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ED499419.Pdf Proceedings of the 31 st Conference of the International Group for the Psychology of Mathematics Education Volume 1 Editors Jeong-Ho Woo, Hee-Chan Lew Kyo-Sik Park, Dong-Yeop Seo The Korea Society of Educational Studies in Mathematics The Republic of Korea The Proceedings are also available on CD-ROM Copyright © 2007 left to the authors All rights reserved ISSN 0771-100X Cover Design: Hyun-Young Kang 1-ii PME31―2007 TABLE OF CONTENTS VOLUME 1 Table ofContents 1iii Introduction 1xxxi Preface m 1-xxxiii Welcome ofChris Breen, PME President 1xxxv International Group forthe Psychology ofMathematics 1xxxvii Education (PME) PME Proceedings ofPrevious Conferences 1xl The Review Process ofPME31 1xliii List ofPME31 Reviewers 1xliv Index ofResearch Reports by Research Domains 1xlvii Index ofPresenting Authors 1li Plenary Lectures Breen, Chris 13 On Humanistic Mathematics Education:A Personal Coming of Age? Otte, Michael 117 Certainty, Explanation and Creativity in Mathematics Sierpinska, Anna 145 I Need the Teacher to Tell Me If I Am Right or Wrong Woo, JeongHo 165 School Mathematics and Cultivation of Mind Plenary Panel Gravemeijer, Koeno 197 Introduction to the PME Plenary Panel, ‘School Mathematics for Humanity Education’ PME31―2007 1iii Frade, Cristina 1-99 Humanizing the Theoretical and the Practical for Mathematics Education Dörfler, Willibald 1-105 Making Mathematics More Mundane - A Semiotic Approach Simon, Martin A. 1-109 Mathematics: A Human Potential Koyama, Masataka 1-115 Need for Humanising Mathematics Education Reseach Forums Rf01 Learning Through Teaching: Development of Teachers’ Knowledge In Practice 1-121 Coordinators: Leikin, Roza & Zazkis, Rina Leikin, Roza & Zazkis, Rina 1-122 A View on the teachers’ Opportunities to Learn Mathematics through Teaching Borba, Marcelo C. 1-128 Integrating Virtual and Face-to-Face Practice: A Model for Continuing Teacher Education Liljedahl, Peter 1-132 Teachers’ Learning Reified: The Professional Growth of Inservice Teachers through Numeracy Task Design Simon, Martin A. 1-137 Constraints on What Teachers Can Learn From Their Practice: Teachers’ Assimilatory Schemes Tzur, Ron 1-142 What and How Might Teachers Learn via Teaching: Contributions to Closing an Unspoken Gap 1-iv PME31―2007 Rf02 Researching Change in Early Career Teachers 1-151 Coordinators: Hannula, Markku S. & Sullivan, Peter Sullivan, Peter 1-151 Introduction Hannula, Markku S. & Liljedahl, Peter & Kaasila, Raimo & Rösken, Bettina 1-153 Researching Relief of Mathematics Anxiety among Pre-service Elementary School Teachers Ling, Lo Mun & Runesson, Ulla 1-157 Teachers’ Learning from Learning Studies: An Example of Teaching and Learning Fractions in Primary Four Goldsmith, Lynn T. & Seago, Nanette 1-162 Tracking Teachers’ Learning in Professional Development Centered on Classroom Artifacts Zaslavsky, Orit & Linchevski, Liora 1-166 Teacher Change in the Context of Addressing Students’ Special Needs in Mathematics Brown, Laurinda & Coles, Alf 1-170 Researching Change in Prospective and Beginning Teachers Hannula, Markku S. 1-174 Summary and Conclusions Discussion Groups DG01 Indigenous Communities and Mathematics Education: Research Issues and Findings 1-183 Coordinators: Baturo, Annette & Lee, Hsiu-Fei DG02 Master Teachers in Different System Contexts 1-184 Coordinators: Li, Yeping & Pang, JeongSuk & Huang, Rongjin Working Sessions WS01 Mathematics and Gender: Discovering New Voices in PME 1-187 Coordinators: Rossi Becker, Joanne & Forgasz, Helen & Lee, KyungHwa & Steinthorsdottir, Olof Bjorg PME31―2007 1-v WS02 Teachers Researching with University Academics 1-188 Coordinators: Novotná, Jarmila & Goos, Merrilyn WS03 Gesture, Multimodality, and Embodiment in Mathematics 1-189 Coordinator: Arzarello, Ferdinando & Hannula, Markku S. WS04 Teaching and Learning Mathematics in Multilingual Classrooms 1-190 Coordinator: Barwell, Richard & Setati, Mamokgethi & Staats, Susan Short Oral Communications Abramovich, Sergei & Cho, Eun Kyeong 1-193 On the Notion of Coherence in Technology-Enabled Problem Posing Arayathamsophon, Rung-Napa & Kongtaln, Pasaad 1-194 The Connection within Mathematical Sequences Performed by Eleventh Grade Students through the Story and Diagram Method Bae, Jong Soo & Park, Do-Yong & Park, Mangoo 1-195 The Retention of Mathematical Concepts in Multiplication in the Inquiry-Based Pantomime Instructions Baek, Jae Meen 1-196 Children’s Justification of Multiplicative Commutativity in Asymmetric Contexts Banerjee, Rakhi & Subramaniam, K. 1-197 Exploring Students’ Reasoning with Algebraic Expressions Barbosa, Jonei Cerqueira 1-198 Mathematical Modelling and Reflexive Discussions Benz, Christiane 1-199 Addition and Subtraction of Numbers up to 100 Borba, Marcelo C. & Malheiros, Ana Paula S. & Santos, Silvana