Full Conference Proceedings
CLEMENTS FOYSTER KEYNOTE ADDRESS
The 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 Mathematics Teachers
Elana Nardi
Teaching to Learning and Research to Practice: Bridging the Fractal Divides
Peter Liljedahl
SYMPOSIA
Mathematical Sequences of Connected, Cumulative and Challenging Tasks in the Early Years
Janette Bobis, Ellen Corovic, Ann Downton, Maggie Feng, Jane
Hubbard, Sharyn Livy, Melody McCormick, James Russo, Peter Sullivan
Supporting the Leadership of Mathematics in Schools
Jill Cheeseman, Ann Gervasoni, Aylie Davidson, Ann Downton, Sharyn
Livy, James Russo Colleen Vale, Carmel Delahunty, Penelope
Kalogeropoulos, Marj Horne, Michele Klooger
Key Shifts in Thinking in the Development of Mathematical Reasoning
Dianne Siemon, Max Stephens, Lorraine Day, Marj Horne, Rebecca
Seah, Rosemary Callingham, Jane Watson, Greg Oates
RESEARCH PAPERS
Comparative Effectiveness of Example-based Instruction and van Hiele Teaching Phases on Mathematics Learning
Saidat Morenike Adeniji, Penelope Baker
Senior High School Students’ Perceptions of Mathematics Teachers’ Assessment Practices in Ghana
Fred Adusei Nsowah, Robyn Reaburn
Pre-service Teachers’ Re-constructed Geometry Disposition Scale: A Validity and Reliability Study in the Ghanaian Context
Stephen Rowland Baidoo, Robyn Reaburn, Greg Oates
Developing Pre-service Teachers’ Understanding of Numeracy
Anne Bennison
Exploring Visual Representations of Multiplication and Division in Early Years South African Mathematics Textbooks
Tammy Booysen, Lise Westaway
Mathematics and Coding: How Did Coding Facilitate Thinking?
Nigel Calder
Understanding the Relationship Between Cognitive Activation and Academic Emotions: A Comparison Between Students with Different Mathematics Achievements
Xin Chen
Reflection Model to Facilitate Teachers’ Adoption of the Constructivist Learning Design
Lu Pien Cheng, Gayatri Balakrishnan, Zi Yang Wong, Ngan Hoe Lee
Considerations for Teaching with Multiple Methods: A Case Study of Missing value Problems in Proportionality
Sze Looi Chin, Ban Heng Choy, Yew Hoong Leong
Procedural Flowcharts Can Enhance Senior Secondary Mathematics
Musarurwa David Chinofunga, Philemon Chigeza, Subhashni Taylor
Making Visible a Teacher’s Pedagogical Reasoning and Actions Through the Use of Pedagogical Documentation
Ban Heng Choy, Jaguthsing Dindyal, Joseph B. W. Yeo
Perceptions of the Role of Primary Mathematics Leaders
Kate Copping
Resource Materials as Structured Guidance in Practice Change
Ellen Corovic, Ann Downton
Designing an Early Number Sequence for Teaching
José Luis Cortina, Jana Višňovská, Jesica Peña, Claudia Zúñiga
Teacher Agency and Professionalism in the Context of Online Mathematics Instructional Platforms
Lisa Darragh
Primary School Mathematics Leaders’ Actions that Facilitate Effective Mathematics Planning and Support Teachers’ Professional Learning
Kerryn Driscoll
School Mathematics Leaders’ Support of Primary Teachers’ Professional Learning in Meetings
Kerryn Driscoll, Jill Cheeseman
Methodological Choices Made When Using Design Based Research to Explore Mathematics Education: An Updated Analysis
Samuel Fowler, Chelsea Cutting, Deborah Devis, Simon Leonard
