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Mathematics Education in Different Cultural Traditions: A Comparative Study of East Asia and the West - Discussion Document 1 Mathematics Education in East Asia anrd the West: Does Culture Matter? LEUNG KooN SH-ING FREDERICK 21 Section 1: Context of Mathematical Education - Introduction FAN LIANGHUO & WALTHER FISCHER 47 Chapter -1: A Traditional Aspect of Mathematics Education in Japan ICHIEi HIRABAYASHI 51 Shapter 1-2: From Wasan to Yozan KrNJI UENO 65 S,hapter 1-3: Perceptions of Mathematics and Mathematics Education in the Course of History -- A Revieow of Western Perspectives CHRISTIN KEITEL 81 (iCapter 1-4: Historical Topics as Indicators for the Existence of Fundamentals in Educational Mathematics WALTHER L FISCHER 95 ihapter 1-5: From "Eitering the Way" to "Exiting the Way": In Search of a Bridge to Span "Basic SIcils" and "Process Abilities" WONG NGA I-YING II i Chapter 16: Practice Makes Perfect: A Key Belief in China LI S HI 129 Chaoter 1-7: The Origins of Pupils' Awareness of Teachers' Mathe- iaties Pedagogical Values: Confucianism and Buddhism-Driven LEU YUH-CHYN & WIT CHAO-JUING 139 Section 2: Curriculum - Introduction MARGARET WU, PARK KYTJNGMEE & LEUNG KOON SHING FREDERICK 153 Chapter 2-1: Some Comparative Studies between French and Vietnamese Curricula AN F BESSOT & CLAUDE C OMITI 159 Chapter 2-2 An Overview of the Mathematics Curnicula in the West and East MARGARET WU& ZHANGDIANZHOU . 181 Chapter 2-3: Classification and Framing of Mathematical Knowledge in Hong Kong, Mainland China, Singapore, and the United States LI YEPING & MARK B. GINSBURG 195 Chapter 2-4: Comparative Study of Arithmetic Problems in Singaporean and American Mathematics Textbooks YEAP BAN-HAR; BFVERLY J. FERRUCCI& JACK A. CARTER 213 Chapter 2-5 A. Comparative Study of the Mathemnatics TextbooLs of' China, England, Japan, Korea, and the United States PARK KYUNGMEE & LEUNG KOON SHING FREDERICK 227 Chapter 2-6: A Comparison Of Mathematics Performance between East and West: What PISA and TIMSS Can Tell Us MARGA RET WU 239 Chapter i2-7 Case Studies on Mathematics Assessment Practices in Australian and Chinese Primary Schools ZHFAO DA-CHENG; JOANNE MULLIGAN & MICHAEL MIT CHELMORE 261 Chapter 2-8: Philippine Perspective on the ICMI Comparative Study BIENVENIDo F. NEBRES, S J. 277 Section 3: Teaching and Learning -- Introduction COLErTE LABORDE 285 Chapter 3-1: T he TIMSS 1995 and 1999 Video Studies JOHANNA NEUBRAND 291 Chapter 3-2: Proposal for a Framework to Analyse Mathematics Education in Eastern and Western Traditions G ABRIELE KAISER, KEIKO HINO AND CHRISTINE KNIPPING 319 Chapter 3-3: Cultural Diversity and the Learner's Perspective: Attending to Voice and Context DAVID CLARKE, YOSHINORI SHIMIZU, SOLEDAD A. ULEP, FLORENDA L, GALLOS, GODFREY SETHOLE; JILL ADLER & RENUKA VITHAL 353 Chapter 34: Mathematics Education in China: From a Cultural Perspective ZMENG YUXIN 381 Cha pter 3-5: Mathematics Education and Information and Communication Technologies: An Introduction KLAUS-DIETER GRAF 391 Shapter 3-5a: Cultural Awareness Arising from Internet Communication between Japanese and Australian Classrooms MASAMI ISODA; BARRY McCRAE & KAYE STACEY 397 Chapter 3-5b: The International Distance Learning Activities of ILARUL Xli FI 409 Chapter 3-5: Distance Learning between Japanese and German C lassrooms KLi usD. GRAF & SEiJI MORIYA 415 Section 4: alues and Beliefs - Introduction ALAN BISITOP 427 Ch(aptt 4 -i: Co inpa! ing Primary and SccondaCnv Mathematics Teachers' Beiiefs Cabout Mathem atics,\ Mathematics Learnin and Mathematics Teaching in Hong Kong and Australia 3O PF RRY, WONG'NGA -Y IN P &ETF HO WARD 435 Chapter 4-)2: The Impact of CUltural Differences on Middle School Mathematics Teachers' Beliefs in the U.S, and China AN S-H L A, GERALD 'I iT I\ Wt ZHONG 1E, P ¥ & VW NG LJN 449 Chapte; '4- I:S. and Chiinese Teachers' Cultural ViAues of Rcnresentationls in 1Mathelnatls Education CAT Jir)fA 4:5 Chapter 441 A Comparison of Mathematical Values Conveyed in Mat liCnatics Textbooks i1 China and Austrafia CAO ZHONG tlIN, SEA WEE TTONG & ALAN . BISHFOP 483 Chapter 4-5: Values and Classroom Interaction: Students Struggle for Sense Making VA JIABLONKA & CHRI.STINE K'FITF 495 Chapter 4-64 Trip For the Body, .xpedition for the Soul: nii Explorator Survey of Iwo East Asian Teachers of Mathematics in Australia S A _H Wfin Trlo & ALAN j. B1SJ4OP 523' Chaptel 4- : C oncvptuaissing Pedaigogical VOalIues and Idenllities in Seacher Development C IN C-HIEN 537 Section 5: Outlook and Conclusions - Introduction. LEUNG KoON SHING FREDERICK, KLAUS-DIETER GRAF & FRANCIS J. LOPEz-REAL 549 Chapter 5-1: Elements of a Semiotic Analysis of the Secondary Level Classroom in Japan CARL WINSL0W & FHIDEYO EMORI 553 Chapter 5-2: Other Converitions in Mathematics and Mathem'nfatics Education VALERIv ALEKSEEV, BILL BARTON & GELSA KNUIJNIK 567 Chapter 5-3: What Comes After This Col paraiive Study - More Comnpetitios or 'More Collaborations? ALAN J. BISHOP 581