Progress report of the APEC project:

"Collaborative Studies on Innovations for Teaching and Learning Mathematics in Different Cultures (II)
- Lesson Study focusing on Mathematical Thinking -"

Center for Research on International Cooperation in Educational Development (CRICED)
University of Tsukuba

PREFACE	1
INTRODUCTION	5
CONCLUSION	15
APEC SYMPOSIUM: 3-4 DECEMBER 2006	27
GREETING ADDRESS Yutaka Tsujinaka (Vice president of the University of Tsukuba) Yukitsugu Ono (Deputy Director for International Affairs Division, Minister's Secretariat, of the Ministry of Education, Culture, Sports, Science and Technology) Shinichi Ishihara (Team Director, Basic Education Team II, Group I (Basic Education), Human Development Department, the Japan International Cooperation Agency) Shizumi Shimizu (Vice President of the Japan Society of Mathematics Education)	31
Program	37
What is mathematical thinking and why is it important? Kaye Stacey (Australia)	39
Encouraging mathematical thinking that has both power and simplicity David Tall (UK)	49
Designing mathematics conjecturing activities to foster thinking and constructing actively Fou Lai Lin (Chinese Taipei)	65
Developing mathematical thinking in Singapore elementary schools Yeap Ban Har (Singapore)	75
Promoting mathematical thinking in the Malaysian classroom: issues and challenges Lim Chap Sam & Hwa Tee Yong (Malaysia)	81
Enhancing elementary school mathematics teachers' mathematical thinking through in-service training Soledad A. Ulep (Philippines)	91
Mathematical thinking and how to teach it Shigeo Katagiri (Japan)	105
APEC CONFERENCE: SPECIALIST SESSION, 5-7 DECEMBER 2006	159
Program	161
Developing mathematical reasoning through argumentation Peter Gould (Australia)	163
Mathematical Thinking in Brunei curriculum: implementation issues and challenges Madihah Khalid (Brunei Darussalam)	169
Lesson study: promoting student thinking on the concept of least common multiple (LCM) through realistic approach in the 4th grade of primary mathematics teaching Marsigit, Atmini Dhoruri, Sugiman and Ali Mahmudi (Indonesia)	179
Developing mathematical thinking in classroom Masami Isoda (Japan)	193
Mathematical thinking from the perspectives of problem solving and area of learning contents Kazuyoshi Okubo (Japan)	237
Perspectives on mathematical thinking in Korea Inchul Jung (Korea)	245
Developing student's mathematical thinking through lesson study in Thailand Maitree Inprasitha and Suladda Loipha (Thailand)	255
Developing mathematical thinking through problem-based lessons Soledad A. Ulep (Philippines)	265
Developing mathematical thinking through lesson study: overcoming barriers to effective implementation Patsy Wang-Iverson (USA)	275
Mathematical thinking in primary school and junior high school Shangzhi Wang, Dan Zhang and Siming Zhang (China)	291
Some remarks on mathematical thinking in education Chang-Shou Lin and Su-Chun Lin (Chinese Taipei)	297
Development of mathematical thinking in Hong Kong schools Cheng Chun Chor Litwin (Hong Kong)	301
Mexican perspective on mathematical thinking Tenoch Cedillo and Marcela Santillan (Mexico)	311
Mathematical thinking like angular stone in the understanding of real world phenomena Mag. Francisco Cerda Bonomo (Chile)	317
Developing mathematical reasoning through argumentation Tran Vui (Vietnam)	163
Study lessons in Attached Elementary School of the University of Tsukuba, Hokuto Elementary School, and Maruyama Elementary School	339
APPENDIX: RELATED DOCUMENTS	361

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Progress report of the APEC project:

"Collaborative Studies on Innovations for Teaching and Learning Mathematics in Different Cultures (II) - Lesson Study focusing on Mathematical Thinking -"

Center for Research on International Cooperation in Educational Development (CRICED) University of Tsukuba

CONTENTS

"Collaborative Studies on Innovations for Teaching and Learning Mathematics in Different Cultures (II)
- Lesson Study focusing on Mathematical Thinking -"

Center for Research on International Cooperation in Educational Development (CRICED)
University of Tsukuba