Generated by All in One SEO v4.9.8, this is an llms.txt file, used by LLMs to index the site. # MERGA ## Sitemaps - [XML Sitemap](https://merga.net.au/sitemap.xml): Contains all public & indexable URLs for this website. ## Posts - [2025 Conference Proceedings](https://merga.net.au/2025-conference-proceedings/) - [MERGA publications, journals and articles.](https://merga.net.au/merga-publications-journals-and-articles/) - ["Maths must change": Experts push for more problem-solving in maths curriculum](https://merga.net.au/hello-world/) - "Maths must change": Experts push for more problem-solving in maths curriculum - [Catherine Attard: Technology in the classroom can improve primary mathematics](https://merga.net.au/catherine-attard-technology-in-the-classroom-can-improve-primary-mathematics/) ## Pages - [MERGA Home](https://merga.net.au/) - MERGA is committed to growing a research community that shapes the future of mathematics education through quality research More about merga Improve Your Grant Writing: Pre-Conference Workshop Read more MERGA Special Working Groups: See how you can contribute Read more MERGA48 Conference 2026: 6–10 July Paramatta SYDNEY Read more Frequently Asked Questions (FAQs) Read more - [MERGA48](https://merga.net.au/merga48/) - MERGA48 Program Conference Program - Draft Overview Full Conference Program (new!) Clements-Foyster Lecture The Clements-Foyster Lecture is an annual award, established in honour of the two founding members of MERGA in 1976/1977, Professor Ken Clements (then at Monash University), and John Foyster (then based at the Australian Council for Educational Research (ACER)). The first Clements-Foyster - [Conference Archive](https://merga.net.au/conference-archive/) - MERGA Conference Page Archive For information on past conferences including Keynote Speakers, Conference Committee Members, Theme and Programs, please click the buttons below.*Some years still under construction.Or visit the following page for the full list of previous Annual Conference Proceedings. MERGA48 – 2026 MERGA47 – 2025 MERGA46 – 2024 - [MERGA 46](https://merga.net.au/merga46/) - Location Final Conference Proceedings Conference Program - Overview Conference Committee Members Conference Co-chairs Proceeding EditorsDr Jana Visnovska, The University of QueenslandDr Emily Ross, The University of QueenslandDr Seyum Getenet, University of Southern QueenslandConference ProgramProfessor Kevin Larkin, Griffith UniversityAssociate Professor Jodie Miller, The University of QueenslandTreasurerDr Margaret Marshman, University of Sunshine Coast MembersDr Saidat Adeniji, University - [MERGA Conference](https://merga.net.au/merga-annual-conference/) - MERGA48 Conference – 20266 – 10 July | Parramatta, Sydney MERGA48 – Beyond Boundaries: Strengthening Futures in Mathematics Education We are excited to confirm the announcement that MERGA48 will be hosted by Western Sydney University on their beautiful Paramatta South Campus, chaired by Prof Catherine Attard, from Monday 6 to Friday 10 July 2026 (note change from - [Conference Program 2026](https://merga.net.au/conference-program-2026/) - MERGA48 Program Conference Program - Draft Overview Full Conference Program (new!) Tuesday Happy Hour (new!) Clements-Foyster Lecture The Clements-Foyster Lecture is an annual award, established in honour of the two founding members of MERGA in 1976/1977, Professor Ken Clements (then at Monash University), and John Foyster (then based at the Australian Council for Educational Research - [Tuesday Happy Hour](https://merga.net.au/tuesday-happy-hour/) - Happy Hour with the Australian Academy of Science The Australian Academy of Science would like to invite you and your fellow MERGA attendees to join us for a thought-provoking afternoon, as we dive into the future of Australian science and its critical role in shaping our nation’s prosperity by 2035. We’ll explore the Australian Academy of - [MERGA Executive](https://merga.net.au/about-merga/executive/) - President Professor Katie Makar The University of Queensland Email: president@merga.net.au Secretary Dr Bronwyn Reid O'Connor The University of Sydney Email: secretary@merga.net.au Treasurer Dr Sze Looi Chin Massey University New Zealand Email: treasurer@merga.net.au Vice President: Communication Dr Kym Fry Griffith University Email: vp.communication@merga.net.au Vice President: Conferences Associate Professor Margaret Marshman University of the Sunshine Coast Email: - [About MERGA](https://merga.net.au/about-merga/) - MERGA exists to provide a range of forums for raising important issues in mathematics education and sharing research findings that speak to how these issues might be effectively addressed. Through two peer-reviewed journals – Mathematics Education Research Journal and Mathematics Teacher Education and Development – and an engaging annual Conference, we promote, share and disseminate - [Other publication information](https://merga.net.au/publications/other-publication-information/) - ICME-15 Conference ProceedingsThe 15th International Congress on Mathematical Education, ICME-15, took place in Sydney, Australia on July 7–14, 2024. A total of 2,322 delegates from around the world participated in the wonderful and rich program including four Plenary Lectures, two Plenary Panels, 30 Discussion Groups, 85 Workshops and three Award Lectures – headed up by Convenor - [Pre-Conference Workshop](https://merga.net.au/pre-conference-workshop/) - Pre-Conference Workshop Pre-Conference Workshop: Improving Your Grant Writing This full-day workshop will be an opportunity for early- and mid-career researchers to learn more about writing grant applications. The day will include a professional learning presentation on Developing a robust proposal by the GrantEd Group. The day will also include lunch, time to work on a - [Tickets Checkout](https://merga.net.au/tickets-checkout/) - [Order Completed](https://merga.net.au/tickets-order/) - [Beth Southwell Practical Implications Award](https://merga.net.au/awards-and-bursaries/beth-southwell-practical-implications-award/) - The Beth Southwell Practical Implications Award (BSPIA) recognises high-quality mathematics education that produces insights for the teaching profession and/or student learning. The award consists of $500 and a plaque to be presented at the conference. The award recipient/s will be invited to present a plenary at the conference and share a blog-style post about their - [Special Working Groups](https://merga.net.au/special-working-groups/) - Membership Required You must be a member to access this content.View Membership LevelsAlready a member? Log in here - [Membership](https://merga.net.au/membership/) - MERGA invites you to join or renew your membership to our community of educators and researchers interested in improving the conditions and opportunities to learn mathematics. JOIN HERE Already a member? Log in Username or Email Address Password Remember Me Log In Lost your password? Why Join? Membership benefits include: Access to the Mathematics Education - [Registration](https://merga.net.au/registration/) - Registration Early Registration – before 1 June 2026 Members: Full Conference RegistrationNon-members: Full Conference RegistrationNon-members: Full Conference Registration + MERGA Membership $800$900$1000 General Registration – from 1 June 2026 Members: Full Conference RegistrationNon-members: Full Conference RegistrationNon-members: Full Conference Registration + MERGA Membership $950$1000$1150 Other Registration Students: Full Conference RegistrationRetired MERGA Members: Full Conference RegistrationDay Conference - [Bursaries](https://merga.net.au/awards-and-bursaries/bursaries/) - Conference Bursaries The MERGA Executive provides bursaries to members to encourage and enable attendance at the annual Conference. Each bursary is intended to reimburse the cost of early Conference registration at the relevant level of membership and is subject to the acceptance of the applicant’s contribution to the conference for which the bursary is sought.Interested individuals - [Early Career Research Award](https://merga.net.au/awards-and-bursaries/early-career-research-award/) - In order to encourage new researchers in mathematics education, MERGA sponsors an award to an author in the early part of her/his career. The award, for excellence in writing and presenting a piece of mathematics education research, consists of a plaque and a prize of $500 and is presented at the annual conference. As part - [MERGA 50-Year Celebration](https://merga.net.au/merga-50-year-celebration/) - Standing on the shoulders of giants – 50 years of MERGA Welcome to the 50 year celebration of the Mathematics Education Research Group of Australasia!Introductory paragraph, could include welcome note from president, organising committee or both. MERGA Over the Years Placeholder: content headingPlaceholder: content text Placeholder: content headingPlaceholder: content text To see more information on - [Mathematics Teacher Education Development (MTED)](https://merga.net.au/mathematics-teacher-education-development-mted/) - Mathematics Teacher Education and Development (MTED) Journal The Mathematics Teacher Education and Development Journal (MTED) has been published continuously by MERGA since 1999. It is a free-access online, international, refereed journal which provides a stimulating collection of articles with a focus on mathematics teacher education in the broader sense. Manuscripts should be prepared using the - [Submissions](https://merga.net.au/merga-annual-conference/submissions/) - Submissions Early Bird Submission – 25th January 2026 – NOW CLOSEDEarly Career Award Papers – 25th January 2026 – NOW CLOSEDResearch Symposia Papers – 15 March 2026 – NOW CLOSEDResearch Papers – 15 March 2026 – NOW CLOSEDBeth Southwell Practical Implications Award Papers – 15 March 2026 – NOW CLOSEDShort Communications/Round Tables/Special Working Groups – - [Mathematics Education Research Journal (MERJ)](https://merga.net.au/mathematics-education-research-journal-merj/) - Mathematics Education Research Journal - MERJ The Mathematics Education Research Journal (MERJ) has been published by MERGA since 1989. The journal seeks to promote high quality research that is of interest to the Australasian and international community. It seeks to present research that promotes new knowledge, ideas, methodologies and epistemologies in the field of mathematics - [MERGA History](https://merga.net.au/merga-history/) - MERGA Since 1977 (suggested heading only) MERGA was established in 1977 when a group of mathematics education researchers came together for the inaugural Conference, MERGA1. A video of reflections from those who attended the MERGA1 Conference presented at the MERGA40 Anniversary Conference is available here. MERGA has a rich history spanning more than 40 years. - [Venue](https://merga.net.au/merga-annual-conference/location/) - Location and Venue Welcome to Western Sydney University – Parramatta South Campus Western Sydney University’s Parramatta South Campus is a vibrant hub of learning, innovation and community in one of Australia’s fastest-growing urban regions. Located on Victoria Road in the suburb of Rydalmere, New South Wales, the campus is part of the university’s broader Parramatta - [Research Awards](https://merga.net.au/awards-and-bursaries/research-awards/) - The MERGA Research Award is for an individual or a team that has made an outstanding contribution to mathematics education research in the previous three years. Normally, one award will be made each year and presented at the AGM, but the Executive may decide to make more than one award, or no awards, in any - [2024 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2024-conference-proceedings/) - 2024 Full Conference Proceedings MERGA 46 – Surfing the Waves of Mathematics Education 30 June – 4 July 2024 Gold Coast, AustraliaEditors: Jana Višňovská, Emily Ross and Seyum Getenet CLEMENTS-FOYSTER LECTUREA Deep Dive into Mathematics Education Research in Search of Significance – Janette BobisKEYNOTE ADDRESSESInterventions and Development of Mathematics Education for Primary Schools – Mercy - [MERGA News](https://merga.net.au/newsletter/) - Membership Required You must be a member to access this content.View Membership LevelsAlready a member? Log in here - [MERGA 47](https://merga.net.au/merga47/) - Location Final Conference Proceedings Conference Program - Overview Full Conference Program Conference Committee Members Conference Chair Dr Tracy LoganUniversity of Canberra Associate ChairsAssociate Professor Ilyse Resnick Associate Professor Sitti Patahuddin Proceedings EditorsAssociate Professor Sitti Patahuddin (Co-Lead)Dr Lorraine Gaunt (Co-Lead)Dr Danielle HarrisDr Kristen Tripet ProgramAssociate Professor Ilyse Resnick (Lead)Dr Danielle HarrisMr Jonathan AdamsDr Kristen Tripet Other - [Publications](https://merga.net.au/publications/) - MERGA's Publications The Mathematics Education Research Journal (MERJ) has been published by MERGA since 1989. The journal seeks to promote high quality research that is of interest to the Australasian and international community. It seeks to present research that promotes new knowledge, ideas, methodologies and epistemologies in the field of mathematics education. READ MORE The - [MERGA Position Statement](https://merga.net.au/positionstatement/) - MERGA Position Statement on Effective Mathematics Teaching MERGA affirms that effective mathematics teaching requires multiple pedagogical strategies that respond to student needs, local contexts and learning goals. No single teaching approach can develop all of the knowledge, practices and dispositions needed for deep understanding of mathematics with purpose. Any recommendations about effective teaching in mathematics must - [Members' Area](https://merga.net.au/membership/members-area/) - Membership Required You must be a member to access this content.View Membership LevelsAlready a member? Log in here - [AGM Minutes & Financial Reports](https://merga.net.au/membership/members-area/agm-reports/) - Membership Required You must be a member to access this content.View Membership LevelsAlready a member? Log in here - [Publication search](https://merga.net.au/publication-search/) - [Search publications](https://merga.net.au/search-publications/) - Search our publications Search - [Privacy Policy](https://merga.net.au/privacy-policy/) - MERGA is committed to providing quality services to you and this policy outlines our ongoing obligations to you in respect of how we manage your Personal Information. We have adopted the Australian Privacy Principles (APPs) contained in the Privacy Act 1988 (Cth) (the Privacy Act). The APPs govern the way in which we collect, use, - [2025 Quick Reads](https://merga.net.au/2025-quick-reads/) - 2025 Quick Reads Clements-Foyster LectureUnlocking Minds: The Pendulum of Mathematics Pedagogy – Catherine AttardEarly Career Research AwardPromoting Financial Numeracy through Mathematics Education – Dinah WeidenhoferKeynote PresentationUnlocking minds by conceptually focused, student-centred explicit mathematics teaching and quantitative evidence for effectiveness – Susan PredigerResearch PapersArgument-based Mathematical Inquiry: Teacher Strategies for Supporting Young Students’ Collective Argumentation – Jill - [2025 Teacher Reads](https://merga.net.au/2025-teacher-reads/) - Beth Southwell Practical Implications AwardExploring the Complexity of Students’ Inconsistent Relational Understanding of the Equal Sign – SunResearch PapersTeachers’ conceptions of the term ‘success’ in mathematics classrooms – Burtenshaw et al.Scripted Solutions? Rethinking Outsourced Curriculum Planning and Teacher Workload Challenges – RossPerceived Benefits of Collaborative Learning when Solving Cognitively Demanding Tasks – LoughlandExperiences of Pre-multiplicative - [Member search](https://merga.net.au/member-search/) - [Teacher Reads](https://merga.net.au/publications/teacher-reads/) - Teacher Reads Teacher Reads are one-page extracts of research findings from MERGA conference papers. The purpose of Teacher Reads is to disseminate aspects of research that is meaningful to teachers, such as mathematical tasks, assessment tools, strategies for teaching, considerations for student learning, findings of research that may impact classroom practice, etc. We hope teachers will draw inspiration - [Quick Reads](https://merga.net.au/publications/quick-reads/) - Quick Reads Quick Reads are one-page extended abstracts of conference papers presented at MERGA conferences. They provide readers with a quick overview of the nature of research papers presented at the conference. With the exception of the Plenary and Early Career Award (ECA) papers, these papers are in no way ranked to be in any order - [2000 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2000-conference-proceedings/) - 2000 Full Conference Proceedings MERGA23 – Mathematics Education Beyond 2000 5 – 9 July 2000 Fremantle, Australia Editors: J Bana & A Chapman KEYNOTE ADDRESSES Bridging Practices: Intertwining Content and Pedagogy in Teaching and Learning to Teach – Deborah Loewenberg Ball Looking Backwards, Looking Forwards, and Looking for Direction – Andy Begg Bridging the Gap: A - [2001 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2001-confreence-proceedings/) - 2001 Full Conference Proceedings MERGA24 – Numeracy and Beyond 30 June – 4 July 2001 Sydney, AustraliaEditors: Janette Bobis, Bob Perry & Michael Mitchelmore KEYNOTE ADDRESSESConnecting Mathematics Education Research to Practice – Judith SowderUnderstanding, Assessing, and Developing Young Children’s Mathematical Thinking: Research as a Powerful Tool for Professional Growth – Doug Clarke RESEARCH PAPERSThe Mathematics Enhancement - [2002 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2002-conference-proceedings/) - 2002 Full Conference Proceedings MERGA25 – Mathematics Education in the South Pacific 7 – 10 July Auckland, New ZealandEditors: B Barton, K C Irwin, M Pfannkuch & M O J Thomas KEYNOTE ADDRESSES A Samoan Perspective on Pacific Mathematics Education – Karoline Afamasaga-Fuata’i Making a Difference: The Early Numeracy Project – Gill Thomas, AndrewTagg & - [2003 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2003-conference-proceedings/) - 2003 Full Conference Proceedings MERGA26 – Mathematics Education Research: Innovation, Networking, Opportunity 6 – 10 July 2003 Geelong, AustraliaEditors: L Bragg, C Campbell, G Herbert & J Mousley KEYNOTE ADDRESSESOpportunities to Learn Mathematics – Anne WatsonThe TIMSS 1999 Video Study and its Relevance to Australian Mathematics Education Research, Innovation, Networking, and Opportunities – Hilary HollingsworthWorking - [2004 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2004-conference-proceedings/) - 2004 Full Conference Proceedings MERGA27 – Mathematics Education for the Third Millennium, Towards 2010 27 – 30 June 2004 Townsville, AustraliaEditors: Ian Putt, Rhonda Faragher & Mal McLean TABLE OF CONTENTSKEYNOTE ADDRESSESAustralian Mathematics Learning in an International Context – Barry McGawMathematics Education for the Third Millennium: Visions of a future for handheld classroom technology – - [2005 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2005-conference-proceedings/) - 2005 Full Conference Proceedings MERGA28 – Building Connections: Research, Theory and Practice 7 – 9 July 2005 Melbourne, AustraliaEditors: Philip Clarkson, Ann Downton, Donna Gronn, Marj Horne, Andrea McDonough, Robyn Pierce & Anne Roche TABLE OF CONTENTSKEYNOTE ADDRESSESEssential Complementarities: Arguing for an Integrative Approach to Research in Mathematics Classrooms – David ClarkeThe Impact of Mathematics - [2006 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2006-conference-proceedings/) - 2006 Full Conference Proceedings MERGA29 – Identities, Cultures and Learning Spaces 1 – 5 July 2006 Canberra, AustraliaEditors: Peter Grootenboer, Robyn Zevenbergen & Mohan Chinnappan TABLE OF CONTENTSKEYNOTE ADDRESSESCreating Learning Spaces – Merrilyn GoosNew Directions for Research on Mathematical Problem Solving – Richard Lesh PRACTICAL IMPLICATIONS AWARD To heal and enthuse: Developmental bibliotherapy and pre-service primary - [2007 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2007-conference-proceedings/) - 2007 Full Conference Proceedings MERGA30 – Mathematics: Essential Research, Essential Practice 2 – 6 July 2007 Hobart, AustraliaEditors: Jane Watson & Kim Beswick TABLE OF CONTENTSKEYNOTE ADDRESSESThe Beginnings of MERGA – Ken ClementsTeaching and Learning by Example – Helen L. ChickIntroducing Students to Data Representation and Statistics – Richard LehrerStudies in the Zone of Proximal - [2008 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2008-conference-proceedings/) - 2008 Full Conference Proceedings MERGA31 – Navigating currents and charting directions 28 June – 1 July 2008 Brisbane, AustraliaEditors: Merrilyn Goos, Ray Brown & Katie Makar KEYNOTE ADDRESSESPraxis and Practice Architectures in Mathematics Education – Stephen KemmisStars, Compass, and GPS: Navigating Currents and Charting Directions for Mathematics Education Research on Gender Issues – Helen Forgasz PRACTICAL IMPLICATIONS - [2009 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2009-conference-proceedings/) - 2009 Full Conference Proceedings MERGA32 – Crossing Divides 5 – 9 July 2009 Wellington , New ZealandEditors: R Hunter, B Bicknell & T Burgess KEYNOTE ADDRESSESBeing Mathematical, Holding Mathematics: Further Steps in Mathematical Knowledge for Teaching – Bill BartonDeveloping Pedagogies in Teacher Education to Support Novice Teachers’ Ability to Enact Ambitious Instruction – Elham Kazemi, - [2010 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2010-conference-proceedings/) - 2010 Full Conference Proceedings MERGA33 – Shaping the Future of Mathematics Education 3 – 7 July 2010 Fremantle, AustraliaEditors: Len Sparrow, Barry Kissane & Chris Hurst KEYNOTE ADDRESSESReform under attack – Forty Years of Working on Better Mathematics Education thrown on the Scrapheap? No Way! – Marja van den Heuvel-PanhuizenStructured Failing: Reshaping a Mathematical Future - [2011 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2011-conference-proceedings/) - 2011 Full Conference Proceedings MERGA34 – Mathematics: Traditions and [New] Practices Proceedings of the AAMT–MERGA Conference, incorporating the 23rd Biennial Conference of The Australian Association of Mathematics Teachers Inc.3 – 7 July 2011 Alice Springs, AustraliaEditors: Julie Clark, Barry Kissane, Judith Mousley, Toby Spencer & Steve Thornton KEYNOTE ADDRESSESLessons Learned from The Center for the - [2012 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2012-conference-proceedings/) - 2012 Full Conference Proceedings MERGA35 – Mathematics Education: Expanding Horizons 2 – 6 July 2012 SingaporeEditors: Jaguthsing Dindyal, Lu Pien Cheng & Swee Fong Ng KEYNOTE ADDRESSESMathematics Education as a Multicultural Field of Research and Practice: Outcomes and Challenges – Michèle ArtigueMERGA 2012: Where We’ve Been, Where We Are, and Where We’re Going – M. - [2013 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2013-conference-proceedings/) - 2013 Full Conference Proceedings MERGA36 – Mathematics Education: Yesterday, Today and Tomorrow 7 – 11 July 2013 Melbourne, AustraliaEditors: Vicki Steinle, Lynda Ball & Caroline Bardini KEYNOTE ADDRESSESBringing research on students’ understanding into the classroom through formative assessment – Kaye StaceyProblem finding, problem posing, problem solving: Mathematics education research – Yesterday, today, tomorrow – Gloria - [2014 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2014-conference-proceedings/) - 2014 Full Conference Proceedings MERGA37 – Curriculum in Focus: Research Guided Practice 29 June – 3 July 2014 Sydney, AustraliaEditors: Judy Anderson, Michael Cavanagh & Anne Prescott KEYNOTE ADDRESSCustodians of Quality: Mathematics Education in Australasia Where from? Where at? Where to? – Peter GalbraithEvolution of Singapore’s School Mathematics Curriculum – Berinderjeet KaurMathematics Education Development Research - [2015 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2015-conference-proceedings/) - 2015 Full Conference Proceedings MERGA38 – Mathematics Education in the Margins 28 June – 2 July 2015 Sunshine Coast, AustraliaEditors: Margaret Marshman, Vince Geiger & Anne Bennison KEYNOTE ADDRESSESExploring a Structure for Mathematics Lessons that Foster Problem Solving and Reasoning – Peter Sullivan, Nadia Walker, Chris Borcek, & Mick RennieMathematics Education as a Field of - [2016 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2016-conference-proceedings/) - 2016 Full Conference Proceedings MERGA39 – Opening Up Mathematics Education Research 3 – 7 July 2016 Adelaide, AustraliaEditors: Bruce White, Mohan Chinnappan & Sven Trenholm KEYNOTE ADDRESSESHow Theory-Building Research on Instruction can Support Instructional Improvement: Toward a Modelling Perspective in Secondary Geometry – Patricio HerbstWhither Statistics Education Research? – Jane WatsonLearning by Leading: Dynamic Mentoring to Support - [2017 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2017-conference-proceedings/) - 2017 Full Conference Proceedings MERGA40 – 40 years on: We are still learning! 2 – 6 July 2017 Melbourne, AustraliaEditors: Ann Downton, Sharyn Livy, & Jennifer Hall CLEMENTS-FOYSTER LECTUREIn Search of Mathematical Structure: Looking Back, Beneath, and Beyond – 40 Years On – Joanne Mulligan KEYNOTE ADDRESSESThe “M” in STEM: National Perspectives – Alan FinkelWe are - [2018 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2018-conference-proceedings/) - 2018 Full Conference Proceedings MERGA41 – Making Waves, Opening Spaces 1 – 5 July 2018 Auckland, New ZealandEditors: Jodie Hunter, Lisa Darragh, & Pam Perger KEYNOTE ADDRESSESExamining Historical Pedagogies Towards Opening Spaces for Teaching all Mathematics Learners in Culturally Responsive Ways – Robin AverillLooking for Structure: Moving Out of the Realm of Computation to Explore - [2019 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2019-conference-proceedings/) - 2019 Full Conference Proceedings MERGA42 – Mathematics Education Research: Impacting Practice 30 June – 4 July 2019 Perth, AustraliaEditors Gregory Hine, Susan Blackley, & Audrey Cooke CLEMENTS-FOYSTER LECTUREApplying and building on what we know: Issues at the intersection of research and practice – Dianne Siemon KEYNOTE ADDRESSESInvestigating What It Takes to Improve the Quality of Mathematics - [2021 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2021-conference-proceedings/) - 2021 Full Conference Proceedings MERGA43 – Excellence in Mathematics Education: Foundations & Pathways 5 – 8 July 2021 SingaporeEditors: Yew Hoong Leong, Berinderjeet Kaur, Ban Heng Choy, Joseph Boon Wooi Yeo, & Sze Looi Chin CLEMENTS FOYSTER LECTURE“Becoming” a researcher in mathematics education – Vince Geiger KEYNOTE ADRESSESThe devil in details: Mathematics teaching and learning as - [2022 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2022-conference-proceedings/) - 2022 Full Conference Proceedings MERGA44 – Mathematical Confluences and Journeys 3 – 7 July 2022 Launceston, AustraliaEditors: Noleine Fitzallen, Carol Murphy, Vesife Hatisaru, & Nicole Maher CLEMENTS FOYSTER LECTUREThe Practice of Mathematics Education – Peter Grootenboer KEYNOTE ADDRESSES Appreciating the Intra-/Extra-mathematical Importance of Mathematics: Added Pedagogical Value Through Rapprochement and Synergy of Primary, Secondary and Tertiary - [2023 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2023-conference-proceedings-2/) - 2023 Full Conference Proceedings MERGA45 – Weaving Mathematics Education From All Perspectives 2 – 6 July 2023 Newcastle, Australia Editors: Bronwyn Reid-O’Connor, Elena Prieto-Rodriguez, Kathryn Holmes & Amber Hughes CLEMENTS-FOYSTER LECTUREGenerative Teacher Practitioners: Enacting Adaptive Expertise in and Beyond the Classroom – Colleen Vale KEYNOTE ADDRESSESCollaboration and Partnership; Indigenous Mathematics and Promoting Justice – Judy-Anne Osborn & Michael DonovanRestor(y)ing - [1992 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/1992-conference-proceedings/) - 1992 Full Conference Proceedings MERGA15 – Space: The First and Final Frontier 4 – 8 July 1992 Sydney, AustraliaEditors: B Southwell, B Perry & K Owens KEYNOTE ADDRESSESAustralian Space – Pushing Back the Frontiers – Pam HarrisBringing Theory into The Classroom: The School as a Learning Environment for Teachers – Richard R. SkempDoing and Construing - [1993 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/1993-conference-proceedings/) - 1993 Full Conference Proceedings MERGA16 – Contexts in Mathematics Education 9 – 13 July 1993 Brisbane, Australia Editors: W Atweh, C Kanes, M Carss & G Booker KEYNOTE ADDRESSESConceptualising Cultural and Social Contexts in Mathematics Education – Alan J. BishopContemplating Cultural Constructs – Bill BartonMathematics Learning in The Social Context: Reconciling Individual Construction with Enculturation into - [1994 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/1994-conference-proceedings/) - 1994 Full Conference Proceedings MERGA17 – Challenges in Mathematics Education: Constraints on Construction 5 – 8 July 1994 Lismore, AustraliaEditors: G Bell, B Wright, N Leeson & J Geeke KEYNOTE ADDRESSESChallenges and Constraints for Constructing Curriculum – Kaye StaceyRadical Constructivism versus Piaget’s Operational Constructivism in Mathematics Education – Woo, Jeong-HoResearch in Mathematics Education – Constraints - [1995 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/1995-conference-proceedings/) - 1995 Full Conference Proceedings MERGA18 – Galtha 7 – 10 July 1995 Darwin, AustraliaEditors: Bill Atweh & Steve Flavel KEYNOTE ADDRESSReflective Discourse and Collective Reflection – Paul Cobb, Ada Boufi, Kay McClain & Joy Whitenack PRACTICAL IMPLICATIONS AWARDI Don’t Understand Part b or How You Find the Answer!: The Development of a Student Response Feedback Framework - [1996 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/1996-conference-proceedings/) - 1996 Full Conference Proceedings MERGA19 – Technology in Mathematics Education 30 June – 3 July 1996 Melbourne, AustraliaEditor: P C Clarkson KEYNOTE ADDRESSESGood Use of Technology Changes the Nature of Classroom Mathematics – Susie GrovesLearning Research – David ClarkeThe Role of Physical and Cybernetic Phenomena in Building Intimacy with Mathematical Representations – James J. Kaput RESEARCH - [1997 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/1997-conference-proceedings/) - 1997 Full Conference Proceedings MERGA20 – People in Mathematics Education 7 – 11 July 1997 Rotorua, New ZealandEditors: F Biddulph & K Carr KEYNOTE ADDRESSES… I do and I understand, and then I forget. The role of memory in Mathematics Education – Gordon KnightDo disadvantaged students fail mathematics or does mathematics fail disadvantaged students? – - [1998 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/1998-conference-proceedings/) - 1998 Full Conference Proceedings MERGA21 – Teaching Mathematics in New Times 5 – 8 July 1998 Gold Coast, AustraliaEditors: Clive Kanes, Merrilyn Goos & Elizabeth Warren KEYNOTE ADDRESSESI Keep Six Honest Serving Men – Peter GalbraithThe 3 Rs in New Times: Research, Rhetoric, and Reality – Lyn D. EnglishThe Intension/Intention of Teaching Mathematics – Stephen - [1999 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/1999-conference-proceedings/) - 1999 Full Conference Proceedings MERGA22 – Making the Difference 4 – 7 July 1999 Adelaide, Australia Editors: J M Truran & K M Truran KEYNOTE ADDRESSESMaking Sense of Primary Mathematics – Gillian M. Boulton-LewisResearch in Mathematics Education in Australia: What it was – What it is – What it might be – J.P. KeevesSeeking a Rationale - [2025 Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/2025-conference-proceedings/) - 2025 Full Conference Proceedings MERGA47 – Unlocking Minds in Mathematics Education 6 – 10 July 2025 Canberra, AustraliaEditors: Sitti Maesuri Patahuddin, Lorraine Gaunt, Danielle Harris, & Kristen Tripet CLEMENTS-FOYSTER LECTURE Unlocking Minds: Exploring the Pendulum of Mathematics Pedagogy – Catherine Attard KEYNOTE ADDRESSES Unlocking Minds by Conceptually Focused, Student-Centred Explicit Mathematics Teaching and Quantitative Evidence for Effectiveness - [Annual Conference Proceedings](https://merga.net.au/publications/annual-conference-proceedings/) - MERGA has a strong tradition of sharing current research and ideas from its annual conference to a wider audience, through publication of the proceedings. A complete proceedings is made available on this website at the time of the annual conference, for use by delegates. Following the conference, individual papers will also be uploaded to this - [MERGA47Home](https://merga.net.au/merga47home/) - MERGA47 Conference6 – 10 July | Canberra MERGA47, our 2025 conference, will be held in Canberra. The opening of the conference will be held at the iconic Shine Dome, the home of Australian science. All subsequent days will be at the University of Canberra. Boasting national attractions and an array of restaurants and bars, Australia’s capital is - [Newsletter Archive](https://merga.net.au/newsletterarchive/) - Membership Required You must be a member to access this content.View Membership LevelsAlready a member? Log in here - [MERGA News](https://merga.net.au/2025newsletter4/) - Membership Required You must be a member to access this content.View Membership LevelsAlready a member? Log in here - [Life Membership](https://merga.net.au/awards-and-bursaries/life-membership/) - The award of Life Membership recognises long association with, and service to, the MERGA community; leadership and innovation within the MERGA community; a contribution to raising the profile of MERGA and enhancing its standing nationally and internationally. Recipients Ken Clements John Foyster Peter Galbraith Grahame Jones Gilah Leder Ken Milton Mike Mitchelmore Beth Southwell - [Conference Program](https://merga.net.au/merga-annual-conference/conference-program-2025/) - Home Programme Venue Submissions Home Programme Venue Submissions Final Conference Proceedings Conference Program - Overview Full Conference Program MERGA47 Keynote Speakers Professor Susanne Prediger TU Dortmund University BIOGRAPHYSusanne Prediger is a full professor in Mathematics Education at TU Dortmund University and director of the DZLM research network (the German National Centre for Mathematics Teacher Education) - [MERGA News](https://merga.net.au/2025newsletter3/) - 2025 MERGA Newsletter #3 : The latest news from MERGA Dear Members,Welcome to the latest news from MERGA.Newsletter #3 includes breaking news for the MERGA Panel Discussion – Responding to the Narrative, reminders for the MTED special issue and nominations for the MERGA Career Research Medal. We also have updates on conference submissions, tips on - [Research in Mathematics Education in Australasia (RiMEA)](https://merga.net.au/research-in-mathematics-education-in-australasia-rimea/) - Research in Mathematics Education in