KEYNOTE ADDRESSES
Creating Learning Spaces – Merrilyn Goos
New Directions for Research on Mathematical Problem Solving – Richard Lesh
PRACTICAL IMPLICATIONS AWARD
To heal and enthuse: Developmental bibliotherapy and pre-service primary teachers’ reflections on learning and teaching mathematics – Sue Wilson and Steve Thornton
SYMPOSIA
Becoming a teacher of mathematics: Wenger’s social theory of learning perspective – Tracey Smith
Bringing feminist poststructuralism to bear on [mathematics] teacher education – Will Letts
Researching Identity in Mathematics Education: The Lay of the Land – Peter Grootenboer, Tracey Smith and Tom Lowrie
Teacher Identity from a Bourdieuian Perspective – Robyn Zevenbergen
RESEARCH PAPERS
Game Playing to Develop Mental Computation: A Case Study – Paula Asplin, Sandra Frid and Len Sparrow
Grade12 Mathematics Teachers’ Views on Curriculum Reform in New South Wales – Paul Ayres and John McCormick
Pedagogical Content Knowledge for Teaching Primary Mathematics: A Case Study of Two Teachers – Monica Baker and Helen Chick
Teachers’ Confidence and Beliefs and their Students’ Attitudes to Mathematics – Kim Beswick, Jane Watson and Natalie Brown
Investigating Parental Roles of Mathematically Gifted Students – Brenda Bicknell
Authentic Learning in a Year 8 Classroom – Kathy Blum
Reform-Oriented Teaching Practices and the Influence of School Context – Janette Bobis and Judy Anderson
Transforming Practice: Using Collective Argumentation to bring about Teacher Change in a Year 7 Mathematics Classroom – Raymond Brown and Peter Renshaw
Identifying At-Risk Students: Is it Possible in a Tertiary Preparation Course for Adults?– Colin Carmichael, Peter Dunn and Janet Taylor
Mathematics Teachers and Working Mathematically: Responses to Curriculum Change – Michael Cavanagh
Examining the Changed Role of Numeracy Coordinators – Jill Cheeseman and Doug Clarke
The Numeracy Journey: How Long Does it Take to get on Board? – Linda Cheeseman
Probing Teachers’ Pedagogical Content Knowledge: Lessons from the Case of the Subtraction Algorithm – Helen L. Chick, Thuy Pham and Monica K. Baker
Historical Perspectives on Mathematical Elegance: To What Extent is Mathematical Beauty in the Eye of the Beholder? – Ken Clements and Nerida Ellerton
Many Dimensions: the Complex Picture of Student Encounters with a Computer Algebra System – Mary Coupland and Kate Crawford
The Leaving Certificate in New South Wales from 1939 to 1962 – Stephen Curtis
Primary Students’ Knowledge of and Errors on Number Lines – Carmel M. Diezmann and Tom Lowrie
The Singaporean Mathematics Curriculum: Connections to TIMSS – Jaguthsing Dindyal
Organisational Structure for Mathematical Modelling – Katherine Doyle
Introducing Young Children to Complex Systems through Modelling – Lyn English
A Model of Students’ Statistical Thinking and Reasoning about Graphs in an ICT Environment – Noleine Fitzallen
Australian year 12 “Intermediate” level mathematics enrolments 2000-2004: Trends and patterns – Helen J. Forgasz
A Justification for Mathematical Modelling Experiences in the Preparatory Classroom – Jillian Fox
Real World Problems: Developing Principles of Design – Peter Galbraith
Identifying Key Transition Activities for Enhanced Engagement in Mathematical Modelling – Peter Galbraith, Gloria Stillman and Jill Brown
Standing on the Outside: A Tale of How Technology Can Engage Those Working on the Margins of a Community of Inquiry – Vince Geiger
Living in the Gap: A Tale of Two Different Types of Researchers – Vince Geiger and Merrilyn Goos
One-Third is Three-Quarters of One-Half – Peter Gould, Lynne Outhred and Michael Mitchelmore
Mathematics Educators: Identity, Beliefs, Roles and Ethical Dilemmas – Peter Grootenboer
The Role of Abstraction in Learning about Rates of Change – Ibrahim Hassan and Michael Mitchelmore
Maori Preservice Primary Teachers’ Responses to Mathematics Investigations – Ngarewa Hawera
Issues in Teaching Mathematics to Aboriginal Students – Peter Howard and Bob Perry
Students in a Mathematical Community of Inquiry: What do They Think? – Jodie Hunter
Structuring the Talk Towards Mathematical Inquiry – Roberta Hunter
The Development of a Community of Practice and its Connection with Mentoring in Low Socio-Economic Secondary Schools in New Zealand – Barbara Kensington-Miller
What to Leave Out When Preservice Mathematics Education goes from Four Years to One: A Poststructural Account – Mary Klein
Catering for Individual Differences: Lessons Learnt from the Australian Mathematics Competition – Gilah C. Leder
Departing from the Traditional Long Division Algorithm: An Experimental Study – Issic Leung, Regina Wong and Wai-sum Pang
