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PME) (24Th, Hiroshima, Japan, July 23-27, 2000), Volume 1 DOCUMENT RESUME ED 452 031 SE 064 493 AUTHOR Nakahara, Tadao, Ed.; Koyama, Masataka, Ed. TITLE Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (PME) (24th, Hiroshima, Japan, July 23-27, 2000), Volume 1. INSTITUTION International Group for the Psychology of Mathematics Education. ISSN ISSN-0771-100X PUB DATE 2000-00-00 NOTE 298p.; For volumes 2-4, see SE 064 994-996. PUB TYPE Collected Works Proceedings (021) EDRS PRICE MF01/PC12 Plus Postage. DESCRIPTORS Algebra; Cultural Influences; *Educational Assessment; Elementary Secondary Education; Functions (Mathematics); Geometric Concepts; Geometry; Graphs; *Mathematics Curriculum; *Mathematics Education; *Problem Solving; *Statistics; Teaching Methods; Thiriking Skills ABSTRACT The first volume of the 24th annual conference of the International Group for the Psychology of Mathematics Education includes plenary addresses, plenary panel discussions, research forum, project groups, discussion groups, short oral communications, and poster presentations.(ASK) Reproductions supplied by EDRS are the best that can be made from the original document. Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education PERMISSION TO REPRODUCE AND DISSEMINATE THIS MATERIAL HAS BEEN GRANTED BY TO THE EDUCATIONAL RESOURCES INFORMATION CENTER (ERIC) 1 PME U.S. DEPARTMENT OF EDUCATION 24 Office of Educational Research and Improvement EDUCATIONAL RESOURCES INFORMATION CENTER (ERIC) Th' document has been reproduced as ceived from the person or organization originating it. Minor changes have been made to improve reproduction quality. Points of view or opinions stated in this document do not necessarily represent July 23-27, 2000 official OERI position or policy. 1 Editors: Tadao Nakahara and Masataka Koyama Hiroshima University Volume 1 Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education July 23-27, 2000 Editors: Tadao Nakahara and Masataka Koyama Hiroshima University Volume 1 3 Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education Volume I Editors: Tadao Nakahara Masataka Koyama Department of Mathematics Education Hiroshima University 1-1-2, Kagamiyama, Higashi-Hiroshima 739-8523 Japan Fax: +81-824-22-7076 E-mail: [email protected] E-mail: [email protected] Copyright © 2000 left to the Authors All rights reserved ISSN 0771-100X Logo: The logo of the PME 24 Conference has been designed by Ayaka Kunikiyo. Printed by the Nishiki Print Co., Ltd. Hiroshima, Japan 4 PREFACE It is an honor and pleasure for us to host the PME24 conference in Hiroshima, in the memorial year of 2000. The theme for the PME24 conference is Major Issues in Mathematics Education for the 21st Century. The theme for the plenary panel is Teaching and Learning in School Mathematics. 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 these significant issues. The papers in the four volumes of the proceedings are grouped according to types of presentations: Plenary Addresses, Plenary Panel, Research Forum, Project Groups, Discussion Groups, Short Oral Communications, Poster Presentations, School Visit, and Research Reports. The plenary addresses and the research forum papers appear according to the order of presentation. The Groups are sequenced according to their numbers. For other types of presentations, within each group, papers are sequenced alphabetically by the name of the first author, with the name(s) of the presenting author(s) underlined. There are two cross-references to help readers identify papers of interest to them: by research domain, according to the first author (p. 1-xxxvi); by author, in the list of authors (p. 1-249). 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 Hideki Iwasaki, Atsumi Ueda, and Takeshi Yamaguchi for their dedication, cooperation and endless amount of work devoted to the preparation of the proceedings. This conference received support from many sources, without which we could not have organized it to meet PME standards. We are grateful to the sponsors, especially to the Commemorative Association for the Japan WorldExposition (1970), the Hiroshima Convention Bureau, and SHARP Corporation for their supports. Last, but not least, many thanks to the members of the Local OrganizingCommittee and many Japanese colleagues for sharing with us so willingly the responsibilites and fortheir personal donations given to the enterprise. Tadao Nakahara Masataka Koyama Hiroshima, July 2000 TABLE OF CONTENTS VOLUME I Preface 1-iii Table of contents 1-v Introduction The International Group for the Psychology