Part I Opening Ceremonies
Opening Address: President of IMU. . . 3 Ingrid Daubechies
Opening Address: President of ICMI. . . 5 Bill Barton
Welcome Address: Chair of IPC . . . 9 Sung Je Cho
Congratulatory Remarks: Minister of Education
and Science, and Technology. . . 11 Ju Ho Lee
ICMI Awards Report . . . 13 Carolyn Kieran
Part II Plenary Lectures
The Butterfly Effect. . . 19 Étienne Ghys
Whither the Mathematics/Didactics Interconnection?
Evolution and Challenges of a Kaleidoscopic Relationship
as Seen from an ICMI Perspective. . . 41 Bernard R. Hodgson
ix
Mathematics Education in the National Curriculum—with
Some Reflections on Liberal Education. . . 63 Lee Don-Hee
Quality Teaching of Mathematical Modelling: What Do We Know,
What Can We Do? . . . 73 Werner Blum
Part III Plenary Panels
The TEDS-M: Important Issues, Results and Questions. . . 99 Konrad Krainer, Feng-Jui Hsieh, Ray Peck and Maria Teresa Tatto
Mathematics Education in East Asia . . . 123 Frederick K.S. Leung, Kyungmee Park, Yoshinori Shimizu
and Binyan Xu
Gender and Mathematics Education Revisited . . . 145 Gilah C. Leder
Part IV Awardees
Teaching Mathematics in Tomorrow’s Society:
A Case for an Oncoming Counter Paradigm. . . 173 Yves Chevallard
Mathematics for All? The Case for and Against National Testing . . . . 189 Gilah C. Leder
Early Algebraic Thinking: Epistemological, Semiotic,
and Developmental Issues . . . 209 Luis Radford
How We Think: A Theory of Human Decision-Making,
with a Focus on Teaching . . . 229 Alan H. Schoenfeld
Part V Survey Teams
Curriculum and the Role of Research. . . 247 Gail Burrill, Glenda Lappan and Funda Gonulates
Key Mathematical Concepts in the Transition from Secondary
School to University. . . 265 Mike O.J. Thomas, Iole de Freitas Druck, Danielle Huillet,
Mi-Kyung Ju, Elena Nardi, Chris Rasmussen and Jinxing Xie Socioeconomic Influence on Mathematical Achievement:
What Is Visible and What Is Neglected . . . 285 Paola Valero, Mellony Graven, Murad Jurdak, Danny Martin,
Tamsin Meaney and Miriam Penteado
Part VI National Presentations
National Presentation of Korea . . . 305 Sun-Hwa Park
Mathematics Education in Singapore. . . 311 Berinderjeet Kaur, Cheow Kian Soh, Khoon Yoong Wong,
Eng Guan Tay, Tin Lam Toh, Ngan Hoe Lee, Swee Fong Ng, Jaguthsing Dindyal, Yeen Peng Yen, Mei Yoke Loh,
Hwee Chiat June Tan and Lay Chin Tan
National Presentation of the United States of America. . . 317 Rick Scott
National Presentation of India. . . 325 K. Subramaniam
Spanish Heritage in Mathematics and Mathematics Education. . . 331 L. Rico
Part VII Regular Lectures
Abstracts of Regular Lectures . . . 345 Sung Je Cho
Part VIII Topic Study Groups
Mathematics Education at Preschool Level. . . 381 Tamsin Meaney
Mathematics Education at Tertiary Level and Access
to Tertiary Level. . . 385 Ansie Harding and Juha Oikkonen
Activities and Programs for Gifted Students. . . 389 Peter Taylor and Roza Leikin
Activities and Programs for Students with Special Needs. . . 397 Jean-Philippe Drouhard
Mathematics Education in and for Work. . . 403 Geoff Wake and Keiko Yasukawa
Mathematical Literacy. . . 409 Mogens Niss
Teaching and Learning of Number Systems and Arithmetic
(Focusing Especially on Primary Education). . . 415 Joana Brocardo and Geoffrey B. Saxe
Measurement—Focusing Especially on Primary Education . . . 419 JeongSuk Pang and Kees Buijs
Teaching and Learning of Algebra. . . 425 Rakhi Banerjee and Luis Puig
Teaching and Learning Geometry . . . 431 Colette Laborde
Teaching and Learning of Probability . . . 437 Per Nilsson and Jun Li
Teaching and Learning of Statistics. . . 443 Dani Ben-Zvi and Katie Makar
Teaching and Learning of Calculus . . . 447 Victor Martinez-Luaces and Sunsook Noh
Reasoning, Proof and Proving in Mathematics Education . . . 453 Viviane Durand-Guerrier
Mathematical Problem Solving. . . 459 Manuel Santos-Trigo and Zahra Gooya
