2022 Conference Proceedings

CLEMENTS FOYSTER LECTURE

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

RESEARCH 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-Motor Integration (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