KEYNOTE ADDRESSES
A Samoan Perspective on Pacific Mathematics Education – Karoline Afamasaga-Fuata’i
Making a Difference: The Early Numeracy Project – Gill Thomas, AndrewTagg & Jenny Ward
Seeking Interventions to Improve Adult Numeracy Instruction in the United States: Hybrids Only Need Apply – Mary Jane Schmitt
The Process of Introducing New Tasks Using Dynamic Geometry into the Teaching of Mathematics – Colette Laborde
What Does it Mean to Teach Mathematics Differently? – Terry Wood
PRACTICAL IMPLICATIONS AWARD
Supporting Beginning Primary Mathematics Teachers through a ‘Fellow Worker’ Professional Development Model – Len Sparrow & Sandra Frid
RESEARCH PAPERS
The Mathematics Enhancement Project: The Pilot Phase – Wilfredo Alangui, Jerry Lane, Jessie Autagavaia, Bill Barton, Judy Paterson, Albert Poleki, Barbara Kensington-Miller, Arnold Van Den Reuvel
Swaps and Switches: Students’ Understandings of Commutativity – Glenda Anthony & Margaret Walshaw
Some Problematics in International Collaboration in Mathematics Education – Bill Atweh & Phil Clarkson
Effectiveness and Efficiency of Calculator Use for Computation in Years 8-10 – Jack Bana & Rachel Shipley
Secondary Mathematics Teachers’ Beliefs About Teaching and Learning: Some Significant Factors – A. N. Barkatsas & J. A. Malone
Rethinking Curriculum: A Developer’s Perspective – Andy Begg
Development of Understanding of Place Value – Jeanette Bennan
Teacher Beliefs: Probing the Complexities – Kim Beswick
Curriculum and the Reality of Primary Teachers – Fred Biddulph, Merilyn Taylor, Ngarewa Hawera & Judy Bailey
Mental Computation Competence Across Years 3 to 10 – Rosemary Callingham & Alistair McIntosh
Exploring Mental Computation in the Middle Years – Annaliese Caney
Secondary Teachers’ Attitudes toward Probability and their Teaching Strategies – Lynn Carlson & Helen Doerr
Evaluating Pre-service Teachers’ Understanding of Middle School Mathematics – Helen Chick
A Problem-Based Schema Analysis in Algebra – Mohan Chinnappan
Year 3 Children’s Understanding of Fractions: Are we Making Progress? – Mohan Chinnappan & Michael Lawson
Drill, Examinations and the Learning of Mathematics – Ken Clements
Teacher Perspectives on Derivative – Alan Gil delos Santos & Michael Thomas
Summing up the Education of Mathematically Gifted Students – Carmel Diezmann & James Watters
Summative and Formative Assessment: Creating a Tool for Improving Learning – Brian Doig & John Lindsey
Maths Anxiety Self-assessment as a Quality Assurance Measure – Shelley Dole & Kim Beswick
Using CSCL Methods in Secondary Mathematics – Sabita M. D’Souza & Leigh N. Wood
Assessing the Potential Suitability of “Show That” Questions in CAS-Permitted Examinations – Peter Flynn & Gary Asp
Computers For Learning Mathematics: Equity Considerations – Helen J. Forgasz
An Investigation of Disjuncture between Graphing in School Mathematics and School Physics – Patricia A. Forster
The Sherpa-Student Role with a Graphics Calculator: Empowering or Disempowering? – Pat Forster, Peter Taylor & Craig Davis
Convergence or Divergence? Students, Maple, and Mathematics Learning – Peter Galbraith & Mike Pemberton
Matching the Hatch – Students’ Choices and Preferences in Relation to Handheld Technologies and Learning Mathematics – Vince Geiger, Merrilyn Goos, Peter Galbraith & Peter Renshaw
Intervention in Mathematics: Is Assistance More Effective in Grade 1 or Grade 2? – Ann Gervasoni
Beginning Teachers and Technology: Developing Identities as Teachers – Merrilyn Goos
Affective Development in Mathematics: A Case Study of Two Preservice Primary School Teachers – Peter Grootenboer
One Student’s Understanding of the Concept of Function – Channarong Heingraj & Mal Shield
Inaccurate Mental Addition and Subtraction: Causes and Compensation – Ann M. Heirdsfield
Single or Combination Grades in Mathematics in the Early Years – Marj Horne
A Model for Teaching Numeracy Strategies – Peter Hughes
Visualising and the Move from Informal to Formal Linear Measurement – Kathryn C. Irwin & Fiona Ell
Variation in a Chance Sampling Setting: The Lollies Task – Ben A. Kelly & Jane M. Watson
Textbooks: An Investigation of their Visual Attractiveness – Gillian Kidman
Pedagogical Content Knowledge Development of Preservice Secondary Mathematics Teachers – Jamie King & Joanna Masingila
Teacher Development for Inquiry Based Instructional Practice in Mathematics: A Poststructuralist Postscript – Mary Klein
