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Navigating Currents and Charting Directions. Proceedings of the Annual Conference of the Mathematics Education Research Group

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Mathematics Education Research Group of Australasia Inc. Volume 1 28 June - 1 July 2008 Brisbane - The University of Queensland, St Lucia Editors: Merrilyn Goos Ray Brown Katie Makar Copyright © 2008 Mathematics Education Reserach Group of Australasia Incorporated Prepared at: Teaching and Educational Development Institute (TEDI), The University of Queensland Published in: Brisbane by the Mathematics Education Research Group of Australasia Editors: Merrilyn Goos, Ray Brown & Katie Makar Navigating Currents and Charting Directions (Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia) Vol. 1: 978-1-920846-16-3 Navigating Currents and Charting Directions (Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia) Vol. 2: 978-1-920846-17-6 Navigating Currents and Charting Directions (Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia) Vol. 1 (CD-ROM): 978-1-920846-18-9 Navigating Currents and Charting Directions (Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia) Vol. 2 (CD-ROM): 978-1-920846-18-3 Copies of these proceedings are for sale and may be ordered (subject to availability) from: MERGA (Inc.) GPO Box 2747 ADELAIDE SA 5001 Australia Phone +61 8 8365 0288 Fax +61 8 8362 9288 Email [email protected] The 31st annual conference of the Mathematics Education Research Group of Australasia was held at The University of Queensland, Brisbane, Qld, Australia 28 June – 1 July 2008 Conference Organisers Convenor: Merrilyn Goos Conference Committee: Merrilyn Goos, Anne Bennison, Ray Brown, Michael Bulmer, Shelley Dole, Jillian Fox, Vince Geiger, Janeen Lamb, Katie Makar, Steve Nisbet, Steve Norton, Steve Thornton, Anne Williams Proceedings Editors: Merrilyn Goos, Ray Brown, Katie Makar Conference Administration: Kylie O’Toole Conference Program: Shelley Dole, Vince Geiger, Steve Nisbet Conference Sponsors The University of Queensland, Teaching and Educational Development Institute ii Please click on content listings below to access research papers. Table of Contents Volume 1 Preface iii Keynote Papers Stars, Compass, and GPS: Navigating Currents and Charting Directions for Mathematics Education Research on Gender Issues 5 Helen Forgasz Praxis and Practice Architectures in Mathematics Education 17 Stephen Kemmis Practical Implications Award Paper Facilitating Communities of Mathematical Inquiry 31 Roberta Hunter Research Papers - Volume 1 Assessing Primary Preservice Teachers’ Mathematical Competence 43 Karoline Afamasaga-Fuata’i, Paul Meyer, Naomi Falo Teachers’ Motivation to Attend Voluntary Professional Development in K-10 Mathematics 51 Judy Anderson Using National Numeracy Testing to Benefit Indigenous Students: Case Studies of Teachers Taking Back Control of Outcomes 59 Annette R Baturo, Tom J Cooper, Matthew T Michaelson, Jessica Stevenson Recollections of Mathematics Education: Approaching Graduation and 5 Years Later 67 Kim Beswick, Shelley Dole Using Paper-Folding in the Primary Years to Promote Student Engagement in Mathematical Learning 77 Kathy Brady The Case of Mathematical Proof in Lower Secondary School: Knowledge and Competencies of Pre-service Teachers 85 Jill Brown, Gloria Stillman, Björn Schwarz, Gabriele Kaiser Employing Mathematical Modelling to Respond to Indigenous Students’ Needs for Contextualised Mathematics Experiences 93 Kelli Brown vii Reconceptualising Agency Through Teachers Talking About a Sociocultural Approach to Teaching Mathematics in the Classroom 101 Raymond Brown, Trevor Redmond Middle School Students’ Interest in Statistical Literacy 109 Colin Carmichael, Ian Hay One Secondary Teacher’s Use of Problem-Solving Teaching Approaches 117 Michael Cavanagh Does Student Success Motivate Teachers to Sustain Reform-Oriented Pedagogy? 125 Linda Cheeseman Year Five Students Solving Mental and Written Problems: What Are They Thinking? 131 Julie Clark Mathematics for Engineering Education: What Students Say 139 Mary Coupland, Anne Gardner, Georgina Carmody Advancing Research Into Affective Factors in Mathematics Learning: Clarifying Key Factors, Terminology and Measurement 147 Patricia C. Cretchley Explorations of Early Childhood – New Entrant Transition in Mathematics 155 Ngaire M Davies, Karen Walker Eliciting Growth in Teachers’ Proportional Reasoning: Measuring the Impact of a Professional Development Program 163 Shelley Dole, Doug Clark, Tony Wright, Geoff Hilton, Anne Roche Links Between Children’s Understanding of Multiplication and Solution Strategies For Division 171 Ann Downton Intervention Instruction in Structuring Numbers 1 to 20: The Case of Nate 179 David Ellemor-Collins, Robert (Bob) Wright