2013 Conference Proceedings

TABLE OF CONTENTS

KEYNOTE ADDRESSES

Bringing research on students’ understanding into the classroom through formative assessment – Kaye Stacey

Problem finding, problem posing, problem solving: Mathematics education research – Yesterday, today, tomorrow – Gloria Stillman

The mathematical brain and numeracy – Brian Butterworth

Working at the intersection of research and practice: A perspective on the study and improvement of mathematics lessons – Yoshinori Shimizu

 

PRACTICAL IMPLICATIONS AWARD

Changes in students’ notation when fractions exceed one-whole – Peter Gould

 

SYMPOSIA

Learning the Work of Ambitious Mathematics Teaching – Glenda Anthony and Roberta Hunter 

Using Instructional Activities to Learn the Work of Ambitious Mathematics in Pre-service Teacher Education Settings – Roberta Hunter, Jodie Hunter & Glenda Anthony

Coaching Pre-service Teachers for Teaching Mathematics: The Views of Students – Robin Averill, Michael Drake & Roger HarveY

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Implementing the Japanese Problem-Solving Lesson Structure – Susie Groves

Mathematical Tasks and Learning Goals: Examples from Japanese Lesson Study – Brian Doig

Primary Teachers’ Algebraic Thinking: Example from Lesson Study – Colleen Vale 

Creating Teacher Communities of Inquiry Through Lesson Study – Wanty Widjaja

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Four Factors to Consider in Helping Low Achievers in Mathematics – Leong, Yew Hoong, Yap, Sook Fwe, & Tay, Eng Guan

Helping low achievers develop a problem solving disposition – Quek, Khiok Seng, Yap, Sook Fwe, & Tong, Cherng Luen

Positive feelings towards the learning of mathematics for low achievers – Tong, Cheurng Luen, Leong, Yew Hoong, & Quek, Khiok Seng

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The Odd Couple: The Australian NAPLAN and Singaporean PSLE – Jane Greenlees

The Classic Word Problem: The Influence of Direct Teaching – Tracy Logan & Siew Yin Ho 

Students’ Performance on a Symmetry Task – Siew Yin Ho & Tracy Logan

Cross-country Comparisons of Student Sense Making: The Development of a Mathematics Processing Framework – Tom Lowrie

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Inquiry-based learning in mathematics: Designing collaborative research with schools – Katie Makar & Shelley Dole

Achievements and challenges encountered by classroom teachers involved in a research project: A reflection – Sue Allmond and Karen Huntly

Guided inquiry as a model for curricular resources in mathematics – Christine Debritz and Rhonda Horne

Building relationships between stakeholders and researchers: People, persistence and passion – Rhonda Horne & Katie Makar

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Noticing young children’s mathematical strengths and agency – Sue Dockett & Wendy Goff

Researchers noticing young children’s mathematics – Barbara Clarke

Visual stimuli that prompt young children to notice their mathematical thinking: Two researchers’ experiences – Amy MacDonald & Jill Cheeseman

Preschool and school educators noticing young children’s mathematics – Bob Perry

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Learning from the implementers in a design experiment – Toh, Tin Lam, Dindyal, Jaguthsing, & Tay, Eng Guan

Fine-Tuning in a Design Experiment – Ho, Foo Him, Toh, Pee Choon & Toh, Tin Lam

Scaffolding Cards: A Strategy for Facilitating Groups in Problem Solving – Toh, Pee Choon, Dindyal, Jaguthsing, & Ho, Foo Him

RESEARCH PAPERS

Probing Students’ Numerical Misconceptions in School Algebra – Zarina Akhtar & Vicki Steinle

Mapping Students’ Spoken Conceptions of Equality – Megan Anakin

Mathematics Teachers’ Perceptions of their Students’ Mathematical Competence: Relations to Mathematics Achievement, Affect, and Engagement in Singapore and Australia – Shaljan Areepattamannil & Berinderjeet Kaur

Integrating iPads into Primary Mathematics Pedagogies: An Exploration of Two Teachers’ Experiences – Catherine Attard

Respectful and Responsive Pedagogies for Mathematics and Statistics – Robin Averill & Megan Clarke

Using a Modified Form of Lesson Study to Develop Students’ Relational Thinking in Years 4, 5 & 6 – Lei Bao & Max Stephens