One Teacher’s Pedagogical Actions in Eliciting and Developing Mathematical Reasoning Through a Contextually Relevant Task
Lauren Frazerhurst, Generosa Leach
How Big is a Leaf? Using Cognitive Tuning to Explore a Teacher’s Communication Processes to Elicit Children’s Emerging Ideas About Data
Kym Fry, Lyn English, Katie Makar
Designing Specific Tools to Enhance the Numeracy of Adults with Intellectual Disabilities
Lorraine Gaunt
A Typology for Instructional Enablers of Mathematical Modelling
Vince Geiger, Peter Galbraith, Mogens Niss, Ben Holland-Twining
George Preferred Learning Fraction Concepts with Physical Rather than Virtual Manipulatives
Seyum Getenet
The Role of Technologies to Enhance Pre-service Teachers’ Engagement in an Online Mathematics Education Course
Seyum Getenet, Sue Worsley, Eseta Tualaulelei, Yosheen Pillay
Developing Proficiency with Teaching Algebra in Teacher Working Groups: Understanding the Needs
Vesife Hatisaru, Helen Chick, Greg Oates
Regarding STEM: Perceptions of Academics Revealed in Their Drawings and Text
Vesife Hatisaru, Andrew Seen, Sharon Fraser
Development of the Self-Efficacy-Effort in Mathematics Scale and its Relationship to Gender, Achievement, and Self-concept
Ian Hay, Yvonne Stevenson, Stephen Winn
Teacher STEM Capability Sets that Support the Implementation of Mathematics Active STEM Tasks
Ben Holland-Twining, Vince Geiger, Kim Beswick, Sharon Fraser
Assessing Mathematical Competence Through Challenging Tasks
Jane Hubbard, James Russo, Sharyn Livy
Developing Equitable Participation Structures
Roberta Hunter, Jodie Hunter
“It has the same numbers, just in a different order”: Middle School Students Noticing Algebraic Structures Within Equivalent Equations
Jodie Hunter, Jodie Miller, Alexandra Bowmar, Ian Jones
Using Waiata in Mathematics Teaching: Te Whakamahia o te Waiata I roto I te Pākarau
Naomi Ingram, Amie Curtis
Influence of the COVID-19 Lockdown on High School Mathematics Teachers’ Beliefs About Using Digital Resources
Mairaj Jafri
Playing the “Research Game” in Marginalised Fields
Robyn Jorgensen, Mellony Graven
Are Learners Referring to the General or the Particular? Discursive Markers of Generic Versus Empirical Example-use
Jo Knox, Igor’ Kontorovich
Impact of Listening Pedagogy on Mathematics Teacher Thinking During Lesson Study
Aneesah Latife
Preparing Job-embedded Primary Mathematics Specialists to Lead in Australian Schools
Laurinda Lomas
Aligning Mathematical and Musical Linear Representations to Support Fractional Reasoning
Tarryn Lovemore, Sally-Anne Robertson, Mellony Graven
Linguistic Influences on Mathematics Learning: The Relations between Spacing/Spatial Relationship in Handwriting Legibility, Visual-MotorIntegration (VMI), and Number Line Estimation
Hong Lu, Xin Chen
The Role of Mathematics Anxiety and Attitudes in Adolescents’ Intentions to Study Senior Science
Erin Mackenzie, Kathryn Holmes, Nathan Berger
Identities of Mathematics Teacher Educators in a “Hybrid” Mathematics and Mathematics Education Department
Margaret Marshman, Anne Bennison, Merrilyn Goos
Diagrams in Mathematics: What Do They Represent and What Are They Used For?