Australasia (RiMEA) Every four years, MERGA members prepare a critical review of research and publish it as an edited book with Springer.The latest volume is RIMEA 2020-2023 published in 2024. Editors: Carmel Mesiti, Wee Tiong Seah, Berinderjeet Kaur, Cath Pearn, Anthony Jones, Scott Cameron, Emma Every & Kate CoppingA call for editors - [MERGA Career Research Medal](https://merga.net.au/awards-and-bursaries/merga-career-research-medal/) - A MERGA Career Research Medal (MCRM) is to be awarded as required (not necessarily annually) to a long-term and active MERGA member who has made a sustained and distinguished contribution to research in mathematics education in Australasia and internationally. The award of this medal reflects MERGA’s pride in a MERGA member’s outstanding research. Normally, the - [Membership Join](https://merga.net.au/membership/membership-join/) - [pmpro_levels] - [Member Directory](https://merga.net.au/membership/member-directory/) - Search for: Viewing All Profiles Showing 1-15 of 215 Results Agnita Siska Pramasdyahsari Location: Queensland View Profile Ajay Ramful Location: Moka View Profile Alan McCarthy View Profile Allan Dougan Location: ACT View Profile Amanda Wyburn View Profile Amy Markham Location: QLD View Profile Andy Yeh Location: QLD View Profile Angela Rogers Location: VIC View Profile - [2023 Teacher Reads](https://merga.net.au/publications/teacher-reads/2023-teacher-reads/) - Design principles for raising students’ awareness of implicit features of ratio: Creating opportunities to make and catch mistakesSze Looi Chin (Early Career Award)Enjoyable mathematics lessons can be contagiousMaggie Feng, Janette Bobis, Bronwyn Reid O’Connor & Jennifer WayHigh stakes examination tasks as impetus for primary mathematics teachers’ reform in their instructional practiceBerinderjeet KaurRepresenting multiple constructs of - [Summer Days Archive](https://merga.net.au/summer-days-archive/) - Recordings of MERGA Summer Days 2020 AAMT and MERGA Policy ConversationsAccess Passcode: .?Q7wYFc Saying “Yes” or “No” – The answers that shaped the direction of my academic careerAccess Passcode: .?Q7wYFc Learn how to structure a review that effectively develops others’ thinking and writing MERGA Mentoring Program PitstopAccess Passcode: *h4kj+m6 Looking forward: The role of research - [Awards and Bursaries](https://merga.net.au/awards-and-bursaries/) - MERGA Career Research Medal A MERGA Career Research Medal (MCRM) is to be awarded as required (not necessarily annually) to a long-term and active MERGA member who has made a sustained and distinguished contribution to research in mathematics education in Australasia and internationally. The award of this medal reflects MERGA’s pride in a MERGA member’s - [2023 Quick Reads](https://merga.net.au/publications/quick-reads/merga-2023-quick-reads/) - 2023 Quick Reads Plenary Presentations Collaboration and Partnership: Indigenous Mathematics and Promoting Justice – Judy-Anne Osborne & Michael Donovan Restor(y)ing Mathematics, Restor(y)ing Ourselves: A Spiritual Turn in Mathematics Education – Rochelle Gutiérrez Merging Mathematics Research and Development: Connecting Communities in an Emerging Network of Local and National Projects – Mellony Graven Clements-Foyster Lecture Generative teacher - [2024 Quick Reads](https://merga.net.au/publications/quick-reads/2024-quick-reads/) - 2024 Quick Reads Plenary PresentationsTowards Embodied Validity in Mathematics Education Research – Nathalie SinclairInterventions and Development of Mathematics Education for Primary Schools – Mercy KazimaClements-Foyster LectureA Deep Dive into Mathematics Education Research in Search of Significance – Janette BobisBeth Southwell Practical Implications AwardTurn Left, Turn Right: An Embodied Perspective on Children’s Difficulties With Left/Right Spatial - [2024 Teacher Reads](https://merga.net.au/publications/teacher-reads/2024-teacher-reads/) - An Analysis of Multiplicative Thinking Development in Years 3 to 6 – Lei Bao & Max Stephens Australian Junior Secondary Students’ Approaches to Solving Ratio Problems Prior to Formal Instruction and Their Misconceptions – Michelle Cheung, Bronwyn Reid O’Connor & Ben Zunica Beliefs about the Active, Bodily Experience Mathematics Learning Activities: An Explorative Teacher Survey - [2021 Quick Reads](https://merga.net.au/publications/quick-reads/2021-quick-reads/) - 2021 Quick Reads - [Old Annual Conference Proceedings](https://merga.net.au/publications/old-annual-conference-proceedings/) - Download this document for a complete list of the proceedings since 1977. List of Conference Proceedings Quick Reads Quick Reads are one-page extended abstracts of conference papers presented at MERGA conferences. They provide readers with a quick overview of the nature of research papers presented at the conference. The papers are a diverse selection of - [2022 Quick Reads](https://merga.net.au/publications/quick-reads/merga-2022-quick-reads/) - MERGA 2022 Quick Reads - [Conference Bursaries](https://merga.net.au/conference-bursaries/) - The MERGA Executive provides bursaries to members to encourage and enable attendance at the annual conference. Each bursary is intended to reimburse the cost of early conference registration at the relevant level of membership. A person can receive only one bursary at a time and can only be awarded each bursary once. Applications, together with all - [Member Forum](https://merga.net.au/membership/member-forum/) - Membership Required You must be a member to access this content.View Membership LevelsAlready a member? Log in here - [Log In](https://merga.net.au/membership/login/) - MERGA invites you to join our community (or renew your membership) of educators and researchers interested in improving the conditions and opportunities to learn mathematics. JOIN NOW Already a member? Log in Username or Email Address Password Remember Me Log In Lost your password? Why Join? Membership benefits include: Access to the Mathematics Education Research - [Profile](https://merga.net.au/membership/profile/) - Unable to retrieve member profile. Go back to Directory Research Demographic Information Unable to retrieve member profile. Go back to Directory Area of Research Interests Unable to retrieve member profile. Go back to Directory Research Methods Unable to retrieve member profile. 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Your Events Calendar Template July 20 @ 9:41 pm $10 Categories: Demo Category Tags: Website: http://theeventscalendar.com John Doe Mock Venue 1005 S Michigan Ave Chicago, Illinois United States + Google Map 123-456-7890 View Venue Website Add to calendar Google Calendar iCalendar - [Career Research Medal](https://merga.net.au/?elementor_library=career-research-medal) - A MERGA Career Research Medal (MCRM) is to be awarded as required (not necessarily annually) to a long-term and active MERGA member who has made a sustained and distinguished contribution to research in mathematics education in Australasia and internationally. The award of this medal reflects MERGA’s pride in a MERGA member’s outstanding research. 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Through two peer-reviewed journals – Mathematics Education Research Journal and Mathematics Teacher Education and Development – and an engaging annual Conference, we promote, share and disseminate - [Registration 2026](https://merga.net.au/?elementor_library=registration-2026) - Registration Early Registration – before 1 June 2026 Members: Full Conference RegistrationNon-members: Full Conference RegistrationNon-members: Full Conference Registration + MERGA Membership $800$900$1000 General Registration – from 1 June 2026 Members: Full Conference RegistrationNon-members: Full Conference RegistrationNon-members: Full Conference Registration + MERGA MembershipStudents: Full Conference RegistrationRetired MERGA Members: Full Conference RegistrationDay Conference RegistrationTeachers’ Day Conference RegistrationAccompanying - [Pre-Conference Workshop 2026](https://merga.net.au/?elementor_library=pre-conference-workshop-2026) - Pre-Conference Workshop Pre-Conference Workshop: Improving Your Grant Writing This full-day workshop will be an opportunity for early- and mid-career researchers to learn more about writing grant applications. The day will include a professional learning presentation on Developing a robust proposal by the GrantEd Group, lunch and time to work on a new or existing application. When: - [Research Symposia](https://merga.net.au/?elementor_library=research-symposia) - Content area - [Research Papers](https://merga.net.au/?elementor_library=research-papers) - Content area - [Short Communications](https://merga.net.au/?elementor_library=short-communications) - Content area - [MERGA Archive Page](https://merga.net.au/?elementor_library=merga-archive-page) - MERGA Newsletters and Archives MERGA provides regular newsletters to members including information such as:Current news and events, including member-only career development eventsThe latest from our journals MERJ and MTEDMember updates and achievementsConference news for both MERGA and the wider industryFeatured publicationsA Did You Know? section which takes a look at MERGA’s historyThe MERGA Newsletter is - [Default Kit](https://merga.net.au/?elementor_library=default-kit) - [Conference Program 2025](https://merga.net.au/?elementor_library=conference-program-2025) - Home Programme Venue Submissions Home Programme Venue Submissions Final Conference Proceedings Conference Program - Overview Full Conference Program MERGA47 Keynote Speakers Professor Susanne Prediger TU Dortmund University BIOGRAPHYSusanne Prediger is a full professor in Mathematics Education at TU Dortmund University and director of the DZLM research network (the German National Centre for Mathematics Teacher Education) - [Quick Reads](https://merga.net.au/?elementor_library=quick-reads-2) - 2024 Quick Reads Plenary PresentationsTowards Embodied Validity in Mathematics Education Research – Nathalie SinclairInterventions and Development of Mathematics Education for Primary Schools – Mercy KazimaClements-Foyster LectureA Deep Dive into Mathematics Education Research in Search of Significance – Janette BobisBeth Southwell Practical Implications AwardTurn Left, Turn Right: An Embodied Perspective on Children’s Difficulties With Left/Right Spatial - [Merga 47 Conference Program](https://merga.net.au/?elementor_library=merga-47-conference-program) - Home Programme Venue Submissions Home Programme Venue Submissions Final Conference Proceedings Conference Program - Overview Full Conference Program MERGA47 Keynote Speakers Professor Susanne Prediger TU Dortmund University BIOGRAPHYSusanne Prediger is a full professor in Mathematics Education at TU Dortmund University and director of the DZLM research network (the German National Centre for Mathematics Teacher Education) - [MERGA 47 Home](https://merga.net.au/?elementor_library=merga-47-home) - MERGA47 Conference6 – 10 July | Canberra MERGA47, our 2025 conference, will be held in Canberra. The opening of the conference will be held at the iconic Shine Dome, the home of Australian science. All subsequent days will be at the University of Canberra. Boasting national attractions and an array of restaurants and bars, Australia’s capital is - [MERGA 47](https://merga.net.au/?elementor_library=merga-47) - Unlocking minds in mathematics education Venue Venue Information This year’s conference will take place across two iconic venues, each offering a unique experience. Official Conference Opening at the Shine DomeOur conference kicks off on Sunday evening at the Australian Academy of Science’s Shine Dome. A true Canberra landmark since 1959, the Shine Dome is not only - [2025 Newsletter #3](https://merga.net.au/?elementor_library=2025-newsletter-3) - 2025 MERGA Newsletter #3 : The latest news from MERGA Dear Members,Welcome to the latest news from MERGA.Newsletter #3 includes breaking news for the MERGA Panel Discussion – Responding to the Narrative, reminders for the MTED special issue and nominations for the MERGA Career Research Medal. We also have updates on conference submissions, tips on - [2025newsletter4](https://merga.net.au/?elementor_library=2025newsletter4) - 2025 MERGA Newsletter #4 : The latest news from MERGA Dear Members,Welcome to this edition of the MERGA Newsletter. A reminder you can now access our latest newsletter through the MERGA website under Members’ Area > MERGA News, or by clicking the below link if this email is not displaying properly (please ensure you are - [MERGA Conference Template](https://merga.net.au/?elementor_library=merga-conference-template) - 2024 Full Conference Proceedings MERGA 46: Surfing the Waves of Mathematics Education 30 June – 4 July 2024 Gold Coast, AustraliaEditors: Jana Višňovská, Emily Ross and Seyum Getenet CLEMENTS-FOYSTER LECTUREA Deep Dive into Mathematics Education Research in Search of Significance – Janette Bobis KEYNOTE ADDRESSESInterventions and Development of Mathematics Education for Primary Schools – Mercy KazimaTowards - [Pre-Conference Workshop](https://merga.net.au/?elementor_library=merga-conference-2) - Unlocking minds in mathematics education Pre-Conference Workshop Pre-Conference Workshop MERGA is pleased to offer a special pre-conference workshop at this year’s annual conference, presented by Janette Bobis and Merrilyn Goos. The workshop builds on key ideas from Janette’s 2024 Clements-Foyster keynote and expands on themes Merrilyn shared during our Summer Speaker Series. When: 12:00 pm to 4:00 pm on - [Conference page](https://merga.net.au/?elementor_library=conference-page) - Unlocking minds in mathematics education Heading Heading Text - [Newsletter Archive](https://merga.net.au/?elementor_library=newsletter-archive) - It seems we can’t find what you’re looking for. - [Location - Conference](https://merga.net.au/?elementor_library=location-conference) - Surfing the waves of mathematics education Location Venue Information The conference will be held at Griffith University’s Gold Coast campus, located at Parklands Dr, Southport QLD 4222. The campus blends modern architecture with the natural beauty of the surrounding area, offering a stimulating environment for learning.Almost all the conference sessions will be on the ground - [Early Career Research Award](https://merga.net.au/?elementor_library=early-career-research-award) - Content area - [Beth Southwell Practical Implications Award Papers](https://merga.net.au/?elementor_library=beth-southwell-practical-implications-award-papers) - Content area - [Early Bird Submission](https://merga.net.au/?elementor_library=early-bird-submission) - Content area - [Awards page](https://merga.net.au/?elementor_library=awards-page) - A MERGA Career Research Medal (MCRM) is to be awarded as required (not necessarily annually) to a long-term and active MERGA member who has made a sustained and distinguished contribution to research in mathematics education in Australasia and internationally. The award of this medal reflects MERGA’s pride in a MERGA member’s outstanding research. Normally, the - [Submissions](https://merga.net.au/?elementor_library=submissions) - Submissions Early Bird Submission – 26th January 2025Early Career Award Papers – 26th January 2025Research Symposia Papers – 26th January 2025Research Papers – 16th March 2025Beth Southwell Practical Implications Award Papers – 16th March 2025Short Communications/Round Tables/Posters – 16th March 2025 Submission FormPlease submit your Early Bird research paper online. We only need the blinded file - [MERGA Conference](https://merga.net.au/?elementor_library=merga-conference) - MERGA CONFERENCE 2025 6 – 10 July | Canberra The MERGA conference for 2025 will be held in Canberra. The opening of the conference will be held at the iconic Shine Dome, the home of Australian science. All subsequent days will be at the University of Canberra. Boasting national attractions and an array of restaurants and bars, - [Teacher Reads](https://merga.net.au/?elementor_library=teacher-reads) - MERGA 2023 Quick Reads - [Quick Reads](https://merga.net.au/?elementor_library=quick-reads) - MERGA 2023 Quick Reads - [About Us](https://merga.net.au/?elementor_library=about-us) - About Us MERGA Constitution The constitution is the key founding document of MERGA. It is a record of agreements on the basic principles of MERGA and is legally binding on all members. This constitution should be read in conjunction with the MERGA By-laws (amended July 2006, August 2021) MERGA Constitution MERGA By-Laws MERGA Policies The - [About MERGA](https://merga.net.au/?elementor_library=about-merga) - About MERGA MERGA exists to provide a range of forums for raising important issues in mathematics education and sharing research findings that speak to how these issues might be effectively addressed. Through two peer-reviewed journals – Mathematics Education Research Journal and Mathematics Teacher Education and Development – and an engaging annual Conference, we promote, share - [publication page header temp](https://merga.net.au/?elementor_library=publication-page-header-temp) - Supported Publications MERGA supports the following publications: Mathematics Education Research Journal (MERJ) Mathematics Teacher Education Development (MTED) Research in Mathematics Education in Australasia (RiMEA) Annual Conference Proceedings - [about page video popup section](https://merga.net.au/?elementor_library=about-page-video-popup-section) - History MERGA was established in 1977 when a group of mathematics education researchers came together for the inaugural Conference, MERGA1. A video of reflections from those who attended the MERGA1 Conference presented at the MERGA40 Anniversary Conference is available here. MERGA has a rich history spanning more than 40 years. Thanks to its founder, Professor - [login popup](https://merga.net.au/?elementor_library=login-popup) - Content area - [Elementor Header #1538](https://merga.net.au/?elementor_library=elementor-header-1538) - Content area - [breadcrumbs with feature image](https://merga.net.au/?elementor_library=breadcrumbs-with-feature-image) - breadcrumbs with feature image - [Programme - MERGA Conference 2023](https://merga.net.au/?elementor_library=programme-merga-conference-2023-2) - Weaving mathematics education research from all perspectives Programme Overview Interactive Calendar Plenary Speakers The Annual Clements-Foyster LectureThe Clements-Foyster Invited Speaker is an annual award, established in honour of the two founding members of MERGA in 1976/1977, Professor Ken Clements (then at Monash University), and John Foyster (then based at the Australian Council for Educational Research - [Programme – MERGA Conference 2023](https://merga.net.au/?elementor_library=programme-merga-conference-2023) - Weaving mathematics education research from all perspectives Programme Overview Interactive Calendar Plenary Speakers The Annual Clements-Foyster LectureThe Clements-Foyster Invited Speaker is an annual award, established in honour of the two founding members of MERGA in 1976/1977, Professor Ken Clements (then at Monash University), and John Foyster (then based at the Australian Council for Educational Research - [Member](https://merga.net.au/?elementor_library=member) - Member MERGA invites you to join our community (or renew your membership) of educators and researchers interested in improving the conditions and opportunities to learn mathematics. JOIN NOW Already a member? Log in Username or Email Address Password Remember Me Log In Lost your password? Why Join? Membership benefits include: Access to the Mathematics Education - [MERGA Executive](https://merga.net.au/?elementor_library=merga-executive) - MERGA Executive President Katie Makar School of EducationUniversity of Tasmania Phone: 61 3 6324 3339 Email: vp.conferences@merga.net.au Vice President Conferences Greg Oates School of EducationUniversity of Tasmania Phone: 61 3 6324 3339 Email: vp.conferences@merga.net.au President Katie Makar School of EducationUniversity of Tasmania Phone: 61 3 6324 3339 Email: vp.conferences@merga.net.au President Katie Makar School of EducationUniversity - [Research Awards](https://merga.net.au/?elementor_library=research-awards) - MERGA Awards and Bursaries The MERGA community recognises and celebrates the achievements of members at every career stage through the following Awards, presented at the annual Conference. MERGA Career Research Medal A MERGA Career Research Medal (MCRM) is to be awarded as required (not necessarily annually) to a long-term and active MERGA member who has - [Home Page](https://merga.net.au/?elementor_library=home-page) - MERGA exists to provide forums for raising important issues in mathematics education and sharing research findings that speak to how these issues might be effectively addressed. More about merga Access to the Mathematics Education Research Journal, published by Springer A members’ registration rate to attend our annual Conference Access to member-only career development events Eligibility ## Events - [Lunch Monday](https://merga.net.au/events/lunch-monday/) - [Research paper](https://merga.net.au/events/research-paper/) - Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry's standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic - [Keynote 2 Sep 3](https://merga.net.au/events/keynote-2-aug-3/) - [Morning Tea Wednesday](https://merga.net.au/events/morning-tea-wednesday/) - Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry's standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic - [Registration Sep 3](https://merga.net.au/events/registration-aug-3/) - [Lunch wednesday](https://merga.net.au/events/lunch-wednesday/) - Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry's standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic - [Mathematics Unraveled: A Journey through Numbers, Patterns, and Beyond](https://merga.net.au/events/mathematics-unraveled-a-journey-through-numbers-patterns-and-beyond/) - Welcome to "Mathematics Unraveled," a captivating event that delves into the enchanting world of numbers, patterns, and the endless wonders of mathematics! This event is tailored for mathematicians, math enthusiasts, students, and curious minds alike. Join us for a day of intellectual exploration and intriguing discussions that will leave you awestruck by the beauty and - [test event](https://merga.net.au/events/test-event/) - sdfas - [Conference Dinner](https://merga.net.au/events/conference-dinner/) - sdf ## Locations - [NSW Department of Education](https://merga.net.au/locations/nsw-department-of-education/) - [Penrith](https://merga.net.au/locations/penrith/) ## Events - [Pre-Conference Workshop: Improving Your Grant Writing](https://merga.net.au/event/pre-conference-workshop-improving-your-grant-writing/) - This full-day workshop will be an opportunity for early- and mid-career researchers to learn more about writing grant applications. The day will include a professional learning presentation on Developing a robust proposal by the GrantEd Group. The day will also include lunch, time to work on a new or existing application, and a Q&A panel session with ## Publications - [The “Back To Basics” Dilemma For Middle School Mathematics Teachers](https://merga.net.au/merga-publications/the-back-to-basics-dilemma-for-middle-school-mathematics-teachers/) - Download Paper - [Improving First Year Mathematics Teaching Through Making Connections: An Action Research Approach](https://merga.net.au/merga-publications/improving-first-year-mathematics-teaching-through-making-connections-an-action-research-approach/) - Jo Balatti & Shaun Belward Improving First Year Mathematics Teaching Through Making Connections: An Action Research Approach - [The Case Of Disappearing And Reappearing Zeros: A Disconnection Between Procedural Knowledge And Conceptual Understanding](https://merga.net.au/merga-publications/the-case-of-disappearing-and-reappearing-zeros-a-disconnection-between-procedural-knowledge-and-conceptual-undeingrstand/) - Ann Downton, James Russo, Sarah Hopkins The Case Of Disappearing And Reappearing Zeros: A Disconnection Between Procedural Knowledge And Conceptual Unde - [Symposium: Attending to Student Diversity in Mathematics Education in Inclusive Settings](https://merga.net.au/merga-publications/symposium-attending-to-student-diversity-in-mathematics-education-in-inclusive-settings/) - [Symposium: From Tensions to Opportunities: Evidencing Mathematics Leadership](https://merga.net.au/merga-publications/symposium-from-tensions-to-opportunities-evidencing-mathematics-leadership/) - [Symposium: Effective Mathematics Teaching: Building Partnerships to Co-Develop Evidence-Based Capability](https://merga.net.au/merga-publications/symposium-effective-mathematics-teaching-building-partnerships-to-co-develop-evidence-based-capability/) - [Mathematics Education Researchers’ Perspectives on Implications of their Research for Primary Teachers](https://merga.net.au/merga-publications/mathematics-education-researchers-perspectives-on-implications-of-their-research-for-primary-teachers/) - [Students of Different Engagement and Achievement Levels Responses to Mathematics Lessons Involving Challenging Tasks](https://merga.net.au/merga-publications/students-of-different-engagement-and-achievement-levels-responses-to-mathematics-lessons-involving-challenging-tasks/) - [Mathematics Homework: The Importance of Pitch](https://merga.net.au/merga-publications/mathematics-homework-the-importance-of-pitch/) - [Investigating High School Students Understanding of Decomposition Techniques in Mathematics](https://merga.net.au/merga-publications/investigating-high-school-students-understanding-of-decomposition-techniques-in-mathematics-2/) - [Supporting the Development of Language and Collaborative Competencies for International Students in 1st Year Mathematics](https://merga.net.au/merga-publications/supporting-the-development-of-language-and-collaborative-competencies-for-international-students-in-1st-year-mathematics/) - [Supporting Out-of-Field Mathematics Teaching in Middle Years of Schooling](https://merga.net.au/merga-publications/supporting-out-of-field-mathematics-teaching-in-middle-years-of-schooling/) - [Analysing the use of Hands-on Tasks to Develop Student Talk and Collaboration](https://merga.net.au/merga-publications/analysing-the-use-of-hands-on-tasks-to-develop-student-talk-and-collaboration/) - [Froebel meets OpenSCAD: Pre-service Teachers form Units in Notes for Children and in Instructions for 3D Cube Constructions](https://merga.net.au/merga-publications/froebel-meets-openscad-pre-service-teachers-form-units-in-notes-for-children-and-in-instructions-for-3d-cube-constructions/) - [Use of Newman Error Analysis Guidelines to Identify Students’ Errors in a Word Problem Involving Fractions](https://merga.net.au/merga-publications/use-of-newman-error-analysis-guidelines-to-identify-students-errors-in-a-word-problem-involving-fractions/) - [Revisiting Pedagogical Design Capacity: Mathematics Teachers' Agency in Designing Instructional Materials](https://merga.net.au/merga-publications/revisiting-pedagogical-design-capacity-mathematics-teachers-agency-in-designing-instructional-materials/) - [Enhancing Problem-Solving Skills Among Low-Progress Students in Singapore: Leveraging Variation Theory in Mathematics Education](https://merga.net.au/merga-publications/enhancing-problem-solving-skills-among-low-progress-students-in-singapore-leveraging-variation-theory-in-mathematics-education/) - [Building Parental Capital in Supporting Early Literacy and Numeracy learning](https://merga.net.au/merga-publications/building-parental-capital-in-supporting-early-literacy-and-numeracy-learning/) - [Teacher Professional Learning: The interplay of External Stimuli, Social Dynamics and Institutional Dimensions](https://merga.net.au/merga-publications/teacher-professional-learning-the-interplay-of-external-stimuli-social-dynamics-and-institutional-dimensions/) - [On the Necessity of Multimodal Semiotic Approaches for the Analysis of Young Children’s Mathematical Drawings](https://merga.net.au/merga-publications/on-the-necessity-of-multimodal-semiotic-approaches-for-the-analysis-of-young-childrens-mathematical-drawings/) - [Uncovering the Complexities of Mathematical Problem-Solving Instruction: An In-depth Analysis of a Mathematical Problem-Solving Lesson for Low-Progress Primary School Students](https://merga.net.au/merga-publications/uncovering-the-complexities-of-mathematical-problem-solving-instruction-an-in-depth-analysis-of-a-mathematical-problem-solving-lesson-for-low-progress-primary-school-students/) - [We all know Fun Maths—But Where is the Theoretical Foundation?](https://merga.net.au/merga-publications/we-all-know-fun-maths-but-where-is-the-theoretical-foundation/) - [Using a Visual Representation Framework with Pre-Service Teachers to Analyse Place Value Representations](https://merga.net.au/merga-publications/using-a-visual-representation-framework-with-pre-service-teachers-to-analyse-place-value-representations/) - [Supporting EAL/D Learners in Mathematics](https://merga.net.au/merga-publications/supporting-eal-d-learners-in-mathematics/) - [Scaffolding Structured Inquiry Learning Through ‘Spotlighting’](https://merga.net.au/merga-publications/scaffolding-structured-inquiry-learning-through-spotlighting/) - [Researching Australian Teachers' Conceptualisation of Angle](https://merga.net.au/merga-publications/researching-australian-teachers-conceptualisation-of-angle/) - [Enrolment Trends in Queensland Senior Advanced Mathematics: Comparisons for Socio-Economic Advantage and Regions](https://merga.net.au/merga-publications/enrolment-trends-in-queensland-senior-advanced-mathematics-comparisons-for-socio-economic-advantage-and-regions/) - [What Would Make Mathematics More Interesting?: Junior Secondary Student Perspectives](https://merga.net.au/merga-publications/what-would-make-mathematics-more-interesting-junior-secondary-student-perspectives/) - [If Not With Fennema in the 1970s, Then When?](https://merga.net.au/merga-publications/if-not-with-fennema-in-the-1970s-then-when/) - [Reflective Encounters Between Primary Pre-service Teachers and a Mathematics Teacher Educator to Explore Critical Mathematics Teaching Approaches](https://merga.net.au/merga-publications/reflective-encounters-between-primary-pre-service-teachers-and-a-mathematics-teacher-educator-to-explore-critical-mathematics-teaching-approaches/) - [Arresting the Decline in Secondary School Mathematics Enrolments](https://merga.net.au/merga-publications/arresting-the-decline-in-secondary-school-mathematics-enrolments/) - [Exploring the Culture of Out-of-Field Professional Education for Mathematics Teachers](https://merga.net.au/merga-publications/exploring-the-culture-of-out-of-field-professional-education-for-mathematics-teachers/) - [University Lecturers in Early Childhood Mathematics Education: Who are they? What are their professional needs?](https://merga.net.au/merga-publications/university-lecturers-in-early-childhood-mathematics-education-who-are-they-what-are-their-professional-needs/) - [Supporting Out-of-Field Secondary Mathematics Teaching in NSW: A Multifaceted Project Design](https://merga.net.au/merga-publications/supporting-out-of-field-secondary-mathematics-teaching-in-nsw-a-multifaceted-project-design/) - [World-Centred Mathematics Education: Theorising with Biesta](https://merga.net.au/merga-publications/world-centred-mathematics-education-theorising-with-biesta/) - [Writing Like a Reviewer](https://merga.net.au/merga-publications/writing-like-a-reviewer/) - [Threshold Concepts in Primary Mathematics](https://merga.net.au/merga-publications/threshold-concepts-in-primary-mathematics/) - [Effective Pedagog(ies) in Mathematics: The Current State of Mathematics Education Practice and Research](https://merga.net.au/merga-publications/effective-pedagogies-in-mathematics-the-current-state-of-mathematics-education-practice-and-research/) - [Pre-Service Teachers’ Use of Jump Strategy on The Empty Number Line When Recording Micro-Teaching Videos](https://merga.net.au/merga-publications/pre-service-teachers-use-of-jump-strategy-on-the-empty-number-line-when-recording-micro-teaching-videos/) - [Pre-service Primary School Teachers’ Understanding of the Meaning of ‘Capacity’ in the Australian Curriculum: Mathematics](https://merga.net.au/merga-publications/pre-service-primary-school-teachers-understanding-of-the-meaning-of-capacity-in-the-australian-curriculum-mathematics/) - [Student Problem-Posing During Open Mathematical Inquiry](https://merga.net.au/merga-publications/student-problem-posing-during-open-mathematical-inquiry/) - [Preservice Primary Teacher Pedagogical Content Knowledge of Fractions Using the Refined Consensus Model](https://merga.net.au/merga-publications/preservice-primary-teacher-pedagogical-content-knowledge-of-fractions-using-the-refined-consensus-model/) - [Implementing Dialogic Pedagogies in Early Years Mathematics Teaching](https://merga.net.au/merga-publications/implementing-dialogic-pedagogies-in-early-years-mathematics-teaching/) - [An Aesthetic Approach to Teaching Mathematics: A Proposed Framework Using Children’s Picture Books](https://merga.net.au/merga-publications/an-aesthetic-approach-to-teaching-mathematics-a-proposed-framework-using-childrens-picture-books/) - [Pre-Service Teachers’ Struggles with Core Numeracy Concepts](https://merga.net.au/merga-publications/pre-service-teachers-struggles-with-core-numeracy-concepts/) - [Mathematical Modelling for a Class Party: Challenges for Students in one Year 4 Classroom](https://merga.net.au/merga-publications/mathematical-modelling-for-a-class-party-challenges-for-students-in-one-year-4-classroom/) - [Roles of Mathematical and Statistical Models in Data-Driven Predictions in an Integrated STEM Context](https://merga.net.au/merga-publications/roles-of-mathematical-and-statistical-models-in-data-driven-predictions-in-an-integrated-stem-context/) - [Flourishing Mathematics Teachers: The Effect of School-Based Placements on Preservice Secondary Mathematics Teachers Anticipated Job Enjoyment](https://merga.net.au/merga-publications/flourishing-mathematics-teachers-the-effect-of-school-based-placements-on-preservice-secondary-mathematics-teachers-anticipated-job-enjoyment/) - [Catching the Translanguaging Wave: Considerations for Young Multilingual Learners' Mathematical Meaning-making](https://merga.net.au/merga-publications/catching-the-translanguaging-wave-considerations-for-young-multilingual-learners-mathematical-meaning-making/) - [Do Primary School Teachers Prefer Digital or Non-Digital Games to Support Mathematics Instruction?](https://merga.net.au/merga-publications/do-primary-school-teachers-prefer-digital-or-non-digital-games-to-support-mathematics-instruction/) - [Beliefs about the Active, Bodily Experience Mathematics Learning Activities: An Explorative Teacher Survey in Australia](https://merga.net.au/merga-publications/beliefs-about-the-active-bodily-experience-mathematics-learning-activities-an-explorative-teacher-survey-in-australia/) - [Comprehending and Applying the First Isomorphism Theorem](https://merga.net.au/merga-publications/comprehending-and-applying-the-first-isomorphism-theorem/) - [Relationship