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Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (22Nd, Stellenbosch, South Africa, July 12-17, 1998.) Volume 1

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Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (22Nd, Stellenbosch, South Africa, July 12-17, 1998.) Volume 1 DOCUMENT RESUME ED 427 969 SE 062 271 AUTHOR Olivier, Alwyn, Ed.; Newstead, Karen, Ed. TITLE Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (22nd, Stellenbosch, South Africa, July 12-17, 1998.) Volume 1. INSTITUTION International Group for the Psychology of Mathematics Education. ISSN ISSN-0771-100X PUB DATE 1998-00-00 NOTE 328p.; For volumes 2-4, see SE 062 272-274; for the 1998 conference see ED 416 082-085. PUB TYPE Collected Works Proceedings (021) EDRS PRICE MF01/PC14 Plus Postage. DESCRIPTORS Algebra; *Beliefs; Cultural Influences; Data Processing; Educational Change; Educational Research; Educational Technology; Elementary Secondary Education; Foreign Countries; Fractions; Functions (Mathematics); Geometry; Knowledge Base for Teaching; Learning Theories; *Mathematics Education; Number Concepts; *Problem Solving; Proof (Mathematics); *Social Influences; Spatial Ability; Statistics; *Student Attitudes; Teacher Education; Thinking Skills ABSTRACT The first volume of this proceedings contains an introduction and the plenary, research forum, working group, and discussion group papers. Papers include: (1) "Resources as a Verb: Recontextualizing Resources in and for School Mathematics" (Jill Adler); (2) "Markets and Standards: The Politics of Education in a Conservative Age" (Michael Apple); (3) "Analyzing the Mathematical Learning of the Classroom Community: The Case of Statistical Data Analysis" (Paul Cobb); (4) "The Production of Artifacts as Goal for School Mathematics?" (Cyril Julie); (5) "A Moment in the Zoom of a Lens: Towards a Discursive Psychology of Mathematics Teaching and Learning" (Stephen Lerman); (6) "Diversity and Change in Mathematics Teacher Education" (Chris Breen); (7) "Pilot In-Service Mathematics Teacher Project" (Barbara Jaworski); (8) "Talking Math: Proposal for School Change" (Lena Licon Khisty); (9) "The CAPE Project--Constructing Activities for Peer-Education" (Konrad Krainer);(10) "Reflecting on Mathematics Learning In and Out-of-School from a Cultural Psychology Perspective" (Guida de Abreu); (11) "Reflections on Mathematics Learning and Teaching: Implications of Cultural Perspectives" (Philip C. Clarkson); (12)"A Semiotic Analysis of Students' Own Cultural Mathematics" (Norma Presmeg);(13) "Linking Students' Own Cultural Mathematics and Academic Mathematics" (Marta Civil); (14) "Developing Chains of Signifiers: A New Tool for Teachers?" (Kathryn C. Irwin);(15) "Learning through Problem Solving" (Hanlie Murray, Alwyn Olivier, and Piet Human);(16) "Learning through Problem Solving" (Anne Reynolds);(17) "Supporting Students' Construction of Increasingly Sophisticated Ways of Reasoning through Problem Solving" (Koeno Gravemejier, Kay McClain, and Michelle Stephan);(18) "Supporting Students' Reasoning through Problem Solving--Implications for Classroom Practice" (Susie Groves); (19) "Building the Meaning of Statistical Association through Data Analysis Activities" (Carmen Batanero, Juan D. Godino, and Antonio Estepa); (20) "Building the Meaning of Statistical Association through Data Analysis +++++ ED427969 Has Multi-page SFR---Level=1 +++++ Activities" (Michael Glencross);(21) "Graphing as a Computer-Mediated Tool" (Janet Ainley, Elena Nardi, and Dave Pratt);(22) "Symbol-Use, Fusion, and Logical Necessity: On the Significance of Children's Graphing" (Ricardo Nemirovsky);(23) "Advanced Mathematical Thinking" (David Reid); (24) "Algebra: Epistemology, Cognition and New Technologies" (Jean-Philippe Drouhard, Alan Bell, and Sonia Ursini); (25) "Classroom Research" (Donald Cudmore and Lyn English);(26) "Cultural Aspects in the Learning of Mathematics" (Nomma Presmeg, Marta Civil, Judit Moschkovich, and Phil Clarkson);(27) "Geometry" (Maria Alessandra Mariotti and Ana Mesquita); (28) "Research on the Psychology of Mathematics Teacher Development" (Andrea Peter-Koop and Vania Santos-Wagner);(29) "Research in the Social Aspects of Mathematics Education" (Jo Boaler and Paola Valero); (30)"The Teaching and Learning of Stochastics" (John Truran, Kath Truran, and Carmen Batanero); (31) "Understanding of Multiplicative Concepts" (Tom Cooper and Tad Watanabe);(32) "Embodiment, Enactivism and Mathematics Education" (Rafael Nunes, Lawrie Edwards, Joao Filipe Matos, and Stephen Campbell); (33) "Learning and Teaching Number Theory" (Stephen Campbell and Rina Zazkis); (34) "Under-Represented Countries in PME: National Mathematics Education Research Communities and Priorities" (Paola Valero, Bernadette Denys, Renuka Vithal, and Pedro Gomez);(35) "Frameworks for Research on Open-ended Mathematical Tasks" (Peter Sullivan and Shukkan Susan Leung); and (36) "Exploring Different Ways of Working with Videotape in Research and Inservice Work" (Susan Pirie and Chris Breen).