KEYNOTE ADDRESS
Custodians of Quality: Mathematics Education in Australasia Where from? Where at? Where to? – Peter Galbraith
Evolution of Singapore’s School Mathematics Curriculum – Berinderjeet Kaur
Mathematics Education Development Research in Teaching- Learning in Practice – Barbara Jaworski
SYMPOSIA
A Framework for Teachers’ Knowledge of Mathematical Reasoning – Sandra Herbert
A Primary Teacher’s Developing Understanding of Mathematical Reasoning – Esther Yook-Kin Loong
Design-based Research for Professional Learning for Cultural Mathematics – Geori Kravia & Kay Owens
Developing Noticing of Reasoning through Demonstration Lessons – Leicha A. Bragg & Colleen Vale
Elementary Teachers in Papua New Guinea’s Professional Learning for Cultural Mathematics – Kay Owens, Vagi Bino, Geori Kravia, Cris Edmonds-Wathen, Priscilla Sakopa, Kila Tau, & Martha Kull
Evaluating the Professional Learning for Cultural Mathematics in Papua New Guinea’s Elementary Schools – Vagi Bino, Priscilla Sakopa, Kila Tau, & Martha Kull
Foundation Content Knowledge: Pre-service Teachers as Half-empty or Becoming Fluent? – Megan Anakin & Chris Linsell
Foundation Content Knowledge: Pre-service Teachers’ Attainment and Affect – Naomi Ingram & Chris Linsell
Foundation Content Knowledge: Providing support for pre-service teachers – Chris Linsell & Naomi Ingram
Personal Number Sense and New Zealand Pre-Service Teachers – Karen Major & Pamela Perger
Pre-service Teachers Mathematics Content Knowledge – Chris Linsell, Megan Anakin, Naomi Ingram, Karen Major, & Pamela Perger
Professional Learning for Cultural Mathematics in Papua New Guinea’s Elementary Schools – Kay Owens, Geori Kravia, Cris Edmonds-Wathen, & Priscilla Sakopa
Students’ Mathematical Reasoning and Teachers’ Developing Understanding of Mathematical Reasoning – Colleen Vale, Leicha Bragg, Sandra Herbert, Esther Loong, & Wanty Widjaja
Technology-Enhancement for Papua New Guinean Professional Learning – Vagi Bino & Cris Edmonds-Wathen
Year 3/4 Children’s Forms of Justification – Wanty Widjaja
RESEARCH PAPERS
Item Context Factors Affecting Students’ Performance on Mathematics Items – Felipe Almuna Salgado & Kaye Stacey
From Arithmetic to Algebra: Sequences and Patterns as an Introductory Lesson in Seventh Grade Mathematics – Diana Grace Aniban, Von Christopher Chua, Jellen Garcia, & Levi Esteban Elipane
Early Career Teachers, Mathematics and Technology: Device Conflict and Emerging Mathematical Knowledge – Catherine Attard & Joanne Orlando
Linking GeoGebra to Explorations of Linear Relationships – Belinda Aventi, Penelope Serow, & Steve Tobias
Undergraduate Mathematics Students’ Pronumeral Misconceptions – Caroline Bardini, Jill Vincent, Robyn Pierce, & Deborah King
Teacher Identity and Numeracy: Evaluating a Conceptual Framework for Identity as a Teacher of Numeracy – Anne Bennison
Towards a Fresh Understanding of the Relationship Between Teacher Beliefs about Mathematics and their Classroom Practices – Kathy Brady
Affordances: Ten Years On – Jill P. Brown & Gloria Stillman
Gender, Parental Beliefs and Children’s Mathematics Performance: Insights from the Longitudinal Study of Australian Children – Colin Carmichael
Primary Students’ Perceptions of their Mathematics Learning – Jill Cheeseman & Angela Mornane
Exploring Group Dynamics of Primary 6 Students Engaged in Mathematical Modelling Activities – Chan Chun Ming Eric
Noticing Critical Incidents in a Mathematics Classroom – Ban Heng Choy
Preliminary Investigations of Pre-service Teacher Numeracy – Audrey Cooke
The Value of Emoticons in Investigating Student Emotions Related to Mathematics Task Negotiation – Fabio D’Agostin
Undergraduate Mathematics Study Groups: What Mathematical Talk Actually Takes Place? – James Dalitz
Asking Questions and Performing Mathematics Identity – Lisa Darragh
The Mathematical Self-belief of Year 7 Students – Nicole Dimarakis, Janette Bobis, Jenni Way, & Judy Anderson
How Students Explain and Teachers Respond – Ove Gunnar Drageset
Why Lesson Study Works in Japan: A Cultural Perspective – Marlon Ebaeguin & Max Stephens