Between Pre-Service Teachers’ Early Mathematics Experiences and Their Current Self-Perception on Mathematics](https://merga.net.au/merga-publications/relationship-between-pre-service-teachers-early-mathematics-experiences-and-their-current-self-perception-on-mathematics/) - [Promoting Mathematical Reasoning in the Early Years Through Dialogic Talk](https://merga.net.au/merga-publications/promoting-mathematical-reasoning-in-the-early-years-through-dialogic-talk/) - [Riding the Wave of COVID-19: The afterMATH](https://merga.net.au/merga-publications/riding-the-wave-of-covid-19-the-aftermath/) - [Australian Junior Secondary Students’ Approaches to Solving Ratio Problems Prior to Formal Instruction and Their Misconceptions](https://merga.net.au/merga-publications/australian-junior-secondary-students-approaches-to-solving-ratio-problems-prior-to-formal-instruction-and-their-misconceptions/) - [Classroom Expectations: Listen to the Maths](https://merga.net.au/merga-publications/classroom-expectations-listen-to-the-maths/) - [Mathematics Teachers’ Beliefs and Pedagogical Approaches Regarding Creativity within a Novel STEM Creativity Framework](https://merga.net.au/merga-publications/mathematics-teachers-beliefs-and-pedagogical-approaches-regarding-creativity-within-a-novel-stem-creativity-framework/) - [An Analysis of Multiplicative Thinking Development in Years 3 to 6](https://merga.net.au/merga-publications/an-analysis-of-multiplicative-thinking-development-in-years-3-to-6/) - [Beyond Qualifications: Identity of Out-of-Field Teachers in Years 7-10 Mathematics in South Australia](https://merga.net.au/merga-publications/beyond-qualifications-identity-of-out-of-field-teachers-in-years-7-10-mathematics-in-south-australia/) - [Learning Mathematics Through Sequences of Connected, Cumulative, and Challenging Tasks: A Self-Determination Theory Perspective](https://merga.net.au/merga-publications/learning-mathematics-through-sequences-of-connected-cumulative-and-challenging-tasks-a-self-determination-theory-perspective/) - [Engaging Multilingual Students in Frequent and Supported Opportunities for Discourse to Strengthen Their Mathematical Thinking](https://merga.net.au/merga-publications/engaging-multilingual-students-in-frequent-and-supported-opportunities-for-discourse-to-strengthen-their-mathematical-thinking/) - [Turn Left, Turn Right: An Embodied Perspective on Children’s Difficulties with Left/Right Spatial Orientations](https://merga.net.au/merga-publications/turn-left-turn-right-an-embodied-perspective-on-childrens-difficulties-with-left-right-spatial-orientations/) - [Teacher Expectations of Student Strategies for Algebra Problems](https://merga.net.au/merga-publications/teacher-expectations-of-student-strategies-for-algebra-problems/) - [Using the McNamara Fallacy to Critique (Mis)representations of “Success” in Mathematics Education](https://merga.net.au/merga-publications/using-the-mcnamara-fallacy-to-critique-misrepresentations-of-success-in-mathematics-education/) - [Conveyance Technology in Supporting the Teaching and Learning of Mathematics through Student Reasoning and Problem Solving](https://merga.net.au/merga-publications/conveyance-technology-in-supporting-the-teaching-and-learning-of-mathematics-through-student-reasoning-and-problem-solving/) - [Developing Complex Unfamiliar Mathematics Questions: A Perspective](https://merga.net.au/merga-publications/developing-complex-unfamiliar-mathematics-questions-a-perspective/) - [Delving Deeply into Interviews with Timeline Tools](https://merga.net.au/merga-publications/delving-deeply-into-interviews-with-timeline-tools/) - [Teaching the Unexpected Mathematics: How Digital Technologies Unlocked Incidental Primary Mathematics Concepts](https://merga.net.au/merga-publications/teaching-the-unexpected-mathematics-how-digital-technologies-unlocked-incidental-primary-mathematics-concepts/) - [Social Mathematical Practices in Multi-Digit Multiplication](https://merga.net.au/merga-publications/social-mathematical-practices-in-multi-digit-multiplication/) - [Mathematics Lecturer’s Adaption to Online Teaching in Response to COVID-19](https://merga.net.au/merga-publications/mathematics-lecturers-adaption-to-online-teaching-in-response-to-covid-19/) - [Numeracy Across the Australian Curriculum: Opportunities from F to 6](https://merga.net.au/merga-publications/numeracy-across-the-australian-curriculum-opportunities-from-f-to-6/) - [Potential Fraction Concept Images Afforded in Textbooks: A Comparison of Northern Ireland and Singapore](https://merga.net.au/merga-publications/potential-fraction-concept-images-afforded-in-textbooks-a-comparison-of-northern-ireland-and-singapore/) - [Out-of-School PSLE Mathematics Practice Books in Singapore](https://merga.net.au/merga-publications/out-of-school-psle-mathematics-practice-books-in-singapore/) - [Primary Students' Responses to a Cognitive Activation Lesson](https://merga.net.au/merga-publications/primary-students-responses-to-a-cognitive-activation-lesson/) - [Understanding of The Equal Sign: A Case of Chinese Grade 5 Students](https://merga.net.au/merga-publications/understanding-of-the-equal-sign-a-case-of-chinese-grade-5-students/) - [Scripted Identities of the Mathematics Learner: Blurring Fiction and Fact in the Presentation of Research Data](https://merga.net.au/merga-publications/scripted-identities-of-the-mathematics-learner-blurring-fiction-and-fact-in-the-presentation-of-research-data/) - [Examining Students’ Mathematical Thinking: The Case of Porridge Words](https://merga.net.au/merga-publications/examining-students-mathematical-thinking-the-case-of-porridge-words/) - [How Children Who Speak Marathi Respond to the Introduction of Uncertain Language while Involved in a Statistical Investigation](https://merga.net.au/merga-publications/how-children-who-speak-marathi-respond-to-the-introduction-of-uncertain-language-while-involved-in-a-statistical-investigation/) - [Changes in Year 11 Mathematics Students’ Choices About the use of a Computer Algebra System (CAS) to Solve Routine Problems](https://merga.net.au/merga-publications/changes-in-year-11-mathematics-students-choices-about-the-use-of-a-computer-algebra-system-cas-to-solve-routine-problems/) - [Mathematics Written Feedback for Pre-Service Teachers during Professional Experience](https://merga.net.au/merga-publications/mathematics-written-feedback-for-pre-service-teachers-during-professional-experience/) - [Factors that Influence Primary Preservice Teachers’ Self-Efficacy While Teaching Mathematics During Professional Practice](https://merga.net.au/merga-publications/factors-that-influence-primary-preservice-teachers-self-efficacy-while-teaching-mathematics-during-professional-practice/) - [Incorporating Data Visualisation into Teaching and Learning](https://merga.net.au/merga-publications/incorporating-data-visualisation-into-teaching-and-learning/) - [Secondary In-Service Mathematics Teachers’ Self-Reported Teaching Practices and their Views on Using Games in Teaching](https://merga.net.au/merga-publications/secondary-in-service-mathematics-teachers-self-reported-teaching-practices-and-their-views-on-using-games-in-teaching/) - [Mathematics Leaders as Agents of Project Sustainability](https://merga.net.au/merga-publications/mathematics-leaders-as-agents-of-project-sustainability/) - [Reducing Mathematics and Examination Anxiety using the Five Question Approach](https://merga.net.au/merga-publications/reducing-mathematics-and-examination-anxiety-using-the-five-question-approach/) - [Harnessing the Expertise of Mathematics Intervention Teachers to Support Primary Teachers Through Co-Teaching Cycles](https://merga.net.au/merga-publications/harnessing-the-expertise-of-mathematics-intervention-teachers-to-support-primary-teachers-through-co-teaching-cycles/) - [Can a Short Online Test Diagnose Student Thinking?](https://merga.net.au/merga-publications/can-a-short-online-test-diagnose-student-thinking/) - [Exploring Beliefs and Practices Towards Teaching Probability Using Games: A Case Study of one Fijian Secondary Mathematics Teacher](https://merga.net.au/merga-publications/exploring-beliefs-and-practices-towards-teaching-probability-using-games-a-case-study-of-one-fijian-secondary-mathematics-teacher/) - [Student Engagement with Dynamic Digital Representations of Decimal Fractions to Prompt Conceptual Change](https://merga.net.au/merga-publications/student-engagement-with-dynamic-digital-representations-of-decimal-fractions-to-prompt-conceptual-change/) - [Secondary Mathematics Teachers’ Mathematical Competence](https://merga.net.au/merga-publications/secondary-mathematics-teachers-mathematical-competence/) - [Development of Items to Assess Big Ideas of Equivalence and Proportionality](https://merga.net.au/merga-publications/development-of-items-to-assess-big-ideas-of-equivalence-and-proportionality/) - [A School Mathematics Leader’s Account of her Leadership](https://merga.net.au/merga-publications/a-school-mathematics-leaders-account-of-her-leadership/) - [Learning to Share Fairly: The Importance of Spatial Reasoning in Early Partitioning Experiences](https://merga.net.au/merga-publications/learning-to-share-fairly-the-importance-of-spatial-reasoning-in-early-partitioning-experiences/) - [What Kind of Mathematics Teacher is ChatGPT? Identifying the Pedagogical Practices Preferenced by Generative AI Tools when Preparing Lesson Plans](https://merga.net.au/merga-publications/what-kind-of-mathematics-teacher-is-chatgpt-identifying-the-pedagogical-practices-preferenced-by-generative-ai-tools-when-preparing-lesson-plans/) - [Defining the Problem in a Changing Landscape: How Leaders Plan for and Address Mathematics Curriculum Change](https://merga.net.au/merga-publications/defining-the-problem-in-a-changing-landscape-how-leaders-plan-for-and-address-mathematics-curriculum-change/) - [Raising Students' Awareness and Actions through a Sustainability Project](https://merga.net.au/merga-publications/raising-students-awareness-and-actions-through-a-sustainability-project/) - [The Assessment of Mathematical Proficiency in Written Exams: A Perspective from New South Wales (NSW)](https://merga.net.au/merga-publications/the-assessment-of-mathematical-proficiency-in-written-exams-a-perspective-from-new-south-wales-nsw/) - [A Deep Dive into Mathematics Education Research In Search of Significance](https://merga.net.au/merga-publications/a-deep-dive-into-mathematics-education-research-in-search-of-significance/) - [Interventions and Development of Mathematics Education in Primary Schools](https://merga.net.au/merga-publications/interventions-and-development-of-mathematics-education-in-primary-schools/) - [Towards Embodied Validity in Mathematics Education Research](https://merga.net.au/merga-publications/towards-embodied-validity-in-mathematics-education-research/) - [Expanding MERGA's Position Statement on Effective Mathematics Teaching](https://merga.net.au/merga-publications/expanding-mergas-position-statement-on-effective-mathematics-teaching/) - In February 2025, MERGA published the Position Statement on Effective Mathematics Teaching, affirming that effective mathematics teaching requires multiple pedagogical strategies, used in response to student needs, local contexts, and learning goals. This Round Table will engage in critical dialogue about the future research directions emerging from this position statement and the development of a - [Compare and Discuss to Deepen Algebra Learning](https://merga.net.au/merga-publications/compare-and-discuss-to-deepen-algebra-learning/) - Student learning of mathematics, and attitudes toward mathematics, can be improved through the use of Comparison and Discussion. The focus of this workshop is on the use of the compare and discuss multiple strategies instructional routine (Rittle-Johnson & Star, 2007, 2009; Rittle-Johnson, Star, & Durkin, 2009, 2012; Star & Rittle-Johnson, 2009). The research underpinning this workshop is situated within - [Generative AI Usage Among Mathematics Teachers: A Demographic Analysis](https://merga.net.au/merga-publications/generative-ai-usage-among-mathematics-teachers-a-demographic-analysis/) - Generative AI (GenAI) is reshaping mathematics education through capabilities such as automated feedback, personalised tutoring, and instructional scaffolding (Memarian & Doleck, 2023; Yoon et al., 2024). Freely accessible tools like ChatGPT present new opportunities to enhance student learning and teacher development by fostering reflective thinking, problem-posing, and pedagogical content knowledge (Biton & Segal, 2025; Gurl - [Mathematical Cognition and Learning](https://merga.net.au/merga-publications/mathematical-cognition-and-learning/) - There is a lot of rich mathematical cognition and learning research occurring in Australia and New Zealand. The aim of this roundtable is to bring this research together in an effort to develop community and formal infrastructure to raise the impact of this work. The roundtable will explore current mathematical cognition and learning themes in - [Taught by Experts: Relying on the Discipline to Counter a New Wave of Problematic Evidence](https://merga.net.au/merga-publications/taught-by-experts-relying-on-the-discipline-to-counter-a-new-wave-of-problematic-evidence/) - The singer-songwriter Paul Kelly (1992) has a song titled Taught By Experts in which the narrator laments the cynical nature of learned behaviour. He rarely sings the song’s last stanza, in which he changes one word of each line of the chorus of Bob Dylan’s Like a Rolling Stone. Dylan famously borrowed phrases from folk - [Experiences with Publishing in High Quality Journals](https://merga.net.au/merga-publications/experiences-with-publishing-in-high-quality-journals/) - This is a forum to provide participants with an overview of select issues related to the business of getting one's own work published and others' well reviewed. There is little doubt that writing with the intention of publishing is one of the core practices in our field. As a result, concerted attention is devoted to - [Students as Subjects of Their Mathematical Activity: Revisiting Biesta](https://merga.net.au/merga-publications/students-as-subjects-of-their-mathematical-activity-revisiting-biesta/) - We follow up on our 2024 round table in which we opened a conversation on theorising mathematics education with Gert Biesta, specifically through the ideas included in his 2022 book World-Centred Education. Many MERGA community members strive for mathematics education in schools, where specific ways of doing, communicating, and looking at the world—rather than merely - [Spatial Visualisation Difficulties in Area of Composite Figures with Quarter-Circles](https://merga.net.au/merga-publications/spatial-visualisation-difficulties-in-area-of-composite-figures-with-quarter-circles/) - Students face difficulties solving area of composite figures when the region which they are required to work out could not be solved by simply using the formula. Researchers such as Spiegel and Ginat (2017) attribute this difficulty to students’ unfamiliarity with the diversity of composite shape configurations. As put together in a study by Harris, - [Investigating the Experiences of Early Years Teachers in Teaching Mental Mathematics](https://merga.net.au/merga-publications/investigating-the-experiences-of-early-years-teachers-in-teaching-mental-mathematics/) - Mental mathematics promotes flexible calculation strategies, but the shift from basic methods to formal algorithms reveals gaps in teachers' PCK, particularly in supporting diverse strategies (Venkat, 2024). Addressing these gaps is crucial for improving learners' mathematical reasoning and skills. This study explores teachers' understanding of mental mathematics and how it supports learners' abilities. Specifically, it - [Data-based differentiation: How data informed teachers’ beliefs and practices](https://merga.net.au/merga-publications/data-based-differentiation-how-data-informed-teachers-beliefs-and-practices/) - Differentiation encompasses a range of practices aimed to ensure that learning is accessible and meaningful for all students. While teachers value opportunities for all students to engage in cognitively demanding tasks, they encounter barriers in providing these opportunities equitably (Russo et al., 2021). Using assessment data narrowly can contribute to teachers’ fixed view of students' - [Bringing together mathematical education research and cognitive science to examine how secondary students interpret modern, big-data visualisations.](https://merga.net.au/merga-publications/bringing-together-mathematical-education-research-and-cognitive-science-to-examine-how-secondary-students-interpret-modern-big-data-visualisations/) - Big-data visualisations are increasingly prevalent in scientific research, media, and industry. Unlike traditional graphs and charts, big-data visualisations often present large, complex, and dynamic datasets using multidimensional representations, colour gradients, and interactive features. Developing students' ability to navigate and interpret these representations is critical for fostering data literacy and informed decision-making. However, how secondary students - [Issues in Solving Tasks Involving the Area of Composite Figures](https://merga.net.au/merga-publications/issues-in-solving-tasks-involving-the-area-of-composite-figures/) - Mastering composite figure problems is essential in Singapore’s primary school curriculum, forming the foundation for geometry and real-life problem-solving. This study examines the types of misconceptions students may have in the topic of composite figure using error analysis. Undergraduates (n = 15) from non-Mathematics courses were tasked to solve some questions and explain their thought - [What Matters When: Establishing a Value Proposition for Mathematics.](https://merga.net.au/merga-publications/what-matters-when-establishing-a-value-proposition-for-mathematics/) - The pursuit of effective mathematics education is perpetually challenged by the tension between aspirational learning goals and the limitations of finite resources. This is particularly evident when a new curriculum introduces fresh demands on teachers, who must navigate these changes within existing resource constraints. Crucially, this balancing act shapes the mathematics curriculum identity of the - [Teaching Numeracy with Intention](https://merga.net.au/merga-publications/teaching-numeracy-with-intention/) - Numeracy is a key educational priority, yet its integration across subjects remains inconsistent due to limited clarity, resources, and support. While teachers value numeracy and incorporate it where possible, factors such as school priorities, pedagogical support, and curriculum flexibility influence its implementation. Drawing from a broader study, this paper examines what enables teachers—especially those outside - [Conventional practices of mathematics vs. deliberate practice](https://merga.net.au/merga-publications/conventional-practices-of-mathematics-vs-deliberate-practice/) - Conventional models of mathematics practice in schools involve the rigid application of a procedure that had been previously learnt to solve similar questions (Lehtinen et al., 2017). Questions are usually drawn from sources such as textbooks and students are considered to have to follow and memorise the procedure previously demonstrated by the teacher (Nachlieli & - [Mathematics Leadership During Educational Reform: Navigating Pedagogical Tensions with MERGA Support](https://merga.net.au/merga-publications/mathematics-leadership-during-educational-reform-navigating-pedagogical-tensions-with-merga-support/) - Recent educational reforms across Australia have intensified a focus on explicit teaching before problem solving or reasoning in mathematics classrooms. This shift presents significant challenges for primary school mathematics leaders positioned at the intersection of policy implementation, research translation and classroom practice. This round table explores the tensions these middle leaders face as they navigate - [The role of repeating, growing and spatial patterns in early mathematics learning](https://merga.net.au/merga-publications/the-role-of-repeating-growing-and-spatial-patterns-in-early-mathematics-learning/) - Studies on mathematical patterning have found that young children from the pre-school through to early primary school can create, extend, represent and generalise pattern structure for repeating, growing and spatial patterns (e.g., Larkin et al., 2024; Lu?ken & Sauzet, 2020; Wijns et al., 2021). Patterning is also related to the development of spatial skills - [Young children’s identification of functional relationships in repeating patterns](https://merga.net.au/merga-publications/young-childrens-identification-of-functional-relationships-in-repeating-patterns/) - The benefits of supporting young children to engage in early algebra are well established within the research literature (Blanton et al., 2015; Kieran, 2022). Patterning is a recognized pathway into functional thinking and often a focus of curriculum in the first years of formal schooling. However, studies (e.g., Rittle-Johnson et al., 2015) have found that - [The Re-Silencing of Girls in School Mathematics: Gendered Intimidation and Its Impact on Participation](https://merga.net.au/merga-publications/the-re-silencing-of-girls-in-school-mathematics-gendered-intimidation-and-its-impact-on-participation/) - Recent media attention has highlighted a troubling rise in misogyny and sexist behaviour in schools, raising concerns about their impact on girls’ experiences. Despite significant progress through initiatives such as the Girls in STEM Toolkit (Education Services Australia, 2024) and the STEM Equity Monitor (Department of Industry, Science and Resources, 2024), the rise of classroom - [Gender Equity in Mathematics Education in Australia: Renewing the Dialogue](https://merga.net.au/merga-publications/gender-equity-in-mathematics-education-in-australia-renewing-the-dialogue/) - The status of gender equity in mathematics education in Australia has re-emerged as a critical concern, particularly in light of the 2023 Trends in International Mathematics and Science Study (TIMSS) results. This cycle marked the transition to a fully digital assessment (Australian Council for Educational Research, 2024). Alarmingly, Australian boys significantly outperformed girls in mathematics - [Understanding How Pre-Service Teachers Respond to Students’ Mathematical Errors and Why](https://merga.net.au/merga-publications/understanding-how-pre-service-teachers-respond-to-students-mathematical-errors-and-why/) - When developing mathematical understanding, learners’ interactions with mathematical errors can promote conceptual understanding and enhanced reasoning skills (Borasi, 1994). Studies have found that learners’ level of engagement with their own mathematical errors is heavily influenced by their views of mathematical error-making (Tulis et al., 2018), and that teacher handling of student errors can positively predict - [Justifying Fraction Ordering: Language in Student Reasoning](https://merga.net.au/merga-publications/justifying-fraction-ordering-language-in-student-reasoning/) - Language is emphasised in students' performance with factions. We seek to examine how students use both mathematical and everyday language when working with fractions and explore how these linguistic resources are interconnected with their reasoning processes. We designed a written task on fraction magnitude comparisons for students aged 11-12 years. The task required students to - [From Silos to Synergy: Exploring Inquiry in Mathematics, Science, and Geography to Unlock Interdisciplinary STEAM](https://merga.net.au/merga-publications/from-silos-to-synergy-exploring-inquiry-in-mathematics-science-and-geography-to-unlock-interdisciplinary-steam/) - In an increasingly interconnected world, STEAM education offers a powerful framework for equipping students with the skills to navigate complexity and change. Our research investigates the pedagogical intersections and distinctions among mathematics, science, and geography, focusing on inquiry-based learning. While each discipline brings distinct epistemologies and methodologies, they are also committed to fostering critical thinking, - [Leveraging Near-Peer Teaching: Supporting Secondary Mathematics Preservice Teachers’ Pedagogical Development](https://merga.net.au/merga-publications/leveraging-near-peer-teaching-supporting-secondary-mathematics-preservice-teachers-pedagogical-development/) - Professional experience during initial teacher education (ITE) influences the pedagogical approach of beginning secondary mathematics teachers but often restricts them to a limited set of teaching methods. This study investigates the impact of a co-curricular program on the pedagogical development of Secondary Mathematics Education preservice teachers (Secondary PSTs). In the program, Secondary PSTs taught foundational - [Illustrations of mathematics instructional coaches’ routine and adaptive expertise for in-service teacher professional development](https://merga.net.au/merga-publications/illustrations-of-mathematics-instructional-coaches-routine-and-adaptive-expertise-for-in-service-teacher-professional-development/) - Instructional coaching has become a common practice internationally as a form of high-quality professional development for teachers (Desimone & Pak, 2017). Beyond the literature on mentoring and inducting pre-service and beginning mathematics teachers, instructional coaching for in-service teachers has been shown to be a valuable vehicle for diffusing innovative teaching practices and instructional reform (Hopkins - [Embedding the Computational Thinking Process in Mathematics](https://merga.net.au/merga-publications/embedding-the-computational-thinking-process-in-mathematics/) - Computational thinking in the last decade has become a key component of mathematics curricula, and assessment frameworks across the globe. Although considered a relatively new area of research, early studies internationally have linked computational thinking to the mathematical modelling process, supporting productive dispositions, extending mathematical exploration and providing a means for deepening students understanding of - [An Investigation of Secondary Mathematics Teachers’ Implementation of Challenging Tasks](https://merga.net.au/merga-publications/an-investigation-of-secondary-mathematics-teachers-implementation-of-challenging-tasks/) - Although mathematics education has traditionally entailed a passive acquisition of knowledge (Bird, 2023), this approach no longer meets the needs and demands of an “increasingly volatile, uncertain, complex and ambiguous” world (OECD, 2018, p. 3). Over the last few decades, mathematics education has responded to these changes through reforms in mathematics curricula to emphasise 21st - [Assessment for Learning in maths: expert teacher reflexivity for peer feedback](https://merga.net.au/merga-publications/assessment-for-learning-in-maths-expert-teacher-reflexivity-for-peer-feedback/) - Assessment for Learning (AfL) is one of the most powerful approaches for supporting student learning, however, adoption remains a challenge (Marshall & Drummond, 2006). Broad pedagogical elements have been described, but effective AfL relies on teachers’ deep knowledge, noticing and decision-making skills which can be difficult to identify and implement (Black & Wiliam, 1998; Heitink et - [Mathematics anxiety and mathematics metaphors: Examining pre-service teachers' perceptions of mathematics](https://merga.net.au/merga-publications/mathematics-anxiety-and-mathematics-metaphors-examining-pre-service-teachers-perceptions-of-mathematics/) - Mathematics anxiety (MA) is the feeling of tension and anxiety towards mathematics that can interfere with a person’s ability to perform a mathematical task. It occurs in all age groups and is common among primary pre-service teachers (PST’s; Swars et al., 2006; Wilson, 2015). In this study, 72 PSTs across early childhood, primary and secondary - [Strategies that Promote Inclusive Mathematics Education](https://merga.net.au/merga-publications/strategies-that-promote-inclusive-mathematics-education/) - In this symposium, we continue the discussion on attending to student diversity in mathematics education (Quane et al., 2024) by exploring strategies that promote inclusive mathematics education. In doing so, we continue to acknowledge that classrooms comprise of diverse student populations (Quane et al., 2024) with Australian classrooms experiencing higher proportions of diversity than the - [Transfer from spatial training to mathematics achievement: A qualitative approach to exploring mechanism.](https://merga.net.au/merga-publications/transfer-from-spatial-training-to-mathematics-achievement-a-qualitative-approach-to-exploring-mechanism/) - Many studies have demonstrated that spatial reasoning is malleable and that improvements in spatial reasoning transfer to mathematics (Hawes et al., 2022). A recent review of the spatial training literature (Resnick & Adams, 2024) found that most studies use cognitive frameworks to explain their findings, suggesting that transfer is achieved through improvements in directly applicable - [Development of an operational and reliable tool to measure student mathematical resilience](https://merga.net.au/merga-publications/development-of-an-operational-and-reliable-tool-to-measure-student-mathematical-resilience/) - The overarching research question in my doctoral research study is: In what ways can new insights into student mathematical resilience inform an operational and reliable tool to measure middle year students’ mathematical resilience and can this be used to inform teacher practice? In this short communication, I will: * share key findings from my literature - [Primary Teachers’ Self-Efficacy and Outcome Expectancy in STEM Education](https://merga.net.au/merga-publications/primary-teachers-self-efficacy-and-outcome-expectancy-in-stem-education/) - Effective STEM teaching relies on teachers' self-efficacy, impacting teaching approaches (Bandura, 1977). Despite the importance of enhancing teachers' confidence, a research gap exists in understanding teachers' perceptions across Australia. Previous research established a positive correlation between teacher confidence and instructional performance (Nadelson et al., 2012; Margot & Kettler, 2019). This study examined 87 primary teachers - [Promoting a Mathematical Modelling Culture in a Queensland School](https://merga.net.au/merga-publications/promoting-a-mathematical-modelling-culture-in-a-queensland-school/) - We interview students, a teacher and a leadership staff member at a Queensland school consistently successful in an international team modelling challenge. The study highlighted the role played by team composition, team cohesion, prioritised planning, and thorough execution. The school supported a mathematical modelling culture at secondary level by building on the open-ended nature of - [I've Got the Map - Let Me Tell You Where To Go](https://merga.net.au/merga-publications/ive-got-the-map-let-me-tell-you-where-to-go/) - Navigation is a sophisticated task requiring high level fluency with spatial thinking. Viewing the landscape from an allocentric perspective adds complexity to this task. A group of 29 Grade 3 (8-9 year old) students who were required to adopt an allocentric perspective to direct a partner through a simple maze. All students used a variety - [A model of Professional Learning for Teachers of Mathematics in Remote and Rural schools](https://merga.net.au/merga-publications/a-model-of-professional-learning-for-teachers-of-mathematics-in-remote-and-rural-schools/) - Professional Learning for teachers in Remote and Rural schools has been identified as both critical and problematic. Critical because professional learning is an important way for teachers to continuously improve their knowledge and pedagogy of mathematics. Problematic because as the title implies these teachers are often unable to access the professional learning offered to teachers - [Future Directions: Feedback and Reflection Cycles with Pre-Service Teachers to Enhance the Planning of Rich Mathematics Learning Experiences](https://merga.net.au/merga-publications/future-directions-feedback-and-reflection-cycles-with-pre-service-teachers-to-enhance-the-planning-of-rich-mathematics-learning-experiences/) - Student success in teacher education requires providing rich learning opportunities, authentic assessments and strong relationships between experiences, assessment and feedback. Research shows that reflective practice is vital in teacher education as deep reflection is shown to improve professional practice and transform practice (AITSL, 2013). Our study developing feedback and reflection cycles, now in its 5th year, - [Harnessing opportunities to explore early statistical literacy in initial teacher education: Teaching statistics using zoo animals and loose parts media with pre-service teachers](https://merga.net.au/merga-publications/harnessing-opportunities-to-explore-early-statistical-literacy-in-initial-teacher-education-teaching-statistics-using-zoo-animals-and-loose-parts-media-with-pre-service-teachers/) - Statistical thinking begins when young children collect, sort, classify and make meaning from tangible objects in their immediate environment (MacDonald, 2018). Therefore, it is argued that a strong foundation for using and representing data (data handling) will lead to stronger reasoning and thinking skills in older children (Makar, 2016). In the early years of mathematics - [The Influence of Ability Grouping on Primary School Mathematics Teachers’ Beliefs and Practices and the Evidence of Nurturing Environments](https://merga.net.au/merga-publications/the-influence-of-ability-grouping-on-primary-school-mathematics-teachers-beliefs-and-practices-and-the-evidence-of-nurturing-environments/) - Despite evidence regarding the ineffectiveness of ability grouping practices in benefiting all students (Francis et al., 2017), grouping students by attainment level remains a persistent organisational approach in many primary school mathematics classrooms. This presentation will focus on a section of a comparative, multiple case study drawn from a larger doctoral research project that investigated - [Students' Algebraic Thinking as Reading of Expressions to Comprehend the Reality of the Phenomenon](https://merga.net.au/merga-publications/students-algebraic-thinking-as-reading-of-expressions-to-comprehend-the-reality-of-the-phenomenon/) - In this study, we focus on reading mathematical expressions and address the following research question: How do students observe and comprehend the characteristics of a mathematical object while reading mathematical expressions? To clarify the research question, we planned and conducted a design experiment. The lesson we designed dealt with a problem from “Jinkoki”, a Japanese - [Improving Students’ Learning Experience in Mathematics Through Engagement With steaM](https://merga.net.au/merga-publications/improving-students-learning-experience-in-mathematics-through-engagement-with-steam/) - Science, technology, engineering, and