Visualization in the Teaching and Learning of Mathematics . . . 463 Gert Kadunz and Michal Yerushalmy
Mathematical Applications and Modelling in the Teaching
and Learning of Mathematics . . . 469 Jill Brown and Toshikazu Ikeda
Analysis of Uses of Technology in the Teaching of Mathematics . . . 475 Morten Misfeldt and Wei-Chi Yang
Analysis of Uses of Technology in the Learning of Mathematics . . . 479 Marcelo C. Borba and Hans-Georg Weigand
The Role of History of Mathematics in Mathematics Education. . . 485 Renaud Chorlay and Wann-Sheng Horng
Research on Classroom Practice. . . 489 Yeping Li and Hélia Oliveira
Learning and Cognition in Mathematics. . . 497 Gaye Williams and Hsin Mei Huang
Mathematical Knowledge for Teaching at Primary Level . . . 503 Len Sparrow
Mathematical Knowledge for Teaching at the Secondary Level. . . 507 Aihui Peng and Hikma Smida
In-Service Education, Professional Development
of Mathematics Teachers. . . 513 Shuhua An and Andrea Peter-Koop
Pre-service Mathematical Education of Teachers. . . 517 Sylvie Coppéand Ngai-Ying Wong
Motivation, Beliefs, and Attitudes Towards Mathematics
and Its Teaching. . . 523 Birgit Pepin and Ji-Won Son
Language and Communication in Mathematics Education. . . 529 Tracy Craig and Candia Morgan
Gender and Education. . . 535 Olof Steinthorsdottir and Veronique Lizan
Mathematics Education in a Multilingual
and Multicultural Environment . . . 539 Anjum Halai and Richard Barwell
Tasks Design and Analysis. . . 545 Xuhua Sun and Lalina Coulange
Mathematics Curriculum Development. . . 549 Koeno Gravemeijer and Anita Rampal
Assessment and Testing in Mathematics Education. . . 557 Christine Suurtamm and Michael Neubrand
The Role of Mathematical Competitions and Other Challenging
Contexts in the Teaching and Learning of Mathematics . . . 563 Mariade Losada and Ali Rejali
The History of the Teaching and Learning of Mathematics. . . 569 Fulvia Furinghetti
The Role of Ethnomathematics in Mathematics Education. . . 575 Pedro Palhares and Lawrence Shirley
Theoretical Issues in Mathematics Education: An Introduction
to the Presentations. . . 579 Angelika Bikner-Ahsbahs and David Clarke
Part IX Discussion Groups
Current Problems and Challenges in Non-university
Tertiary Mathematics Education (NTME). . . 587 James Roznowsk and Huei Wuan Low-Ee
Creativity in Mathematics Education. . . 591 Hartwig Meissner
Issues Surrounding Teaching Linear Algebra. . . 593 Avi Berman and Kazuyoshi Okubo
The Evolution of Mathematics-Teachers’Community-of-Practice. . . 597 Nitsa Movshovitz-Hadar and Atara Shriki
Uses of History of Mathematics in School (Pupils Aged 6–13) . . . 601 Bjørn Smestad
Postmodern Mathematics. . . 605 Paul Ernest
Improving Teacher Professional Development Through
Lesson Study. . . 609 Toshiakira Fujii and Akihiko Takahashi
Theory and Perspective of Mathematics Learning and Teaching
from the Asian Regions. . . 613 Chun Chor Litwin Cheng
Using Technology to Integrate Geometry and Algebra
in the Study of Functions. . . 617 Scott Steketee
New Challenges in Developing Dynamic Software
for Teaching Mathematics. . . 621 Zsolt Lavicza and Balazs Koren
Mathematics Teacher Retention. . . 625 Axelle Faughn and Barbara Pence
Mathematics Teacher Educators’Knowledge for Teaching . . . 629 Kim Beswick and Olive Chapman
The Role of Mathematics Education in Helping to Produce
a Data Literate Society . . . 633 William Finzer
Mathematical Modeling in Connecting Concepts to Real
World Application. . . 639 Zhonghe Wu and Lijun Ye
Mathematics and Culture in Micronesia: An Exploration
of the Mathematical Aspects of Indigenous Practices. . . 641 A.J. (Sandy) Dawson
Can Art Save Mathematics?. . . 643 Dirk Huylebrouck
Teaching of Problem Solving in School Mathematics Classrooms. . . 645 Yew Hoong Leong and Rungfa Janjaruporn
Erratum to: Congratulatory Remarks: Minister of Education
and Science, and Technology. . . E1 Ju Ho Lee