Proceedings of the Ninth International Congress on Mathematical Education

by Fujita, Hiroshi; Hashimoto, Yoshihiko; Hodgson, Bernard R.; Lee, Peng-Yee; Lerman, Stephen

• ISBN13: 9781402080937
• ISBN10: 140208093X
• Format: Hardcover
• Copyright: 2004-08-01
• Publisher: Kluwer Academic Pub

Summary

Mathematics education in contrast has a variable and culturally based character, and this is certainly true of educational organization and practice. Educational research is both an applied social science and a multidisciplinary domain of theoretical scholarship. Among organizations devoted to mathematics education, The International Commission on Mathematical Instruction (ICMI) is distinctive because of its close ties to the mathematics community. The great challenges now facing mathematics education around the world demand a deeper and more sensitive involvement of disciplinary mathematicians than we now have, both in the work of educational improvements and in research on the nature of teaching and learning. This book constitutes the Proceedings of the Ninth International Conference on Mathematical Education (ICME9), which was held in Tokyo/Makuhari Japan, in July and August 2000. ICME9 brought together experts from 70 countries, working to understand the challenges of mathematics education including boundary crossing and collaboration, such as the need to reconcile language, epistemology, norms of evidence and, in general, all of the intellectual and attitudinal challenges that face multidisciplinary research and development. The program for ICME9 reflects a truly international character and includes four distinguished regular lectures, 52 lectures, four national presentations and reports from current ICMI Studies and ICMI Affiliated Study Groups. The goal of the meeting was to offer presentations and learning on various aspects of mathematics educations; its research, experiences, materials, and information with special emphasis on achievements and trends that arose in mathematics education during the period of 1996-2000, and that would make important contributions to mathematics education in the new century.