mathematics (STEM) education has been proposed as a potential solution to improve student engagement in school mathematics (Murphy et al., 2019). Research shows that utilising an enriched and diverse range of STEM contexts is an approach that can excite students, help them to relate content to real contexts, cultivate their curiosity - [Identifying Bishop’s mathematical activities in the AERO Mathematical thinking early childhood learning trajectory](https://merga.net.au/merga-publications/identifying-bishops-mathematical-activities-in-the-aero-mathematical-thinking-early-childhood-learning-trajectory/) - In mathematics education, learning trajectories have been provided from an early age to help educators identify and document children’s progressions in their mathematical understandings and thinking. This is different to identifying the mathematical thinking that may be evident in young, and very young, children, which focuses on determining the mathematics that the child may know - [Spatial Enrichment: An Enduring Model to Build Mathematics Achievement](https://merga.net.au/merga-publications/spatial-enrichment-an-enduring-model-to-build-mathematics-achievement/) - Spatial reasoning relates to the imagined movement and transformation of objects and their relations and is considered an integral part of mathematics. Recent literature has identified that mental rotation, perspective-taking, and fluid reasoning all contribute to student success in mathematics; however, these effects differ for girls and boys (Harris et al., 2025) and may have - [Mathematics learning for adults with Down syndrome: A matter of independence](https://merga.net.au/merga-publications/mathematics-learning-for-adults-with-down-syndrome-a-matter-of-independence/) - Experiencing a positive mathematics education at school is fundamental for individuals with Down syndrome as they prepare for life, post-school. Faragher and Gil Clemente (2019) express the idea that receiving a mathematics education is a right that “enables access to the cultural capital of a society” (p. 114). They propose therefore, that individuals with Down syndrome have - [Assessment to Support Learning in Mathematics](https://merga.net.au/merga-publications/assessment-to-support-learning-in-mathematics/) - The potential of the effective use of formative assessment strategies to improve student outcomes has been well established (Black et al., 2004; Black & Wiliam, 1998) along with the characteristics and principles of effective assessment to support learning (Group, 1999). By informing teachers and students about learning progress, assessment can be used to enable students - [Exploring Primary Teacher Education Students’ Self-perception of Readiness to Teach Mathematics](https://merga.net.au/merga-publications/exploring-primary-teacher-education-students-self-perception-of-readiness-to-teach-mathematics-2/) - The tertiary education of Teacher Education Students (TES) plays a vital role in preparing highly qualified educators, especially in terms of mathematics education. However, best practice in how to develop TES during their studies has been very under researched (Norton & Allen, 2020), with some research addressing only the secondary perspective (Hine & Thai, 2019). - [Key Features of the Mathematics Growth Team Program: Insights from an Academic Partnership](https://merga.net.au/merga-publications/key-features-of-the-mathematics-growth-team-program-insights-from-an-academic-partnership/) - In 2024, University of New South Wales, Sydney (UNSW) and New South Wales (NSW) Department of Education (DoE) collaborated to evaluate the Mathematics Growth Team (MGT) program, a multi-phase professional learning (PL) program funded by the NSW DoE. This research partnership determined the most impactful program features. Since 2020, the MGT program has aimed to - [How do people learn mathematics?](https://merga.net.au/merga-publications/how-do-people-learn-mathematics/) - Recently we made the claim that learning is about being “stirred into practices”, or learning “how to go on in practices in the world” and this sees learning as something that is happening all the time in particular sites in time and space (Kemmis, Edwards-Groves, & Grootenboer, 2025). This means that learning is coming to - [Teacher Content Knowledge for Teaching (Algebra)](https://merga.net.au/merga-publications/teacher-content-knowledge-for-teaching-algebra/) - This round table presents an operationalisation for examining teacher mathematics content knowledge that extends relevant prior work and offers a tool for future research on mathematics knowledge for teaching. The participants reflect upon ways in which using structured reflection forms, and an associated data analysis approach, may be useful in their own research. The round - [Analogies to the Concept of Function and Their Affordances](https://merga.net.au/merga-publications/analogies-to-the-concept-of-function-and-their-affordances/) - Analogies are often used by teachers in their instruction of the concept of function. The explanatory affordances of these analogies for student learning of the formal definition of function, however, are less known. In a planned research paper, we will present a self-generated ‘child-mum biological relationship’ analogy that has been found popular among a sample - [Supporting Primary Students' Mathematical Learning in English: The Role of Parents with a Second Language](https://merga.net.au/merga-publications/supporting-primary-students-mathematical-learning-in-english-the-role-of-parents-with-a-second-language/) - Parental involvement is a key factor in children’s mathematical success (Cai, 2003; Fan & Williams, 2010). However, second-language parents may face linguistic and cultural challenges when supporting their child’s mathematics learning. While mathematics is seen as a universal language (Adoniou, 2014), research indicates that mathematical discourse is deeply embedded in language and culture (Moschkovich, 2010). - [The Development of a Scale to Measure Motivations in Mathematics Enrolment](https://merga.net.au/merga-publications/the-development-of-a-scale-to-measure-motivations-in-mathematics-enrolment/) - Enrolment in higher-level mathematics in senior secondary school has been declining in Australia for several decades and continues to be at an all-time low (Australian Mathematical Sciences Institute, 2024). Although many studies have looked at factors that might be influencing this enrolment downtrend (Centre for Education Statistics and Evaluation, 2017), only a few studies have - [Comparing and Discussing Multiple Strategies to Promote Learning in Mathematics Classrooms](https://merga.net.au/merga-publications/comparing-and-discussing-multiple-strategies-to-promote-learning-in-mathematics-classrooms/) - [Unlocking Minds by Conceptually Focused, Student-Centred Explicit Mathematics Teaching and Quantitative Evidence for Effectiveness](https://merga.net.au/merga-publications/unlocking-minds-by-conceptually-focused-student-centred-explicit-mathematics-teaching-and-quantitative-evidence-for-effectiveness/) - [Unlocking Minds: Exploring the Pendulum of Mathematics Pedagogy](https://merga.net.au/merga-publications/unlocking-minds-exploring-the-pendulum-of-mathematics-pedagogy/) - [Secondary Mathematics Teachers’ Understandings of Reasonable Adjustments: Is it Inclusive Teaching?](https://merga.net.au/merga-publications/secondary-mathematics-teachers-understandings-of-reasonable-adjustments-is-it-inclusive-teaching/) - [An Analysis of Place Value Visual Representations in South African, Singaporean, and Australian Workbooks](https://merga.net.au/merga-publications/an-analysis-of-place-value-visual-representations-in-south-african-singaporean-and-australian-workbooks/) - [Top Number or Numerator? Teachers’ Choices of the Mathematics Register in Mathematics Teaching Talk](https://merga.net.au/merga-publications/top-number-or-numerator-teachers-choices-of-the-mathematics-register-in-mathematics-teaching-talk/) - [Exploring How Mathematics Teacher in Indonesia Perceive Culturally Responsive Pedagogy (CRP) in Mathematics](https://merga.net.au/merga-publications/exploring-how-mathematics-teacher-in-indonesia-perceive-culturally-responsive-pedagogy-crp-in-mathematics/) - [Using the Mathematics Assessment Interview and Growth Points to Identify Grade 1 Students Who Are Not Yet Thriving in Mathematics Midway Through the School Year](https://merga.net.au/merga-publications/using-the-mathematics-assessment-interview-and-growth-points-to-identify-grade-1-students-who-are-not-yet-thriving-in-mathematics-midway-through-the-school-year/) - [From Resistance to Reflection: The Interplay of Support, Reflection, and Practice Change](https://merga.net.au/merga-publications/from-resistance-to-reflection-the-interplay-of-support-reflection-and-practice-change/) - [Introducing Dialogic Pedagogy in Early Years Mathematics: Contrasting Authoritative and Persuasive Discourses](https://merga.net.au/merga-publications/introducing-dialogic-pedagogy-in-early-years-mathematics-contrasting-authoritative-and-persuasive-discourses/) - [How to Teach the Meaning of Limit Intuitively in Calculus: A Didactical Design Research](https://merga.net.au/merga-publications/how-to-teach-the-meaning-of-limit-intuitively-in-calculus-a-didactical-design-research/) - [One Teacher’s Unique Experience Teaching Online During the Covid-19 Pandemic](https://merga.net.au/merga-publications/one-teachers-unique-experience-teaching-online-during-the-covid-19-pandemic/) - [Context-Based Line Graph Comprehension: Do Teacher Education and Experience Make a Difference?](https://merga.net.au/merga-publications/context-based-line-graph-comprehension-do-teacher-education-and-experience-make-a-difference/) - [Exploring the Complexity of Students’ Inconsistent Relational Understanding of the Equal Sign.](https://merga.net.au/merga-publications/exploring-the-complexity-of-students-inconsistent-relational-understanding-of-the-equal-sign/) - [Argument-Based Mathematical Inquiry: Teacher Strategies for Supporting Young Students’ Collective Argumentation](https://merga.net.au/merga-publications/argument-based-mathematical-inquiry-teacher-strategies-for-supporting-young-students-collective-argumentation/) - [How Knowledgeable is ChatGPT 4o? Assessing the Pedagogical Content Knowledge of a Generative Artificial Intelligence Tool](https://merga.net.au/merga-publications/how-knowledgeable-is-chatgpt-4o-assessing-the-pedagogical-content-knowledge-of-a-generative-artificial-intelligence-tool/) - [Dynamic Learning Artefacts: A Methodological Approach for Analysing and Interpreting Student Thinking in Mathematics](https://merga.net.au/merga-publications/dynamic-learning-artefacts-a-methodological-approach-for-analysing-and-interpreting-student-thinking-in-mathematics/) - [Promoting Spatial–Mathematical Connectivity (SMC) through a 20-week Spatial Reasoning Design Study in Grade 4](https://merga.net.au/merga-publications/promoting-spatial-mathematical-connectivity-smc-through-a-20-week-spatial-reasoning-design-study-in-grade-4/) - [Conceptualising Primary School Mathematics Leadership as Poly-Motivated Activity](https://merga.net.au/merga-publications/conceptualising-primary-school-mathematics-leadership-as-poly-motivated-activity/) - [Teacher Professional Development in Remote Papua New Guinea](https://merga.net.au/merga-publications/teacher-professional-development-in-remote-papua-new-guinea/) - [Exploring the Integration of Data Visualisation Through SelfQuantification: Insights From School Education](https://merga.net.au/merga-publications/exploring-the-integration-of-data-visualisation-through-selfquantification-insights-from-school-education/) - [Understanding Changes in Teacher Dispositions Towards Mathematics Using an Epistemic Network Analysis](https://merga.net.au/merga-publications/understanding-changes-in-teacher-dispositions-towards-mathematics-using-an-epistemic-network-analysis/) - [Becoming a Mathematics Teacher: Tracing Teacher Identity Development Throughout an Initial Teacher Education Degree](https://merga.net.au/merga-publications/becoming-a-mathematics-teacher-tracing-teacher-identity-development-throughout-an-initial-teacher-education-degree/) - [Why Ontologies are Important in Mathematics Education](https://merga.net.au/merga-publications/why-ontologies-are-important-in-mathematics-education/) - 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This paper distinguishes between the conual andtext informational roles of graphics and provides an overview of the types of information graphics. It also presents](https://merga.net.au/merga-publications/there-is-scant-research-on-the-role-of-graphics-in-students-mathematical-performance-this-paper-distinguishes-between-the-conual-andtext-informational-roles-of-graphics-and-provides-an-overv/) - Catherine AttardThe purpose of this roundtable is to describe a research proposal and seek feedback and advice on the proposed study. The research project aims to investigate current concerns of a downturn in motivation and engagement levels as students move through the middle years of schooling (Years 5 to 8 in New South Wales). Current - [Student Achievement in Mathematics: Learning through Home School Partnership](https://merga.net.au/merga-publications/student-achievement-in-mathematics-learning-through-home-school-partnership/) - Honor Ronowicz and Gaynor TerrillThe Home School Partnership Numeracy facilitators will start the round table discussion by presenting the findings from three small studies: i) Two case studies investigating if schools change the way they communicate student achievement to parents as a result of participating in the Home School Partnership project. ii) A small research - [Moving Beyond the Script: Addressing Numeracy Needs of Low Achieving Students through Quality Professional Development](https://merga.net.au/merga-publications/moving-beyond-the-script-addressing-numeracy-needs-of-low-achieving-students-through-quality-professional-development/) - Moira Blair and Anuja SinghThe New Zealand Numeracy Development Project (NDP) was introduced to combat the disparity between high and low achieving students. It originated as a pilot project in 1999 as an extension and modification of the Australian ‘Count Me In Too’ project, and was implemented by the Ministry of Education in 2001. Whilst - [MERGA: Including the X and Y in Mathematics Education Research](https://merga.net.au/merga-publications/merga-including-the-x-and-y-in-mathematics-education-research/) - Peter Grootenboer and Naomi IngramMERGA has enjoyed a strong and rich history since its inception over 30 years ago. In that time it has been instrumental in supporting and developing a prominent group of mathematics education researchers who have made a significant contribution to the field. The purpose of this Round-Table Discussion is to consider - [The Role of Pattern and Structure in Early Mathematics Learning: An Evaluation Study in the First Year of Formal Schooling](https://merga.net.au/merga-publications/the-role-of-pattern-and-structure-in-early-mathematics-learning-an-evaluation-study-in-the-first-year-of-formal-schooling/) - Joanne Mulligan, Lyn English and Mike MitchelmoreAn evaluation study aims to validate a new conceptual framework for mathematics learning based on the development of pattern and structure. It will evaluate the effectiveness of a school-entry mathematics program built on this framework using classroom observations and an interview-based student assessment. The Pattern and Structure Mathematics Awareness - [The Role of Mathematics Competitions](https://merga.net.au/merga-publications/the-role-of-mathematics-competitions/) - Brenda BicknellWhat role do competitions play in a mathematics programme? This question is examined from the multiple perspectives of fifteen students (11-13 year olds) identified as mathematically gifted and talented, and their teachers and parents. A variety of different types of mathematics competitions were subscribed to including local, national, and international competitions. There was varied - [The Next Big Teaching Resource: Interactive White Boards But Where is the Research?](https://merga.net.au/merga-publications/the-next-big-teaching-resource-interactive-white-boards-but-where-is-the-research/) - Philip C ClarksonSchools are rapidly adopting Interactive White Boards (IWBs) [or alternatively termed Smart Boards]. The rapidity of uptake has not been in step with any well designed, comprehensive research effort that might inform patterns of adoption and implementation by teachers, nor any sufficient understanding about the impact IWBs might have on students and their - [Scaffolding Students’ Understanding of Geometric Properties Using Dynamic Geometry Software](https://merga.net.au/merga-publications/scaffolding-students-understanding-of-geometric-properties-using-dynamic-geometry-software/) - Sahar BokosmatySignificant technological tools have impacted on students’ learning of Mathematics. In this study, I wish to seek evidence that dynamic geometry enhances students’ understanding of certain geometric properties and can serve as a vehicle for discovering unknown properties. The aim of the study is to explore the impact of dynamic geometry on 40 Year - [Reflections on Exponential Functions](https://merga.net.au/merga-publications/reflections-on-exponential-functions/) - Sandra Herbert and Farhang AfsharA pilot study, analysing twenty-one Year 10 students’ reflections on a unit on exponential functions taught using real-world problems, and supported by the use of CAS calculators. The real-world contexts explored during the unit provided a focus for follow-up interviews. Detailed analysis of the transcripts revealed four themes: Impact of technology; - [Motivation and Engagement in Mathematics: The Transition from Primary to Secondary School](https://merga.net.au/merga-publications/motivation-and-engagement-in-mathematics-the-transition-from-primary-to-secondary-school/) - Karen SkillingThis research will examine factors affecting engagement in Mathematics as students make the transition from primary and secondary schooling. This presentation will consider the background literature and include discussions on factors affecting motivation, engagement, and student learning in the middle years of schooling, such as teacher-student relationships, teacher content knowledge, and pedagogy. The research - [Insights from Pre-service Secondary Mathematics Teachers on their Practicum Experience](https://merga.net.au/merga-publications/insights-from-pre-service-secondary-mathematics-teachers-on-their-practicum-experience/) - Jaguthsing DindyalIn this study, a sample of 73 pre-service secondary mathematics teachers, enrolled in the PGDE programme at the National Institute of Education in Singapore, completed a survey about their views on their practicum experience. Preliminary results show that most of the student teachers acknowledged that the practicum was a good learning experience but they - [Improving Language for Problem Solving](https://merga.net.au/merga-publications/improving-language-for-problem-solving/) - Benedicte EstermanThis study proposes to look at the nature of language required in a middle school mathematics classroom through a teaching experiment. The teaching intervention proposes to provide explicit teaching of the mathematical and non-mathematical language and orchestrate subsequent opportunities for students to engage in substantive communication through cooperative groupwork. The emphasis will be on - [Financial Modelling with Matlab](https://merga.net.au/merga-publications/financial-modelling-with-matlab/) - Peter Watson and Jiling CaoFinancial modelling is an accessible and practical way to expose students to the power of mathematical modelling and the Excel spreadsheet with its extensive collection of financial functions is often incorporated into courses on financial mathematics. At AUT University we have chosen to focus on the Excel spreadsheet for our introductory - [Errors Made by Student Teachers when Writing Test Items](https://merga.net.au/merga-publications/errors-made-by-student-teachers-when-writing-test-items/) - Jaguthsing DindyalLearning to write good test items is an important aspect of the teacher preparation programmes in Singapore. This paper reports on the types of errors in writing test items in mathematics made by student teachers who were following the pre-service course for teaching at primary level. An analysis of the errors reveals that student - [Connecting the Points: Students Learning Decimal Place Value](https://merga.net.au/merga-publications/connecting-the-points-students-learning-decimal-place-value/) - Bruce Moody and Jenny Young-LoveridgeThis presentation documents the learning journey of a group of six Year 5/6 students from a low decile school. These students worked with the first author over several sessions to build their understanding of fractions (i.e., tenths, hundredths), and the links between these fractions and the corresponding decimal places. Structured materials - [Coaching and Mentoring Numeracy Lead Teachers to Improve Student Learning: The Journey of Two Year Seven and Eight Teachers](https://merga.net.au/merga-publications/coaching-and-mentoring-numeracy-lead-teachers-to-improve-student-learning-the-journey-of-two-year-seven-and-eight-teachers/) - Judith MillsThe Numeracy Development Project has been systematically introduced into New Zealand schools since its conception in 2001. For many teachers, successful implementation of this mathematics education reform required a transformation of long held beliefs and practices. This shift involved moving from a view of mathematics learning as individualistic and passive, towards one in which - [Achieving Computational Fluency in Multi-Digit Multiplication and Division](https://merga.net.au/merga-publications/achieving-computational-fluency-in-multi-digit-multiplication-and-division/) - Kristen TripetCurrent teaching practice has been greatly enriched through valuable research into students’ acquisition of deep understanding and skills in early multiplication and division. Research in multi-digit multiplication and division is still relatively undeveloped. This proposed study will explore how students achieve computational fluency in multiplication and division. This paper outlines the background literature and - [Middle School Students’ Interest In Statistical Literacy](https://merga.net.au/merga-publications/middle-school-students-interest-in-statistical-literacy/) - Colin Carmichael and Ian Hay Middle School Students’ Interest In Statistical Literacy - [Reconceptualising Agency Through Teachers Talking About A Sociocultural Approach To Teaching Mathematics In The Classroom](https://merga.net.au/merga-publications/reconceptualising-agency-through-teachers-talking-about-a-sociocultural-approach-to-teaching-mathematics-in-the-classroom/) - Raymond Brown and Trevor Redmond Reconceptualising Agency Through Teachers Talking About A Sociocultural Approach To Teaching Mathematics In The Classroom - [Employing Mathematical Modelling To Respond To Indigenous Students’ Needs For Contextualised Mathematics Experiences](https://merga.net.au/merga-publications/employing-mathematical-modelling-to-respond-to-indigenous-students-needs-for-contextualised-mathematics-experiences/) - Kelli Brown Employing Mathematical Modelling To Respond To Indigenous Students’ Needs For Contextualised Mathematics Experiences - [The Case Of Mathematical Proof In Lower Secondary School: Knowledge And Competencies Of Pre-Service Teachers](https://merga.net.au/merga-publications/the-case-of-mathematical-proof-in-lower-secondary-school-knowledge-and-competencies-of-pre-service-teachers/) - Jill Brown, Gloria Stillman, Björn Schwarz and Gabriele Kaiser The Case Of Mathematical Proof In Lower Secondary School: Knowledge And Competencies Of Pre-Service Teachers - [Using Paper-Folding In The Primary Years To Promote Student Engagement In Mathematical Learning](https://merga.net.au/merga-publications/using-paper-folding-in-the-primary-years-to-promote-student-engagement-in-mathematical-learning/) - Kathy Brady Using Paper-Folding In The Primary Years To Promote Student Engagement In Mathematical Learning - [Recollections Of Mathematics Education: Approaching Graduation And 5 Years Later](https://merga.net.au/merga-publications/recollections-of-mathematics-education-approaching-graduation-and-5-years-later/) - Kim Beswick and Shelley Dole Recollections Of Mathematics Education: Approaching Graduation And 5 Years Later - [Using National Numeracy Testing To Benefit Indigenous Students: Case Studies Of Teachers Taking Back Control Of Outcomes](https://merga.net.au/merga-publications/using-national-numeracy-testing-to-benefit-indigenous-students-case-studies-of-teachers-taking-back-control-of-outcomes/) - Annette R. Baturo, Tom J. Cooper, Matthew T. Michaelson and Jessica Stevenson Using National Numeracy Testing To Benefit Indigenous Students: Case Studies Of Teachers Taking Back Control Of Outcomes - [Teachers’ Motivation To Attend Voluntary Professional Development In K-10 Mathematics](https://merga.net.au/merga-publications/teachers-motivation-to-attend-voluntary-professional-development-in-k-10-mathematics/) - Judy Anderson Teachers’ Motivation To Attend Voluntary Professional Development In K-10 Mathematics - [The 2007 Common Technology Free Examination For Victorian Certificate Of Education (VCE) Mathematical Methods And Mathematical Methods Computer Algebra System (CAS)](https://merga.net.au/merga-publications/the-2007-common-technology-free-examination-for-victorian-certificate-of-education-vce-mathematical-methods-and-mathematical-methods-computer-algebra-system-cas/) - David Leigh-Lancaster, Pam Norton, Peter Jones, Magda The 2007 Common Technology Free Examination For Victorian Certificate Of Education (VCE) Mathematical Methods And Mathematical Methods Computer Algebra System (CAS)lena Les, Michael Evans and Margaret Wu - 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Ivy Kidron and Tommy Dreyfus Abstraction In Context, Combining Constructions, Justification And Enlightenment - [Primary Teachers’ Beliefs About The Use Of Mathematics Textbooks](https://merga.net.au/merga-publications/primary-teachers-beliefs-about-the-use-of-mathematics-textbooks/) - Romina Jamieson-Proctor and Carmen Byrne Primary Teachers’ Beliefs About The Use Of Mathematics Textbooks - [Social Constructivism In The Classroom: From A Community Of Learners To A Community Of Teachers](https://merga.net.au/merga-publications/social-constructivism-in-the-classroom-from-a-community-of-learners-to-a-community-of-teachers/) - Jane Irvin Social Constructivism In The Classroom: From A Community Of Learners To A Community Of Teachers - [Who A Student Sits Near To In Maths: Tension Between Social And Mathematical Identities](https://merga.net.au/merga-publications/who-a-student-sits-near-to-in-maths-tension-between-social-and-mathematical-identities/) - Naomi Ingram Who A Student Sits Near To In Maths: Tension Between Social And Mathematical Identities - [Using Task-Based Interviews To Assess Mathematical Thinking Of Primary School Students](https://merga.net.au/merga-publications/using-task-based-interviews-to-assess-mathematical-thinking-of-primary-school-students/) - Chris Hurst Using Task-Based Interviews To Assess Mathematical Thinking Of Primary School Students - [The Development Of Students’ Use Of Justification Strategies](https://merga.net.au/merga-publications/the-development-of-students-use-of-justification-strategies/) - Jodie Hunter and Glenda Anthony The Development Of Students’ Use Of Justification Strategies - [A Review Of Recent Research In Early Mathematics Learning And Technology](https://merga.net.au/merga-publications/a-review-of-recent-research-in-early-mathematics-learning-and-technology/) - Kate Highfield and Kristy Goodwin A Review Of Recent Research In Early Mathematics Learning And Technology - [Capturing Students’ Thinking About Strategies Used To Solve Mental Computations By Giving Students Access To A Pedagogical Framework](https://merga.net.au/merga-publications/capturing-students-thinking-about-strategies-used-to-solve-mental-computations-by-giving-students-access-to-a-pedagogical-framework/) - Judy Hartnett Capturing Students’ Thinking About Strategies Used To Solve Mental Computations By Giving Students Access To A Pedagogical Framework - [Identity As A Lens To Understand Learning Mathematics: Developing A Model](https://merga.net.au/merga-publications/identity-as-a-lens-to-understand-learning-mathematics-developing-a-model/) - Peter Grootenboer and Robyn Zevenbergen Identity As A Lens To Understand Learning Mathematics: Developing A Model - [Towards A Sociocultural Framework For Understanding The Work Of Mathematics Teacher-Educator-Researchers](https://merga.net.au/merga-publications/towards-a-sociocultural-framework-for-understanding-the-work-of-mathematics-teacher-educator-researchers/) - Merrilyn Goos Towards A Sociocultural Framework For Understanding The Work Of Mathematics Teacher-Educator-Researchers - [Researcher-Teacher Relationships In Mathematics Education](https://merga.net.au/merga-publications/researcher-teacher-relationships-in-mathematics-education/) - Merrilyn Goos Researcher-Teacher Relationships In Mathematics Education - [CAS Enabled Devices As Provocative Agents In The Process Of Mathematical Modelling](https://merga.net.au/merga-publications/cas-enabled-devices-as-provocative-agents-in-the-process-of-mathematical-modelling/) - Vince Geiger, Rhonda Faragher, Trevor Redmond and Jim Lowe CAS Enabled Devices As Provocative Agents In The Process Of Mathematical Modelling - [Using Valsiner](https://merga.net.au/merga-publications/using-valsiner/) - Linda Galligan Using Valsiner - [Validation Of An Assessment Instrument Developed For Eliciting Student Prior Learning In Graphing And Data Analysis](https://merga.net.au/merga-publications/validation-of-an-assessment-instrument-developed-for-eliciting-student-prior-learning-in-graphing-and-data-analysis/) - Noleine Fitzallen Validation Of An Assessment Instrument Developed For Eliciting Student Prior Learning In Graphing And Data Analysis - [Addressing Verbal Memory Weaknesses To Assist Students With Mathematical Learning Difficulties](https://merga.net.au/merga-publications/addressing-verbal-memory-weaknesses-to-assist-students-with-mathematical-learning-difficulties/) - Maureen Finnane Addressing Verbal Memory Weaknesses To Assist Students With Mathematical Learning Difficulties - [Interdisciplinary Problem Solving: A Focus On Engineering Experiences](https://merga.net.au/merga-publications/interdisciplinary-problem-solving-a-focus-on-engineering-experiences/) - Lyn D. English Interdisciplinary Problem Solving: A Focus On Engineering Experiences - [Intervention Instruction In Structuring Numbers 1 To 20: The Case Of Nate](https://merga.net.au/merga-publications/intervention-instruction-in-structuring-numbers-1-to-20-the-case-of-nate/) - David Ellemor-Collins and Robert (Bob) Wright Intervention Instruction In Structuring Numbers 1 To 20: The Case Of Nate - [Links Between Children’s Understanding Of Multiplication And Solution Strategies For Division](https://merga.net.au/merga-publications/links-between-childrens-understanding-of-multiplication-and-solution-strategies-for-division/) - Ann Downton Links Between Children’s Understanding Of Multiplication And Solution Strategies For Division - [Eliciting Growth In Teachers’ Proportional Reasoning: Measuring The Impact Of A Professional Development Program](https://merga.net.au/merga-publications/eliciting-growth-in-teachers-proportional-reasoning-measuring-the-impact-of-a-professional-development-program/) - Shelley Dole, Doug Clarke, Tony Wright, Geoff Hilton and Anne Roche Eliciting Growth In Teachers’ Proportional Reasoning: Measuring The Impact Of A Professional Development Program - [Explorations Of Early Childhood – New Entrant Transition In Mathematics](https://merga.net.au/merga-publications/explorations-of-early-childhood-new-entrant-transition-in-mathematics/) - Ngaire M. Davies and Karen Walker Explorations Of Early Childhood – New Entrant Transition In Mathematics - [Advancing Research Into Affective Factors In Mathematics Learning: Clarifying Key Factors, Terminology And Measurement](https://merga.net.au/merga-publications/advancing-research-into-affective-factors-in-mathematics-learning-clarifying-key-factors-terminology-and-measurement/) - Patricia C. Cretchley Advancing Research Into Affective Factors In Mathematics Learning: Clarifying Key Factors, Terminology And Measurement - [Mathematics For Engineering Education: What Students Say](https://merga.net.au/merga-publications/mathematics-for-engineering-education-what-students-say/) - Mary Coupland, Anne Gardner and Georgina Carmody Mathematics For Engineering Education: What Students Say - [Year Five Students Solving Mental And Written Problems: What Are They Thinking?](https://merga.net.au/merga-publications/year-five-students-solving-mental-and-written-problems-what-are-they-thinking/) - Julie Clark Year Five Students Solving Mental And Written Problems: What Are They Thinking? - [Does Student Success Motivate Teachers To Sustain Reform-Oriented Pedagogy?](https://merga.net.au/merga-publications/does-student-success-motivate-teachers-to-sustain-reform-oriented-pedagogy/) - Linda Cheeseman Does Student Success Motivate Teachers To Sustain Reform-Oriented Pedagogy? - [One Secondary Teacher’s Use Of Problem-Solving Teaching Approaches](https://merga.net.au/merga-publications/one-secondary-teachers-use-of-problem-solving-teaching-approaches/) - Michael Cavanagh One Secondary Teacher’s Use Of Problem-Solving Teaching Approaches - [Feedback About Professional Growth For Teachers Of Mathematics: A Developmental Perspective](https://merga.net.au/merga-publications/feedback-about-professional-growth-for-teachers-of-mathematics-a-developmental-perspective/) - Greg McPhan, John Pegg and Stefan Horarik Feedback About Professional Growth For Teachers Of Mathematics: A Developmental Perspective - [Focusing Year 8 Students On Self-Regulating Their Learning Of Mathematics](https://merga.net.au/merga-publications/focusing-year-8-students-on-self-regulating-their-learning-of-mathematics/) - Andrea McDonough and Peter Sullivan Focusing Year 8 Students On Self-Regulating Their Learning Of Mathematics - [High Achievers In Mathematics: What Can We Learn From And About Them?](https://merga.net.au/merga-publications/high-achievers-in-mathematics-what-can-we-learn-from-and-about-them/) - Gilah Leder High Achievers In Mathematics: What Can We Learn From And About Them? - [Some Key Junctures In Relational Thinking](https://merga.net.au/merga-publications/some-key-junctures-in-relational-thinking/) - Max Stephens Some Key Junctures In Relational Thinking - [What Does Three-Quarters Look Like? Students’ Representations Of Three-Quarters](https://merga.net.au/merga-publications/what-does-three-quarters-look-like-students-representations-of-three-quarters/) - Vicki Steinle and Beth Price What Does Three-Quarters Look Like? Students’ Representations Of Three-Quarters - [Modes Of Reasoning In Explanations In Year 8 Textbooks](https://merga.net.au/merga-publications/modes-of-reasoning-in-explanations-in-year-8-textbooks/) - Kaye Stacey and Jill Vincent Modes Of Reasoning In Explanations In Year 8 Textbooks - [Gaining Insight Into Alice’s Pedagogy With Respect To Five Dimensions Of Numeracy](https://merga.net.au/merga-publications/gaining-insight-into-alices-pedagogy-with-respect-to-five-dimensions-of-numeracy/) - Jane Skalicky Gaining Insight Into Alice’s Pedagogy With Respect To Five Dimensions Of Numeracy - [School Readiness: What Do Teachers Expect Of Children In Mathematics On School Entry?](https://merga.net.au/merga-publications/school-readiness-what-do-teachers-expect-of-children-in-mathematics-on-school-entry/) - Brenda Sherley and Megan Clark School Readiness: What Do Teachers Expect Of Children In Mathematics On School Entry? - [The Introduction Of Interactive Whiteboard Technology In The Primary Mathematics Classroom: Three Case Studies](https://merga.net.au/merga-publications/the-introduction-of-interactive-whiteboard-technology-in-the-primary-mathematics-classroom-three-case-studies/) - Penelope Serow and Rosemary Callingham The Introduction Of Interactive Whiteboard Technology In The Primary Mathematics Classroom: Three Case Studies - [Investigating A Phase Approach To Using Technology As A Teaching Tool](https://merga.net.au/merga-publications/investigating-a-phase-approach-to-using-technology-as-a-teaching-tool/) - Penelope Serow Investigating A Phase Approach To Using Technology As A Teaching Tool - [Engagement Versus Deep Mathematical Understanding: An Early Career Teacher’s Use Of ICT In A Lesson](https://merga.net.au/merga-publications/engagement-versus-deep-mathematical-understanding-an-early-career-teachers-use-of-ict-in-a-lesson/) - Anne Scott, Ann Downton, Donna Gronn and Adam Staples Engagement Versus Deep Mathematical Understanding: An Early Career Teacher’s Use Of ICT In A Lesson - [Making Connections: Promoting Connectedness In Early Mathematics Education](https://merga.net.au/merga-publications/making-connections-promoting-connectedness-in-early-mathematics-education/) - Abigail Sawyer Making Connections: Promoting Connectedness In Early Mathematics Education - [The Identification Of Partially Correct Constructs](https://merga.net.au/merga-publications/the-identification-of-partially-correct-constructs/) - Gila Ron, Rina Hershkowitz and Tommy Dreyfus The Identification Of Partially Correct Constructs - [The Hospital Problem Revisited. Tertiary Student’s Perceptions Of A Problem Involving The Binomial Distribution](https://merga.net.au/merga-publications/the-hospital-problem-revisited-tertiary-students-perceptions-of-a-problem-involving-the-binomial-distribution/) - Robyn Reaburn The Hospital Problem Revisited. Tertiary Student’s Perceptions Of A Problem Involving The Binomial Distribution - [A Situated Perspective On Learning To Teach Secondary Mathematics](https://merga.net.au/merga-publications/a-situated-perspective-on-learning-to-teach-secondary-mathematics/) - Anne Prescott and Michael Cavanagh A Situated Perspective On Learning To Teach Secondary Mathematics - [Use Of The Internet For Teacher Professional Development And For Teaching Mathematics: Supports And Inhibitors](https://merga.net.au/merga-publications/use-of-the-internet-for-teacher-professional-development-and-for-teaching-mathematics-supports-and-inhibitors/) - Sitti Maesuri Patahuddin Use Of The Internet For Teacher Professional Development And For Teaching Mathematics: Supports And Inhibitors - [Primary Teachers’ Perceptions Of Their Knowledge And Understanding Of Measurement](https://merga.net.au/merga-publications/primary-teachers-perceptions-of-their-knowledge-and-understanding-of-measurement/) - Michelle O’Keefe and Janette Bobis Primary Teachers’ Perceptions Of Their Knowledge And Understanding Of Measurement - [Engaging Mathematics Teachers In Professional Learning By Reflecting On Their Pedagogical Practice](https://merga.net.au/merga-publications/engaging-mathematics-teachers-in-professional-learning-by-reflecting-on-their-pedagogical-practice/) - Richard O’Donovan Engaging Mathematics Teachers In Professional Learning By Reflecting On Their Pedagogical Practice - [Teaching Mathematics And Technology Through Design Practice](https://merga.net.au/merga-publications/teaching-mathematics-and-technology-through-design-practice/) - Stephen Norton and Tom J Cooper Teaching Mathematics And Technology Through Design Practice - [Students’ Attitude Towards Using Materials To Learn Algebra: A Year 7 Case Study](https://merga.net.au/merga-publications/students-attitude-towards-using-materials-to-learn-algebra-a-year-7-case-study/) - Stephen Norton and Will Windsor Students’ Attitude Towards Using Materials To Learn Algebra: A Year 7 Case Study - [“Zero Is Not A Number”: Teachable Moments And Their Role In Effective Teaching Of Numeracy](https://merga.net.au/merga-publications/zero-is-not-a-number-teachable-moments-and-their-role-in-effective-teaching-of-numeracy/) - Tracey Muir “Zero Is Not A Number”: Teachable Moments And Their Role In Effective Teaching Of Numeracy - [Fraction Number Line Tasks And The Additivity Concept Of Length Measurement](https://merga.net.au/merga-publications/fraction-number-line-tasks-and-the-additivity-concept-of-length-measurement/) - Annie Mitchell and Marj Horne Fraction Number Line Tasks And The Additivity Concept Of Length Measurement - [Mixing Colours: An ICT Tool Based On A Semiotic Framework For Mathematical Meaning-Making About Ratio And Fractions](https://merga.net.au/merga-publications/mixing-colours-an-ict-tool-based-on-a-semiotic-framework-for-mathematical-meaning-making-about-ratio-and-fractions/) - Andy Yeh and Rod Nason Mixing Colours: An ICT Tool Based On A Semiotic Framework For Mathematical Meaning-Making About Ratio And Fractions - [Fractions As A Measure](https://merga.net.au/merga-publications/fractions-as-a-measure/) - Monica Wong and David Evans Fractions As A Measure - [Success And Consistency In The Use Of Heuristics To Solve Mathematics Problems](https://merga.net.au/merga-publications/success-and-consistency-in-the-use-of-heuristics-to-solve-mathematics-problems/) - Khoon Yoong Wong Success And Consistency In The Use Of Heuristics To Solve Mathematics Problems - [How Group Composition Can Influence Opportunities For Spontaneous Learning](https://merga.net.au/merga-publications/how-group-composition-can-influence-opportunities-for-spontaneous-learning/) - Gaye Williams How Group Composition Can Influence Opportunities For Spontaneous Learning - [Counting On 2007: A Program For Middle Years Students Who Have Experienced Difficulty With Mathematics](https://merga.net.au/merga-publications/counting-on-2007-a-program-for-middle-years-students-who-have-experienced-difficulty-with-mathematics/) - Allan White Counting On 2007: A Program For Middle Years Students Who Have Experienced Difficulty With Mathematics - [Proportional Reasoning: Student Knowledge And Teachers’ Pedagogical Content Knowledge](https://merga.net.au/merga-publications/proportional-reasoning-student-knowledge-and-teachers-pedagogical-content-knowledge/) - Jane Watson, Rosemary Callingham and Julie Donne Proportional Reasoning: Student Knowledge And Teachers’ Pedagogical Content Knowledge - [Building Informal Inference In Grade 7](https://merga.net.au/merga-publications/building-informal-inference-in-grade-7/) - Jane Watson and Julie Donne Building Informal Inference In Grade 7 - [Indigenous Students’ Early Engagement With Numeracy: The Case Of Widgy And Caddy](https://merga.net.au/merga-publications/indigenous-students-early-engagement-with-numeracy-the-case-of-widgy-and-caddy/) - Elizabeth Warren, Janelle Young and Eva De Vries Indigenous Students’ Early Engagement With Numeracy: The Case Of Widgy And Caddy - [Deepening The Mathematical Knowledge Of Secondary Mathematics Teachers Who Lack Tertiary Mathematics Qualifications](https://merga.net.au/merga-publications/deepening-the-mathematical-knowledge-of-secondary-mathematics-teachers-who-lack-tertiary-mathematics-qualifications/) - Colleen Vale and Alasdair McAndrew Deepening The Mathematical Knowledge Of Secondary Mathematics Teachers Who Lack Tertiary Mathematics Qualifications - [Recognising Different Starting Points In Aboriginal Students’ Learning Of Number](https://merga.net.au/merga-publications/recognising-different-starting-points-in-aboriginal-students-learning-of-number/) - Kaye Treacy and Sandra Frid Recognising Different Starting Points In Aboriginal Students’ Learning Of Number - [Speaking With Different Voices: Knowledge Legitimation Codes Of Mathematicians And Mathematics Educators](https://merga.net.au/merga-publications/speaking-with-different-voices-knowledge-legitimation-codes-of-mathematicians-and-mathematics-educators/) - Steve Thornto Speaking With Different Voices: Knowledge Legitimation Codes Of Mathematicians And Mathematics Educators - [Neuropsychological Evidence For The Role Of Graphical And Algebraic Representations In Understanding Function](https://merga.net.au/merga-publications/neuropsychological-evidence-for-the-role-of-graphical-and-algebraic-representations-in-understanding-function/) - Michael O. J. Thomas, Anna J. Wilson, Michael C. Corballis and Vanessa K. Lim Neuropsychological Evidence For The Role Of Graphical And Algebraic Representations In Understanding Function - [Self-Efficacy In Mathematics: Affective, Cognitive, And Conative Domains Of Functioning](https://merga.net.au/merga-publications/self-efficacy-in-mathematics-affective-cognitive-and-conative-domains-of-functioning/) - S. L. Tait–McCutcheon Self-Efficacy In Mathematics: Affective, Cognitive, And Conative Domains Of Functioning - [Chinese Young Children’s Strategies On Basic Addition Facts](https://merga.net.au/merga-publications/chinese-young-childrens-strategies-on-basic-addition-facts/) - Huayu Sun Chinese Young Children’s Strategies On Basic Addition Facts - [Creating Equitable Practice In Diverse Classrooms: Developing A Tool To Evaluate Pedagogy](https://merga.net.au/merga-publications/creating-equitable-practice-in-diverse-classrooms-developing-a-tool-to-evaluate-pedagogy/) - Robyn Zevenbergen, Richard Niesche, Peter Grootenboer and Jo Boaler Creating Equitable Practice In Diverse Classrooms: Developing A Tool To Evaluate Pedagogy - [Problem Solving Activities In A Constructivist Framework: Exploring How Students Approach Difficult Problems](https://merga.net.au/merga-publications/problem-solving-activities-in-a-constructivist-framework-exploring-how-students-approach-difficult-problems/) - Oleksiy Yevdokimov and Tim Passmore Problem Solving Activities In A Constructivist Framework: Exploring How Students Approach Difficult Problems - [Teaching Area And Perimeter: Mathematics-Pedagogical-Content Knowledge-In-Action](https://merga.net.au/merga-publications/teaching-area-and-perimeter-mathematics-pedagogical-content-knowledge-in-action/) - Kai Kow Joseph Yeo Teaching Area And Perimeter: Mathematics-Pedagogical-Content Knowledge-In-Action - [Secondary School Students Investigating Mathematics](https://merga.net.au/merga-publications/secondary-school-students-investigating-mathematics/) - Joseph Yeo Secondary School Students Investigating Mathematics - [The Role Of Information Graphics In Mathematical Proficiency](https://merga.net.au/merga-publications/the-role-of-information-graphics-in-mathematical-proficiency/) - Carmel Diezmann and Tom Lowrie The Role Of Information Graphics In Mathematical Proficiency - [The Construction Of Knowledge: Theoretical Approaches](https://merga.net.au/merga-publications/the-construction-of-knowledge-theoretical-approaches/) - Tommy Dreyfus, Michael O. J. Thomas, Jill P. Brown and Gaye Williams The Construction Of Knowledge: Theoretical Approaches - [Standardised Assessment In Mathematics: The Tale Of Two Items](https://merga.net.au/merga-publications/standardised-assessment-in-mathematics-the-tale-of-two-items/) - Tracy Logan and Jane Greenlees Standardised Assessment In Mathematics: The Tale Of Two Items - [Graphics And The National Numeracy Tests](https://merga.net.au/merga-publications/graphics-and-the-national-numeracy-tests/) - Carmel Diezmann Graphics And The National Numeracy Tests - [A Longitudinal Study Of Student Performance On Items Rich In Graphics](https://merga.net.au/merga-publications/a-longitudinal-study-of-student-performance-on-items-rich-in-graphics/) - Tom Lowrie A Longitudinal Study Of Student Performance On Items Rich In Graphics - [Facilitating Communities Of Mathematical Inquiry](https://merga.net.au/merga-publications/facilitating-communities-of-mathematical-inquiry/) - Roberta Hunte Facilitating Communities Of Mathematical Inquiry - [Stars, Compass, And GPS: Navigating Currents And Charting Directions For Mathematics Education Research On Gender Issues](https://merga.net.au/merga-publications/stars-compass-and-gps-navigating-currents-and-charting-directions-for-mathematics-education-research-on-gender-issues/) - Helen Forgasz Stars, Compass, And GPS: Navigating Currents And Charting Directions For Mathematics Education Research On Gender Issues - [Praxis And Practice Architectures In Mathematics Education](https://merga.net.au/merga-publications/praxis-and-practice-architectures-in-mathematics-education/) - Stephen Kemmis Praxis And Practice Architectures In Mathematics Education - [Judges And Reviewers For MERGA 31](https://merga.net.au/merga-publications/judges-and-reviewers-for-merga-31/) - Judges And Reviewers For MERGA 31 - [Preface](https://merga.net.au/merga-publications/preface-14/) - Merrilyn Goos Preface - [Navigating Currents And Charting Directions](https://merga.net.au/merga-publications/navigating-currents-and-charting-directions/) - Editors: Merrilyn Goos, Ray Brown and Katie Makar Navigating Currents And Charting Directions - [Some Methodological Considerations in the Estonian Study about Students? Beliefs in Mathematics: Is Triangulation Necessary?](https://merga.net.au/merga-publications/some-methodological-considerations-in-the-estonian-study-about-students-beliefs-in-mathematics-is-triangulation-necessary/) - Kirsti KislenkoA study about students’ beliefs and attitudes towards mathematics was carried out in Estonia in early 2006. The study aimed, firstly, to investigate students’ views towards mathematics and the underlying rationale, and secondly, to gain an understanding of the regular mathematics classroom activities in Estonia. The study used methodological triangulation, that is to use - [Progress in Mathematics : Learning through Home School Partnership](https://merga.net.au/merga-publications/progress-in-mathematics-learning-through-home-school-partnership/) - Denise Smith and Gaynor TerrillThe Home School Partnership Numeracy facilitators will start the round table discussion by presenting the findings from three small studies: i) New Zealand Council for Education Research (NZCER) National Exploratory Home School Partnership Research ii) A case study on increasing parents’ confidence in order to support their children’s learning in numeracy - [Profiles of Thinking Skills and Levels of Motivation in a Problem-Solving Task](https://merga.net.au/merga-publications/profiles-of-thinking-skills-and-levels-of-motivation-in-a-problem-solving-task/) - Sarah Buckley, Mary Ainley and Pip PattisonIn the following project, we investigated students’ use of mathematical thinking skills in an interactive, computer problem-solving task. Within the program Between The Lines (BTL) (Ainley & Hidi, 2002), a range of statistical information was presented. Students were required to integrate these different types of mathematical information in line - [Mӓori Student’s Perspective on Their Mathematical Journey Through Mӓori Medium](https://merga.net.au/merga-publications/mӓori-students-perspective-on-their-mathematical-journey-through-mӓori-medium/) - Leeana HerewiniThe focus of this round table is to invite colleagues to inform, contribute to, and explore some of the key themes that arose in this study. These being the transition from primary school to secondary school, the role of students? perspectives in mathematics research, and mathematics education in an indigenous language. This study set - [An Investigation of Mathematics Strategies in Traditional School Contexts and Real-World Contexts](https://merga.net.au/merga-publications/an-investigation-of-mathematics-strategies-in-traditional-school-contexts-and-real-world-contexts/) - Julie Clark and Kathy BradyThe purpose of this roundtable is to describe a proposed research project and to seek advice, ideas, and suggestions from participants. The project will address two main questions. Firstly, how do mathematical strategies used in traditional school contexts compare with strategies used in real-world contexts? Research continues to highlight the lack - [Year 12 Students’ Participation in Higher Mathematics Courses](https://merga.net.au/merga-publications/year-12-students-participation-in-higher-mathematics-courses/) - Mohan Chinnappan, Stephen Dinham, Tony Herrington and Dale ScottAustralia?s future prosperity and our ability to compete in the global arena demand that our education systems develop human capital that is highly skilled and knowledgeable. Participation in mathematics, in particular higher mathematics, is an important prerequisite for young Australians if we are to develop the range - [Wanted: One Great Maths Teacher!](https://merga.net.au/merga-publications/wanted-one-great-maths-teacher/) - Pamela PergerThe New Zealand Teachers Council identifies factors important for teacher registration. These factors must also be considered the foundation criteria for effective teachers of mathematics. What is it that makes an effective mathematics teacher? This article presents a picture of the ideal mathematics teacher as described by a group of Year 7 and 8 - [Using Electronic Handwriting and Tablet PCs to Enhance Distance Students’ Understanding of First Year Mathematics at University](https://merga.net.au/merga-publications/using-electronic-handwriting-and-tablet-pcs-to-enhance-distance-students-understanding-of-first-year-mathematics-at-university/) - Linda Galligan, Birgit Loch, Janet Taylor and Christine McDonaldCommunicating mathematics to distance students is often difficult. This presentation reports on preliminary research in three areas. (1) The trial of an electronic handwriting tool in MSN Messenger in a large mathematics service course in Semester 1 2006 for online synchronous group work and individual consultations. (2) - [Using Counter-Examples and Paradoxes in Teaching Probability: Students? Attitudes](https://merga.net.au/merga-publications/using-counter-examples-and-paradoxes-in-teaching-probability-students-attitudes/) - Murray Black, Farida Kachapova, Sergiy Klymchuk and Ilias KachapovThe paper presents and analyses students’ attitudes towards using counter-examples and paradoxes as a pedagogical strategy in teaching/learning of a first-year university course in probability theory and applications. Our intentions of using this strategy were: to achieve deeper conceptual understanding; to reduce or eliminate common misconceptions; to - [Using Cabri Geometry to Explore the Geometric Properties of Parallelograms in Year 7 Mathematics Classrooms](https://merga.net.au/merga-publications/using-cabri-geometry-to-explore-the-geometric-properties-of-parallelograms-in-year-7-mathematics-classrooms/) - Sahar BokosmatyA teaching experiment was conducted to explore the impact of Cabri Geometry on 6 Year 7 students’ understanding of parallelograms. Students worked in pairs, and were guided through activities designed to introduce the software and to encourage discovery and exploration of specific geometric properties. Students were also required to use this knowledge to solve - [The Impact of Didactical Contract on Students? Perceptions of their Intentional Learning Acts](https://merga.net.au/merga-publications/the-impact-of-didactical-contract-on-students-perceptions-of-their-intentional-learning-acts/) - Troels Lange and Tamsin MeaneyThis paper considers how the didactical contract between students and their teacher is influenced by students’ foregrounds and backgrounds and the impact that this has on their learning of mathematics. It uses examples of two students in two primary classrooms, one in Denmark and the other in New Zealand. It is - [The Impact of an Intervention on the Development of Mathematical Pattern and Structure in the First Year of Schooling](https://merga.net.au/merga-publications/the-impact-of-an-intervention-on-the-development-of-mathematical-pattern-and-structure-in-the-first-year-of-schooling/) - Joanne Mulligan, Mike Mitchelmore, Coral Kemp, Jennie Marston and Kate HighfieldUsing a design approach, this study monitors the influence of patterning tasks on the mathematics learning of 10 Kindergarten children. The children were engaged in a Pattern and Structure Mathematics Awareness Program over 15 weekly teaching episodes. Children were pre- and post-tested using an interview - [The Cognitive and Pedagogical Affordances of Digital Learning Tools on Early Mathematical Development](https://merga.net.au/merga-publications/the-cognitive-and-pedagogical-affordances-of-digital-learning-tools-on-early-mathematical-development/) - Kristy Goodwin, Joanne Mulligan and John HedbergSignificant technological change has impacted on the representational modalities employed in mathematics learning. Yet, studies evaluating their impact and efficacy are not entirely unequivocal. This study investigates the unique contribution of interactive, digital technologies in the learning of early mathematical concepts in the first years of schooling. The study - [Teaching Geometry with CAS in the Junior Secondary Classroom: A Case Study](https://merga.net.au/merga-publications/teaching-geometry-with-cas-in-the-junior-secondary-classroom-a-case-study/) - Warren PalmerComputer Algebraic System (CAS) calculators are currently being trialled in a number of junior secondary New Zealand mathematics classrooms. In this case study, two geometry lessons are described where the teacher has successfully incorporated the technology into his teaching so that a problem that might otherwise have proved to be a stumbling block is - [Te Poutama Tau (TPT): An Indigenous Response to the Numeracy Development Project 2002-2006](https://merga.net.au/merga-publications/te-poutama-tau-tpt-an-indigenous-response-to-the-numeracy-development-project-2002-2006/) - Wini Emery and Leeana HerewiniMaori medium education in New Zealand has been in existence for more than 20 years. Te Poutama Tau (TPT), similar to the mainstream Numeracy Project, is responsive to the Ministry of Education?s strategy for improving levels of literacy and numeracy in New Zealand schools. The major difference between the Numeracy Project - [Revisions and Extensions of a Pirie-Kieren-Based Teaching Model](https://merga.net.au/merga-publications/revisions-and-extensions-of-a-pirie-kieren-based-teaching-model/) - Peter HughesA teaching model based on Pirie-Kieren Theory was devised for the teaching of strategic thinking for the New Zealand Numeracy Project. This was used in the design of teacher material that was progressively available to most New Zealand primary teachers in the period 2001 to 2006. The ways in which teachers mis-implemented the model - [Reform and Assessment Practice: The Need for an Investigation](https://merga.net.au/merga-publications/reform-and-assessment-practice-the-need-for-an-investigation/) - Julie AndersonPublic education in Victoria is currently undertaking a major reform process involving a number of initiatives including reporting and assessment. This paper will describe the identification of a gap between assumptions made by Department of Education and Training about teachers’ assessment practice and about what teachers actually do when they assess student progress. A - [Proportional Reasoning: A Global or Localised Development?](https://merga.net.au/merga-publications/proportional-reasoning-a-global-or-localised-development/) - Vince WrightThe study of 29 year 8 students investigated whether the development of proportional reasoning was localised or generalised. It found support for localised early development and a generalised later development. Multiplicative thinking with whole numbers was found to be a necessary, but not sufficient, condition for proportional reasoning. - [Pre-service Primary Teachers Developing Positive Attitudes Towards Teaching Mathematics](https://merga.net.au/merga-publications/pre-service-primary-teachers-developing-positive-attitudes-towards-teaching-mathematics/) - Julie ClarkThere is ongoing concern about the negative attitude large numbers of pre-service primary teachers have towards mathematics. The participants in this study were students in year-long primary mathematics curriculum studies courses that focussed on beliefs and attitudes, alongside content and pedagogy. Throughout the year, pre-service teachers personally experienced supportive and effective mathematics communities. As - [Myths and Positioning: Insights from Hermeneutics](https://merga.net.au/merga-publications/myths-and-positioning-insights-from-hermeneutics/) - Steve ThorntonSchool mathematics values abstract reasoning over practical knowledge, propagating the myth of reference. School mathematics also makes claims that mathematics is essential for effective functioning in society, thus propagating the myth of participation. This paper uses hermeneutics to examine a worksheet used in a year 7 mathematics classroom to illustrate the myths of reference - [Misconceptions in Locating Negative Decimals on the Number Line](https://merga.net.au/merga-publications/misconceptions-in-locating-negative-decimals-on-the-number-line/) - Wanty Widjaja, Kaye Stacey and Vicki SteinleThis paper explores misconceptions revealed when pre-service teachers locate negative decimals on a number line. Written responses from 96 pre-service teachers to tests and group worksheets and video-recorded observation of their classroom discussions and interviews provide extensive data. Three misconceptions are identified. Two relate to incorrect analogies between the - [Measuring the Effectiveness and Efficiency of Language-In-Use for Algebra Learning: A Multi-Level Nested Modelling and DEA Approach](https://merga.net.au/merga-publications/measuring-the-effectiveness-and-efficiency-of-language-in-use-for-algebra-learning-a-multi-level-nested-modelling-and-dea-approach/) - Robert de la SernaThis study investigates the effectiveness and efficiency of mathematics instruction in two languages (English vs. Cebuano/English Code-Switching) on the performances of Filipino algebra students in 11 classes of a Philippine private high school. Conducted in 2005-2006, a quasi-experiment addressed the question: Between the two languages of instruction, which promotes better algebra learning - [Mathematically Gifted Students Managing School Transfer](https://merga.net.au/merga-publications/mathematically-gifted-students-managing-school-transfer/) - Brenda BicknellThis paper reports on the school transfer of 15 mathematically gifted Year 6 and Year 8 students. The data are extracted from a longitudinal qualitative study that examines student and parent perspectives, and programme provision for mathematically gifted and talented students before and after a change of schools. 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This is - [The Initial Professional Development of Teachers Learning to Use a Framework for Determining Students’ Strategic Thinking](https://merga.net.au/merga-publications/the-initial-professional-development-of-teachers-learning-to-use-a-framework-for-determining-students-strategic-thinking/) - Peter HughesDerived initially from the observation of children’s methods of counting, Mathematics Recovery and Count Me in Too, the New Zealand Numeracy Projects have, as a starting point for the training of teachers, the understanding and use of a strategy framework that traces children’s development in number reasoning. 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English and Jillian L. Fox Seventh-Graders’ Mathematical Modelling On Completion Of A Three-Year Program - [Student Misconceptions About Projectile Motion](https://merga.net.au/merga-publications/student-misconceptions-about-projectile-motion/) - Anne Prescott and Michael Mitchelmore Student Misconceptions About Projectile Motion - [Mathematical Beliefs And Achievement Of Pre-Service Primary Teachers](https://merga.net.au/merga-publications/mathematical-beliefs-and-achievement-of-pre-service-primary-teachers/) - Bob Perry, Jenni Way, Beth Southwell, Allan White and John Pattison Mathematical Beliefs And Achievement Of Pre-Service Primary Teachers - [The Effect Of Money As A Context On The Mental Computation Performance Of Students In Years 3, 5, 7 And 9](https://merga.net.au/merga-publications/the-effect-of-money-as-a-context-on-the-mental-computation-performance-of-students-in-years-3-5-7-and-9/) - Anne Paterson and Jack Bana The Effect Of Money As A Context On The Mental Computation Performance Of Students In Years 3, 5, 7 And 9 - [Preschoolers’ Mathematical Patterning](https://merga.net.au/merga-publications/preschoolers-mathematical-patterning/) - Marina Papic and Joanne Mulligan Preschoolers’ Mathematical Patterning - [Teachers’ Development Of Substantive Communication About Mathematics](https://merga.net.au/merga-publications/teachers-development-of-substantive-communication-about-mathematics/) - Kay Owens Teachers’ Development Of Substantive Communication About Mathematics - [Do Teachers Change Their Practices While Participating In A Lesson Study?](https://merga.net.au/merga-publications/do-teachers-change-their-practices-while-participating-in-a-lesson-study/) - Jo Clay Olson Do Teachers Change Their Practices While Participating In A Lesson Study? - [Mathematics And The Construction Of Feminine Gender Identity](https://merga.net.au/merga-publications/mathematics-and-the-construction-of-feminine-gender-identity/) - Stephen Norton Mathematics And The Construction Of Feminine Gender Identity - [Regional Differences In The Professional Development Needs And Preferences Of Teachers Of Primary Mathematics](https://merga.net.au/merga-publications/regional-differences-in-the-professional-development-needs-and-preferences-of-teachers-of-primary-mathematics/) - Steven Nisbet Regional Differences In The Professional Development Needs And Preferences Of Teachers Of Primary Mathematics - [Understanding Students’ Reasoning While Comparing Expressions](https://merga.net.au/merga-publications/understanding-students-reasoning-while-comparing-expressions/) - Shweta Naik, Rakhi Banerjee and K Subramaniam Understanding Students’ Reasoning While Comparing Expressions - [Where Did I Go Wrong? 