Technology Prompts New Understandings: The Case of Equality – Caroline Bardini, Reinhard Oldenburg, Kaye Stacey & Robyn Pierce

Teacher Identity and Numeracy: Developing an Analytic Lens for Understanding Numeracy Teacher Identity – Anne Bennison & Merrilyn Goos

Translation of Data from a Real-life Context into Graphical Representations – Casandra Blagdanic & Mohan Chinnappan

Teaching Roles in Technology-Rich Teaching and Learning Environments (TRTLE’s) – Jill Brown

Identification of Hierarchies of Student Learning about Percentages using Rasch Analysis – Joan Burfitt

Use of Learning Trajectories to Examine Pre-service Teachers’ Mathematics Knowledge for Teaching Area and Perimeter – Barbara Butterfield, Tricia Forrester, Faye McCallum & Mohan Chinnappan

Gender Differences in Children’s Mathematics Achievement: Perspectives from the Longitudinal Study of Australian Children – Colin Carmichael

Relationship Between Mathematics Anxiety and Attitude Towards Mathematics among Indian Students – Mini Chaman & Rosemary Callingham

Using Photographs and Diagrams to Test Young Children’s Mass Thinking – Jill Cheeseman & Andrea McDonough

Teachers’ Views of the Challenging Elements of a Task – Jill Cheeseman, Doug Clarke, Anne Roche & Karen Wilson

Posing Problems to Understand Children’s Learning of Fractions – Lu Pien Cheng

Educating Boris: An Examination of Pedagogical Content Knowledge for Mathematics Teacher Educators – Helen Chick & Kim Beswick

Translating Between and Within Representations: Mathematics As Lived Experiences and Interactions – Philemon Chigeza

Productive Mathematical Noticing: What It Is and Why It Matters – Ban Heng Choy

Designing Tasks to Promote and Assess Mathematical Transfer in Primary School Children – Julie Clark, Shaileigh Page & Steve Thornton

Accelerating the Mathematics Learning of Low Socio-Economic Status Junior Secondary Students: An Early Report – Tom Cooper, David Nutchey & Edlyn Grant

Thoughts Behind the Actions: Exploring Preservice Teachers’ Mathematical Content Knowledge – Leah Daniel & Josephine Balatti

Sticking With It or Doing It Quickly: What Performances Do We Encourage In Our Mathematics Learners? – Lisa Darragh

Pre-service Secondary Mathematics Teachers’ Reflections on Good and Bad Mathematics Teaching – Hem Dayal

When Practice Doesn’t Lead to Retrieval: An Analysis of Children’s Errors with Simple Addition – Celeste de Villiers & Sarah Hopkins

Making Connections Between Multiplication and Division – Ann Downton

How Heavy is my Rock? An Exploration of Students’ Understanding of the Measurement of Weight – Michael Drake

How Do Adults Perceive, Analyse and Measure Slope? – Bruce Duncan & Helen Chick

Great Expectations: Teaching Mathematics in English to Indigenous Language Speaking Students – Cris Edmonds-Wathen

Beginning Inference in Fourth Grade: Exploring Variation in Measurement – Lyn English & Jane Watson

Scaffolding the Mathematics Learning of Low-attaining Students Through Whole Class Discussions – Sarah Ferguson

Inquiry-Based Argumentation in Primary Mathematics: Reflecting on Evidence – Jill Fielding-Wells

The Make it Count Project: NAPLAN Achievement Evaluation – Helen Forgasz, Gilah Leder & Jennifer Halliday

Students ‘Holding’ the Moment: Learning Mathematics in an Inquiry Mathematics Classroom – Kym Fry

Students and Real-World Applications: Still a Challenging Mix – Peter Galbraith

Students Using Digital Technologies to Produce Screencasts That Support Learning in Mathematics – Linda Galligan & Carola Hobohm

Exploring the Demands and Opportunities for Numeracy in the Australian Curriculum: English – Vince Geiger, Merrilyn Goos, Shelley Dole, Helen Forgasz & Anne Bennison

Children’s Mathematical Knowledge Prior to Starting School – Ann Gervasoni & Bob Perry