Patterns of Misperceptions in Linear Transformations: Four Illustrations – Martin Lamb & Sam Leong & John Malone
Differential Pathways of Leaming: How Four Low-Achieving Undergraduate Students used a Graphics Calculator – Martin Lindsay
Characterising Secondary School Mathematics Lessons Using Teachers’ Pedagogical Concept Maps – Sanka Liyanage & Michael Thomas
Interpreting and Constructing Models in Computer Environments: Lego Blocks and Spatial Reasoning – Tom Lowrie
Making Connections Between Simulated and “Real” Worlds: Young Children Interpreting Computer Representations – Tom Lowrie
Use of Graphics Calculators in School Tests and Examinations – John Malone, Pat Forster, David Haimes, Ute Mueller
Measurement and its Relationship to Mathematics: Complexity within Young Children’s Beliefs – Andrea McDonough
Common Errors in Mental Computation of Students in Grades 3 – 10 – Alistair McIntosh
Horse Power or Empowerment? Mathematics Curriculum for Maori – Trojan Horse Revisited – Colleen McMurchy-Pilkington (Ngati Pikiao) & Tony Trinick
Aspects of Written Performance in Mathematics Learning – Tamsin Meaney
A Comparison of Novice and Expert Views of the Features of Quality Mathematics Teaching – Judith Mousley & Georgina Herbert
The Role of Structure in Children’s Development of Multiplicative Reasoning – Joanne Mulligan
Fostering Authentic, Sustained and Progressive Mathematical Knowledge-Building Activity in CSCL Communities – Rod Nason, Earl Woodruff & Richard Lesh
Rethinking Curriculum: An Ethical Perspective – Jim Neyland
Year Seven Students’ Representation of Numerical Data: The Influence of Sample Size – Steven Nisbet
The Role of Models and Representations in the Development of Multiplicative Thinking – Helen Norbury
The Transition from Concrete to Abstract Decimal Fractions: Taking Stock at the Beginning of 6th Grade in German Schools – Friedhelm Padberg
A Systemic Program for Students Who Are Experiencing Difficulty with Mathematics as They Transition from Elementary to High School in Australia – Bob Perry & Peter Howard
Beliefs of Primary Teachers about Mathematics and its Teaching and Learning: Views from Singapore, Philippines, Mainland China, Hong Kong, Taiwan and Australia – Bob Perry, Catherine Vistro-Yu, Peter Howard, Ngai-Ying Wong Fong Ho Keong
Real-world Problem Solving in Small Groups: Interaction Patterns of Third and Fourth Graders – Andrea Peter-Koop
Statistical Thinking and Transnumeration – Maxine Pfannkuch, Amanda Rubick, Caroline Yoon
Monitoring Effective Use of Computer Algebra Systems – Robyn Pierce & Kaye Stacey
Student Difficulties in Abstracting Angle Concepts from Physical Activities with Concrete Materials – Anne Prescott, Michael Mitchelmore & Paul White
Children’s Difficulties with Base-Ten Numbers: “Face-Value” and “Independent-Place” Constructs – Peter Price
The Role of Professional Development in Using Calculators in a Sample of Queensland Primary Schools – Ian Putt & Mal McLean
Investigating Textbook Presentations of Ratio and Proportion – Mal Shield & Shelley Dole
Reflections on the Middle Years Numeracy Research Project – Is It a Case of Too Much Too Soon, For Too Many? – Di Siemon & Jo Virgona
Positioning the Personal in Mathematics Teacher Education Through Pedagogical Conversations – Tracey Smith
Further Evidence of Conceptual Difficulties with Decimal Notation – Vicki Steinle & Kaye Stacey
Exploring Teachers’ Knowledge for Teaching Mathematics – Peter Sullivan, Jo Virgona, Di Siemon, Maria Lasso
Contexts in Mathematics Teaching: Snakes or Ladders? – Peter Sullivan, Robyn Zevenbergen & Judith Mousley
Professional Development of Teachers of Mathematics Through Extended Collegial Dialogue: The ACT Mathematics Quality Teacher Program – Steve Thornton & Kerrie Blain
Preservice Work Within Schools: Teaching Knowledge in Production -Margaret Walshaw
Arithmetic and Quasi-variables: A Year 2 Lesson to Introduce Algebra in the Early Years – Elizabeth Warren & Tom Cooper
Variation as Part of Chance and Data in Grades 7 and 9 – Jane M. Watson & Ben A. Kelly
Research into Teacher Beliefs: Can the Past Stop Endless Repetition? – Allan Leslie White
Identifying Tasks that Promote Creative Thinking in Mathematics: A Tool – Gaye Williams
Spatial Reconstructions from Primary Children’s Drawings – Bernd Wollring
Boys’ Motivational Goals in Mathematics During the Transition from Single Sex Education to Co-Education – Shirley M. Yates
Validation of the New Zealand Number Framework – Jenny Young-Loveridge & Vince Wright