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Ellerton and M. A. (Ken) Clements Students’ Attempts To Solve Two Elementary Quadratic Equations: A Study In Three Nations - [Children’s Views Of Their Teacher’s Role In Helping Them Learn Mathematics](https://merga.net.au/merga-publications/childrens-views-of-their-teachers-role-in-helping-them-learn-mathematics/) - Merilyn Taylor, Ngarewa Hawera and Jenny Young-Loveridge Children’s Views Of Their Teacher’s Role In Helping Them Learn Mathematics - [Interactive Whole Class Teaching And Interactive White Boards](https://merga.net.au/merga-publications/interactive-whole-class-teaching-and-interactive-white-boards/) - Howard Tanner, Sonia Jones, Steve Kennewell and Gary Beauchamp Interactive Whole Class Teaching And Interactive White Boards - [The Integration Of Mathematics And Music In The Primary School Classroom](https://merga.net.au/merga-publications/the-integration-of-mathematics-and-music-in-the-primary-school-classroom/) - Kathryn Still and Janette Bobis The Integration Of Mathematics And Music In The Primary School Classroom - 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Anne Scott Preservice Teachers’ Intentions To Provide Good Examples And Help Children Replicate Them - [Education For Early Mathematical Literacy: More Than Maths Know-How](https://merga.net.au/merga-publications/education-for-early-mathematical-literacy-more-than-maths-know-how/) - Abigail Sawyer Education For Early Mathematical Literacy: More Than Maths Know-How - [Subject Matter Knowledge: Mathematical Errors And Misconceptions Of Beginning Pre-Service Teachers](https://merga.net.au/merga-publications/subject-matter-knowledge-mathematical-errors-and-misconceptions-of-beginning-pre-service-teachers/) - Julie Ryan and Barry McCrae Subject Matter Knowledge: Mathematical Errors And Misconceptions Of Beginning Pre-Service Teachers - [High School Students’ Understanding Of Samples And Sampling Variability: Implications For Teaching And Research](https://merga.net.au/merga-publications/high-school-students-understanding-of-samples-and-sampling-variability-implications-for-teaching-and-research/) - Sashi Sharma High School Students’ Understanding Of Samples And Sampling Variability: Implications For Teaching And Research - [Student Expectations Of Studying Mathematics At University](https://merga.net.au/merga-publications/student-expectations-of-studying-mathematics-at-university/) - Keith Hirst, Susan Meacock and Elfrida Ralha Student Expectations Of Studying Mathematics At University - [ Open Your Textbooks To Page Blah, Blah, Blah”: “So I Just Blocked Off!”](https://merga.net.au/merga-publications/open-your-textbooks-to-page-blah-blah-blah-so-i-just-blocked-off/) - Bronwyn Ewing “Open Your Textbooks To Page Blah, Blah, Blah”: “So I Just Blocked Off!” - [The Victorian Curriculum And Assessment Authority (VCAA) Mathematical Methods Computer Algebra System (CAS) Pilot Study Examinations 2003](https://merga.net.au/merga-publications/the-victorian-curriculum-and-assessment-authority-vcaa-mathematical-methods-computer-algebra-system-cas-pilot-study-examinations-2003/) - Michael Evans, Pam Norton and David Leigh-Lancaster The Victorian Curriculum And Assessment Authority (VCAA) Mathematical Methods Computer Algebra System (CAS) Pilot Study Examinations 2003 - 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Irwin Language Appropriate For The New Zealand Numeracy Project - [‘I Am Really Not Alone In This Anxiety’: Bibliotherapy And Pre-Service Primary Teachers’ Self-Image As Mathematicians](https://merga.net.au/merga-publications/i-am-really-not-alone-in-this-anxiety-bibliotherapy-and-pre-service-primary-teachers-self-image-as-mathematicians/) - Sue Wilson and Steve Thornton ‘I Am Really Not Alone In This Anxiety’: Bibliotherapy And Pre-Service Primary Teachers’ Self-Image As Mathematicians - [Teaching Percentage As A Multiplicative Relationship](https://merga.net.au/merga-publications/teaching-percentage-as-a-multiplicative-relationship/) - Paul White and Michael Mitchelmore Teaching Percentage As A Multiplicative Relationship - [Statistical Literacy Over A Decade](https://merga.net.au/merga-publications/statistical-literacy-over-a-decade/) - Jane M. Watson, Ben A. Kelly and John F. Izard Statistical Literacy Over A Decade - [An Indigenous Perspective On Mathematics Contextualisation In A Pre-School: From Safety To Empowerment](https://merga.net.au/merga-publications/an-indigenous-perspective-on-mathematics-contextualisation-in-a-pre-school-from-safety-to-empowerment/) - Leesa Watego An Indigenous Perspective On Mathematics Contextualisation In A Pre-School: From Safety To Empowerment - [Patterns Supporting The Development Of Early Algebraic Thinking](https://merga.net.au/merga-publications/patterns-supporting-the-development-of-early-algebraic-thinking/) - Elizabeth A. Warren Patterns Supporting The Development Of Early Algebraic Thinking - [Challenging Task-Driven Pedagogies Of Mathematics](https://merga.net.au/merga-publications/challenging-task-driven-pedagogies-of-mathematics/) - Fiona Walls Challenging Task-Driven Pedagogies Of Mathematics - [Use of Projects in the Teaching of Statistics](https://merga.net.au/merga-publications/use-of-projects-in-the-teaching-of-statistics/) - Murray BlackThe aim of this round table discussion is to examine the merits of a project-based teaching approach for teaching statistics. My proposed research involves the lecturer using a project-based teaching approach that covers all of the prescribed content concepts in a statistics paper. This project would be introduced initially, and then every concept would - [Preparing for Assessments of our Research Productivity](https://merga.net.au/merga-publications/preparing-for-assessments-of-our-research-productivity/) - Peter SullivanWe have already entered an era of greater scrutiny of the nature and impact of our research from practitioners and we are about to receive active evaluations of our research productivity from the government and other funding agencies. First, we need to understand DEST policy developments and implications. Next, we need to understand the - [Keeping it Going: Exploring Ways to Sustain Professional Development in Numeracy](https://merga.net.au/merga-publications/keeping-it-going-exploring-ways-to-sustain-professional-development-in-numeracy/) - Fiona McDiarmid and Ruth PritchardNumeracy has been a major focus of recent professional development initiatives for primary school teachers in many countries. Research has shown that a variety of factors contribute to a school?s ability to sustain gains after completion of professional development programmes. An exploratory action research study undertaken with five inner-city primary schools - [Do High School Students Need Mathematics to Prepare for the Academic Numeracy Demands of University?](https://merga.net.au/merga-publications/do-high-school-students-need-mathematics-to-prepare-for-the-academic-numeracy-demands-of-university/) - Janet A Taylor and Linda GalliganHigh school students across Australia traditionally take at least one mathematics subject in their senior years of study. These subjects are seen as necessary for success at university and an important part of a students’ well rounded education. Similarly statements are often released relating the importance of mathematics in the - [Challenges for Mathematics Education in Pacific Island Nations in the 21st Century](https://merga.net.au/merga-publications/challenges-for-mathematics-education-in-pacific-island-nations-in-the-21st-century/) - Andy BeggThe purpose of the roundtable is to discuss with interested people the challenges for mathematics education faced by Pacific Island Nations. The form of the roundtable will be oral presentations and discussion rather than papers to reflect the oral style traditionally used in Pacific Island countries. The session will start with people working in - [Young Children Reasoning with Tables: Toward a Model](https://merga.net.au/merga-publications/young-children-reasoning-with-tables-toward-a-model/) - Maria DroujkovaWhile there is more research on kids ages eight and up, less is known about young children reasoning with tables. A series of design experiments (Droujkova, In preparation, In press) led to a table reasoning model (TRM) describing children, ages three to eight, working with qualitative and numeric tables. TRM includes four components of - [The Language of Zero: An Understanding of Place Value](https://merga.net.au/merga-publications/the-language-of-zero-an-understanding-of-place-value/) - Tracey SnapeThe acquisition of the ‘language of zero’ is important in the developmental progression of place value understanding. This short communication paper reveals the ‘language of zero that children and teachers use in Christchurch primary school classrooms and considers educational implications of research findings from a larger study. Key international literature regarding place value development - [Persistent Mathematics Misperceivers: Two Case Studies](https://merga.net.au/merga-publications/persistent-mathematics-misperceivers-two-case-studies/) - Martin Lamb, John Malone, Daniel Boase-Jelinek, and Scott LewisIn a study of 744 Western Australian Year 8 and 9 students, three different types of misperception were identified when students performed linear transformations. To examine their particular perceptual problems, nine persistent misperceivers (those who misperceived in the same way on three tests) were given one-on-one remedial - [Message from Student Teacher Constructed Posters](https://merga.net.au/merga-publications/message-from-student-teacher-constructed-posters/) - Shajahan HajaThis paper reports the upshot of a poster contest ‘Mathematics-Language of the Universe’ conducted for prospective teachers on 10.11.2002 in ‘Tuticorin, India’. 20 student teachers (12 females& 8 males) from 7 colleges of education in ‘India’ participated in the poster contest. I designed the poster contest to meet the objective of out bringing the - [Mathematical Problem-Solving Frameworks of Different Mathematics-Anxiety Levels Students](https://merga.net.au/merga-publications/mathematical-problem-solving-frameworks-of-different-mathematics-anxiety-levels-students/) - Yeo Kai Kow JosephThis paper explores the problem-solving frameworks of 621 Secondary 2 students (13 to 14 years old). These students were asked to complete in writing the statement ‘When I am given a mathematics problem to solve, this is what I do…’. The data were coded under the four phases of problem solving which - [Graphs, Transformations, Rates of Change and Quadratic Context Variations](https://merga.net.au/merga-publications/graphs-transformations-rates-of-change-and-quadratic-context-variations/) - Karoline Afamasaga-Fuata’iThis paper presents a case study of a student who developed quadratic schemes by solving a contextual problem during a teaching experiment. Mary reflectively abstracted patterns from graphical transformations, critical points, rates of change and equations representing variations of a base context whilst interacting and negotiating meanings with the researcher. A multi-representational software assisted - [An Investigation of the Selection Process of Mathematically Gifted Students](https://merga.net.au/merga-publications/an-investigation-of-the-selection-process-of-mathematically-gifted-students/) - Kyunghwa Lee, Kyungmee Park and Jaehoon YimIn Korea, the gifted education appears to gain much popularity lately that it has become a ‘hot issue’ in the education circle. Unusual enthusiasm of Korean parents for education led them to take their children to a reputable centre for gifted education programs, which enormously increases the demand for - [“My Mom Thinks I Should be an Engineer’: Parental influences and Girls on Track for Math-Related Careers](https://merga.net.au/merga-publications/my-mom-thinks-i-should-be-an-engineer-parental-influences-and-girls-on-track-for-math-related-careers/) - Maria Droujkova, Sarah B. Berenson, Irena Rindos and Sue TombesDespite increasing girl retention in advanced high school mathematics programs, female college entrants disproportionately avoid math-related IT majors (National Academy of Engineering, 2002; National Research Council, 2001). Girls on Track (Berenson, 2004; Berenson, Vouk, & Robinson, 2002; Howe & Berenson, 2003), a longitudinal multi-institutional intervention program, - [Algebraic Thinking In The Numeracy Project: Year One Of A Three-Year Study](https://merga.net.au/merga-publications/algebraic-thinking-in-the-numeracy-project-year-one-of-a-three-year-study/) - Murray S. Britt and Kathryn C. Irwin Algebraic Thinking In The Numeracy Project: Year One Of A Three-Year Study - [The Mathematics Talk Of A Secondary School Teacher Of Mathematics And Physics](https://merga.net.au/merga-publications/the-mathematics-talk-of-a-secondary-school-teacher-of-mathematics-and-physics/) - Michelle L. W. Bower The Mathematics Talk Of A Secondary School Teacher Of Mathematics And Physics - [Teachers’ Preferences And Practices Regarding Values In Teaching Mathematics And Science](https://merga.net.au/merga-publications/teachers-preferences-and-practices-regarding-values-in-teaching-mathematics-and-science/) - Alan Bishop, Barbara Clarke, Debbie Corrigan and Dick Gunstone Teachers’ Preferences And Practices Regarding Values In Teaching Mathematics And Science - [Experienced And Novice Teachers’ Choice Of Examples](https://merga.net.au/merga-publications/experienced-and-novice-teachers-choice-of-examples/) - Chris Bills and Liz Bills Experienced And Novice Teachers’ Choice Of Examples - [It Depends On The Students: Influencing Teachers’ Beliefs About The Ends And Means Of Numeracy Teaching](https://merga.net.au/merga-publications/it-depends-on-the-students-influencing-teachers-beliefs-about-the-ends-and-means-of-numeracy-teaching/) - Kim Beswick It Depends On The Students: Influencing Teachers’ Beliefs About The Ends And Means Of Numeracy Teaching - [A New Scale For Monitoring Students’ Attitudes To Learning Mathematics With Technology (MTAS) ](https://merga.net.au/merga-publications/a-new-scale-for-monitoring-students-attitudes-to-learning-mathematics-with-technology-mtas/) - Anastasios Barkatsas A New Scale For Monitoring Students’ Attitudes To Learning Mathematics With Technology (MTAS) - [I Didn’t Know What I Didn’t Know: A Case Study Of Growth In Teacher Knowledge Within The Intermediate Numeracy Project](https://merga.net.au/merga-publications/i-didnt-know-what-i-didnt-know-a-case-study-of-growth-in-teacher-knowledge-within-the-intermediate-numeracy-project/) - Julie Anderson I Didn’t Know What I Didn’t Know: A Case Study Of Growth In Teacher Knowledge Within The Intermediate Numeracy Project - [Implementing Problem Solving In Mathematics Classrooms: What Support Do Teachers Want?](https://merga.net.au/merga-publications/implementing-problem-solving-in-mathematics-classrooms-what-support-do-teachers-want/) - Judy Anderson Implementing Problem Solving In Mathematics Classrooms: What Support Do Teachers Want? 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Watson Variation And Expectation As Foundations For The Chance And Data Curriculum - [The Impact Of Mathematics Education Reform In New Zealand: Taking Children?S Views Into Account](https://merga.net.au/merga-publications/the-impact-of-mathematics-education-reform-in-new-zealand-taking-childrens-views-into-account/) - Jenny Young-Loveridge The Impact Of Mathematics Education Reform In New Zealand: Taking Children?S Views Into Account - [Essential Complementarities: Arguing For An Integrative Approach To Research In Mathematics Classrooms](https://merga.net.au/merga-publications/essential-complementarities-arguing-for-an-integrative-approach-to-research-in-mathematics-classrooms/) - David Clarke Essential Complementarities: Arguing For An Integrative Approach To Research In Mathematics Classrooms - [Judges And Reviewers For MERGA28](https://merga.net.au/merga-publications/judges-and-reviewers-for-merga28/) - Judges And Reviewers For MERGA28 - [Preface](https://merga.net.au/merga-publications/preface-11/) - Colleen Vale and Philip Clarkson Preface - [Table Of Contents](https://merga.net.au/merga-publications/table-of-contents-3/) - MERGA 2005 Conference Proceedings Table Of Contents - [Building Connections: Research, Theory And Practice – MERGA28](https://merga.net.au/merga-publications/building-connections-research-theory-and-practice-merga28/) - Editors: Philip Clarkson, Ann Downton, Donna Gronn, Marj Horne,Andrea McDonough, Robyn Pierce, Anne Roche Building Connections: Research, Theory And Practice – MERGA28 - [Understandings Of The Implications Of The Treaty Of Waitangi In Mathematics Programs](https://merga.net.au/merga-publications/understandings-of-the-implications-of-the-treaty-of-waitangi-in-mathematics-programs/) - Robin Averill, Dayle Anderson, Herewini Easton and Anne Hynds Understandings Of The Implications Of The Treaty Of Waitangi In Mathematics Programs - [Towards A Model Of Social Justice In Mathematics Education And Its Application To Critique Of International Collaborations](https://merga.net.au/merga-publications/towards-a-model-of-social-justice-in-mathematics-education-and-its-application-to-critique-of-international-collaborations/) - Bill Atweh Towards A Model Of Social Justice In Mathematics Education And Its Application To Critique Of International Collaborations - [The Influence Of Perceived Constraints On Teachers’ Problem-Solving Beliefs And Practices](https://merga.net.au/merga-publications/the-influence-of-perceived-constraints-on-teachers-problem-solving-beliefs-and-practices/) - Judy Anderson, Peter Sullivan and Paul White The Influence Of Perceived Constraints On Teachers’ Problem-Solving Beliefs And Practices - [A Novice Teacher’s Conception Of The Crucial Determinants Of His Teaching Of Beginning Algebra](https://merga.net.au/merga-publications/a-novice-teachers-conception-of-the-crucial-determinants-of-his-teaching-of-beginning-algebra/) - Cecilia Agudelo-Valderrama A Novice Teacher’s Conception Of The Crucial Determinants Of His Teaching Of Beginning Algebra - [Operating With Decimal Fractions As A Part-Whole Concept](https://merga.net.au/merga-publications/operating-with-decimal-fractions-as-a-part-whole-concept/) - Kathryn C Irwin and Murray S. 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English and Helen M. Doerr Learning Through Interacting With Students’ Ways Of Thinking - [Mathematical Modelling In The Primary School](https://merga.net.au/merga-publications/mathematical-modelling-in-the-primary-school/) - Lyn D. English Mathematical Modelling In The Primary School - [Two Pathways To Multiplicative Thinking](https://merga.net.au/merga-publications/two-pathways-to-multiplicative-thinking/) - Fiona Ell, Kay Irwin and Stuart McNaughton Two Pathways To Multiplicative Thinking - [Teachers’ Characteristics: One Lesson ─ Two Learning Environments](https://merga.net.au/merga-publications/teachers-characteristics-one-lesson-─-two-learning-environments/) - Carmel Diezmann Teachers’ Characteristics: One Lesson ─ Two Learning Environments - [Algebraic Thinking In Geometry At High School Level: Students’ Use Of Variables And Unknowns](https://merga.net.au/merga-publications/algebraic-thinking-in-geometry-at-high-school-level-students-use-of-variables-and-unknowns/) - Jaguthsing Dindyal Algebraic Thinking In Geometry At High School Level: Students’ Use Of Variables And Unknowns - [Numeracy Enacted: Preschool Families Conceptions Of Their Children’s Engagements With Numeracy](https://merga.net.au/merga-publications/numeracy-enacted-preschool-families-conceptions-of-their-childrens-engagements-with-numeracy/) - Barbara Clarke and Jill Robbins Numeracy Enacted: Preschool Families Conceptions Of Their Children’s Engagements With Numeracy - [Tools For Transnumeration: Early Stages In The Art Of Data Representation](https://merga.net.au/merga-publications/tools-for-transnumeration-early-stages-in-the-art-of-data-representation/) - Helen Chick Tools For Transnumeration: Early Stages In The Art Of Data Representation - [Perception Of Mental Computation Practice: Reports From Middle School Teachers And Students](https://merga.net.au/merga-publications/perception-of-mental-computation-practice-reports-from-middle-school-teachers-and-students/) - Annaliese Caney Perception Of Mental Computation Practice: Reports From Middle School Teachers And Students - [Primary Students’ Understanding Of Proof](https://merga.net.au/merga-publications/primary-students-understanding-of-proof/) - Rosemary Callingham, Judith Falle and Garry Clark Primary Students’ Understanding Of Proof - [Shaping Understanding: How Does Investigating In A Spreadsheet Environment Affect The Conversations Of Initial Training Students Doing Mathematics?](https://merga.net.au/merga-publications/shaping-understanding-how-does-investigating-in-a-spreadsheet-environment-affect-the-conversations-of-initial-training-students-doing-mathematics/) - Nigel Calder Shaping Understanding: How Does Investigating In A Spreadsheet Environment Affect The Conversations Of Initial Training Students Doing Mathematics? 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Smith Learning In A Community Of Inquirers: Developing An Inquiry Stance - [Classics Counts Over Calculus: A Case Study](https://merga.net.au/merga-publications/classics-counts-over-calculus-a-case-study/) - Fiona Shannon Classics Counts Over Calculus: A Case Study - [Shifting The Lens Of Inquiry Into The Socialisation Of Mathematics Teachers: Nature Of Value Differences](https://merga.net.au/merga-publications/shifting-the-lens-of-inquiry-into-the-socialisation-of-mathematics-teachers-nature-of-value-differences/) - Wee Tiong Seah Shifting The Lens Of Inquiry Into The Socialisation Of Mathematics Teachers: Nature Of Value Differences - [Structured Peer Interactions To Enhance Learning In Mathematics](https://merga.net.au/merga-publications/structured-peer-interactions-to-enhance-learning-in-mathematics/) - Kathryn Rowe and Brenda Bicknell Structured Peer Interactions To Enhance Learning In Mathematics - [When Does Successful Comparison Of Decimals Reflect Conceptual Understanding?](https://merga.net.au/merga-publications/when-does-successful-comparison-of-decimals-reflect-conceptual-understanding/) - Anne Roche and Doug Clarke When Does Successful Comparison Of Decimals Reflect Conceptual Understanding? - [Investigating Parental Attitudes And Beliefs In Mathematics Education](https://merga.net.au/merga-publications/investigating-parental-attitudes-and-beliefs-in-mathematics-education/) - Ruth Pritchard Investigating Parental Attitudes And Beliefs In Mathematics Education - [Numbers And Maps: The Dynamic Interaction Of Internal Meanings And External Resources In Use](https://merga.net.au/merga-publications/numbers-and-maps-the-dynamic-interaction-of-internal-meanings-and-external-resources-in-use/) - Dave Pratt and Amanda Simpson Numbers And Maps: The Dynamic Interaction Of Internal Meanings And External Resources In Use - [CAS: Student Engagement Requires Unambiguous Advantages](https://merga.net.au/merga-publications/cas-student-engagement-requires-unambiguous-advantages/) - Robyn Pierce, Sandra Herbert and Jason Giri CAS: Student Engagement Requires Unambiguous Advantages - [Fermi Problems In Primary Mathematics Classrooms: Pupils’ Interactive Modelling Processes](https://merga.net.au/merga-publications/fermi-problems-in-primary-mathematics-classrooms-pupils-interactive-modelling-processes/) - Andrea Peter-Koop Fermi Problems In Primary Mathematics Classrooms: Pupils’ Interactive Modelling Processes - [Learning Approaches In University Calculus: The Effects Of An Innovative Assessment Program](https://merga.net.au/merga-publications/learning-approaches-in-university-calculus-the-effects-of-an-innovative-assessment-program/) - Marina Penglase Learning Approaches In University Calculus: The Effects Of An Innovative Assessment Program - [Addressing Changing Assessment Agendas: Experiences Of Secondary Mathematics Teachers In Rural NSW](https://merga.net.au/merga-publications/addressing-changing-assessment-agendas-experiences-of-secondary-mathematics-teachers-in-rural-nsw/) - John Pegg and Debra Panizzon Addressing Changing Assessment Agendas: Experiences Of Secondary Mathematics Teachers In Rural NSW - [Why You Have To Probe To Discover What Year 8 Students Really Think About Fractions](https://merga.net.au/merga-publications/why-you-have-to-probe-to-discover-what-year-8-students-really-think-about-fractions/) - Catherine Pearn and Max Stephens Why You Have To Probe To Discover What Year 8 Students Really Think About Fractions - [School Mathematical Achievement As A Predictor Of Success In A First Year University Mathematics Foundations Unit](https://merga.net.au/merga-publications/school-mathematical-achievement-as-a-predictor-of-success-in-a-first-year-university-mathematics-foundations-unit/) - Robert Peard School Mathematical Achievement As A Predictor Of Success In A First Year University Mathematics Foundations Unit - [Using Lego Construction To Develop Ratio Understanding](https://merga.net.au/merga-publications/using-lego-construction-to-develop-ratio-understanding/) - Stephen Norton Using Lego Construction To Develop Ratio Understanding - [Primary Teachers’ Beliefs And Practices With Respect To Compulsory Numeracy Testing](https://merga.net.au/merga-publications/primary-teachers-beliefs-and-practices-with-respect-to-compulsory-numeracy-testing/) - Steven Nisbet and Peter Grimbeek Primary Teachers’ Beliefs And Practices With Respect To Compulsory Numeracy Testing - [Social Justice And The Jazz Metaphor](https://merga.net.au/merga-publications/social-justice-and-the-jazz-metaphor/) - Jim Neyland Social Justice And The Jazz Metaphor - [Effortless Mastery And The Jazz Metaphor](https://merga.net.au/merga-publications/effortless-mastery-and-the-jazz-metaphor/) - Jim Neyland Effortless Mastery And The Jazz Metaphor - [The Numeracy Research In NSW Primary Schools Project 2001-2003](https://merga.net.au/merga-publications/the-numeracy-research-in-nsw-primary-schools-project-2001-2003/) - Joanne Mulligan and Susan Busatto The Numeracy Research In NSW Primary Schools Project 2001-2003 - [Alternative Learning Trajectories](https://merga.net.au/merga-publications/alternative-learning-trajectories/) - Judith Mousley, Peter Sullivan and Robyn Zevenbergen Alternative Learning Trajectories - [When Is Three Quarters Not Three Quarters? 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Listening For Conceptual Understanding In Children’s Explanations In A Fraction Interview - [Authentic Artefacts: Influencing Practice And Supporting Problem Solving In The Mathematics Classroom](https://merga.net.au/merga-publications/authentic-artefacts-influencing-practice-and-supporting-problem-solving-in-the-mathematics-classroom/) - Tom Lowrie Authentic Artefacts: Influencing Practice And Supporting Problem Solving In The Mathematics Classroom - [There Is More To Learning Mathematics Than Mathematics: Attributional Beliefs And Motivation Of Maori And Pacific Island Students](https://merga.net.au/merga-publications/there-is-more-to-learning-mathematics-than-mathematics-attributional-beliefs-and-motivation-of-maori-and-pacific-island-students/) - Viliami Finau Latu There Is More To Learning Mathematics Than Mathematics: Attributional Beliefs And Motivation Of Maori And Pacific Island Students - [How Binary Thinking In School Mathematics Masks And Maintains Its Coercive And Conservative Effects: A Poststructuralist Analysis](https://merga.net.au/merga-publications/how-binary-thinking-in-school-mathematics-masks-and-maintains-its-coercive-and-conservative-effects-a-poststructuralist-analysis/) - Mary Klein and Linda Saunders How Binary Thinking In School Mathematics Masks And Maintains Its Coercive And Conservative Effects: A Poststructuralist Analysis - [Preservice Teacher Education In Mathematics: Thinking Innovatively About Innovation.](https://merga.net.au/merga-publications/preservice-teacher-education-in-mathematics-thinking-innovatively-about-innovation/) - Mary Klein Preservice Teacher Education In Mathematics: Thinking Innovatively About Innovation. - [Professional Development Of Mathematics Teachers In Low Socio-Economic Secondary Schools In New Zealand](https://merga.net.au/merga-publications/professional-development-of-mathematics-teachers-in-low-socio-economic-secondary-schools-in-new-zealand/) - Barbara Kensington-Miller Professional Development Of Mathematics Teachers In Low Socio-Economic Secondary Schools In New Zealand - [Numeracy Practices In Contemporary Work: Changing Approaches](https://merga.net.au/merga-publications/numeracy-practices-in-contemporary-work-changing-approaches/) - Robyn Zevenbergen and Kelly Zevenbergen Numeracy Practices In Contemporary Work: Changing Approaches - [Explaining Thai And Japanese Student Errors In Solving Equation Problems: The Role Of The Textbook](https://merga.net.au/merga-publications/explaining-thai-and-japanese-student-errors-in-solving-equation-problems-the-role-of-the-textbook/) - Duangmanee Ya-amphan and Alan Bishop Explaining Thai And Japanese Student Errors In Solving Equation Problems: The Role Of The Textbook - [Background Knowledge And Connectedness: The Case Of Mathematics](https://merga.net.au/merga-publications/background-knowledge-and-connectedness-the-case-of-mathematics/) - Paul White and Michael Mitchelmore Background Knowledge And Connectedness: The Case Of Mathematics - [Beliefs About Chance In The Middle Years: Longitudinal Change](https://merga.net.au/merga-publications/beliefs-about-chance-in-the-middle-years-longitudinal-change/) - Jane M. Watson, Annaliese Caney and Ben A. Kelly Beliefs About Chance In The Middle Years: Longitudinal Change - [A Two-Year Study Of Students’ Appreciation Of Variation In The Chance And Data Curriculum](https://merga.net.au/merga-publications/a-two-year-study-of-students-appreciation-of-variation-in-the-chance-and-data-curriculum/) - Jane M. Watson and Ben A. 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Wotley Changing Immigration Patterns And Teacher Perceptions Of Responses In Mathematics Classroom Education In The Last Fifty Years - [Collaborative Problem Solving And Discovered Complexity](https://merga.net.au/merga-publications/collaborative-problem-solving-and-discovered-complexity/) - Gaye Williams Collaborative Problem Solving And Discovered Complexity - [The Use Of Teacher Action Theories In The Articulation Of Practice: The Use Of Stencils In Upper NSW Primary Classrooms](https://merga.net.au/merga-publications/the-use-of-teacher-action-theories-in-the-articulation-of-practice-the-use-of-stencils-in-upper-nsw-primary-classrooms/) - Allan White The Use Of Teacher Action Theories In The Articulation Of Practice: The Use Of Stencils In Upper NSW Primary Classrooms - [Intuition Versus Mathematics: The Case Of The Hospital Problem](https://merga.net.au/merga-publications/intuition-versus-mathematics-the-case-of-the-hospital-problem/) - Jane Watson Intuition Versus Mathematics: The Case Of The Hospital Problem - [Teachers, Students And Research: One Possibility For Teaching Early Numeracy](https://merga.net.au/merga-publications/teachers-students-and-research-one-possibility-for-teaching-early-numeracy/) - Philip Clarkson, Peter Gould & Robert (Bob )Wright Teachers, Students And Research: One Possibility For Teaching Early Numeracy - [Is There More To Numeracy Than Meets The Eye? Stories Of Socialisation And Subjectification In School Mathematics](https://merga.net.au/merga-publications/is-there-more-to-numeracy-than-meets-the-eye-stories-of-socialisation-and-subjectification-in-school-mathematics/) - Mary Klein Is There More To Numeracy Than Meets The Eye? Stories Of Socialisation And Subjectification In School Mathematics - [Emergence Of Mathematical (In)Competence And Identity](https://merga.net.au/merga-publications/emergence-of-mathematical-incompetence-and-identity/) - Pat Forster & Peter Taylor Emergence Of Mathematical (In)Competence And Identity - [Changing The Professional Knowledge Of Teachers](https://merga.net.au/merga-publications/changing-the-professional-knowledge-of-teachers/) - lanette Bobis & Peter Gould Changing The Professional Knowledge Of Teachers - [Collaborative Problem Solving In Senior Secondary Mathematics Classrooms](https://merga.net.au/merga-publications/collaborative-problem-solving-in-senior-secondary-mathematics-classrooms/) - Merrilyn Goos Collaborative Problem Solving In Senior Secondary Mathematics Classrooms - [ Looking Backwards, Looking Forwards, And Looking For Direction](https://merga.net.au/merga-publications/looking-backwards-looking-forwards-and-looking-for-direction/) - Andy Begg Looking Backwards, Looking Forwards, And Looking For Direction - [ Bridging Practices: Intertwining Content And Pedagogy In Teaching And Learning To Teach](https://merga.net.au/merga-publications/bridging-practices-intertwining-content-and-pedagogy-in-teaching-and-learning-to-teach/) - Deborah Loewenberg Ball Bridging Practices: Intertwining Content And Pedagogy In Teaching And Learning To Teach - [Mental Effort And Errors In Bracket Expansion Tasks](https://merga.net.au/merga-publications/mental-effort-and-errors-in-bracket-expansion-tasks/) - Paul Ayres Mental Effort And Errors In Bracket Expansion Tasks - [Bridging The Gap: A Challenge For The Dual Community](https://merga.net.au/merga-publications/bridging-the-gap-a-challenge-for-the-dual-community/) - John A. Malone Bridging The Gap: A Challenge For The Dual Community - [](https://merga.net.au/merga-publications/7146/) - Student Beliefs & Their Impact on Participation in Mathematics in the Middle School Robyn Turner-HarrisonThis round table discussion will focus on a proposed study of middle school children’s beliefs about their participation in mathematics classrooms. In the study the motivation of students when undertaking mathematics tasks, and the influence of motivation on strategies for coping - [Professional Development for Mathematics Education Researchers](https://merga.net.au/merga-publications/professional-development-for-mathematics-education-researchers/) - Helen J. ForgaszAs mathematics educators, we frequently speak of the professional development needs of mathematics teachers. Many of us run professional development sessions or courses. Others of us conduct research and in our scholarly writings reflect on the implications of our findings on teacher professional development. Less often do we think about our own professional - [Numeracy Equipment and Year 3 Children: Bright, Shiny Stuff, or Supporting the Development of Part-whole Thinking?](https://merga.net.au/merga-publications/numeracy-equipment-and-year-3-children-bright-shiny-stuff-or-supporting-the-development-of-part-whole-thinking/) - Linda BonneNew Zealand teachers’ use of equipment has increased as a result of their participation in the Numeracy Development Projects. However, the equipment choices of the four teachers interviewed in this study were not strongly consistent with the equipment use recommended in the NDP materials. In the teachers’ reasons for equipment choices, the surface features - [ Collective Mathematical Understanding as Improvisation](https://merga.net.au/merga-publications/collective-mathematical-understanding-as-improvisation/) - Lyndon Martin & Jo TowersThis research is concerned with the nature of the growth of mathematical understanding, and more specifically with how a group of learners can develop a collective understanding for a mathematical concept. We seek to characterise collective mathematical understanding as a creative and emergent improvisational process, through drawing on theoretical perspectives from - [](https://merga.net.au/merga-publications/7137/) - Developing a Framework of Growth Points in Secondary Students’ Understanding of Function Erlina Ronda, Doug Clarke, Marj HorneIt is widely accepted that teachers’ knowledge of students’ thinking in acquiring concepts and procedures in a specific mathematical domain can be a powerful tool in informing instruction. The framework of growth points in the understanding of function - [](https://merga.net.au/merga-publications/7136/) - Classroom and Learning Factors Preferred by Year 9 Students in the Teaching and Learning of Mathematics Barbara TadichThis report describes a recent case study research which provides evidence that student learning, and student achievement can be accomplished by teachers working with a greater knowledge of student development. The key elements investigated in the study include - [](https://merga.net.au/merga-publications/7135/) - A Student’s Strategies in Deriving Quartic Modelling Functions Using Rates of Changes Karoline Afamasaga-Fuata’tThis paper reports findings from a research study which examined students’ strategies for deriving modelling functions from numerical patterns with rates of changes in contrast to the equation-graph matching approach prevalent in schools. Students involved were final year mathematics undergraduate students some - [](https://merga.net.au/merga-publications/7142/) - The Predictive Factors of Classroom Learning Environments on High School Students’ Mathematics Anxiety Bret A. TaylorThe purpose of this research was to examine the possible associations between the perceived classroom environment of high school students in Southern California and the level of mathematics anxiety that they possess. Data were gathered using a revised version of - [](https://merga.net.au/merga-publications/7141/) - Questions in Primary Mathematics Classrooms Colleen ValeIn this paper data gathered from teachers who participated in a professional development program designed to improve the quality of questioning in mathematics classrooms are presented. Teachers from five primary schools participated in the program. It was designed by the teachers and funded as a Quality Teacher Project. At - [](https://merga.net.au/merga-publications/7140/) - Professional Learning in the Teaching of Area Diane McPhailSeventeen Year 1 and Year 2 teachers participated in a professional development program focusing on the teaching of area. The teachers were offered three different levels of consultancy support. A comparison of results from the students and teachers indicates that the success of the teacher professional development, - [](https://merga.net.au/merga-publications/7139/) - Persisting Teen/ty Confusions as an Indicator of a Specific Learning Difficulty in Mathematics: Implications for Assessment and Instruction Maureen FinnaneA specific difficulty in memorizing basic arithmetic facts has been well established as a persisting problem for students with learning difficulties in mathematics. Theories for underlying causes range from low working memory capacity to a failure - [](https://merga.net.au/merga-publications/7138/) - Developing a Framework of Growth Points in Secondary Students’ Understanding of Function Erlina Ronda, Doug Clarke, Marj HorneIt is widely accepted that teachers’ knowledge of students’ thinking in acquiring concepts and procedures in a specific mathematical domain can be a powerful tool in informing instruction. The framework of growth points in the understanding of function - [Students’ Knowledge of Rates: A Case for a Foundation Year Program in South Africa](https://merga.net.au/merga-publications/students-knowledge-of-rates-a-case-for-a-foundation-year-program-in-south-africa/) - Kabelo Chuene - [Investigating the Concerns of Preservice Secondary