In the Hands of the Learner: The Impact of Self-Assessment on Teacher Education – Sandi Tait-McCutcheon and Brenda Sherley
Emerging Issues in the Investigation of the Construct of Partitive Quotient – Lucas McGee, Lisa Kervin and Mohan Chinnappan
What does Effective Teaching for Numeracy Look Like? The Design of an Observation Schedule – Tracey Muir
Improving Early Numeracy Through a Pattern and Structure Mathematics Awareness Program (PASMAP) – Joanne Mulligan, Marina Papic, Anne Prescott and Mike Mitchelmore
Building Powerful Understanding by Connecting Informal and Formal Knowledge – Trish O’Toole
‘Is that right?’: Asking questions and appealing for help in mathematics – Angela Page
Using the Internet in Teaching Mathematics in Primary School – Sitti Maesuri Patahuddin and Shelley Dole
Linking Powerful Mathematical Ideas and Developmental Learning Outcomes in Early Childhood Mathematics – Bob Perry, Sue Dockett, Elspeth Harley and Nicole Hentschke
The Notion of Carried-Number, between the History of Calculating Instruments and Arithmetic – Caroline Poisard
An Investigation of Pre-service Secondary Mathematics Teachers’ Beliefs as They Begin Their Teacher Training – Anne Prescott and Michael Cavanagh
Promoting Change in Teacher Practices: Investigating Factors which Contribute to Sustainability – Ruth Pritchard and Fiona McDiarmid
The VideoPaper: Issues in Implementation of a Multimedia Tool for Professional Self-Dialogue and Communication in Mathematics Education – Robin Rider and Robert Hunting
Mathematical Teacher Professional Development Incorporating an External Critical Friend – Pauline Rogers
Unpacking the Rules of Class Discussion: Young Children Learning Mathematics within a Community of Inquiry – Abigail Sawyer
Self-Study Through Narrative Inquiry: Fostering Identity in Mathematics Teacher Education – Tracey Smith
Describing and Exploring the Power of Relational Thinking – Max Stephens
Student Thinking about Eigenvalues and Eigenvectors: Formal, Symbolic and Embodied Notions – Sepideh Stewart and Michael O. J. Thomas
Developing Guidelines for Teachers Helping Students Experiencing Difficulty in Learning Mathematics – Peter Sullivan, Judy Mousley and Robyn Zevenbergen
Moving into Third Space: High School Students’ Funds of Knowledge in the Mathematics Classroom – Steve Thornton
Equity and Technology: A Case Study – Colleen Vale
Scaffolding Numeracy: Pre-service Teachers’ Perspective – Irina Verenikina and Mohan Chinnappan
Classroom Arrangements That Benefit Students – Margaret Walshaw and Glenda Anthony
Supporting Learning in Early Algebra: A Model of Professional Learning – Elizabeth Warren
Teacher Professional Development in Patterns and Algebra: Being Sensitive to a Teacher’s Zone of Proximal Development – Elizabeth Warren, Tom Cooper and Janeen Lamb
Teachers’ Knowledge of their Students as Learners and How to Intervene – Jane Watson, Kim Beswick and Natalie Brown
Spreadsheets in Year 5 Chance and Data: A Professional Development Experience – Anne Williams
Student-Engineered ‘Space to Think’ – Gaye Williams
Cognitive and Metacognitive Aspects of Mathematical Problem Solving: An Emerging Model – Asmamaw Yimer and Nerida F. Ellerton
Students’ Perspectives on the Nature of Mathematics – Jenny Young-Loveridge, Merilyn Taylor, Sashi Sharma and Ngarewa Hawera
Using ICTs to Support Numeracy Learning Across Diverse Settings – Robyn Zevenbergen and Steve Lerman
SHORT COMMUNICATIONS
Breaking the Cycle: Maths Anxiety and Pre-service Primary Student Teachers – Gillian Frankcom
Developing Identity as a Mathematical Thinker – Kay Owens
Engagement of Boys in Middle School Mathematics – Beth Southwell and Catherine Attard
Frameworks: Climbing Aids or Entrapments? – Vince Wright and Jenny Young-Loveridge
If You Don’t Listen to the Teacher, You Won’t Know What to Do – Pamela Perger
Inaccurate Mental Computation: Identifying Flawed Thinking – Ann M. Heirdsfield and Janeen T. Lamb
Primary Pre-service Teachers’ Understanding of Place Value – Romina Jamieson-Proctor
Teacher Misconceptions about Projectile Motion – Anne Prescott and Michael Mitchelmore
The Initial Professional Development of Teachers Learning to Use a Framework for Determining Students’ Strategic Thinking – Peter Hughes
Understanding mathematics anxiety in a New Zealand secondary classroom – Naomi Ingram
ROUND TABLES
Approaches for Teaching the Division of Fractions – Leyton Walker
Keeping it Going: Challenges in Sustaining Numeracy Practice – Deborah Gibbs and Marilyn Holmes
Non-specialist teachers of mathematics: Pedagogical challenges in the Middle Years of Schooling – Barbara Tadich
The use of hand-held technology in the learning of statistical concepts – Derek Smith