C. 1-200 Virtual Center for Modeling: A Place for Exchange among Researchers and Teachers Burgoyne, Nicky 1-201 An Enactive Inquiry into Mathematics Education: A Case Study of Nine Preservice Primary School Teachers 1-vi PME31―2007 Chang, Hye Won 1-202 Diversity of Problem Solving Methods by High Achieving Elementary Students Cheeseman, Linda 1-203 Does Student Success Motivate Teachers to Sustain Reform-Oriented Pedagogy? Chen, Chuang-Yih & Lin, Boga & Lin, Fou-Lai & Chang, Yu-Ping 1-204 Mathematical Classification Learning Activities for Shapes Recognition - Triangles as an Example Chen, Ing-Er & Lin, Fou-Lai 1-205 Using False Statement as a Starting Point to Foster Conjecturing Cheng, Lu Pien 1-206 A School-Based Professional Development Program for Mathematics Teachers Chernoff, Egan J. 1-207 Probing Representativeness: Switches and Runs Chin, Erh-Tsung & Liu, Chih-Yen & Lai, Pei-Ling 1-208 Promoting Ninth Graders’ Abilities of Intuitive and Associative Thinking in the Problem-Solving Process toward Mathematics Learning Cho, Han Hyuk & Kim, Min Jung & Park, Hyo Chung 1-209 Designing Trace Commands to Connect Euclidean and Analytic Geometry Chung, Jing & Wang, Chun-Kuei 1-210 An Investigation on the Time Misconception of School Children Cranfield, Corvell & Kiewietz, Owen & Eyssen, Hayley 1-211 Mind the Gap: A Case for Increasing Arithmetical Competence in South African Primary Schools Daniels, Karen 1-212 Home School Mathematics Delikanlis, Panagiotis 1-213 Geometry in Meno by Plato: A Contribution for Humanity Education through Problem Solving PME31―2007 1-vii Dindyal, Jaguthsing 1-214 Teaching High School Geometry: Perspectives from Two Teachers Erdogan, Abdulkadir 1-215 A Didactical Analysis to Reconsider the Curriculum and the Situations of Study Frade, Cristina & Tatsis, Konstantinos 1-216 Learning as Changing Participation in Collective Mathematical Discussions Frankcom, Gillian 1-217 Maths Anxiety in Pre-service Primary Student Teachers Fujita, Taro & Yamamoto, Shinya & Miyawaki, Shinichi 1-218 Children’s Activities with Mathematical Substantial Learning Environments Fung, Agnes Tak-Fong & Fung, Chi-Yeung 1-219 Strategies in Learning , Teaching and Assessment in the Domain of “Measures” Gallardo, Aurora & Hernández, Abraham 1-220 Zero and Negativity on the Number Line Gooya, Zahra & Sereshti, Hamideh 1-221 How Could “CAS” Improve Students’ Understanding of Calculus? Haja, Shajahan Begum 1-222 A Study on Decimal Comparison with Two-Tier Testing Han, Seho & Chang, Kyung-Yoon 1-223 Problem Solving with a Computer Algebra System and the Pedagogical Usage of Its Obstacles Hansson, Örjan 1-224 The Significance of Facilitating Feedback of Evoked Concept Images to the Concept Definition: A Case Study Regarding the Concept of Function Hsu, Wei-Min & Chang, Alex 1-225 The Development of Mathematics Teaching Images for Experienced Teachers: An Action Research 1-viii PME31―2007 Hu, Cheng-Te & Tso, Tai-Yih 1-226 Pre-service Teachers Developing Local Conceptual Model from Complex Situations Hung, Pi-Hsia & Chen, Yuan & Lin, Su-Wei & Tseng, Chien-Hsun 1-227 The Elementary School Gifted Students with GSP: Creative Geometry Problem Solving and Knowledge Transferring Process Hunter, Jodie 1-228 What Do Primary School Students Think the Equal Sign Means? Ingelmann, Maria & Bruder, Regina 1-229 Appropriate CAS-Use in Class 7 and 8 Itoh, Shinya 1-230 Reconsidering the Concept of “Mathematisation” in the OECD/PISA Mathematics Framework Jarquín, Iliana López & Móchon, Simón 1-231 Students’ Understanding and Teacher’s Style Ji, EunJeung 1-232 Students’ Attention to Variation in Comparing Graph Jung, Bo Na 1-233 Action Research on Geometry Teaching and Learning by Linking Intuitive Geometry to Formal Geometry in Dynamic Geometry Environment Kaldrimidou, M. & Tzekaki, M. 1-234 Reforming Educational Programs for Future Kindergarten Teachers: Some Considerations Kang, MoonBong & Lee, HwaYoung 1-235 Anaysis on the Case of Utilizing MIC in Korea Kang, Ok-Ki & Noh, Jihwa 1-236 Graduate Students’ Conceptual and Procedural Understanding of Derivative in Korea and the United States Katsap, Ada 1-237 Developing Ethnomathematical Problem Posing Skilfulness in Mathematics Future Teachers PME31―2007 1-ix Kent, Phillip 1-238 Developing Mathematical Learning in the Technology-Enhanced Boundary Crossing of Mathematics and Art KILIÇ, Çiğdem & ÖZDAŞ, Aynur 1-239 Turkish Pre-service Elementary School Teachers’ Solution Strategies in Proportional Reasoning Problems Kim, Gooyoeon 1-240 Teachers’ Implementation of Standards-Based Mathematics Curriculum Kim, NamGyun 1-241 An Analysis of Teachers-Students Interactions of Math Classrooms Using Paper and E-Textbooks Kim, Nam Hee 1-242 The Effects of Mathematics Education Using Technology in Pre-service
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