Mathematics Teachers Through Critical Incident Reflective Journals](https://merga.net.au/merga-publications/investigating-the-concerns-of-preservice-secondary-mathematics-teachers-through-critical-incident-reflective-journals/) - Joanne E. Goodell Investigating the Concerns of Preservice Secondary Mathematics Teachers Through Critical Incident Reflective Journals - [Developing Prospective Primary Teachers’ Personal Content Knowledge of Mathematics](https://merga.net.au/merga-publications/developing-prospective-primary-teachers-personal-content-knowledge-of-mathematics/) - Roger Harvey Developing Prospective Primary Teachers’ Personal Content Knowledge of Mathematics - [Trigonometric Graph and the Real World: The Technical Students’ Experience](https://merga.net.au/merga-publications/trigonometric-graph-and-the-real-world-the-technical-students-experience/) - Madihah Khalid - [Ethnomathematical Ideas in the Curriculum Shehenaz Adam](https://merga.net.au/merga-publications/ethnomathematical-ideas-in-the-curriculum-shehenaz-adam/) - Shehenaz Adam Ethnomathematical Ideas in the Curriculum - [Ethnomathematical Ideas in the Curriculum](https://merga.net.au/merga-publications/ethnomathematical-ideas-in-the-curriculum/) - Shehenaz Adam Ethnomathematical Ideas in the Curriculum - [Searching for Mathematical Ideas in Stone Walls](https://merga.net.au/merga-publications/searching-for-mathematical-ideas-in-stone-walls/) - Wilfredo Alangui Searching for Mathematical Ideas in Stone Walls - [Like Topsy, “it just growed”? Or did it? The Ongoing Development of a Strategy Teaching Model](https://merga.net.au/merga-publications/like-topsy-it-just-growed-or-did-it-the-ongoing-development-of-a-strategy-teaching-model/) - Gregor Lomas The development of a strategy teaching model associated with the New Zealand Numeracy Development Projects is presented and examined against a Design Research framework. The development while informed by literature, multiple forms of feedback from practitioners, and a clear intent to make it workable for teachers, was a responsive and organic process. It - [ Implementing Beliefs, Knowledge and Practices: A Beginning Teacher’s StOlY](https://merga.net.au/merga-publications/implementing-beliefs-knowledge-and-practices-a-beginning-teachers-stoly/) - Shame Aldridge & Janette Bobis Implementing Beliefs, Knowledge and Practices: A Beginning Teacher’s StOlY - [Mathematics and English Teachers’ Views and Expectations of iPads: A Pilot Study](https://merga.net.au/merga-publications/mathematics-and-english-teachers-views-and-expectations-of-ipads-a-pilot-study/) - Janelle Hill As a new technology, the uptake of iPads in Australian schools is increasing. As part of a current case study, numeracy and literacy teachers from an Independent school in Victoria, Australia in which iPads had been introduced were interviewed and their views on teaching with iPads were explored. A number of concerns arose - [Teachers’ Choice of Tasks: A Window Into Beliefs About the Role of Problem Solving in Learning Mathematics](https://merga.net.au/merga-publications/teachers-choice-of-tasks-a-window-into-beliefs-about-the-role-of-problem-solving-in-learning-mathematics/) - Judy Anderson Teachers’ Choice of Tasks: A Window Into Beliefs About the Role of Problem Solving in Learning Mathematics - [Pizza for Dinner: “How Much?” or “How Many?”](https://merga.net.au/merga-publications/pizza-for-dinner-how-much-or-how-many/) - Glenda Anthony & Margaret Walshaw Pizza for Dinner: “How Much?” or “How Many?” - [Bicultural Perspectives in a Pre-service Mathematics Education Course](https://merga.net.au/merga-publications/bicultural-perspectives-in-a-pre-service-mathematics-education-course/) - Robin Averill & Pӓnia Te Maro Bicultural Perspectives in a Pre-service Mathematics Education Course - [A Window Into Mathematics Communities of Practice in Australia and New Zealand](https://merga.net.au/merga-publications/a-window-into-mathematics-communities-of-practice-in-australia-and-new-zealand/) - Jack Bana & Margaret Walshaw A Window Into Mathematics Communities of Practice in Australia and New Zealand - [Secondary Mathematics Teachers’ Beliefs About Assessment and Factors That Influence These Beliefs](https://merga.net.au/merga-publications/secondary-mathematics-teachers-beliefs-about-assessment-and-factors-that-influence-these-beliefs/) - Anastasios Barkatsas & John Malone Secondary Mathematics Teachers’ Beliefs About Assessment and Factors That Influence These Beliefs - [ Investigations Into the Introduction of Logarithm Tables in Victoria](https://merga.net.au/merga-publications/investigations-into-the-introduction-of-logarithm-tables-in-victoria/) - Chris Barling Investigations Into the Introduction of Logarithm Tables in Victoria - [Patterns of Participation in Small-Group Collaborative Work](https://merga.net.au/merga-publications/patterns-of-participation-in-small-group-collaborative-work/) - Mary Barnes Patterns of Participation in Small-Group Collaborative Work - [Ability Grouping and the Construction of Different Types of Learner in Mathematics Classrooms](https://merga.net.au/merga-publications/ability-grouping-and-the-construction-of-different-types-of-learner-in-mathematics-classrooms/) - Hannah Bartholomew Ability Grouping and the Construction of Different Types of Learner in Mathematics Classrooms - [The Mathematics Enhancement Project: Using the Concepts of Cultural Conflict, Critical Mathematics Education, and Didactic Contract](https://merga.net.au/merga-publications/the-mathematics-enhancement-project-using-the-concepts-of-cultural-conflict-critical-mathematics-education-and-didactic-contract/) - Bill Barton The Mathematics Enhancement Project: Using the Concepts of Cultural Conflict, Critical Mathematics Education, and Didactic Contract - [Curriculum: Developing a Systems Theory Perspective](https://merga.net.au/merga-publications/curriculum-developing-a-systems-theory-perspective/) - Andy Begg Curriculum: Developing a Systems Theory Perspective - [ Accounting for the Contextual Nature of Teachers’ Beliefs in Considering Their Relationship to Practice](https://merga.net.au/merga-publications/accounting-for-the-contextual-nature-of-teachers-beliefs-in-considering-their-relationship-to-practice/) - Kim Beswick Accounting for the Contextual Nature of Teachers’ Beliefs in Considering Their Relationship to Practice - [Children’s Perspectives on Mathematics and Game Playing](https://merga.net.au/merga-publications/childrens-perspectives-on-mathematics-and-game-playing/) - Leicha Bragg Children’s Perspectives on Mathematics and Game Playing - [Defining Moments in Determining a Complete Graph in a Graphing Calculator Teaching and Learning Environment](https://merga.net.au/merga-publications/defining-moments-in-determining-a-complete-graph-in-a-graphing-calculator-teaching-and-learning-environment/) - Jill Brown Defining Moments in Determining a Complete Graph in a Graphing Calculator Teaching and Learning Environment - [Subject Knowledge in Pre-service Teacher Education](https://merga.net.au/merga-publications/subject-knowledge-in-pre-service-teacher-education/) - Tim Burgess & Brenda Bicknell - [ A Comparison Among Three Different Approaches to Mathematics Assessment](https://merga.net.au/merga-publications/a-comparison-among-three-different-approaches-to-mathematics-assessment/) - Rosemary Callingham A Comparison Among Three Different Approaches to Mathematics Assessment - [ The Positioning of Mathematics in an Environmental Thematic Curriculum](https://merga.net.au/merga-publications/the-positioning-of-mathematics-in-an-environmental-thematic-curriculum/) - Coral Campbell The Positioning of Mathematics in an Environmental Thematic Curriculum - [Development of a Web-Based Learning Tool to Enhance Formal Deductive Thinking in Geometry](https://merga.net.au/merga-publications/development-of-a-web-based-learning-tool-to-enhance-formal-deductive-thinking-in-geometry/) - Madduma Bandara Ekanayake & Christine Brown & Development of a Web-Based Learning Tool to Enhance Formal Deductive Thinking in Geometry - [More Perspectives on the Impact of Globalisation on Mathematics Education in Higher Education in Australasia](https://merga.net.au/merga-publications/more-perspectives-on-the-impact-of-globalisation-on-mathematics-education-in-higher-education-in-australasia/) - Philip Clarkson & Bill Atweh More Perspectives on the Impact of Globalisation on Mathematics Education in Higher Education in Australasia - [Addressing the Challenge of Legitimate International Comparisons: Lesson Structure in Australia and the USA](https://merga.net.au/merga-publications/addressing-the-challenge-of-legitimate-international-comparisons-lesson-structure-in-australia-and-the-usa/) - David Clarke & Carmel Mesiti Addressing the Challenge of Legitimate International Comparisons: Lesson Structure in Australia and the USA - [Similarity and Difference in International Comparative Research in Mathematics Education](https://merga.net.au/merga-publications/similarity-and-difference-in-international-comparative-research-in-mathematics-education/) - David Clarke Similarity and Difference in International Comparative Research in Mathematics Education - [Maps That Come Alive: Numeracy Engagement Across Multimodal Texts](https://merga.net.au/merga-publications/maps-that-come-alive-numeracy-engagement-across-multimodal-texts/) - Susan Clancy & Tom Lowrie Maps That Come Alive: Numeracy Engagement Across Multimodal Texts - [Transnumeration and the Art of Data Representation](https://merga.net.au/merga-publications/transnumeration-and-the-art-of-data-representation/) - Helen Chick Transnumeration and the Art of Data Representation - [Copying on a Graphics Calculator and Implications for Mathematical Understanding](https://merga.net.au/merga-publications/copying-on-a-graphics-calculator-and-implications-for-mathematical-understanding/) - Patricia A. Forster Copying on a Graphics Calculator and Implications for Mathematical Understanding - [Re-visioning Curriculum: Towards Communicative Competence](https://merga.net.au/merga-publications/re-visioning-curriculum-towards-communicative-competence/) - Patricia A. Forster Re-visioning Curriculum: Towards Communicative Competence - [Assessment Literacy among Primary School Mathematics Teachers](https://merga.net.au/merga-publications/assessment-literacy-among-primary-school-mathematics-teachers/) - Hazel Tan, Ng Kit Ee Dawn, & Cheng Lu Pien Assessment has been perceived as a key to educational reforms. Teachers often mediate their curriculum interpretations and pedagogy based on their understanding of current assessment formats. In-depth research into the existing beliefs and assessment literacy of mathematics teachers has implications for the review of curriculum-pedagogy-assessment - [What does Ability Mean in Mathematics Learning?](https://merga.net.au/merga-publications/what-does-ability-mean-in-mathematics-learning/) - Rose Golds Cross-grouping (or streaming) in mathematics requires students to be grouped by ability. Schools differ as to whether there is a fixed or flexible view of ability (Wiliam & Bartholomew, 2004). The notion of a ‘fixed ability’ jeopardises the education of many when these decisions are frequently made very early in a child’s educational - [Gender and Approaches to Studying Tertiary Mathematics](https://merga.net.au/merga-publications/gender-and-approaches-to-studying-tertiary-mathematics/) - Mary-Ruth Freislich & Alan Bowen-James Gender and Approaches to Studying Tertiary Mathematics - [Using Mathematics Teaching Portfolios to Empower Pre-Service Primary Teachers](https://merga.net.au/merga-publications/using-mathematics-teaching-portfolios-to-empower-pre-service-primary-teachers/) - Sandra Frid & Len Sparrow Using Mathematics Teaching Portfolios to Empower Pre-Service Primary Teachers - [Mathematics as Conversation: A Model for a Mathematics Retrieval Programme Conducted With Small Groups](https://merga.net.au/merga-publications/mathematics-as-conversation-a-model-for-a-mathematics-retrieval-programme-conducted-with-small-groups/) - Judith Falle Mathematics as Conversation: A Model for a Mathematics Retrieval Programme Conducted With Small Groups - [The Victorian Curriculum and Assessment Authority (VCAA) Mathematical Methods (CAS) Pilot Study Examinations, 2002](https://merga.net.au/merga-publications/the-victorian-curriculum-and-assessment-authority-vcaa-mathematical-methods-cas-pilot-study-examinations-2002/) - Michael Evans & Pam Norton & David Leigh-Lancaster The Victorian Curriculum and Assessment Authority (VCAA) Mathematical Methods (CAS) Pilot Study Examinations, 2002 - [Designing Assessment Using the MATH Taxonomy](https://merga.net.au/merga-publications/designing-assessment-using-the-math-taxonomy/) - Sabita M. D’Souza & Leigh N. Wood Designing Assessment Using the MATH Taxonomy - [Mathematics Learning and Exceptionality through a Complexity Lens](https://merga.net.au/merga-publications/mathematics-learning-and-exceptionality-through-a-complexity-lens/) - Rumi Rumiati & Geoff Woolcott Mathematics learning can be seen as a multi-factored, human-designed system and complexity theory appears to be useful in explaining phenomena within this system (Davis, Sumara & Luce-Kapler, 2008). The poster proposes a model for understanding and interpreting complex interactions in the mathematics learning of exceptional students. The model uses approaches - [Julia’s Journey: Teacher Research in the Primary Mathematics Classroom](https://merga.net.au/merga-publications/julias-journey-teacher-research-in-the-primary-mathematics-classroom/) - Stephen Keast - [The Development of Multiplicative Thinking in Young Children](https://merga.net.au/merga-publications/the-development-of-multiplicative-thinking-in-young-children/) - Lorraine Jacob & Sue Willis The Development of Multiplicative Thinking in Young Children - [Percentages: A Foundation for Supporting Students’ Understanding of Decimals](https://merga.net.au/merga-publications/percentages-a-foundation-for-supporting-students-understanding-of-decimals/) - Roberta Hunter & Glenda Anthony Percentages: A Foundation for Supporting Students’ Understanding of Decimals - [Constructing and Using a Personal Numeracy Teaching Model in a Classroom Setting](https://merga.net.au/merga-publications/constructing-and-using-a-personal-numeracy-teaching-model-in-a-classroom-setting/) - Peter Hughes & Lynne Petersen Constructing and Using a Personal Numeracy Teaching Model in a Classroom Setting - [Mathematics in Indigenous Contexts: A Case Study](https://merga.net.au/merga-publications/mathematics-in-indigenous-contexts-a-case-study/) - Peter Howard & Bob Perry & Kevin Lowe & Suzanne Ziems & Anthony McKnight Mathematics in Indigenous Contexts: A Case Study - [ Designing a Discussion: Teacher as Designer](https://merga.net.au/merga-publications/designing-a-discussion-teacher-as-designer/) - Margret A. Hjalmarson Designing a Discussion: Teacher as Designer - [Mental Computation: Refining the Cognitive Frameworks](https://merga.net.au/merga-publications/mental-computation-refining-the-cognitive-frameworks/) - Ann M. Heirdsfield Mental Computation: Refining the Cognitive Frameworks - [Facilitating Affective Change With Preservice Primary Teachers](https://merga.net.au/merga-publications/facilitating-affective-change-with-preservice-primary-teachers/) - Peter Grootenboer Facilitating Affective Change With Preservice Primary Teachers - [ Student Perspectives on Equation: Constructing the Mathematical Object](https://merga.net.au/merga-publications/student-perspectives-on-equation-constructing-the-mathematical-object/) - David Godfrey & Michael Thomas Student Perspectives on Equation: Constructing the Mathematical Object - [Difficulties Children Face When Learning to Count](https://merga.net.au/merga-publications/difficulties-children-face-when-learning-to-count/) - Ann Gervasoni Difficulties Children Face When Learning to Count - [What Students Say: Analysis of Structured Survey Data in Relation to Technology and Mathematics Learning](https://merga.net.au/merga-publications/what-students-say-analysis-of-structured-survey-data-in-relation-to-technology-and-mathematics-learning/) - Vince Geiger What Students Say: Analysis of Structured Survey Data in Relation to Technology and Mathematics Learning - [A Teacher-Researcher Perspective on CAS in Senior Secondary Mathematics](https://merga.net.au/merga-publications/a-teacher-researcher-perspective-on-cas-in-senior-secondary-mathematics/) - Sue Garner & David Leigh-Lancaster A Teacher-Researcher Perspective on CAS in Senior Secondary Mathematics - [From Description to Analysis in Technology Aided Teaching and Learning: A Contribution From Zone Theory](https://merga.net.au/merga-publications/from-description-to-analysis-in-technology-aided-teaching-and-learning-a-contribution-from-zone-theory/) - Peter Galbraith & Merrilyn Goos From Description to Analysis in Technology Aided Teaching and Learning: A Contribution From Zone Theory - [ Individualization of Knowledge Representation in Teacher Education in Mathematics](https://merga.net.au/merga-publications/individualization-of-knowledge-representation-in-teacher-education-in-mathematics/) - Engelbert Niehaus Individualization of Knowledge Representation in Teacher Education in Mathematics - [Re-visioning Curriculum: Shifting the Metaphor From Science to Jazz](https://merga.net.au/merga-publications/re-visioning-curriculum-shifting-the-metaphor-from-science-to-jazz/) - Jim Neyland Re-visioning Curriculum: Shifting the Metaphor From Science to Jazz - [ First Graders’ Use of Structure in Visual Memory and Unitising Area Tasks](https://merga.net.au/merga-publications/first-graders-use-of-structure-in-visual-memory-and-unitising-area-tasks/) - Joanne Mulligan & Anne Prescott First Graders’ Use of Structure in Visual Memory and Unitising Area Tasks - [Shaping Practice: Worksheets as Social Artefacts](https://merga.net.au/merga-publications/shaping-practice-worksheets-as-social-artefacts/) - Judith A. Mousley Shaping Practice: Worksheets as Social Artefacts - [Count Me In Too and the Basic Skills Test in New South Wales](https://merga.net.au/merga-publications/count-me-in-too-and-the-basic-skills-test-in-new-south-wales/) - Michael Mitchelmore & Paul White Count Me In Too and the Basic Skills Test in New South Wales - [ Tensions and Possibilities: Indigenous Parents Doing Mathematics Curriculum Development](https://merga.net.au/merga-publications/tensions-and-possibilities-indigenous-parents-doing-mathematics-curriculum-development/) - Tamsin Meaney & Uenuku Fairhall Tensions and Possibilities: Indigenous Parents Doing Mathematics Curriculum Development - [ Monitoring Standards in Education: Mathematics 2002 Assessment](https://merga.net.au/merga-publications/monitoring-standards-in-education-mathematics-2002-assessment/) - Andrew Stephanou, Barry McCrae, Rhonda Farkota, John Lindsey, Elena Stoyanova Monitoring Standards in Education: Mathematics 2002 Assessment - [Posing Problems in ICT-Based Contexts](https://merga.net.au/merga-publications/posing-problems-in-ict-based-contexts/) - Tom Lowrie - [Numeracy … Scientificity: Identifying, Linking and Using the ‘Big Ideas’ of Mathematics and Science for More Effective Teaching](https://merga.net.au/merga-publications/numeracy-scientificity-identifying-linking-and-using-the-big-ideas-of-mathematics-and-science-for-more-effective-teaching/) - Chris Hurst Recent curriculum documents such as the Common Core State Standards for Mathematics and the Australian Curriculum: Mathematics F to 10 continue the practice of presenting content in a linear and compartmentalized manner and appear not to accentuate the links and connections that are present in the ‘big ideas’of mathematics. Both documents seem to - [ Teaching Mathematics Using the Internet](https://merga.net.au/merga-publications/teaching-mathematics-using-the-internet/) - Esther Loong & Bruce White Teaching Mathematics Using the Internet - [Australian Secondary School Teachers’ Use of the Internet for Mathematics](https://merga.net.au/merga-publications/australian-secondary-school-teachers-use-of-the-internet-for-mathematics/) - Esther Loong Australian Secondary School Teachers’ Use of the Internet for Mathematics - [Gambling Behaviour and Understanding of Probability Concepts Among University Students](https://merga.net.au/merga-publications/gambling-behaviour-and-understanding-of-probability-concepts-among-university-students/) - Donald Smith Gambling Behaviour and Understanding of Probability Concepts Among University Students - [Identifying Effective Scaffolding Practices Through Structured Peer Observation and Review](https://merga.net.au/merga-publications/identifying-effective-scaffolding-practices-through-structured-peer-observation-and-review/) - Dianne Siemon & Jo Virgona Identifying Effective Scaffolding Practices Through Structured Peer Observation and Review - [High School Students’ Interpretation of Tables and Graphs: Some Findings From Fiji](https://merga.net.au/merga-publications/high-school-students-interpretation-of-tables-and-graphs-some-findings-from-fiji/) - Sashi Sharma High School Students’ Interpretation of Tables and Graphs: Some Findings From Fiji - [Links Between Beliefs of Pre-Service Teachers About Literacy and Numeracy Learning](https://merga.net.au/merga-publications/links-between-beliefs-of-pre-service-teachers-about-literacy-and-numeracy-learning/) - Anne Scott Links Between Beliefs of Pre-Service Teachers About Literacy and Numeracy Learning - [Is it Better to Burn Out or to Rust?](https://merga.net.au/merga-publications/is-it-better-to-burn-out-or-to-rust/) - Peter Rawlins Is it Better to Burn Out or to Rust? - [Interactive Animation Provides a Vehicle for Exploring Students’ Understandings of Derivatives](https://merga.net.au/merga-publications/interactive-animation-provides-a-vehicle-for-exploring-students-understandings-of-derivatives/) - Robyn Pierce & Lyn Atkinson Interactive Animation Provides a Vehicle for Exploring Students’ Understandings of Derivatives - [A Whole School Approach to the Provision of Mathematics for Low-Achieving Girls in a Secondary School](https://merga.net.au/merga-publications/a-whole-school-approach-to-the-provision-of-mathematics-for-low-achieving-girls-in-a-secondary-school/) - Bob Perry & Jane Fulcher A Whole School Approach to the Provision of Mathematics for Low-Achieving Girls in a Secondary School - [Organising and Representing Grouped Data](https://merga.net.au/merga-publications/organising-and-representing-grouped-data/) - Steven Nisbet Organising and Representing Grouped Data - [Number Combinations and Arithmetic Structure: Implications for Early Algebra](https://merga.net.au/merga-publications/number-combinations-and-arithmetic-structure-implications-for-early-algebra/) - Elizabeth Warren Number Combinations and Arithmetic Structure: Implications for Early Algebra - [Exploring the Right, Probing Questions to Uncover Decimal Misconceptions](https://merga.net.au/merga-publications/exploring-the-right-probing-questions-to-uncover-decimal-misconceptions/) - Vicki Steinle & Kaye Stacey Download Proceedings - [Monitoring Standards in Education: Mathematics 2002 Assessments](https://merga.net.au/merga-publications/monitoring-standards-in-education-mathematics-2002-assessments/) - Andrew Stephanou, Barry McCrae, Rhonda Farkota, John Lindsey & Elena Stoyanova Download Proceedings - [Probing Whole Number Dominance With Fractions](https://merga.net.au/merga-publications/probing-whole-number-dominance-with-fractions/) - Max Stephens & Catherine Pearn Probing Whole Number Dominance With Fractions - [Metacognitive Intervention in a Cognitive-apprenticeship-computer-based Environment](https://merga.net.au/merga-publications/metacognitive-intervention-in-a-cognitive-apprenticeship-computer-based-environment/) - Teong Su Kwang Metacognitive Intervention in a Cognitive-apprenticeship-computer-based Environment - [A Model of Early Number Development](https://merga.net.au/merga-publications/a-model-of-early-number-development/) - Kaye Treacy & Sue Willis A Model of Early Number Development - [Gender and Attitudes to Computer Use in Junior Secondary Mathematics](https://merga.net.au/merga-publications/gender-and-attitudes-to-computer-use-in-junior-secondary-mathematics/) - Colleen Vale Gender and Attitudes to Computer Use in Junior Secondary Mathematics - [ Year 8 Students’ Reasoning in a Cabri Environment](https://merga.net.au/merga-publications/year-8-students-reasoning-in-a-cabri-environment/) - Jill Vincent Year 8 Students’ Reasoning in a Cabri Environment - [Sociomathematical Worlds: Investigating Children’s Developing Relationships With Mathematics](https://merga.net.au/merga-publications/sociomathematical-worlds-investigating-childrens-developing-relationships-with-mathematics/) - Fiona Walls Sociomathematical Worlds: Investigating Children’s Developing Relationships With Mathematics - [Inference From a Pictograph: Statistical Literacy in Action](https://merga.net.au/merga-publications/inference-from-a-pictograph-statistical-literacy-in-action/) - Jane M. Watson & Ben Kelly Inference From a Pictograph: Statistical Literacy in Action - [Predicting Dice Outcomes: The Dilemma of Expectation Versus Variation](https://merga.net.au/merga-publications/predicting-dice-outcomes-the-dilemma-of-expectation-versus-variation/) - Jane M. Watson & Ben Kelly Predicting Dice Outcomes: The Dilemma of Expectation Versus Variation - [The Development of Children’s Reasoning Strategies in Probability Tasks](https://merga.net.au/merga-publications/the-development-of-childrens-reasoning-strategies-in-probability-tasks/) - Jenni Way The Development of Children’s Reasoning Strategies in Probability Tasks - [Lesson Study: A Model of Professional Development for Teachers of Mathematics in Years 7 to 12](https://merga.net.au/merga-publications/lesson-study-a-model-of-professional-development-for-teachers-of-mathematics-in-years-7-to-12/) - Allan L. White & Beth Southwell Lesson Study: A Model of Professional Development for Teachers of Mathematics in Years 7 to 12 - [Associations Between Student Pursuit of Novel Mathematical Ideas and Resilience](https://merga.net.au/merga-publications/associations-between-student-pursuit-of-novel-mathematical-ideas-and-resilience/) - Gaye Williams Associations Between Student Pursuit of Novel Mathematical Ideas and Resilience - [The Perspectives of Two Children who Participated in the Advanced Numeracy Project](https://merga.net.au/merga-publications/the-perspectives-of-two-children-who-participated-in-the-advanced-numeracy-project/) - Jenny Young-Loveridge & Merilyn Taylor The Perspectives of Two Children who Participated in the Advanced Numeracy Project - [Changes in Teachers’ Perceptions of Technology in Mathematics](https://merga.net.au/merga-publications/changes-in-teachers-perceptions-of-technology-in-mathematics/) - Shirley M. Yates Changes in Teachers’ Perceptions of Technology in Mathematics - [Mathematical Errors in Fractions: A Case of Bruneian Primary 5 Pupils](https://merga.net.au/merga-publications/mathematical-errors-in-fractions-a-case-of-bruneian-primary-5-pupils/) - Jamilah Yusof & John Malone Mathematical Errors in Fractions: A Case of Bruneian Primary 5 Pupils - [ Numeracy in New Times: Implications for Youth, Work and Employment](https://merga.net.au/merga-publications/numeracy-in-new-times-implications-for-youth-work-and-employment/) - Robyn Zevenbergen & Kelly Zevenbergen Numeracy in New Times: Implications for Youth, Work and Employment - [ Reforming Mathematics Education: A Case Study Within the Context of New Times](https://merga.net.au/merga-publications/reforming-mathematics-education-a-case-study-within-the-context-of-new-times/) - Robyn Zevenbergen Reforming Mathematics Education: A Case Study Within the Context of New Times - [Teachers’ Conceptions of School Algebra and its Teaching: Preliminary Findings from a Study in Colombia](https://merga.net.au/merga-publications/teachers-conceptions-of-school-algebra-and-its-teaching-preliminary-findings-from-a-study-in-colombia/) - Cecilia Agudelo-Valderrama, & Alan Bishop Teachers’ Conceptions of School Algebra and its Teaching: Preliminary Findings from a Study in Colombia - [Mathematics Support Teacher (MST): How Do We Help Students Maintain Mathematical Gains?](https://merga.net.au/merga-publications/mathematics-support-teacher-mst-how-do-we-help-students-maintain-mathematical-gains/) - Fiona McDiarmid The Mathematics Support Teacher (MST) intervention was designed for students who have been identified as having severe learning difficulties in mathematics. The MSTs provide intensive mathematics teaching support aiming to accelerate the students’ progress. The students were provided with four to five additional half hour lessons per week over a 15 to 20 - [Inspiring Mathematics and Science in Australian Teacher Education](https://merga.net.au/merga-publications/inspiring-mathematics-and-science-in-australian-teacher-education/) - Merrilyn Goos, Judy Anderson, Kim Beswick, Judy-Anne Osborn, Caz Sandison, James Dalitz, Kathryn Holmes, & Elena Prieto-Rodriguez In Australia, pre-service teacher education programs are structured so that future teachers of secondary school mathematics and science learn the content they will teach by taking courses in the university’s schools of mathematics and science, while they learn - [Factors Influencing Student Decision on Senior Secondary School Subjects](https://merga.net.au/merga-publications/factors-influencing-student-decision-on-senior-secondary-school-subjects/) - Michael Jennings & Peter Adams There are substantial and ongoing concerns in the Australian and international secondary and tertiary education sectors about students’ transition from secondary to tertiary mathematics. Declining enrolments in university mathematics and increasing failure rates in first year are often attributed to falling participation in advanced mathematics in secondary school and less - [Exploring Mindfulness within Mathematics Learning Environments](https://merga.net.au/merga-publications/exploring-mindfulness-within-mathematics-learning-environments/) - Joanna Higgins & Raewyn Eden The emotional climate of classrooms is important to the teaching and learning of mathematics. To date there have been few studies connecting emotions to learning environments. Starting from the premise that teaching is emotional work, we are interested in exploring physical, cognitive and psychological effects associated with a mindfulness intervention - [Enhancing Productive Mathematical Noticing During Lesson Planning with Lesson Play](https://merga.net.au/merga-publications/enhancing-productive-mathematical-noticing-during-lesson-planning-with-lesson-play/) - Halilah Bte Salim Alkhatib, Chen Ailing, Winnie Koh Mei Ling, Kang Hway Choon, & Choy Ban Heng Good lesson planning is an important part of effective teaching, but it can be very challenging to plan lessons that focus on working with students’ reasoning In this project, we aimed to sharpen teachers’focus on facilitating students’ mathematical - [Co-constructing Mathematical Inquiry Communities through Professional Development with Teachers](https://merga.net.au/merga-publications/co-constructing-mathematical-inquiry-communities-through-professional-development-with-teachers/) - Roberta Hunter, Jodie Hunter, Zain Thompson, & Trevor Bills New Zealand along with many other countries has an ongoing concern with a ‘tail’ of low achievers. Many of these low achievers attend schools in low socioeconomic areas and are comprised of a disproportionately large group of students of Pasifika ethnicities. One project which has been - [Using the Interconnected Model of Professional Growth as a Dynamic Tool for School Improvement](https://merga.net.au/merga-publications/using-the-interconnected-model-of-professional-growth-as-a-dynamic-tool-for-school-improvement/) - Malin Lindwall Ehrnlund This poster reports on a study of a group of mathematics teachers’ learning experiences in an explicit professional development (PD) program. In order to recognize and interpret the complex processes underlying teacher learning, the Interconnected Model of Professional Growth (ICMPG) of Clarke and Hollingsworth (2002) was used as a tool for communication - [The Ebb and Flow of Themes in 37 years of Mathematics Education Research by MERGA](https://merga.net.au/merga-publications/the-ebb-and-flow-of-themes-in-37-years-of-mathematics-education-research-by-merga/) - Harry Kanasa A Leximancer analysis will be conducted on the corpus of research conducted by the members of MERGA since its inception to discover the research interests of this group of Australian mathematics education researchers from 1977 to 2013. Papers over this time period will be organised into equal piles before analysis. This analysis will - [Teaching in a Different Direction](https://merga.net.au/merga-publications/teaching-in-a-different-direction/) - Helen Doerr & K. Jamie King Teaching in a Different Direction - [Designing Research on Teachers’ Knowledge Development](https://merga.net.au/merga-publications/designing-research-on-teachers-knowledge-development/) - Helen Doerr & Richard Lesh Designing Research on Teachers’ Knowledge Development - [Hops, Steps and Jumps: Mathematical Progress in the Early Years](https://merga.net.au/merga-publications/hops-steps-and-jumps-mathematical-progress-in-the-early-years/) - Brian Doig & Molly de Lemos Hops, Steps and Jumps: Mathematical Progress in the Early Years - [Questioning Numeracy Programs for At-Risk Students In The Middle Years Of Schooling](https://merga.net.au/merga-publications/questioning-numeracy-programs-for-at-risk-students-in-the-middle-years-of-schooling/) - Shelley Dole Questioning Numeracy Programs for At-Risk Students In The Middle Years Of Schooling - [Secondary Students’ Perceptions of Instructional Approaches: Implications for Mathematics Learning](https://merga.net.au/merga-publications/secondary-students-perceptions-of-instructional-approaches-implications-for-mathematics-learning/) - Sabita M. D’Souza & Leigh N. Wood Secondary Students’ Perceptions of Instructional Approaches: Implications for Mathematics Learning - [ On Student Observation and Student Assessment](https://merga.net.au/merga-publications/on-student-observation-and-student-assessment/) - Ruhama Even & Tali Wallach On Student Observation and Student Assessment - [Understanding Media in Mathematics Education: Media and Extensions of the Students](https://merga.net.au/merga-publications/understanding-media-in-mathematics-education-media-and-extensions-of-the-students/) - Hiro Ozasa, Takeshi Okawa, & Akio Matsuzaki The aim of this presentation is to analyze the extensions of the students in a mathematics lesson. The method is the following. Firstly we review the media theory (McLuhan, 1994; Tokitsu, 2012) to extract a viewpoint for mathematics lessons. Secondly we plan and implement a mathematics lesson (Okawa, - [Why Knowledge of Fractions is Important for Algebraic Readiness in the Middle Years of Schooling](https://merga.net.au/merga-publications/why-knowledge-of-fractions-is-important-for-algebraic-readiness-in-the-middle-years-of-schooling/) - Catherine Pearn In this