Table of Contents

Preface	xi
Presidential Address at the Opening Ceremony of ICME	xv
International Round Table: The Role of Mathematics in General Education for the 21st Century	2	(16)
Plenary Lectures	18	(73)
Hiroshi Fujita
Goals of Mathematical Education and Methodology of Applied Mathematics	19	(18)
Mogens Niss
Key Issues and Trends in Research on Mathematical Education	37	(21)
Terezinha Nunes
How Mathematics Teaching Develops Pupils' Reasoning Systems	58	(15)
Erich Ch. Wittman
Developing Mathematics Education in a Systemic Process	73	(18)
Regular Lectures	91	(128)
Jill Adler
Widening the lens - changing the focus: Researching and describing language practices in multilingual classrooms in South Africa	92	(3)
Claudi Alsina
Gaudi's Ideas for Your Classroom: Geometry for Three-Dimensional Citizens	95	(2)
Luciana Bazzini
Cognitive Processes in Algebraic Thinking and Implications for Teaching	97	(3)
Jerry P. Bekcer
A Perspective for Teaching Elementary School Mathematics based on the Research Literature	100	(2)
Alan J. Bishop
Overcoming Obstacles to the Democratisation of Mathematics Education	102	(3)
Margaret Brown
What Research Evidence Tells Us About Effective Mathematics Teaching for Children aged 6-13	105	(3)
Ricardo Cantoral
A Sociocultural Approach to Infinitesimal Calculus	108	(3)
Megan Clark
Cultural Cross-Purposes and Expectation as Barriers to Success in Mathematics	111	(2)
McKenzie A. Clements
Histrical Trends in Mathematics Education: Developing International Perspective	113	(2)
Beatriz S. D'Ambrosio
The Dilemmas of Preparing Teachers to Teach Mathematics within a Constructivist Framework	115	(3)
Nikolai Dolbilin
Geometry in Russian Schools: Traditions of Past and State in Present	118	(3)
Edward Dubinsky
Towards A Theory of Learning Advanced Mathematical Concepts	121	(3)
M.E.A. El Tom
On the Role of Politics in the Development of Mathematics in Africa	124	(2)
Joan Ferrini-Mundy
National Standards, Local Control of Curriculum: Setting the Course of Mathematics Education in the United States	126	(2)
Fulvia Furinghetti
Mathematics Instruction Unbound: The Contribution of Journal L'enseignement mathématique	128	(3)
Barbro Grevholm
Research on Student Teachers' Learning in Mathematics and Mathematics Education	131	(2)
Yoshihiko Hashimoto
Eliciting Mathematical Ideas from Students: Towards its Realization in Japanese Curricula	133	(2)
Bill Jacob
California's Back-to-Basics Policies and the 1999 Textbook Adoption	135	(1)
Hans Niels Jahnke
Historical Sources in the Mathematics Classroom: Ideas and Experiences	136	(3)
Cyril Julie
Mathematical Artifact Production: Broadening the View of "Doing Mathematics"	139	(3)
Constance Kamii
Primary Arithmetic Based on Piaget's Constructivism	142	(2)
Alexander Karp
Exams in Mathematics (secondary school) - Russian Experience: Traditions, Changes, Difficulties	144	(2)
John Kenelly and Dan Warner
When Machines Do Mathematics, then What Do Mathematics Teachers Teach?	146	(2)
Goetz Krummheuer
Narrative Elements in Mathematical Argumentations in Primary Education	148	(3)
Oh-Nam Kwon
The Role of Personal Computing Technology in Mathematics Education: Today and Tomorrow	151	(2)
Colette Laborde
New Technologies as a Bridge between Various Parts of Mathematics for Pre-service Students Teachers	153	(2)
Ewa Lakoma
History of Mathematics in Educational Research and Mathematics Teaching - the Case of Probability and Statistics	155	(2)
Stephen Lerman
The Socio-cultural Turn in Studying the Teaching and Learning of Mathematics	157	(2)
Frederick K.S. Leung
In Search of an East Asian Identity in Mathematics Education - the Legacy of an Old Culture and the Impact of Modern Technology	159	(3)
Li Chuan Zhong and Zhang Jing Zhong
Automated Reasoning and Educational Intelligent Platform	162	(3)
Shiqi Li
Does Practice Make Perfect?	165	(3)
Lim-Teo Suat Khoh
Enhancing the Mathematical Knowledge of Primary Teachers	168	(3)
Claire Margolinas
Modeling the Teacher's Situation in the Classroom	171	(3)
Tatsuro Miwa
Crucial Issues in Teaching of Symbolic Expressions	174	(3)
David K.J. Mtetwa
Mentoring in Mathematics Teaching and Teacher Preparation in Zimbabwe	177	(2)
Huynh Mui
Computer Science and Toward an Approach in Research on Mathematical Education	179	(2)
Yukihiko Namikawa
Can College Mathematics in Japan Survive?- A Project of Reform	181	(3)
Jarmila Novotna
Student's Levels of Understanding Word Problems	184	(2)
Iman Osta
Teaching Geometry in a Changing World	186	(2)
