Abstracts of The First Sourcebook on Asian Research in Mathematics Education. China, Korea, Singapore, Japan, Malaysia and India

270 Pages·2012·28.094 MB·English

by  Bharath Sriraman

Abstracts of The First
Sourcebook on Asian Research
in Mathematics Education:
China, Korea, Singapore, Japan,
Malaysia, and India
Special Supplement to the
International Sourcebooks in Mathematics and Science Education
Series Editor:
Bharath Sriraman, The University of Montana
International Sourcebooks
in Mathematics and Science Education
Bharath Sriraman, Series Editor
The First Sourcebook on Nordic Research in Mathematics Education: Norway,
Sweden, Iceland, Denmark, and Contributions From Finland (2010)
edited by Bharath Sriraman, Christer Bergsten, Simon Goodchild,
Gudbjorg Palsdottir, Bettina Dahl Søndergaard, and Lenni Haapasalo
The First Sourcebook on Asian Research in Mathematics Education:
China, Korea, Singapore, Japan, Malaysia, and India (2012)
Edited by Bharath Sriraman, Jinfa Cai, Kyeong-Hwa Lee, Fan Lianghuo,
Yoshinori Shimizu, Lim Chap Sam, and K. Subramaniam
The First Sourcebook on Mediterranean and South Central Asian Research in
Mathematics and Science Education: Cyprus, Israel, Turkey, Greece, Iran,
Pakistan, and Central Asia (in development 2012)
edited by Bharath Sriraman, Constantinos Christou, Roza Leikin, Ahmet
Arikan, Constantinos Tzakanis, and Anjum Halai
Abstracts of The First
Sourcebook on Asian Research
in Mathematics Education:
China, Korea, Singapore, Japan,
Malaysia, and India
Edited by
Bharath Sriraman
The University of Montana
Jinfa Cai
University of Delaware
Kyeong-Hwa Lee
Seoul National University
Fan Lianghuo
University of Southampton
Yoshinori Shimizu
University of Tsukuba
Lim Chap Sam
Universiti Sains Malaysia
K. Subramaniam
Tata Institute of Fundamental Research, India
Information Age Publishing, Inc.
Charlotte, North Carolina (cid:129) www.infoagepub.com
ISBNS:
Paperback: 978-1-61735-825-8
Hardcover: 978-1-61735-826-5
eBook: 978-1-61735-827-2
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Printed in the United States of America
Advisory Board
Ahmet Arikan, Gazi University, Turkey
Marcelo Borba, São Paulo State University, Brazil
Jinfa Cai, University of Delaware
Lim Chapsam, Universiti Sains, Malaysia
Lyn English, Queensland University of Technology, Australia
Viktor Freiman, University of Moncton, Canada
Simon Goodchild, University of Agder, Norway
Gudbjorg Palsdottir, University of Iceland
Guenter Toerner, University of Duisburg-Essen Germany
Doru Stefanescu, University of Bucharest, Romania
K. Subramaniam, Tata Institute of Fundamental Research, Mumbai, India

