Proceedings of the Ninth International Congress on Mathematical Education: 2000 Makuhari Japan

Front Matter....Pages i-xviii
International Round Table: The Role of Mathematics in General Education for the 21st Century....Pages 2-17
Front Matter....Pages 18-18
Goals of Mathematical Education and Methodology of Applied Mathematics....Pages 19-36
Key Issues and Trends in Research on Mathematical Education....Pages 37-57
How Mathematics Teaching Develops Pupils’ Reasoning Systems....Pages 58-72
Developing Mathematics Education in a Systemic Process....Pages 73-90
Front Matter....Pages 91-91
Widening the lens — changing the focus: Researching and describing language practices in multilingual classrooms in South Africa....Pages 92-94
Gaudi’s Ideas for Your Classroom: Geometry for Three-Dimensional Citizens....Pages 95-96
Cognitive Processes in Algebraic Thinking and Implications for Teaching....Pages 97-99
A Perspective for Teaching Elementary School Mathematics based on the Research Literature....Pages 100-101
Overcoming Obstacles to the Democratisation of Mathematics Education....Pages 102-104
What Research Evidence Tells Us About Effective Mathematics Teaching for Children aged 6–13....Pages 105-107
A Sociocultural Approach to Infinitesimal Calculus....Pages 108-110
Cultural Cross-Purposes and Expectation as Barriers to Success in Mathematics....Pages 111-112
Histrical Trends in Mathematics Education: Developing International Perspective....Pages 113-114
The Dilemmas of Preparing Teachers to Teach Mathematics within a Constructivist Framework....Pages 115-117
Geometry in Russian Schools: Traditions of Past and State in Present....Pages 118-120
Towards A Theory of Learning Advanced Mathematical Concepts....Pages 121-123
On the Role of Politics in the Development of Mathematics in Africa....Pages 124-125
National Standards, Local Control of Curriculum: Setting the Course of Mathematics Education in the United States....Pages 126-127
Mathematics Instruction Unbound: The Contribution of Journal L’enseignement mathématique ....Pages 128-130
Front Matter....Pages 91-91
Research on Student Teachers’ Learning in Mathematics and Mathematics Education....Pages 131-132
Eliciting Mathematical Ideas from Students: Towards its Realization in Japanese Curricula....Pages 133-134
California’s Back-to-Basics Policies and the 1999 Textbook Adoption....Pages 135-135
Historical Sources in the Mathematics Classroom: Ideas and Experiences....Pages 136-138
Mathematical Artifact Production: Broadening the View of “Doing Mathematics”....Pages 139-141
Primary Arithmetic Based on Piaget’s Constructivism....Pages 142-143
Exams in Mathematics (secondary school) — Russian Experience: Traditions, Changes, Difficulties....Pages 144-145
When Machines Do Mathematics, then What Do Mathematics Teachers Teach?....Pages 146-147
Narrative Elements in Mathematical Argumentations in Primary Education....Pages 148-150
The Role of Personal Computing Technology in Mathematics Education: Today and Tomorrow....Pages 151-152
New Technologies as a Bridge between Various Parts of Mathematics for Pre-service Students Teachers....Pages 153-154
History of Mathematics in Educational Research and Mathematics Teaching — the Case of Probability and Statistics....Pages 155-156
The Socio-cultural Turn in Studying the Teaching and Learning of Mathematics....Pages 157-158
In Search of an East Asian Identity in Mathematics Education — the Legacy of an Old Culture and the Impact of Modern Technology....Pages 159-161
Automated Reasoning and Educational Intelligent Platform....Pages 162-164
Does Practice Make Perfect?....Pages 165-167
Enhancing the Mathematical Knowledge of Primary Teachers....Pages 168-170
Modeling the Teacher’s Situation in the Classroom....Pages 171-173
Crucial Issues in Teaching of Symbolic Expressions....Pages 174-176
Mentoring in Mathematics Teaching and Teacher Preparation in Zimbabwe....Pages 177-178
Front Matter....Pages 91-91
Computer Science and Toward an Approach in Research on Mathematical Education....Pages 179-180
Can College Mathematics in Japan Survive?- A Project of Reform -....Pages 181-183
Student’s Levels of Understanding Word Problems....Pages 184-185
Teaching Geometry in a Changing World....Pages 186-187
Mathematics for Mathematics Teachers -On Statistics-....Pages 188-189
Mathematics Education for and in the Dominant and Other Cultures: A Multicultural Inquiry....Pages 190-191
Mathematics Education for Gifted Students in Korea....Pages 192-194