Interdisciplinary Problem Solving: A Focus on Engineering Experiences 187 Lyn D. English Addressing Verbal Memory Weaknesses to Assist Students with Mathematical Learning Difficulties 195 Maureen Finnane viii Validation of an Assessment Instrument Developed for Eliciting Student Prior Learning in Graphing and Data Analysis 203 Noleine Fitzallen Using Valsiner 211 Linda Galligan CAS Enabled Devices as Provocative Agents in the Process of Mathematical Modelling 219 Vince Geiger, Rhonda Faragher, Trevor Redmond, Jim Lowe Researcher-Teacher Relationships in Mathematics Education 227 Merrilyn Goos Towards a Sociocultural Framework for Understanding the Work of Mathematics Teacher-Educator-Researchers 235 Merrilyn Goos Identity as a Lens to Understand Learning Mathematics: Developing a Model 243 Peter Grootenboer, Robyn Zevenbergen Capturing Students’ Thinking about Strategies used to Solve Mental Computations by Giving Students Access to a Pedagogical Framework 251 Judy Hartnett A Review of Recent Research in Early Mathematics Learning and Technology 259 Kate Highfield, Kristy Goodwin The Development of Students’ Use of Justification Strategies 265 Jodie Hunter, Glenda Anthony Using Task-Based Interviews to Assess Mathematical Thinking of Primary School Students 273 Chris Hurst Who a Student Sits Near to in Maths: Tension between Social and Mathematical Identities 281 Naomi Ingram Social Constructivism in the Classroom: From A Community of Learners to a Community of Teachers 287 Jane Irvin Primary Teachers’ Beliefs About the Use of Mathematics Textbooks 295 Romina Jamieson-Proctor, Carmen Byrne ix Abstraction in Context, Combining Constructions, Justification and Enlightenment 303 Ivy Kidron, Tommy Dreyfus How Humanism Can Foster Mediocrity in Early Years Mathematics Education: A Poststructuralist Comparison 311 Mary Klein Preservice Teachers and Numeracy Education: Can Poststructuralism Contribute? 317 Mary Klein High Achievers in Mathematics: What Can We Learn From and About Them? 323 Gilah Leder Volume 2 Links to the following research papers are available in Volume 2 pdf on this CD. Research Papers The 2007 Common Technology Free Examination for Victorian Certificate of Education (VCE) Mathematical Methods and Mathematical Methods Computer Algebra System (CAS) 331 David Leigh-Lancaster, Pam Norton, Peter Jones, Magdalena Les, Michael Evans, Margaret Wu Focusing Year 8 Students on Self-Regulating their Learning of Mathematics 337 Andrea McDonough, Peter Sullivan Feedback About Professional Growth for Teachers of Mathematics: A Developmental Perspective 345 Greg McPhan, John Pegg, Stefan Horarik Fraction Number Line Tasks and the Additivity Concept of Length Measurement 353 Annie Mitchell, Marj Horne “Zero is Not a Number”: Teachable Moments and their Role in Effective Teaching of Numeracy 361 Tracey Muir Students’ Attitude Towards Using Materials to Learn Algebra: A Year 7 Case Study 369 Stephen Norton, Will Windsor Teaching Mathematics and Technology through Design Practice 377 Stephen Norton, Tom J Cooper Engaging Mathematics Teachers in Professional Learning by Reflecting on their Pedagogical Practice 385 Richard O’Donovan x Primary Teachers’ Perceptions of Their Knowledge and Understanding of Measurement 391 Michelle O’Keefe, Janette Bobis Use of the Internet for Teacher Professional Development and for Teaching Mathematics: Supports and Inhibitors 399 Sitti Maesuri Patahuddin A Situated Perspective on Learning to Teach Secondary Mathematics 407 Anne Prescott, Michael Cavanagh The Hospital Problem revisited. Tertiary Student’s Perceptions of a Problem Involving the Binomial Distribution 415 Robyn Reaburn The Identification of Partially Correct Constructs 421 Gila Ron, Rina Hershkowitz, Tommy Dreyfus Making Connections: Promoting Connectedness in Early Mathematics Education 429 Abigail Sawyer Engagement versus Deep Mathematical Understanding: An Early Career Teacher’s Use of ICT in a Lesson 437 Anne Scott, Ann Downton, Donna Gronn, Adam Staples Investigating a Phase Approach to Using Technology as a Teaching Tool 445 Penelope Serow The Introduction of Interactive Whiteboard Technology in the Primary Mathematics Classroom: Three Case Studies 453 Penelope Serow, Rosemary Callingham School Readiness: What Do Teachers Expect of Children in Mathematics on School Entry? 461 Brenda Sherley, Megan Clark, Joanna Higgins Gaining Insight into Alice’s Pedagogy with Respect to Five Dimensions of Numeracy 467 Jane Skalicky Modes of Reasoning in Explanations in Year 8 Textbooks 475 Kaye Stacey, Jill Vincent What Does Three-quarters Look Like?Students’ Representations of Three-quarters 483 Vicki Steinle, Beth Price xi Some Key Junctures in Relational Thinking 491 Max Stephens Chinese Young Children’s Strategies on Basic Addition Facts
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