Indigenous Languages and Mathematics in Elementary Schools – Cris Edmonds-Wathen, Priscilla Sakopa, Kay Owens, & Vagi Bino
Development of Fourth-grade Students’ Understanding of Experimental and Theoretical Probability – Lyn English & Jane Watson
A Working Understanding of Numeracy in the Secondary Setting – Elizabeth Ferme
An Investigation of Students’ Errors in Logarithms – Raman Ganesan & Jaguthsing Dindyal
Devising Principles of Design for Numeracy Tasks – Vince Geiger, Merrilyn Goos, Helen Forgasz, & Anne Bennison
Race in the Outback: Investigating Technology Designed to Support Number Development in a Preschool Serving an Under-Resourced Community – Kristy Goodwin & Peter Gould
The Association between Students’ Number Knowledge and Social Disadvantage at School Entry – Peter Gould
Different Versions of the Same Lesson Plan: Implications on the Lesson Design – Jane Greenlees, Sitti Maesuri Patahuddin, & Tom Lowrie
Mathematics Teaching as Praxis – Peter Grootenboer & Christine Edwards-Groves
Developing a ‘Conjecturing Atmosphere’ in the Classroom through Task Design and Enactment – Jodie Hunter
Big Challenges and Big Opportunities: The Power of ‘Big Ideas’ to Change Curriculum and the Culture of Teacher Planning – Chris Hurst
Social Theories of Learning: A Need for a New Paradigm in Mathematics Education – Robyn Jorgensen
Using Coaching to Improve the Teaching of Problem Solving to Year 8 Students in Mathematics – Christine Anestis Kargas & Max Stephens
Probabilistic Reasoning and Prediction with Young Children – Virginia Kinnear & Julie Clark
Will this Net Work?: Development of a Diagnostic Interview – Rose Knight & Vince Wright
The Effect of Professional Learning on Early Algebra Teachers’ Content Knowledge in Nigeria – Omolola Ladele, Christine Ormond, & Mark Hackling
Leading a New Pedagogical Approach to Australian Curriculum Mathematics: Using the Dual Mathematical Modelling Cycle Framework – Janeen Lamb, Takashi Kawakami, Akihiko Saeki, & Akio Matsuzaki
Pre-Service Teachers’ Use of Library Databases: Some Insights – Janeen Lamb, Sarah Howard, & Michael Easey
Using Video Diaries to Record Student Attitudes and Emotions towards Mathematics in Year Three and Year Six Students – Kevin Larkin & Robyn Jorgensen
Teachers Repositioning Culturally Diverse Students as Doers and Thinkers of Mathematics – Generosa Leach, Roberta Hunter, & Jodie Hunter
Learning from Assessment: NAPLAN and Indigenous Students – Gilah Leder & Helen Forgasz
Who is Really Interested in Mathematics? An Investigation of Lower Secondary Students’ Mathematical Role Models – Kester Lee & Judy Anderson
Learning Stories: Making Mathematics Learning Visible – Rachel Lim, Glenda Anthony, & Claire McLachlan
Opportunities to Promote Mathematical Content Knowledge for Primary Teaching – Sharyn Livy & Sandra Herbert
The Impact of an Intervention Program on Student Approaches to Learning: A Case Study – Bernadette Long
Do Students Solve Graphic Tasks with Spatial Demands Differently in Digital Form? – Tom Lowrie, Ajay Ramful,Tracy Logan, & Siew Yin Ho
“I don’t really understand probability at all”: Final Year Pre-service Teachers’ Understanding of Probability – Nicole Maher & Tracey Muir
PPELEM: A “Creative” Interviewing Procedure for Gaining Insights into Teacher and Student Mathematics-related Beliefs – Andrea McDonough & Sarah Ferguson
Does Inquiry Based Learning Affect Students’ Beliefs and Attitudes Towards Mathematics? – Darren McGregor
Young Australian Indigenous Students’ Growing Pattern Generalisations: The Role of Gesture when Generalising – Jodie Miller
Research Guided Practice: Student Online Experiences during Mathematics class in the Middle School – Maria Mojica-Casey, John Dekkers, & Rose-Marie Thrupp
A Reflective Approach to NAPLAN: Exploring the Implications of Students’ Responses to an “Adding Fractions” Item – Patricia Morley
Flipping the Classroom: A Case Study of a Mathematics Methods Class – Tracey Muir & Helen Chick
Developing Young Students’ Meta-Representational Competence through Integrated Mathematics and Science Investigations – Joanne Mulligan & Lyn English
