2004 Conference Proceedings

TABLE OF CONTENTS

KEYNOTE ADDRESSES

Australian Mathematics Learning in an International Context – Barry McGaw

Mathematics Education for the Third Millennium: Visions of a future for handheld classroom technology – Stephen Arnold

MERGA: A Community of Practice – Glenda Anthony

SYMPOSIA

ICT-Numeracy Practices in a School Serving a Disadvantaged Community – Peter D. Renshaw

Researching Numeracy Teaching and Learning with ICT: Facing the Problems of Innovation – Steve Lerman

Scaffolding and Problem Posing: Supporting Student Engagement – Chris Judd

Using ICTs to Support Numeracy Learning: The way of the future? Whose future? – Robyn Zevenbergen

RESEARCH PAPERS

A Novice Teacher’s Conception of the Crucial Determinants of his Teaching of Beginning Algebra – Cecilia Agudelo-Valderrama

The Influence of Perceived Constraints on Teachers’ Problem-Solving Beliefs and Practices – Judy Anderson, Peter Sullivan and Paul White

Towards a Model of Social Justice in Mathematics Education and its Application to Critique of International Collaborations – Bill Atweh

Understandings of the Implications of the Treaty of Waitangi in Mathematics Programs – Robin Averill, Dayle Anderson, Herewini Easton and Anne Hynds

The Relationship between the Estimation and Computation Abilities of Year 7 Students – Jack Bana and Phuntsho Dolma

Equity and Empowerment in Mathematics: Some Tensions From the Secondary Classroom – Hannah Bartholomew

The Mathematical Discourse of Advanced Undergraduate Mathematics – Bill Barton, Robert Chan, Chris King and Phillipa Neville-Barton

The Mathematics of Indigenous Card Games: Implications for Mathematics Teaching and Learning – Annette R Baturo, Stephen Norton and Tom J Cooper

Talking and Writing About the Problem Solving Process – Kim Beswick and Tracey Muir

Time, Resources, Information Overload and Classroom Management: Issues surrounding Professional Development – Janette Bobis

Teacher Approaches to Graphing a Difficult Cubic Function – Jill Brown

Can the Notion of Affordances be of Use in the Design of a Technology Enriched Mathematics Curriculum? – Jill Brown, Gloria Stillman and Sandra Herbert

Developing Geometrical Reasoning – Margaret Brown, Keith Jones, Ron Taylor and Ann Hirst

Integrating Everyday and Scientific Ways of Knowing Mathematics Through Forms of Participation in Classroom Talk – Raymond Brown and Peter Renshaw

Shaping Understanding: How Does Investigating in a Spreadsheet Environment Affect the Conversations of Initial Training Students Doing Mathematics? – Nigel Calder

Primary Students’ Understanding of Proof – Rosemary Callingham, Judith Falle and Garry Clark

Perception of Mental Computation Practice: Reports From Middle School Teachers and Students – Annaliese Caney

Tools for Transnumeration: Early Stages in the Art of Data Representation – Helen Chick

Numeracy Enacted: Preschool Families Conceptions of Their Children’s Engagements with Numeracy – Barbara Clarke and Jill Robbins

Algebraic Thinking in Geometry at High School Level: Students’ Use of Variables and Unknowns – Jaguthsing Dindyal

Teachers’ Characteristics: One Lesson ─ Two Learning Environments – Carmel Diezmann

Two Pathways to Multiplicative Thinking – Fiona Ell, Kay Irwin and Stuart McNaughton

Mathematical Modelling in the Primary School – Lyn D. English

Learning Through Interacting with Students’ Ways of Thinking – Lyn D. English and Helen M. Doerr

Supporting Reflection as Pre-Service Primary Teachers Develop a Mathematics Teaching Portfolio – Sandra Frid and Len Sparrow

The Challenge of Meeting the Instructional Needs of Grade 1 and Grade 2 Children Who Are at Risk in Mathematics – Ann Gervasoni

Numeracy for Nurses: The Case for Traditional Versus Non-traditional Methods for Teaching Drug Calculation – Roslyn Gillies

What Do They See When They Look? Student Perspectives on Equations – David Godfrey and Michael O. J. Thomas

Emergence of a Pre-Service Community of Practice – Merrilyn Goos and Anne Bennison

Building Partnerships with Families and Communities to Support Children’s Numeracy Learning – Merrilyn Goos and Lesley Jolly

Addressing the Needs of Mathematically Anxious Preservice Primary Teachers – Ngarewa Hawera

An Investigation into the Modelling of Word Problems – Ruth Hubbard

Operating with Decimal Fractions as a Part-Whole Concept – Kathryn C Irwin and Murray S. Britt

Professional Development of Mathematics Teachers in Low Socio-Economic Secondary Schools in New Zealand – Barbara Kensington-Miller

