2002 Conference Proceedings

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

A Poststructuralist Perspective on the Productive Power of Process in Mathematics. Education: Practical Implications for Pedagogy and Research – 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