Manju Manoharan, Berinderjeet Kaur
A Comparison of Classroom Pedagogical Practice Named by Middle School Mathematics Teachers in Australia and Chile
Carmel Mesiti, Valeska Grau, David D. Preiss, Amaya Lorca
Teacher Questioning to Support Young Students to Interpret and Explain Their Critical Mathematical Thinking
Chrissy Monteleone
The Role of Mathematics Learning in the Interdisciplinary Mathematics and Science (IMS) Project
Joanne Mulligan, Russell Tytler, Vaughan Prain, Peta White, Lihua Xu,
Melinda Kirk
Exploring the Alignment Between Pre-service Mathematics Teachers’ Beliefs and Espoused Practice
Monica Mwakifuna, Carol Murphy
A Snapshot of Gender and Mathematics Anxiety in Years 5 to 8
Lisa O’Keeffe, Bruce White, Amie Albrecht, Melanie O’Leary
Numeracy Across the Curriculum in Initial Teacher Education
Kathy O’Sullivan, Merrilyn Goos
Teacher Actions to Progress Mathematical Reasoning of Five-year-old Students
Emily Pearce, Roberta Hunter
Wicked Problems as a Context for Probability Education
Theodosia Prodromou, Chronis Kynigos
Embodied Task to Promote Spatial Reasoning and Early Understanding of Multiplication
Susilahuddin Putrawangsa, Sitti Patahuddin
Evaluating Factors that Influence Young Children’s Attitudes Towards Mathematics: The Use of Mathematical Manipulatives
Kate Quane
Problem-solving Proficiency: Prioritising the Development of Strategic Competence
Bronwyn Reid O’Connor
Using Enabling and Extending Prompts in the Early Primary Years When Teaching with Sequences of Challenging Mathematical Tasks
James Russo, Janette Bobis, Anne Downton, Sharyn Livy, Peter Sullivan
Solving Multistep Problems: What Will It Take?
Rebecca Seah, Marj Horne
Building Understanding of Algebraic Symbols with an Online Card Game
Jiqing Sun
Primary Teachers’ Mathematical Self-concept and its Relationship with Classroom Practice
Matt Thompson, Catherine Attard, Kathryn Holmes
Teacher Views of Parent Roles in Continued Mathematics Home Learning
Pamela Vale, Mellony Graven
Supporting Pāsifika Students in Mathematics Learning
Mepa Vuni, Generosa Leach
Exploring the Potential for Student Development of the Big Ideas of Statistics with Random Trials: The Case of the Mystery Spinner
Jane Watson, Noleine Fitzallen
A Call for Translational Research in Embodied Learning in Early Mathematics and Science Education: The ELEMS Project
Jennifer Way, Paul Ginns
The Nature of Research on Pre-service Teachers’ Mental Mathematics: A Brief Systematic Review
Lise Westaway, Pam Vale
The Role of Mathematics Education in Developing Students’ 21st Century Skills, Competencies and STEM Capabilities
Racheal Whitney-Smith, Derek Hurrell
Using Mathematics Curriculum Materials When Planning on Practicum: A Case Study of One Primary Year Three Pre-service Teacher
Susanna Wilson
Student Perspectives of Engagement in Mathematics
Kristin Zorn, Kevin Larkin, Peter Grootenboer
ROUND TABLES
A Multifaceted Project Design to Understand and Build the Strengths of Out-of-field Secondary Mathematics Teachers
Judy Anderson, Jannette Bobis, Kathryn Holmes, Helen Watts
Numeracy ≠ Mathematics: Numeracy and the General Public
Helen Forgasz
Intended Versus Enacted Curriculum: Teacher Knowledge and Curriculum Change at the Senior Secondary Level
Michael Jennings, Merrilyn Goos
What Makes Effective Leadership When Implementing Research-based, Equity driven Professional Learning and Development?
Jodie Hunter, Roberta Hunter, Viliami Latu, Robin Staples, Bridget
Wadham
SHORT COMMUNICATIONS
Teacher Practices in the Mathematics Classroom Following Professional Learning and Development: Association with Student Outcomes
Alexandra Bowmar, Roberta Hunter
Raising Teacher Expectations of Students’ Capabilities by Examining Student Work Samples
Geraldine Caleta, Tammy Roosen
Concept Maps as a Resource for Teaching and Learning of Mathematics
David Chinofunga, Philemon Chigeza, Subhashni Taylor
Use and Development of Mathematical Processes During an Online Escape Game
Megan Clune
Repurposing Bronfenbrenner’s Ecological Theory to Focus on Very Young Preverbal Children’s Mathematical Engagement
Audrey Cooke
Challenges to Inclusive Teaching of Mathematicsin Aotearoa New Zealand
Lisa Darragh, Fiona Ell, Missy Morton, Jude MacArthur
Investigating High School Students’ Understanding of Decomposition Techniques in Mathematics
Michael Dennis
Co-teaching Mathematics in Flexible Learning Spaces: What is the Effect on Pedagogy and Achievement?