of Mathematics Education 1-xxix Proceedings of previous PME conferences 1-xxxi The review process of PME24 1-xxxiii List of PME24 reviewers 1-xxxiv Index of presentations by research domain 1-xxxvi Plenary Addresses Naiiez, Rafael E. 1-3 Mathematical idea analysis: What embodied cognitive science can say about the human nature of mathematics Arzarello, Ferdinando 1-23 Inside and outside: Spaces,times, and language in proof production Nohda, Nobuhiko 1-39 Teaching by open-approach method in Japanese mathematics classroom Duval, Raymond 1-55 Basic issues for research in mathematics education Plenary Panel Theme: Teaching and learning in school mathematics: What has research told us about mathematics teaching and learning? Sullivan, Peter 1-73 Physicians leave education researchers for dead Boero, Paolo 1-76 Can research in mathematics education be useful for the teaching and learning of mathematics in school? And how? 1-v Brown, Margaret 1-80 Does research make a contribution to teaching and learning in school mathematics? Reflections on an article from Diane Ravitch Lin, Fou-Lai 1-84 An approach for developing well-tested, validated research of mathematics learning and teaching Research Forum Theme: Dynamic geometry Coordinator: Laborde, Colette Jahn, Ana Paula 1-91 New tools, new attitudes to knowledge: The case of geometric loci and transformations in Dynamic Geometry Environment Healy, Lulu 1-103 Identifying and explaining geometrical relationship: Interactions with robust and soft Cabri constructions Straesser, Rudolf (reactor) Project Groups PG1:Intuitive rules and mathematics learning and teaching 1-121 Coordinators: Tsamir, Pessia; Lin, Fou-Lai; Tirosh, Dina; De Bock, Dirk & Muller, Regina PG2:Research on mathematics teacher development 1-122 Coordinators: Peter-Koop, Andrea & Santos-Wagner, Vania PG3 : Understanding of multiplicative concepts 1-123 Coordinators: Watanabe, Tad; Pesci, Angela; Brekke, Gard & Reynolds, Anne Discussion Groups DG 1: Classroom research 1-127 Coordinators: Goodchild, Simon & Linden, Nora DG2:Cultural aspects of the teaching and learning of mathematics 1-128 Coordinators: Presmeg, Norma & Zack, Vicki DG3:Encouraging reflective practice 1-129 Coordinators: Cockburn, Anne; Lopez-Real, Francis & Gal, Hagar DG4: Exploring dilemmas of research on the social aspects of 1-130 mathematics education Coordinators: Fernandes, Elsa; Matos, Joao Filipe & Santos, Madalena DG5:Imagery and affect in mathematical learning 1-131 Coordinators: English, Lyn D. & Goldin, Gerald A. DG6:Stochastical thinking, learning and teaching 1-132 Coordinators: Truran, John; Way, Jenny; Nicholson, James & Barra, Mario DG7:The importance of matching research questions and 1-133 methodology to the reality of researcher 's lives Coordinators: Hart, Kath DG8:Theory of embodied mathematics 1-134 Coordinators: Edwards, Laurie D. & Niiez, Rafael E. DG9:Underrepresented countries in PME: The state of mathematics 1-135 education Coordinators: Denys, Bernadette & Valero, Paola Short Oral Communications Amaiwa, Shizuko 1-139 Relationbetweendispositionof taskandstrategyof computational estimation adopted by students 10 to 17 years old Amit, Miriam 1-140 A cross-cultural self-selection process of elementary pre-service teachers 1-vii S Archetti, Adria; Armiento, Susanna; Basile, Eleonora; Cannizzaro, 1-141 Lucilla; Crocini, Paola & Saltarelli, Lucia The influence of the sequence of information in the solution of a word problem Arshaysky, Nina & Goldenberg, E.Paul 1-142 Students' confusion between verbal and visual representations of geometric figures in Dynamic Geometry Environment Barwell, Richard 1-143 Plus, and and add: Addition and English additional language learners of mathematics Blanton, Maria L. & Kaput, James J. 1-144 Characterizing generative and self-sustaining teacher change in a classroom practice that promotes students' algebraic thinking Borba, Rute & Nunes, T. 1-145 Are young children able to represent negative numbers? Cesar, Margarida 1-146 Inclusive school as a reality: The role of peer interactions in maths classes for pupils with educational special needs Chen, Ing-Er & Lin, Fou-Lai 1-147 A thinking model of mathematics conjecturing Cheng, Chun Chor Litwin 1-148 Assessing how childrenlearnhigher order mathematical thinking Cohen, Nitsa 1-149 Misconceptions in 3-D geometry basic concepts Da Costa, Nielce M. Lobo; Healy, Lulu & Magina, Sandra 1-150 Primary teachers interpretations of graphical representations teachers: Differences between static and dynamic data analysis tools Day, Chris
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