Longitudinal Progress of 6-year-old Students Who Participated in an “Extending Mathematical Understanding” Mathematics Intervention Program – Ann Gervasoni, Linda Parish, Carole Livesey, Melissa Croswell, Kate Bevan, Teresa Hadden & Kathie Turkenburg

Measuring Mathematics Teacher Educators’ Knowledge of Technology Integrated Teaching: Instrument Development – Seyum Tekeher Getenet & Kim Beswick

Principals’ Views on the Importance of Numeracy as Children Start Primary School – Wendy Goff, Sue Dockett & Bob Perry

Mathematics Education as a Practice: A Theoretical Position – Peter Grootenboer & Christine Edwards-Groves

Apps for Mathematics Learning: A Review of ‘Educational’ Apps from the iTunes App Store – Kate Highfield & Kristy Goodwin

What Teachers See When Watching Others Teach – Louise Hodgson

Pre-service Primary Teachers’ Choice of Mathematical Examples: Formative Analysis of Lesson Plan Data – Ray Huntley

Mathematical Engagement Skills – Naomi Ingram

Early-Years Swimming: Creating Opportunities for Adding Mathematical Capital to Under 5 – Robyn Jorgensen

Relationships of Out-of-School-Time Mathematics Lessons to Mathematical Literacy in Singapore and Australia – Berinderjeet Kaur & Shaljan Areepattamannil

Maths Education: Is There An App For That? – Kevin Larkin

Transactional Distance Theory (TDT): An Approach to Enhancing Knowledge and Reducing Anxiety of Pre-Service Teachers Studying a Mathematics Education Course Online – Kevin Larkin & Romina Jamieson-Proctor

Foundation Content Knowledge: What Do Pre-Service Teachers Need to Know? – Chris Linsell & Megan Anakin

Pre-service Teachers’ Responses for Ratio and Proportion Items – Sharyn Livy & Sandra Herbert

From Curriculum to Workplace Requirements: Do They ‘Match’? – Gregor Lomas & Kelvin Mills

Primary School Teachers’ Perceptions of Mathematical Reasoning – Esther Yook-Kin Loong, Colleen Vale, Leicha Bragg & Sandra Herbert

Pre-Service Teachers’ Pedagogical Content Knowledge: Implications for teaching – Margaret Marshman & Glorianne Porter

Does an Ability to Pattern Indicate That Our Thinking is Mathematical?  – Catherine McCluskey, Michael Mitchelmore & Joanne Mulligan

When a Mathematics Support Pilot Program Fails Miserably: Looking for Answers – Keith McNaught

Student Preferences in the Design of Worked Solutions in Undergraduate Mathematics – David Mendiolea

Using Semiotic Resources to Build Images When Teaching the Part-Whole Model of Fractions – Paula Mildenhall

Insight into Subtraction from Large-Scale Assessment Data – Patricia Morley

Helpwithmaths.com: Students’ Use of Online Mathematical Resources – Tracey Muir

Tracking Structural Development Through Data Modelling in Highly Able Grade 1 Students – Joanne Mulligan, Kerry Hodge, Michael Mitchelmore & Lyn English

Young Children Talking in Mathematics: What is the Point of That? – Carol Murphy

How Pre-Service Teachers Integrate Knowledge of Students’ Difficulties in Understanding the Concept of the Arithmetic Mean Into Their Pedagogy – Theodosia Prodromou

Coordination of Fractional Quantities: Cueing of Resources, Constraints, and Effect of Numeric Structure – Ajay Ramful & Rajeev Nenduradu

Pre-Service Teachers’ Understanding of Measures of Centre: When the Meaning Gets Lost? – Robyn Reaburn

Students’ Understanding of Conditional Probability on Entering University – Robyn Reaburn

Using Tablet PCs For Active Learning: Learning From Others’ Mistakes – Daphne Robson & Dave Kennedy

Entering the ‘New Frontier’ of Mathematics Assessment: Designing and Trialling the PVAT-O (online) – Angela Rogers

Overcoming Challenges of Being an In-Field Mathematics Teacher in Indigenous Secondary School Classrooms – Satwant Sandhu, Gillian Kidman & Tom Cooper