Designing Instruction of Values in School Mathematics....Pages 195-196
Some Characteristic Features of Wasan: The Japanese Traditional Mathematics....Pages 197-199
Reinventing the Teacher- the Teacher as Student; the Teacher as Scholar: the Teacher as Teacher....Pages 200-202
The Intuitive Rules Theory: Comparison Situations and Infinite Processes....Pages 203-204
Real-World Knowledge and the Modeling of School Word Problems....Pages 205-206
Mathematics Education -Procedures, Rituals and Man’s Search for Meaning....Pages 207-209
Children’s Understanding of Basic Measurement Concept: A Cultural Perspective....Pages 210-211
Mathematical Modelling In Middle School Education of China....Pages 212-212
Visual Forms in Mathematics: Thinking, Communicating, Learning....Pages 213-215
Mathematics Instruction through the Production of Manipulative Materails....Pages 216-218
Front Matter....Pages 219-219
WGA 1: Mathematics Education in Pre- and Primary School....Pages 220-225
WGA 2: Mathematics Education in Junior Secondary School....Pages 226-231
WGA 3: Mathematics Education in Senior Secondary Schools....Pages 232-237
Front Matter....Pages 219-219
WGA 4: Mathematics Education in Two-Year Colleges and Other Tertiary Institutions....Pages 238-242
WGA 5: Mathematics Education in Universities....Pages 243-247
WGA 6: Adult and Life-long Education in Mathematics....Pages 248-252
WGA 7: The Professional Pre-and In-service Education of Mathematics Teachers....Pages 253-257
WGA 8: Research, Practice and Theory of Mathematics Education....Pages 258-263
WGA 9: Communication and Language in Mathematics Education....Pages 264-269
WGA 10: Assessment in Mathematics Education....Pages 270-272
WGA 11: The Use of Technology in Mathematics Education (Computers, Calculators, IT Media)....Pages 273-277
WGA 12: The Social and Political Dimensions of Mathematics Education....Pages 278-286
WGA 13: History and Culture in mathematics Education....Pages 287-291
Front Matter....Pages 292-292
TSG 1: The Teaching and Learning of Algebra....Pages 293-296
TSG 2: The Teaching and Learning of Geometry....Pages 297-299
TSG 3: The Teaching and Learning of Calculus....Pages 300-302
TSG 4: The Teaching and Learning of Statistics....Pages 303-306
TSG 5: Teaching and Learning Aids and Materials(Hands-on) in Mathematics Education....Pages 307-308
TSG 6: Distance Learning in Mathematics Education....Pages 309-312
TSG 7: The Use of Multimedia in Mathematics Education....Pages 313-315
TSG 8: Vocational Mathematics Education....Pages 316-318
TSG 9: Mathematical Modeling and Links between Mathematics and Other Subjects....Pages 319-322
TSG 10: Trends in Mathematics and Mathematical Sciences: Their Reflections on Mathematics Education....Pages 323-324
Front Matter....Pages 292-292
TSG 11:Problem Solving in Mathematics Education....Pages 325-326
TSG 12: Proof and Proving in Mathematics Education....Pages 327-330
TSG 13: Mathematical Learning and Cognitive Processes....Pages 331-334
TSG 14: Constructivism in Mathematics Education....Pages 335-338
TSG 15: Mathematics Education for Students with Special Needs....Pages 339-342
TSG 16: Creativity in Mathematics Education and the Education of Gifted Students....Pages 343-346
TSG 17: Mathematics Education and Equity....Pages 347-349
TSG 18: Mathematics Competitions in Mathematics Education....Pages 350-351
TSG 19: Entrance Examinations and Public Examinations in Mathematics Education....Pages 352-353
TSG 20: Art and Mathematics Education....Pages 354-356
TSG 21: Ethnomathematics....Pages 357-360
TSG 22: Topics in Mathematics Education in Asian Countries....Pages 361-364
TSG 23: TIMMS and Comparative Studies in Mathematics Education....Pages 365-368
Front Matter....Pages 369-369
Presentation by Distribution at WGAs & TSGs....Pages 370-370
Front Matter....Pages 371-371
Summary Report of the ICMI Study: The Teaching and Learning of Mathematics at University Level....Pages 372-373
The Role of History of Mathematics in the Teaching and Learning of Mathematics: Presentation of the ICMI Study and the Study Book....Pages 374-377
Front Matter....Pages 378-378
History of Mathematics at ICME 9....Pages 379-379
International Organisation of Women and Mathematics Education....Pages 380-381
Psychology of Mathematics Education at ICME 9....Pages 382-383
Report on WFNMC Meeting....Pages 384-385
Front Matter....Pages 386-386
A Report on the Forum of All Chinese Math Educators at ICME 9....Pages 387-390
Secretary’s Closing Remarks....Pages 391-400
Back Matter....Pages 401-430