Peter Dennis
A Comparison of Rational Number Word Problem Types Across Three Grade 4to 6 South African Textbook Series
Demi Edwards
Senior Secondary Probability Assessment Task Support for Development of Thinking Skills
Heather Ernst
Finding
Effective Methods for Mathematics Learning: Concept Mapping as an Assessment Task
Tanya Evans, Inae Jeong
Pedagogical Factors Predicting Mathematics Achievement: Analysis of the TIMSS 2019 Large-scale Data
Tanya Evans, Timothy Bickers, Josephine Greenwood
Investigating Students’ Engagement with Teach-first and Task-first Lesson Structures Incorporating Challenging Mathematical Tasks
Maggie Feng, Jannette Bobis, Jennifer Way
Making the Invisible, Visible: Supporting Numeracy in the Arts
Elizabeth Ferme
Enabling Students’ Critical Mathematical Thinking
Vince Geiger, Kim Beswick, Jill Fielding, Thorsten Scheiner, Gabriele
Kaiser, Merrilyn Goos
Difficult Progressions in Multiplicative Thinking for Primary Students
Ann Gervasoni, Kerry Giumelli, Barbara McHugh, Paul Stenning
Mathematics Teacher Noticing: Adapting Practices in the Online Environment
Anita Green
Application of the Legitimation Code Theory to the Draw a Mathematician and Draw a Mathematics Classroom Research
Vesife Hatisaru
Exploring the Incentive to Study a Higher-level Mathematics Course at Secondary School: A Western Australian Perspective
Gregory Hine
Understanding Mathematical Identities of Learners Who Chose Mathematical Literacy in High School After Participating in After-school Mathematics Clubs in Primary School Wellington
Munetsi Hokonya
Teaching Demands for Mathematical Explorations
S. Jaysaree
Enhancing Mathematics Teachers’ Pedagogical Content Knowledge in Communities of Practice
Osman Kasimu, Carol Murphy, Vesife Hatisaru, Robyn Reaburn
Spatialising the Pedagogy: Directions for Future Research
Tracy Logan, Tom Lowrie, Ilyse Resnick, Danielle Harris
Towards Increasing Interest in Teaching School Mathematics as a Career
Houry Melkonian, Katie Makar
Addressing the Learning Gap Through Talk in Mathematics Classrooms
Carol Murphy, Tracey Muir, Damon Thomas
Mathematics Homework and Intergenerational Reproduction of Confidence
Lisa O’Keeffe, Carolyn Clarke, Sarah McDonald, Barbara Comber
Learners’ Affective Field During the COVID-19 Pandemic: Predicting Perceptions of Impact on Learning
Kaitlin Riegel
Working On and With Verbal, Visual and Gestured Confluences in Mathematical Meaning-making
Sally-Ann Robertson, Mellony Graven
The Use of iPads in the Early Years: Investigating the Effectiveness of Apps in Mathematics Learning
Rebekah Strang
Beyond the Arithmetic Operation: How an Equal Sign is Introduced in the Chinese Classroom
Jiqing Sun
Is it “off-task”? Non-game Interaction During Game-based Mathematics Learning
Jiqing Sun
Action Learning as a Tool for Teachers: A Case of Promoting Self-regulated Learning Pedagogy to Secondary Mathematics and Science Teachers
Tamsyn Terry, Sitti Patahuddin
Designing Inquiry Tasks in Primary Mathematics
Kristen Tripet, Ruqiyah Patel, Olive Chapman
Developing Primary Teachers’ Teaching Practices Through Communities of Inquiry
Kristen Tripet, Jannette Bobis, Olive Chapman
Learning Mathematics as a Child of a So-called “Tiger Mother”
Daya Weerasinghe
The Influence of Traditional Mathematics Teaching and Assessment on the Pedagogical Use of Technology
Benjamin Zunica