What Financial Dilemmas Reveal About Students’ Social and Mathematical Understanding – Carly Sawatzki

iPads: Improving Numeracy Learning in the Early Years – Peta Spencer

Classroom Culture, Challenging Mathematical Tasks and Student Persistence – Peter Sullivan, Amanda Aulert, Alli Lehmann, Brendan Hislop, Owen Shepherd & Alan Stubbs

Teachers’ Decisions About Mathematics Tasks When Planning – Peter Sullivan, David Clarke, Doug Clarke & Anne Roche

Students Understanding of Everyday English and Kimberley Kriol in Mathematics Classroom – Kaye Treacy

PCK and Average – Jane Watson & Rosemary Callingham

The Influence of Mathematical Beliefs on Low-Achieving Adult Learners – Damon Whitten

High Performance, Confidence and Disinclination to Explore: A Case Study – Gaye Williams

Mature Age Pre-Service Teachers’ Mathematics Anxiety and Factors Impacting on University Retention – Sue Wilson

Mathematics Networks and Curriculum Concepts – Geoff Woolcott

Pre-Service Teachers’ Concept Image for Circle and Ellipse – Vince Wright

Constructing a Frame of Cube: Connecting 3D Shapes with Direction, Location and Movement – Andy Yeh

Teachers’ Perspectives Regarding the Decline in Boys’ Participation in Post-Compulsory Rigorous Mathematics Subjects – Michael Easey

 

SHORT COMMUNICATIONS

“Am I a Maths Type of Person”: Responses of Top Stream Year 8 Students – Gavin Little

“Teacher’s Dilemma” In Using The Internet As A Mathematical Resource In Multilingual Settings – Sitti Maesuri Patahuddin

Accelerated Learning in Mathematics – Fiona Fox & Komathi Kolandai-Matchett

How Is “Teaching as Inquiry” Impacted By Cross-Grouping In Mathematics? – Rosemary Golds

Impact on Identity and Self-Efficacy of Primary Pre-Service Teachers: Experiences In the Mathematics Practicum Classroom – Karen McDaid

Mentoring Undergraduate Primary Education Students in The Mathematics Classroom? The Development of A New Model To Help Reduce Mathematics Anxiety – Timothy Perkins

Narrative Inquiry and the Formation of Mathematics Identity – Gavin Little

Student Engagement in Mathematics: Switching Students on to Mathematics – Janette Bobis, Jenni Way, Judy Anderson & Maryam Khosronejad

Students’ Preferences When Learning How To Use Advanced Calculators To Solve Mathematics Problems – Hazel Tan

The Implementation of the Patterns and Early Algebra Preschool (PEAP) Professional Development (PD) Program in Indigenous Communities across New South Wales – Marina Papic, Kate Highfield, Joanne Mulligan, Judith McKay-Tempest, Deborah Garret, Monique Mandarakas, & Elizabeth Granite

Utilizing Open-Source Dynamic Mathematics Software in Teaching Geometry – Mailizar

What Does Numeracy Mean to Teachers of Subjects Other Than Mathematics? – Elizabeth Ferme

Worksheets vs. Practical Activities in Mathematics in the Primary Classroom – Bilinda Offen 

 

POSTERS

Designing a detailed instructional framework: A teaching experiment in multiplication and division – David Ellemor-Collins

Effects of using different types of display and rules on pre-schoolers patterning recognition in Malaysia: A preliminary study – Sharifah Norul Akmar Syed Zamri & Nor Adlina Fadil

Exploring secondary school mathematics teachers’ understanding of statistical graphs – Ajeevsing Bholoa & Leena Ramkalawon

Investigating the effect of the second-order use of context on Mathematics literacy tasks – Felipe Almuna-Salgado & Caroline Bardini

Pattern-based learning in Linear Algebra – Rosemarie Mohais

Testing a Framework of Cognitive Ability and Student’s Thinking Process in Geometric Argumentation – Tsu-Nan Lee & Caroline Bardini 

 

ROUND TABLES

Are We Bored Yet? Raising Attainment And Maintaining Interest – Kim Beswick & Rhonda Faragher

Assessment Standards in Undergraduate Mathematics – Carmel Coady, Deborah King & Cristina Varsavsky

National Testing: Is it valid – Fiona McDiarmid & Deb Gibbs

Students’ Transition from Number to Algebra – Christina Lee & Christine Ormond

Teacher Judgements in Mathematics – Christine Hardie