Han Shick Park
Mathematics for Mathematics Teachers -On Statistics	188	(2)
H. Sakonidis
Mathematics Education for and in the Dominant and Other Cultures: A Multicultural Inquiry	190	(2)
Hyunyong Shin and Inki Han
Mathematics Education for Gifted Students in Korea	192	(3)
R. Soedjadi
Designing Instruction of Values in School Mathematics	195	(2)
Osamu Takenouchi
Some Characteristic Features of Wasan: The Japanese Traditional Mathematics	197	(3)
Peter Taylor and Nathalie Sinclair
Reinventing the Teacher the Teacher as Student; the Teacher as Scholar: the Teacher as Teacher	200	(3)
Dina Tirosh, Ruth Stavy and Pessia Tsamir
The Intuitive Rules Theory: Comparison Situations and Infinite Processes	203	(2)
Lieven Verschaffel
Real-World Knowledge and the Modeling of School Word Problems	205	(2)
Shlomo Vinner
Mathematics Education -Procedures, Rituals and Man's Search for Meaning	207	(3)
Catherine P. Vistro-Yu
Children's Understanding of Basic Measurement Concept: A Cultural Perspective	210	(2)
Shangzhi Wang and Qixiao Ye
Mathematical Modelling In Middle School Education of China	212	(1)
Walter Whiteley
Visual Forms in Mathematics: Thinking, Communicating, Learning	213	(3)
Kiyoshi Yokochi
Mathematics Instruction through the Production of Manipulative Materials	216	(3)
Working Groups for Action	219	(73)
WGA 1: Mathematics Education in Pre- and Primary School	220	(6)
WGA 2: Mathematics Education in Junior Secondary School	226	(6)
WGA 3: Mathematics Education in Senior Secondary Schools	232	(6)
WGA 4: Mathematics Education in Two-Year Colleges and Other Tertiary Institutions	238	(5)
WGA 5: Mathematics Education in Universities	243	(5)
WGA 6: Adult and Life-long Education in Mathematics	248	(5)
WGA 7: The Professional Pre-and In-service Education of Mathematics Teachers	253	(5)
WGA 8: Research, Practice and Theory of Mathematics Education	258	(6)
WGA 9: Communication and Language in Mathematics Education	264	(6)
WGA 10: Assessment in Mathematics Education	270	(3)
WGA 11: The Use of Technology in Mathematics Education (Computers, Calculators, IT Media)	273	(5)
WGA 12: The Social and Political Dimensions of Mathematics Education	278	(9)
WGA 13: History and Culture in mathematics Education	287	(5)
Topic Study Groups	292	(77)
TSG 1: The Teaching and Learning of Algebra	293	(4)
TSG 2: The Teaching and Learning of Geometry	297	(3)
TSG 3: The Teaching and Learning of Calculus	300	(3)
TSG 4: The Teaching and Learning of Statistics	303	(4)
TSG 5: Teaching and Learning Aids and Materials(Hands-on) in Mathematics Education	307	(2)
TSG 6: Distance Learning in Mathematics Education	309	(4)
TSG 7: The Use of Multimedia in Mathematics Education	313	(3)
TSG 8: Vocational Mathematics Education	316	(3)
TSG 9: Mathematical Modeling and Links between Mathematics and Other Subjects	319	(4)
TSG 10: Trends in Mathematics and Mathematical Sciences: Their Reflections on Mathematics Education	323	(2)
TSG 11: Problem Solving in Mathematics Education	325	(2)
TSG 12: Proof and Proving in Mathematics Education	327	(4)
TSG 13: Mathematical Learning and Cognitive Processes	331	(4)
TSG 14: Constructivism in Mathematics Education	335	(4)
TSG 15: Mathematics Education for Students with Special Needs	339	(4)
TSG 16: Creativity in Mathematics Education and the Education of Gifted Students	343	(4)
TSG 17: Mathematics Education and Equity	347	(3)
TSG 18: Mathematics Competitions in Mathematics Education	350	(2)
TSG 19: Entrance Examinations and Public Examinations in Mathematics Education	352	(2)
TSG 20: Art and Mathematics Education	354	(3)
TSG 21: Ethnomathematics	357	(4)
TSG 22: Topics in Mathematics Education in Asian Countries	361	(4)
TSG 23: TIMSS and Comparative Studies in Mathematics Education	365	(4)
Presentation by Distribution and Reports on Working Groups	369	(2)
Presentation by Distribution at WGAs & TSGs	370	(1)
ICMI Studies	371	(7)
Summary Report of the ICMI Study: The Teaching and Learning of Mathematics at University Level	372	(2)
The Role of History of Mathematics in the Teaching and Learning of Mathematics: Presentation of the ICMI Study and the Study Book	374	(4)
Affiliated Study Groups	378	(8)
History of Mathematics at ICME 9	379	(1)
International Organisation of Women and Mathematics Education	380	(2)
Psychology of Mathematics Education at ICME 9	382	(2)
Report on WFNMC Meeting	384	(2)
The Forum of All Chinese Mathematics Educators at ICME 9	386	(5)
Secretary's Closing Remarks	391	(10)
List of Participants	401