The Complexity of One-Step Equations – Bing Ngu
Defining Mathematical Giftedness – Linda Parish
Online Students’ Perceptions of Interactive Tools to Support Postgraduate Learning of Mathematics – Elena Prieto & Kathryn Holmes
Quantitative Relationships Involving Additive Differences: Numerical Resilience – Ajay Ramful & Siew Yin Ho
Mental Calculation Strategies of a Student Attending a Special School for the Intellectually Disabled – Rumi Rumiati & Robert J. Wright
Connecting Social and Mathematical Thinking: The Use of “Real Life” Contexts – Carly Sawatzki
What Australian Primary School Students Value in Mathematics Learning: A WIFI Preliminary Study – Wee Tiong Seah & Tasos Barkatsas
Newcomers’ Experiences of MERGA 36 – Yvette Semler & Michael Cavanagh
School Mathematics Leaders’ Perceptions of Successes and Challenges of their Leadership Role within a Mathematics Improvement Project – Matt Sexton & Ann Downton
Teacher Practices: How they Promote or Hinder Student Engagement in Mathematics – Karen Skilling
Using Percentages to Describe and Calculate Change – Beth Price, Kaye Stacey, Vicki Steinle, & Eugene Gvozdenko
Students’ Willingness to Engage with Mathematical Challenges: Implications for Classroom Pedagogies – Peter Sullivan, Doug Clarke, Jill Cheeseman, Angela Mornane, Anne Roche, Carly Sawatzki, & Nadia Walker
The Role of Challenging Mathematical Tasks in Creating Opportunities for Student Reasoning – Peter Sullivan & Aylie Davidson
The Technological Enframing of Mathematics Education – Steve Thornton
Beliefs of Teachers Who Teach Intensive One-to-one Intervention about Links to Classroom Teaching – Thi L. Tran & Robert J. Wright
Improving the Effectiveness of the Whole Class Discussion in the Summary Phase of Mathematics Lessons – Nadia Walker
Developing Students’ Functional Thinking in Algebra through Different Visualisations of a Growing Pattern’s Structure -Karina J Wilkie & Doug Clarke
“Change my Thinking Patterns towards Maths”: A Bibliotherapy Workshop for Pre-service Teachers’ Mathematics Anxiety – Sue Wilson & Monica Raven
The Effect of Language, Gender and Age in NAPLAN Numeracy Data – Tim Wilson & Tasos Barkatsas
Symmetrical Measuring: An Approach to Teaching Elementary School Mathematics Informed by Yup’ik Elders – Monica Wong, Jerry Lipka, & Dora Andrew-Ihrke
Supporting the Development of Number Fact Knowledge in Five- and Six-year-olds – Jenny Young-Loveridge & Brenda Bicknell
Fostering the Promise of High Achieving Mathematics Students through Curriculum Differentiation – Simone Zmood
Comparing the Score Distribution of a Trial Computer-Based Examination Cohort with that of the Standard Paper-Based Examination Cohort –Nathan Zoanetti, Magdalena Les, & David Leigh-Lancaster
Arithmetical Strategies of a Student with Down syndrome -Rumi Rumiati
SHORT COMMUNICATIONS
Collegial Peer Observation as a Means of Influencing Change in University Mathematics Teaching – Merrilyn Goos & Paul Hernandez-Martinez
Conceptual Development in Mathematics: Longitudinal Connections from Network Analysis of Multiple Choice Assessments – Geoff Woolcott, Daniel Chamberlain, & Rassoul Sadeghi
Cultural Identities and Mathematics Learning – Angel Mok
Designing Professional Development: Beyond General Principles – Seyum Getenet, Rosemary Callingham, & Kim Beswick
Developing Critical Reflection for Primary School Mathematics Teachers through Laboratory Class Cycle – Lu Pien Cheng
Development of a Set of Mathematical Modelling Rubrics – Siew Yee Lim & Hui Yi Ting
Dyscalculia, from a Teacher’s Perspective – Ann Williams
Early Childhood Educators as Teachers of Mathematics – Susan McDonald & Louise Thomas
Enhancing Mathematics and Science Teacher Education in Regional Australia: Modules for Primary Mathematics Pre-service teachers – Geoff Woolcott, Adam Harris, Jackie Reid, & Robert Whannell
Evidence of Evolutionary Changes in the Nature of Interactions in Fully Asynchronous Online Mathematics Courses – Sven Trenholm
Exploring Mathematics Engagement in the Middle Years of School – Janette Bobis, Jenni Way, & Maryam Khosronejad