Preservice Teacher Education in Mathematics: Thinking Innovatively About Innovation – Mary Klein

How Binary Thinking in School Mathematics Masks and Maintains its Coercive and Conservative Effects: A Poststructuralist Analysis – Mary Klein and Linda Saunders

There is More to Learning Mathematics than Mathematics: Attributional Beliefs and Motivation of Maori and Pacific Island Students – Viliami Finau Latu

Authentic Artefacts: Influencing Practice and Supporting Problem Solving in the Mathematics Classroom – Tom Lowrie

When is Three Quarters not Three Quarters? Listening for Conceptual Understanding in Children’s Explanations in a Fraction Interview – Annie Mitchell and Doug Clarke

Alternative Learning Trajectories – Judith Mousley, Peter Sullivan and Robyn Zevenbergen

The Numeracy Research in NSW Primary Schools Project 2001-2003 – Joanne Mulligan and Susan Busatto

Effortless Mastery and the Jazz Metaphor – Jim Neyland

Social Justice and the Jazz Metaphor – Jim Neyland

Primary Teachers’ Beliefs and Practices with Respect to Compulsory Numeracy Testing – Steven Nisbet and Peter Grimbeek

Using Lego Construction to Develop Ratio Understanding – Stephen Norton

School Mathematical Achievement as a Predictor of Success in a First Year University Mathematics Foundations Unit – Robert Peard

Why You Have to Probe to Discover What Year 8 Students Really Think About Fractions – Catherine Pearn and Max Stephens

Addressing Changing Assessment Agendas: Experiences of Secondary Mathematics Teachers in Rural NSW – John Pegg and Debra Panizzon

Learning Approaches in University Calculus: The Effects of an Innovative Assessment Program – Marina Penglase

Fermi Problems in Primary Mathematics Classrooms: Pupils’ Interactive Modelling Processes – Andrea Peter-Koop

CAS: Student Engagement Requires Unambiguous Advantages – Robyn Pierce, Sandra Herbert and Jason Giri

Numbers and Maps: The Dynamic Interaction of Internal Meanings and External Resources in Use – Dave Pratt and Amanda Simpson

Investigating Parental Attitudes and Beliefs in Mathematics Education – Ruth Pritchard

When Does Successful Comparison of Decimals Reflect Conceptual Understanding? – Anne Roche and Doug Clarke

Structured Peer Interactions to Enhance Learning in Mathematics – Kathryn Rowe and Brenda Bicknell

Shifting the Lens of Inquiry into the Socialisation of Mathematics Teachers: Nature of Value Differences – Wee Tiong Seah

Classics Counts Over Calculus: A Case Study – Fiona Shannon

Learning in a Community of Inquirers: Developing an Inquiry Stance – Tracey J. Smith

MERJ: Reviewing the Reviews – Beth Southwell

A Longitudinal Study of Students’ Understanding of Decimal Notation: An Overview and Refined Results – Vicki Steinle and Kaye Stacey

The ‘Mathematically Able Child’ in Primary Mathematics Education: A Discursive Approach – Fiona Walls

Becoming Knowledgeable in Practice: The Constitution of Secondary Teaching Identity – Margaret Walshaw

Mathematical Patterning in Early Childhood Settings – Jillian Waters

A Two-Year Study of Students’ Appreciation of Variation in the Chance and Data Curriculum – Jane M. Watson and Ben A. Kelly

Beliefs about Chance in the Middle Years: Longitudinal Change – Jane M. Watson, Annaliese Caney and Ben A. Kelly

Background Knowledge and Connectedness: The Case of Mathematics – Paul White and Michael Mitchelmore

Explaining Thai and Japanese Student Errors in Solving Equation Problems: The Role of the Textbook – Duangmanee Ya-amphan and Alan Bishop

Numeracy Practices in Contemporary Work: Changing Approaches – Robyn Zevenbergen and Kelly Zevenbergen

SHORT COMMUNICATIONS

Expansion of Binomials and Factorisation of Quadratic Expressions: Exploring a Vedic Method – Mala Saraswathy Nataraj and Michael O. J. Thomas

Integration or Incorporation? An Examination of the Use of Technology in Tertiary Mathematics Courses – Greg Oates

Monitoring Early Mathematical Development in Transition from Pre-school to Formal Schooling: An Intervention Study – Marina Papic

Practicum and Affective Development in Mathematics – Peter Grootenboer

Student’s Willingness to Attend to Mathematics: A Year 9 Mathematics Classroom Case Study – Barbara Tadich

Teaching and Learning Mathematics: Have We Lost the Spirit? – Beth Southwell

ROUND TABLES

Analysing Students’ Thinking: Strategies Employed In Early Equation Solving – George Toth and Loretta Weedon

Numeracy Intervention in Junior Secondary Mathematics – Colleen Vale