presentation the importance of developing both fractional number understanding and algebraic reasoning will be articulated. I argue that arithmetical thinking about fractions necessarily involves multiplicative thinking as opposed to additive thinking. However in moving from arithmetical thinking to algebraic thinking involving fractions, a necessary intermediate stage for middle years’ students is - [Using Picture Books to Implement the Mathematics Curriculum: The Missed Opportunities](https://merga.net.au/merga-publications/using-picture-books-to-implement-the-mathematics-curriculum-the-missed-opportunities/) - Jennie Marston Picture books have been shown to provide opportunities for developing mathematical concepts in young children. Twenty-seven professionals (academics, teachers and preservice teachers) completed 118 evaluations of 36 mathematical picture books for opportunities of mathematical concept development using a seven category likert scale. This presentation highlights the range of scores in identifying mathematical content, - [Using Metaphors to Investigate Pre-service Primary Teachers’ Attitudes to Mathematics](https://merga.net.au/merga-publications/using-metaphors-to-investigate-pre-service-primary-teachers-attitudes-to-mathematics/) - Kathy Brady & Tiffany Winn The use of metaphor as a reflective writing tool to explore attitudes towards mathematics has been embraced by researchers in recent years. In this study, first year pre-service primary teachers incorporated inventive concepts and contexts in a personal mathematical metaphor to create strong and meaningful images articulating how they felt - [Using iPads for Assessment in the Mathematics Classroom](https://merga.net.au/merga-publications/using-ipads-for-assessment-in-the-mathematics-classroom/) - Naomi Ingram & Sandra Williamson-Leadley This short communication reports on the use of an iPad application for mathematical assessment in New Zealand primary and secondary schools. This iPad application enables the user to make notes, while recording sound in real time. Students’ voices are recorded as they work and explain how they solved a mathematical - [TPACK as an Analytical Tool to Understand Mathematics Teaching with Technology](https://merga.net.au/merga-publications/tpack-as-an-analytical-tool-to-understand-mathematics-teaching-with-technology/) - Sitti Maesuri Patahuddin & Barney Dalgarno This paper addresses the question “what specialised knowledge is needed by teachers to teach mathematics effectively using digital learning resources? It outlines how a specific theoretical framework (the Technological Pedagogical Content Knowledge or TPACK framework) may help us understand the complexity of teaching mathematics using tehnology. The framework is - [Towards an Investigation of the Pedagogical Content Knowledge of University Mathematics Teachers](https://merga.net.au/merga-publications/towards-an-investigation-of-the-pedagogical-content-knowledge-of-university-mathematics-teachers/) - Greg Oates, John Hannah, David Holgate, & Kevin McLeod Recent studies suggest that, similar to secondary school teaching, appropriate mathematical and pedagogical content knowledge (MCK; PCK) and pedagogical technology knowledge (PTK) may also be necessary in order to make informed decisions about curricular values in undergraduate mathematics. There are a growing number of studies that - [The Performance Characteristics of Early Education Children in Mainstream Classrooms with Respect to Critical Mathematical Thinking](https://merga.net.au/merga-publications/the-performance-characteristics-of-early-education-children-in-mainstream-classrooms-with-respect-to-critical-mathematical-thinking/) - Chrissy Monteleone, Roger Vallance, & Paul White Critical mathematical thinking is the ability to reason and make judgments to solve mathematics problems. In order to identify young children’s critical mathematical thinking processes, mainstream classroom teachers may ask higher-order, open-ended stimulus questions to elicit the thinking of these children. This research focuses on teachers’ understanding of - [The Meaning Making of Meaning Makers “Experienced Mathematics Teachers” Interpretations of their Own Professional Practice](https://merga.net.au/merga-publications/the-meaning-making-of-meaning-makers-experienced-mathematics-teachers-interpretations-of-their-own-professional-practice/) - Malin Lindwall Ehrnlund This study is an exploration of the ways in which experienced mathematics teachers recognize and learn about issues that shape their own professional practice. In a school-based professional development program teachers collaboratively analyzed their teaching practice in order to recognize and interpret concerns and teaching needs, as well as link them with - [The Flipped Classroom Model: A Literature Review](https://merga.net.au/merga-publications/the-flipped-classroom-model-a-literature-review/) - Duncan Symons & Cath Pearn The Flipped Classroom Model is an approach to blended learning that is currently being trialled in many settings from mathematics teacher education to the primary mathematics classroom. This literature review offers a general introduction to the model, a discussion of key components of the model including analysis of the opinions - [The Development in Integrating Mathematical Modelling into the Curriculum: Results of a Pilot Study](https://merga.net.au/merga-publications/the-development-in-integrating-mathematical-modelling-into-the-curriculum-results-of-a-pilot-study/) - Maureen Siew Fang Chong & Masitah Shahrill A mathematical modelling framework called MODEL (Meanings, Organise, Develop, Execute and Link) was designed to assess students’ application of abstract mathematical knowledge into real-life situations. A pilot study was conducted aimed to identify the level of mathematical modelling skills of 183 pre-university students in Brunei Darussalam. Test items - [The Contribution of a Poetics of Mathematics Classroom Interaction to Curriculum Design](https://merga.net.au/merga-publications/the-contribution-of-a-poetics-of-mathematics-classroom-interaction-to-curriculum-design/) - John Kusznirczuk This paper presents an argument in support of the proposition that a poetics of mathematics classroom interaction is necessary to the effective design of mathematics curricula. Drawing on an account of the “interaction order” (after Goffman, 1983), which is one aspect of a theoretical investigation of the tools needed to systematically describe mathematics - [Teachers’ Beliefs and Practice in Teaching Early Algebra](https://merga.net.au/merga-publications/teachers-beliefs-and-practice-in-teaching-early-algebra/) - Christina Lee, Omolola Ladele, & Christine Ormond To teach mathematics in the 21st century, and more specifically to teach early algebra, the teacher should bring to the classroom a particular cluster of skills, understandings and knowledge. Early algebra is crucial for students’ success in higher mathematics. While a written curriculum is needed for teaching, a - [SPOT Diagrams of a Partially Correct Construct](https://merga.net.au/merga-publications/spot-diagrams-of-a-partially-correct-construct/) - Caroline Yoon SPOT (Structures Perceived Over Time) diagrams (Yoon, 2012) are analytical tools for visualising changes in the mathematical structures students create, attend to, and manipulate over time. SPOT diagrams use animated networks to portray relationships between mathematical objects and their attributes, as well as changes in these structures. In this presentation, I show how - [Self-efficacy and Attitude toward Mathematics: A Multigroup Invariance Analysis and Gender Difference](https://merga.net.au/merga-publications/self-efficacy-and-attitude-toward-mathematics-a-multigroup-invariance-analysis-and-gender-difference/) - Elizar & I Gusti Ngurah Darmawan The study examined multigroup invariance of Mathematics Self-efficacy and Attitude Scales (MSAS) and examined gender differences of MSAS across gender. The analysis of invariance was conducted to examine whether the items in the MSAS were operating equivalently between Year 9 female and male students in the state of Aceh, - [Scaffolding Formative Assessment Approach – Visualize Learning](https://merga.net.au/merga-publications/scaffolding-formative-assessment-approach-visualize-learning/) - Annika Grotherus This is a presentation of an evaluation and assessing method in mathematics using the concepts of scaffolding, formative assessment and writing to learn intertwined. The scaffolding formative assessment approach is a product of over ten years of development of teaching and assessing mathematics in both compulsory school and secondary education. The aim was - [Responses to “the Scary Question”: How Teaching Challenges Impact the Use of Knowledge and its Development](https://merga.net.au/merga-publications/responses-to-the-scary-question-how-teaching-challenges-impact-the-use-of-knowledge-and-its-development/) - Kim Beswick & Helen Chick This paper reports on teachers’ experiences of being out of their comfort zone in their mathematics teaching. We describe examples of experiences that the teachers considered “scary”, their reported responses to those situations, and the longer-term effects of such experiences. Implications for the acquisition of knowledge for teaching mathematics are - [Multiple Multiplication Methods](https://merga.net.au/merga-publications/multiple-multiplication-methods/) - Jyoti Jhagroo I advocate for a shift from the traditional role of the teacher in developing computational proficiency through a single method model-and-practice teaching approach to a pedagogy that promotes learning through diversity. By examining mathematics through different lenses, alternative ways of thinking may be nurtured in the learning environment. Drawing on the lived experiences - [Modelled Lessons Raise More Questions than Answers](https://merga.net.au/merga-publications/modelled-lessons-raise-more-questions-than-answers/) - Louise Hodgson The focus of this presentation is to report on an exploration of what teachers observed when watching modelled lessons. Focusing on two modelled lessons in one school, data are presented that indicate that observation of teaching practice raises many questions related to the meaning of explicit teaching, the structure of lessons, catering for - [Middle Years Students Using Mathematics to Communicate a Local Issue](https://merga.net.au/merga-publications/middle-years-students-using-mathematics-to-communicate-a-local-issue/) - Margaret Marshman Middle Years students often do not see the value and usefulness of mathematics while the Australian Curriculum: Mathematics aims for students to be “confident and creative users and communicators of mathematics (ACARA, 2012). This paper discusses how a group of middle year students have used mathematics to communicate a local issue. The data - [Mentoring to Alleviate Anxiety in Pre-Service Primary Mathematics Teachers: Working at the Coal-face without having to Look over your Shoulder](https://merga.net.au/merga-publications/mentoring-to-alleviate-anxiety-in-pre-service-primary-mathematics-teachers-working-at-the-coal-face-without-having-to-look-over-your-shoulder/) - Timothy Perkins Increasing numbers of students enrolled in primary pre-service teacher (PST) Education degrees in Australia enter university with insufficient mathematical content knowledge and low confidence levels about their ability to teach and do the mathematics required for their intended role as classroom teachers. Mentoring of PST’s by highly capable and experienced classroom teachers within - [Learning in Undergraduate Mathematics: The Trial of a Delivery Innovation](https://merga.net.au/merga-publications/learning-in-undergraduate-mathematics-the-trial-of-a-delivery-innovation/) - Bill Barton LUMOS is a two-year Ako Aotearoa-funded project that aims to identify, observe, and report on the full spectrum of desired learning outcomes for undergraduate mathematics, that is, not only content-based outcomes. The project includes the development of three innovative delivery methods for undergraduate mathematics. As we enter the second year, we can report - [Investigating the Representations of Students’ Problem Solving Strategies](https://merga.net.au/merga-publications/investigating-the-representations-of-students-problem-solving-strategies/) - Nor Azura Hj Abdullah, Masitah Shahrill, & Maureen Siew Fang Chong We investigated the strategies used by Year 7 students in answering a problem solving question. The strategies mostly used by students were Estimation and Check (46%) and Drawing Pictures (19%). A total of 125 students, from the 650 responses collected overall responded using a - [Exploring Mathematics Engagement in the Middle Years of School](https://merga.net.au/merga-publications/exploring-mathematics-engagement-in-the-middle-years-of-school/) - Janette Bobis, Jenni Way, & Maryam Khosronejad This presentation reports on an intervention study aimed at improving middle year (Years 5-7) students’ engagement in mathematics. Motivation and engagement levels in mathematics were assessed prior to and at the completion of a year-long intervention for two different cohorts of students in 2012 (N=339) and 2013 (N=319) - [Evidence of Evolutionary Changes in the Nature of Interactions in Fully Asynchronous Online Mathematics Courses](https://merga.net.au/merga-publications/evidence-of-evolutionary-changes-in-the-nature-of-interactions-in-fully-asynchronous-online-mathematics-courses/) - Sven Trenholm The role and status of interactions (student-content, student-instructor and student-student) are considered foundational to current online learning theory (Anderson & Elloumi, 2008). This research investigates these interactions in fully asynchronous online mathematics courses taught in the US public higher education context. It reports on problems with human interactions in general and evidence for - [Enhancing Mathematics and Science Teacher Education in Regional Australia: Modules for Primary Mathematics Pre-service teachers](https://merga.net.au/merga-publications/enhancing-mathematics-and-science-teacher-education-in-regional-australia-modules-for-primary-mathematics-pre-service-teachers/) - Geoff Woolcott, Adam Harris, Jackie Reid, & Robert Whannell This presentation describes a project designed to enhance mathematics and science teacher education in regional Australia. Iterative processes are used to develop and trial enhancement and feedback modules, involving pre-service teachers, mathematicians and educators in targeted interactions designed to ground pre-service teacher education in contexts relevant - [The Potential of Open-Ended Mathematics Tasks for Overcoming Barriers to Learning](https://merga.net.au/merga-publications/the-potential-of-open-ended-mathematics-tasks-for-overcoming-barriers-to-learning/) - Peter Sullivan The Potential of Open-Ended Mathematics Tasks for Overcoming Barriers to Learning - [Teachers’ Perceptions of How Open-Ended Mathematics Tasks Assist in Overcoming Barriers to Learning](https://merga.net.au/merga-publications/teachers-perceptions-of-how-open-ended-mathematics-tasks-assist-in-overcoming-barriers-to-learning/) - Robyn Turner-Harrison Teachers’ Perceptions of How Open-Ended Mathematics Tasks Assist in Overcoming Barriers to Learning - [Perceptions of Barriers to Numeracy](https://merga.net.au/merga-publications/perceptions-of-barriers-to-numeracy/) - Judith A. Mousley Perceptions of Barriers to Numeracy - [Identifying and Overcoming Barriers to Mathematics Learning](https://merga.net.au/merga-publications/identifying-and-overcoming-barriers-to-mathematics-learning/) - PETER SULLIVAN & JUDITH MOUSLEY & ROBYN ZEVENBERGEN & Robyn Turner Harrison & PAM HAMMOND & Carmel Diezmann Identifying and Overcoming Barriers to Mathematics Learning - [Early Childhood Educators as Teachers of Mathematics](https://merga.net.au/merga-publications/early-childhood-educators-as-teachers-of-mathematics/) - Susan McDonald & Louise Thomas The past decade has seen an increase in the attention given to education in prior-to-school settings, and as a result, two areas of interest have emerged: (1) the intent and nature of this phase of education, and (2) the identity of the educator in these settings. This paper presents data - [Dyscalculia, from a Teacher’s Perspective](https://merga.net.au/merga-publications/dyscalculia-from-a-teachers-perspective/) - Ann Williams This presentation is based on a literature review (Williams, 2012).The puzzle of why “able children are unable to learn arithmetic” (Butterworth & Laurillard, 2010, p. 536), has different names. It affects the ability to count hence the ability to do arithmetic but not the ability to do higher levels of mathematics. The incidence - [Development of a Set of Mathematical Modelling Rubrics](https://merga.net.au/merga-publications/development-of-a-set-of-mathematical-modelling-rubrics/) - Siew Yee Lim & Hui Yi Ting There has been increasing interest in the use of mathematical modelling to better prepare students for the 21st century. However, established rubrics that assess students’ ability to apply their mathematical skills in mathematical modelling tasks are scarce. This study proposes to develop a set of mathematical rubrics based - [Using Case Stories as a Tool for Listening More and Telling Less in Mathematics Teacher Education](https://merga.net.au/merga-publications/using-case-stories-as-a-tool-for-listening-more-and-telling-less-in-mathematics-teacher-education/) - Tracey Smith Using Case Stories as a Tool for Listening More and Telling Less in Mathematics Teacher Education - [Developing Critical Reflection for Primary School Mathematics Teachers through Laboratory Class Cycle](https://merga.net.au/merga-publications/developing-critical-reflection-for-primary-school-mathematics-teachers-through-laboratory-class-cycle/) - Lu Pien Cheng This presentation examines how a Critical Commentator (CC, the author) facilitated reflection amongst seven Singapore primary mathematics teachers during a school-based professional development programme. Laboratory class cycle involving planning, observing and critiquing mathematics lessons was used as a framework for the programme. With the aid of a questioning framework, the CC was - [ Opportunities to Learn Mathematics](https://merga.net.au/merga-publications/opportunities-to-learn-mathematics/) - Anne Watson Opportunities to Learn Mathematics - [ Working Together to Enhance Australian Aboriginal Students’ Mathematics Learning](https://merga.net.au/merga-publications/working-together-to-enhance-australian-aboriginal-students-mathematics-learning/) - Susan Matthews, Peter Howard, Bob Perry Working Together to Enhance Australian Aboriginal Students’ Mathematics Learning - [ The TIMSS 1999 Video Study and its Relevance to Australian Mathematics Education Research, Innovation, Networking, and Opportunities](https://merga.net.au/merga-publications/the-timss-1999-video-study-and-its-relevance-to-australian-mathematics-education-research-innovation-networking-and-opportunities/) - Hilary Hollingsworth The TIMSS 1999 Video Study and its Relevance to Australian Mathematics Education Research, Innovation, Networking, and Opportunities - [Designing Professional Development: Beyond General Principles](https://merga.net.au/merga-publications/designing-professional-development-beyond-general-principles/) - Seyum Getenet, Rosemary Callingham, & Kim Beswick This study describes the importance of context analysis in designing professional development guidelines to support Ethiopian mathematics teacher educators to integrate technology in their teaching. The study was conducted at departments of mathematics in two Colleges of Teacher Education using a combination of qualitative and quantitative data. Sixteen - [Cultural Identities and Mathematics Learning](https://merga.net.au/merga-publications/cultural-identities-and-mathematics-learning/) - Angel Mok Leung (2002) suggests the high TIMSS performance of Singapore, Hong Kong, and Taiwan, which have high proportions of Chinese students, may be influenced by cultural and family values. However, comparative studies of Chinese students’ mathematics performance often focus on what Chinese families do to support children’s learning, with few studies examining why. Using - [Conceptual Development in Mathematics: Longitudinal Connections from Network Analysis of Multiple Choice Assessments](https://merga.net.au/merga-publications/conceptual-development-in-mathematics-longitudinal-connections-from-network-analysis-of-multiple-choice-assessments/) - Geoff Woolcott, Daniel Chamberlain, & Rassoul Sadeghi Network analysis may be used to enrich understanding of conceptual relationships in mathematics and their development over time and is used to examine spatiotemporal connectivity of learned concepts, or outcomes, and concepts inherent in multiple choice items. The network representations derived from this analysis show the connections between - [Collegial Peer Observation as a Means of Influencing Change in University Mathematics Teaching](https://merga.net.au/merga-publications/collegial-peer-observation-as-a-means-of-influencing-change-in-university-mathematics-teaching/) - Merrilyn Goos & Paul Hernandez-Martinez This paper presents insights into the transformation of teaching practices in an undergraduate engineering mathematics course. Adopting a developmental design research approach, the second author introduced mathematical modelling and group work into his teaching of the course, while the first author offered peer observation and feedback to support pedagogical change. - [Preface](https://merga.net.au/merga-publications/preface-9/) - Judy Mousley Preface - [ A Tribute to the Research Work of Dr. Glendon Lean](https://merga.net.au/merga-publications/a-tribute-to-the-research-work-of-dr-glendon-lean/) - Alan J. Bishop A Tribute to the Research Work of Dr. Glendon Lean - [Secondary School Mathematics Teachers’ Views Of Assessment: Some Insights From The Caribbean](https://merga.net.au/merga-publications/secondary-school-mathematics-teachers-views-of-assessment-some-insights-from-the-caribbean/) - Sandra Trotman Download Proceedings - [Teacher Judgements in Mathematics](https://merga.net.au/merga-publications/teacher-judgements-in-mathematics/) - Christine Hardie National Standards, introduced into New Zealand schools in 2010, require teachers in years one to eight to make overall teacher judgments in mathematics. 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W. Yeo & Yew Hoong LeongPrimary School Teachers Solving Mathematical Tasks Involving the Big Idea of EquivalenceBerinderjeet Kau, Cherng Luen Tong & Mohamed Jahabar Jahangeer - [RESEARCH PAPERS](https://merga.net.au/merga-publications/research-papers-2023-merga-conference-proceedings/) - [ROUND TABLES](https://merga.net.au/merga-publications/round-tables-2023-merga-conference-proceedings/) - [SHORT COMMUNICATIONS](https://merga.net.au/merga-publications/short-communications-2023-merga-conference-proceedings/) - [Conference Proceedings 2010](https://merga.net.au/merga-publications/conference-proceedings-2010/) - [Title](https://merga.net.au/merga-publications/title-2010-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-2010-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2010-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-2010-merga-conference-proceedings/) - 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[Beth Southwell Practical Implication Award](https://merga.net.au/merga-publications/beth-southwell-practical-implication-award/) - [Symposia](https://merga.net.au/merga-publications/symposia-2017-merga-conference-proceedings/) - [Research Papers](https://merga.net.au/merga-publications/research-papers-2017-merga-conference-proceedings/) - [Short Communications (Abstract Only)](https://merga.net.au/merga-publications/short-communications-abstract-only/) - [Round Tables (Abstract Only)](https://merga.net.au/merga-publications/round-tables-abstract-only/) - [Conference Proceedings 2011](https://merga.net.au/merga-publications/conference-proceedings-2011/) - [Title](https://merga.net.au/merga-publications/title-2011-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-2011-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2011-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-2011-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2011-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2011-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2011-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2011-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2011-merga-conference-proceedings/) - [Poster (abstract only)](https://merga.net.au/merga-publications/poster-abstract-only-2011-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2011-merga-conference-proceedings/) - [Conference Proceedings 2012](https://merga.net.au/merga-publications/conference-proceedings-2012/) - [Title](https://merga.net.au/merga-publications/title-2012-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-2012-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2012-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-2012-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2012-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2012-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2012-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2012-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2012-merga-conference-proceedings/) - [Poster (abstract only)](https://merga.net.au/merga-publications/poster-abstract-only-2012-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2012-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-2016-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-2016-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2016-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2016-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2016-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2016-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2016-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2016-merga-conference-proceedings/) - [Conference Proceedings 2013](https://merga.net.au/merga-publications/conference-proceedings-2013/) - [Title](https://merga.net.au/merga-publications/title-2013-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-2013-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2013-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-2013-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2013-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2013-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2013-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2013-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2013-merga-conference-proceedings/) - [Poster (abstract only)](https://merga.net.au/merga-publications/poster-abstract-only-2013-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2013-merga-conference-proceedings/) - [Conference Proceedings 2014](https://merga.net.au/merga-publications/conference-proceedings-2014/) - [Title](https://merga.net.au/merga-publications/title-2014-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-2014-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2014-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2014-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2014-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2014-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2014-merga-conference-proceedings/) - [Poster (abstract only)](https://merga.net.au/merga-publications/poster-abstract-only-2014-merga-conference-proceedings/) - [Short Communications](https://merga.net.au/merga-publications/short-communications-1997-merga-conference-proceedings/) - [Title](https://merga.net.au/merga-publications/title-1998-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-1998-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-1998-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-1998-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-1998-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-1998-merga-conference-proceedings/) - [Conference Proceedings 2015](https://merga.net.au/merga-publications/conference-proceedings-2015/) - [Title](https://merga.net.au/merga-publications/title-2015-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-2015-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2015-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-2015-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2015-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2015-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2015-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2015-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2015-merga-conference-proceedings/) - [Poster (abstract only)](https://merga.net.au/merga-publications/poster-abstract-only-2015-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2015-merga-conference-proceedings/) - [Conference Proceedings 2016](https://merga.net.au/merga-publications/conference-proceedings-2016/) - [Title](https://merga.net.au/merga-publications/title-2016-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2016-merga-conference-proceedings/) - [Title](https://merga.net.au/merga-publications/title-1999-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-1999-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-1999-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-1999-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-1999-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-1999-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-1999-merga-conference-proceedings/) - [Poster (abstract only)](https://merga.net.au/merga-publications/poster-abstract-only-2016-merga-conference-proceedings/) - [Conference Proceedings 2009](https://merga.net.au/merga-publications/conference-proceedings-2009/) - [Title](https://merga.net.au/merga-publications/title-2009-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-2009-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2009-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-2009-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2009-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2009-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2009-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2009-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2009-merga-conference-proceedings/) - [Poster (abstract only)](https://merga.net.au/merga-publications/poster-abstract-only-2009-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2009-merga-conference-proceedings/) - [Title](https://merga.net.au/merga-publications/title-2008-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2008-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-2008-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2008-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2008-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2008-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2008-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2008-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2008-merga-conference-proceedings/) - [Title](https://merga.net.au/merga-publications/title-2007-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-2007-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2007-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2007-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2007-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2007-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2007-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2007-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2007-merga-conference-proceedings/) - [Title](https://merga.net.au/merga-publications/title-2006-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-2006-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2006-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-2006-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2006-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2006-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2006-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2006-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2006-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2006-merga-conference-proceedings/) - [Title](https://merga.net.au/merga-publications/title-2005-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-2005-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2005-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-2005-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2005-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2005-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2005-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2005-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2005-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2005-merga-conference-proceedings/) - [Title](https://merga.net.au/merga-publications/title-2004-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-2004-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2004-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2004-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2004-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2004-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2004-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2004-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2003-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2003-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2003-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2003-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2003-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2003-merga-conference-proceedings/) - [Content](https://merga.net.au/merga-publications/content-2002-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2002-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2002-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2002-merga-conference-proceedings/) - [Short Communication (abstract only)](https://merga.net.au/merga-publications/short-communication-abstract-only-2002-merga-conference-proceedings/) - [Title](https://merga.net.au/merga-publications/title-2001-merga-conference-proceedings/) - [Preface](https://merga.net.au/merga-publications/preface-2001-merga-conference-proceedings/) - [List of Reviewers](https://merga.net.au/merga-publications/list-of-reviewers-2001-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2001-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2001-merga-conference-proceedings/) - [Keynote Address](https://merga.net.au/merga-publications/keynote-address-2000-merga-conference-proceedings/) - [Practical Implication Award](https://merga.net.au/merga-publications/practical-implication-award-2000-merga-conference-proceedings/) - [Symposium](https://merga.net.au/merga-publications/symposium-2000-merga-conference-proceedings/) - [Research Paper](https://merga.net.au/merga-publications/research-paper-2000-merga-conference-proceedings/) - [Round Table (abstract only)](https://merga.net.au/merga-publications/round-table-abstract-only-2014-merga-conference-proceedings/)