Investigating the Representations of Students’ Problem Solving Strategies – Nor Azura Hj Abdullah, Masitah Shahrill, & Maureen Siew Fang Chong
Learning in Undergraduate Mathematics: The Trial of a Delivery Innovation – Bill Barton
Like Topsy, “it just growed”? Or did it? The Ongoing Development of a Strategy Teaching Model – Gregor Lomas
Mathematics and English Teachers’ Views and Expectations of iPads: A Pilot Study – Janelle Hill
Mentoring to Alleviate Anxiety in Pre-Service Primary Mathematics Teachers: Working at the Coal-face without having to Look over your Shoulder – Timothy Perkins
Middle Years Students Using Mathematics to Communicate a Local Issue – Margaret Marshman
Modelled Lessons Raise More Questions than Answers – Louise Hodgson
Multiple Multiplication Methods – Jyoti Jhagroo
Responses to “the Scary Question”: How Teaching Challenges Impact the Use of Knowledge and its Development – Kim Beswick & Helen Chick
Scaffolding Formative Assessment Approach – Visualize Learning – Annika Grotherus
Self-efficacy and Attitude toward Mathematics: A Multigroup Invariance Analysis and Gender Difference – Elizar & I Gusti Ngurah Darmawan
SPOT Diagrams of a Partially Correct Construct – Caroline Yoon
Teachers’ Beliefs and Practice in Teaching Early Algebra – Christina Lee, Omolola Ladele, & Christine Ormond
The Contribution of a Poetics of Mathematics Classroom Interaction to Curriculum Design – John Kusznirczuk
The Development in Integrating Mathematical Modelling into the Curriculum: Results of a Pilot Study – Maureen Siew Fang Chong & Masitah Shahrill
The Flipped Classroom Model: A Literature Review – Duncan Symons & Cath Pearn
The Meaning Making of Meaning Makers “Experienced Mathematics Teachers” Interpretations of their Own Professional Practice – Malin Lindwall Ehrnlund
The Performance Characteristics of Early Education Children in Mainstream Classrooms with Respect to Critical Mathematical Thinking – Chrissy Monteleone, Roger Vallance, & Paul White
Towards an Investigation of the Pedagogical Content Knowledge of University Mathematics Teachers – Greg Oates, John Hannah, David Holgate, & Kevin McLeod
TPACK as an Analytical Tool to Understand Mathematics Teaching with Technology – Sitti Maesuri Patahuddin & Barney Dalgarno
Understanding Media in Mathematics Education: Media and Extensions of the Students – Hiro Ozasa, Takeshi Okawa, & Akio Matsuzaki
Using iPads for Assessment in the Mathematics Classroom – Naomi Ingram & Sandra Williamson-Leadley
Using Metaphors to Investigate Pre-service Primary Teachers’ Attitudes to Mathematics – Kathy Brady & Tiffany Winn
Using Picture Books to Implement the Mathematics Curriculum: The Missed Opportunities – Jennie Marston
What does Ability Mean in Mathematics Learning? – Rose Golds
Why Knowledge of Fractions is Important for Algebraic Readiness in the Middle Years of Schooling – Catherine Pearn
POSTERS
Assessment Literacy among Primary School Mathematics Teachers – Hazel Tan, Ng Kit Ee Dawn, & Cheng Lu Pien
Mathematics Learning and Exceptionality through a Complexity Lens – Rumi Rumiati & Geoff Woolcott
The Ebb and Flow of Themes in 37 years of Mathematics Education Research by MERGA – Harry Kanasa
Using the Interconnected Model of Professional Growth as a Dynamic Tool for School Improvement – Malin Lindwall Ehrnlund
ROUND TABLES
Co-constructing Mathematical Inquiry Communities through Professional Development with Teachers – Roberta Hunter, Jodie Hunter, Zain Thompson, & Trevor Bills
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
Exploring Mindfulness within Mathematics Learning Environments – Joanna Higgins & Raewyn Eden
Factors Influencing Student Decision on Senior Secondary School Subjects – Michael Jennings & Peter Adams
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
Mathematics Support Teacher (MST): How Do We Help Students Maintain Mathematical Gains? – Fiona McDiarmid
Numeracy … Scientificity: Identifying, Linking and Using the ‘Big Ideas’ of Mathematics and Science for More Effective Teaching – Chris Hurst