CONTENTS
CHINA
PART I: CULTURE, TRADITION, AND HISTORY
1. “Zhi Yì Xíng Nán (Knowing Is Easy and Doing Is Difficult)”
or Vice Versa?: A Chinese Mathematician’s Observation
on History and Pedagogy of Mathematics Activities
Man-Keung Siu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2. The Study on Application of Mathematics History
in Mathematics Education in China
Zezhong Yang and Jian Wang . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
3. Cultural Roots, Traditions, and Characteristics
of Contemporary Mathematics Education in China
Xuhui Li, Dianzhou Zhang and Shiqi Li . . . . . . . . . . . . . . . . . . . . . . . . 9
PART II: ASSESSMENT AND EVALUATION
4. Factors Affecting Mathematical Literacy Performance
of 15-Year-Old Students in Macao: The PISA Perspective
Kwok-Cheung Cheung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
5. Has Curriculum Reform Made A Difference
in the Classroom?: An Evaluation of the New Mathematics
Curriculum in Mainland China
Yujing Ni, Qiong Li, Jinfa Cai, and Kit-Tai Hau . . . . . . . . . . . . . . . . . 15
vii
viii CONTENTS
6. Effect of Parental Involvement and Investment
on Mathematics Learning: What Hong Kong Learned
From PISA
Esther Sui Chu Ho . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
PART III: CURRICULUM
7. Early Algebra in Chinese Elementary Mathematics
Textbooks: The Case of Inverse Operations
Meixia Ding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
8. The Development of Chinese Mathematics Textbooks
for Primary and Secondary Schools Since
the Twentieth Century
Shi-hu Lv, Ting Chen, Aihui Peng, and Shangzhi Wang . . . . . . . . . . . 23
9. Mathematics Curriculum and Teaching Materials
in China from 1950–2000
Jianyue Zhang, Wei Sun, and Arthur B. Powell . . . . . . . . . . . . . . . . . . 25
10. Chinese Mathematics Curriculum Reform
in the Twenty-first Century: 2000-2010
Jian Liu, Lidong Wang, Ye Sun, and Yiming Cao . . . . . . . . . . . . . . . . 27
11. Basic Education Mathematics Curriculum Reform
in the Greater Chinese Region:
Trends and Lessons Learned
Chi-Chung Lam, Ngai-Ying Wong, Rui Ding,
Siu Pang Titus Li, and Yun-Peng Ma . . . . . . . . . . . . . . . . . . . . . . . . . 29
12. Characterizing Chinese Mathematics Curriculum:
A Cross-National Comparative Perspective
Larry E. Suter and Jinfa Cai . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
PART IV: MATHEMATICAL COGNITION
13. Promoting Young Children’s Development of Logical-
Math Thinking Through Addition, Subtraction,
Multiplication, and Division in Operational Math
Zi-Juan Cheng . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
14. Development of Mathematical Cognition
in Preschool Children
Qingfen Hu and Jing Zhang . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
15. Chinese Children’s Understanding of Fraction Concepts
Ziqiang Xin and Chunhui Liu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
Contents ix
16. Teaching and Learning of Number Sense in Taiwan
Der-Ching Yang . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
17. Contemporary Chinese Investigations of Cognitive Aspects
of Mathematics Learning
Ping Yu, Wenhua Yu, and Yingfang Fu . . . . . . . . . . . . . . . . . . . . . . . 43
18. Chinese Mathematical Processing and Mathematical Brain
Xinlin Zhou, Wei Wei, Chuansheng Chen, and Qi Dong . . . . . . . . . . . . 45
PART V: TEACHING AND TEACHER EDUCATION
19. Comparing Teachers’ Knowledge on Multidigit Division
Between the United States and China
Shuhua An and Song A. An . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
20. Problem Solving in Chinese Mathematics Education:
Research and Practice
Jinfa Cai, Bikai Nie, and Lijun Ye . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
21. Developing a Coding System for Video Analysis
of Classroom Interaction
Yiming Cao, Chen He, and Liping Ding . . . . . . . . . . . . . . . . . . . . . . . 53
22. Mathematical Discourse in Chinese Classrooms:
An Insider’s Perspective
Ida Ah Chee Mok, Xinrong Yang, and Yan Zhu . . . . . . . . . . . . . . . . . . 55
23. Reviving Teacher Learning: Chinese Mathematics
Teacher Professional Development in the Context
of Educational Reform
Lynn W. Paine, Yanping Fang, and Heng Jiang . . . . . . . . . . . . . . . . . 57
24. The Status Quo and Prospect of Research
on Mathematics Education for Ethnic Minorities in China
Hengjun Tang, Aihui Peng, Bifen Chen, Yu Bo,
Yanping Huang, and Naiqing Song . . . . . . . . . . . . . . . . . . . . . . . . . . 59
25. Chinese Elementary Teachers’ Mathematics Knowledge
for Teaching: Role of Subject Related Training,
Mathematic Teaching Experience, and Current
Curriculum Study in Shaping Its Quality
Jian Wang . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
26. Why Always Greener on the Other Side?: The Complexity
of Chinese and U.S. Mathematics Education
Thomas E. Ricks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63