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Part Ⅰ Innovation of Mathematics Learning and Teaching3

1．New Direction in Assessment:Challenges for Students and Teachers&by Gilah C.Leder,Australia3

2．Ways for New Models in Mathematics Education:Effects of Metacognition Training and Cooperative Learning on Math-ernatical Communication&by Bracha Kramarski and Zemira Mevarech,Israel15

3．The Relationship between Student Engagement and Learning Outcome in Mathematics Classroom:An Investigation in Shang-hai&by Qi-Ping Kong,Ngai-Ying Wong and Chi-Chung Lam.China27

4．On the Concept of School Geometry&by Igor Sharygin,Russia43

5．A Model for Statistical Education&by Lionel Pereira-Mendoza,Singapore53

6．A Study on Misconceptions in Probability&by Jun Li,China61

7．Mathematics Learning in the Context of Chinese Local Culture—A Case Study in Constructivist Perspective&by Binyan Xu,China71

Part Ⅱ Mathematics Education and Local Culture85

8．The"Mathematics and Culture"Project&by Michele Emmer,Italy85

9．Curriculum Requirements for Math Teachers in Argentina&by Néstor E Aguilera,Argentina105

10．Myths in the Math Education in the USA&by Tingxiu Wang,USA117

11．Mathematics Education in Malaysia:Where Are We Heading?&by Fatimah Saleh and Chap Sam Lim,Malaysia129

12．Culture of Mathematics Learning in Malaysia:Two Case Studies&by Chap Sam Lim,Fatimah Saleh and Sok Khim Tan,Malay-sia139

13．The Reform of Mathematics Curriculum during Compulsory Ed-ucation in China&by Jianpan Wang,China159

14．Does Practice Make Perfect?&by Shiqi Li,China175

15．Mathematics Education in Tibet:Past,Current and Future&by Da Luosang Langjie,China185

16．Mathematical Thinking at Tibet University:A Comparative Study of Han and Tibetan Students&by Weihua Jiang,China195

Part Ⅲ Mathematics Education and Technology209

17．The Integration of Computer Technologies in Secondary Math-ematics Education&by Michèle Artigue France209

18．More Efficient Teaching and Learning of Mathematics:ProblemSolving and Technology&by Ivan Cnop and Francine Grandsard,Belgium223

19．Algorithms—Fundamental for Mathematics and Mathematics Education:A German Perspective on Algorithms and Computer Based Technology in Mathematics Education&by Jochen Ziegenbalg,Germany235

20．Encouraging Higher Level Mathematical Learning Using Com-puter Aided Assessment&by Christopher J.Sangwin,United Kimdoms255

Part Ⅳ International Comparative Studies on Mathematics Education269

21．Mathematical Tasks Can Indicate Differences in Teaching and Learning:Selected Cases from the International PISA-2000 Data&by Michael Neubrand,Germany269

22．The Orientation and Methodology of the International Compar-ative Studies on Mathematics Education&by Yuxin Zheng,China283

Part Ⅴ Mathematics Education and Teacher Education295

23．A Practice-based Theory of Mathematical Knowledge for Teach-ing:The Case of Mathematical Reasoning&by Hyman Bass and Deborah Loewenberg Ball,USA295

24．The Mathematical Education of School Teachers:A Baker's Dozen of Fertile Problems&by Bernard R.Hodgson,Canada315

25．The(Re-)unification of Mathematic(s)&by Andreas M.Hinz,Germany343

26．Teaching Mathematics to Non-Math Students&by Elena Prestini,Italy359

27．"Doing Mathematics":A Crucial Step in Mathematical Teacher's Training&by Simonetta Di Sieno,Italy365

28．Mathematics Education and In/Pre-service Teacher Training&by Shigeru Takeuchi,Japan377

29．On the Octagons:An Approach from Elementary Geometry to Functional Analysis via Linear Algebra&by Ji Gao,USA385

30．The Power of Concepts in Mathematics&by Jingxin Wang,China397