(ASK) ************************************************************************ ****** ** Reproductions supplied by EDRS are the best that can be made from the original document. ******************************************************************************** a 0 - e -- . - .. - 'a I e I e I. e e U S DEPARTMENT OF EDUCATION Office of Educational Research and Improvement EDUCATIONAL RESOURCES INFORMATION CENTER (ERIC) This document has been reproduced as "ieceived from the person or organization originating it 0 Minor changes have been made to PERMISSION TO REPRODUCE AND improve reproduction quality DISSEMINATE THIS MATERIAL HAS BEEN GRANTED BY Points of view or opinions stated in this document do not necessarily represent official OERI position or policy .--\VOSn TO THE EDUCATIONAL RESOURCES INFORMATION CENTER (ERIC) 1 s., _.. r 1/4471247 July 1998 k%bosch, SouthA1' 1 - I A - e - - . 5 - Alb - II --III mA BEST COPYAVAILABLE Proceedings of the 22nd Conference of the International Group for the Psychology of Mathematics Education Volume 1 Editors: Alwyn Olivier and Karen Newstead University of Stellenbosch Stellenbosch, South Africa 1998 BEST COPTAVAIIIIALE 3 Proceedings of the 2217d Conference of the International Group for the Psychology of Mathematics Education Volume 1 Published by the Program Committee of the 22nd PME Conference. Stellenbosch, South Africa Editors: Alwyn Olivier and Karen Newstead Faculty of Education The University of Stellenbosch Stellenbosch South Africa 7600 Fax: +27 21 887 2616 E-mail: [email protected] © Copyright 1998 left to the individual authors ISSN 0771-100X Printed by Kwik Kopy Printing Bellville, South Africa PREFACE The theme for the 1998 PME conference is Diversity and Change in Mathematics Education, The Program Committee hopes that the Plenary Addresses and Plenary Panel Discussion, as well as many personal presentations will create an atmosphere of reflection, examination and discussion on this significant issue. The papers in the four volumes of these Proceedings are grouped according to the type of presentation, i.e. Plenary addresses, Plenary Panel Discussion, Research Forum, Working Groups, Discussion Groups, Research Reports, Short Oral Communications and Posters. Within each group, papers are sequenced alphabetically by the name of the first author, with the name(s) of the presenter(s) underlined if not all the authors are presenting. We have included two cross-references to help readers to easily identify papers of interest: by research domain, according to the first author (page xxix of Volume 1) by author in the address list of presenting authors (page 285 of Volume 1). We would like to extend our thanks to the Program Committee and to the reviewers for their respective roles in working with the papers in these Proceedings. We would also like to express our sincere thanks to Kate Bennie for her help in preparing these Proceedings. Alwyn Olivier Karen Newstead Stellenbosch, June 1998 TABLE OF CONTENTS VOLUME 1 Preface 1-iii Table of contents 1-v Introduction The International Group for the Psychology of Mathematics Education 1-xxiii The review process and names of reviewers 1-xxv Proceedings of previous PME conferences 1-xxviii Index of presentations by research domain 1-xxix Plenary Addresses Adler, Jill 1-1 Resources as a verb: Recontextualising resources in and for school mathematics Apple, Michael 1-19 Markets and standards: The politics of education in a conservative age Cobb, Paul 1-33 Analyzing the mathematical learning of the classroom community: The case of statistical data analysis Julie, Cyril 1-49 The production of artefacts as goal for school mathematics? Lerman, Stephen 1-66 A moment in the zoom of a lens: Towards a discursive psychology of mathematics teaching and learning Plenary Panel Discussion Theme: Diversity and change in mathematics teacher education Breen, Chris (Chair) 1-85 Diversity and change in mathematics teacher education Jaworski, Barbara 1-88 Pilot in-service mathematics teacher project Khisty, Lena Licón 1-97 Talking math: Proposal for school change Krainer, Konrad .1-105 The CAPE project - constructing activities for peer-education Research Forum Theme 1: Mathematics iii-and out of school Abreu, Guida de 1-115 Reflecting on mathematics learning in and out-of-schoolrom a cultural psychology perspective Clarkson, Philip C. (Reactor) 1-131 Reflections on mathematics learning and teaching: Implications of cultural perspectives 1 - v Presmeg, Norma 1-136 A semiotic analysis of students' own cultural mathematics Civil, Marta (Reactor) 1-152 Linking students' own cultural mathematics and academic mathematics Irwin, Kathryn C. (Reactor) 1-160 Developing chains of signifiers: A new tool for teachers? Theme 2: Learning through
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