The Mathematics Education into the 21st Century Project
The Decidable and the Undecidable in Mathematics Education
September 19-25 2003
CASIO & AUTOGRAPH
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The Mathematics Education into the 21st Century Project wishes to thank
Brno University of Technology
Statutory City of Brno
Masaryk University, Brno
The Union of Czech Mathematicians and Physicists
The Hong Kong Institute of Education
The Third World Forum
ALMA (Teacher Training Centre, Poland)
SNM (Polish Association of Teachers of Mathematics)
Znovín Znojmo a.s
ISBN Number 83-919465-1-7
International Program Committee
Chairman Dr. Alan Rogerson, International Coordinator of the Mathematics in Society Project (Poland).
Prof Khaled Abuloum, University of Jordan (Jordan).
Professor Roberto Baldino, UNESP (Brazil).
Dr. Andy Begg , Senior Lecturer in Mathematics Education, University of Waikato (OU/New Zealand).
Dr. Donna F. Berlin, Mathematics, Science, and Technology Education, The Ohio State University (USA)
Prof. Dr. Werner Blum, University of Kassel (Germany).
Professor Ubiratan D'Ambrosio, Emeritus Professor of Mathematics, Campinas/UNICAMP, (Brazil).
Professor Bruno D'Amore, University of Bolgna (Italy).
Tilak de Alwis, Southeastern Louisiana
Prof Dr William Ebeid, Emeritus Professor, Faculty of Education, Ain Shams University (Egypt).
Prof. Omar Hassan El Sheikh, University of Jordan (Jordan).
Professor Paul Ernest, Professor of the Philosophy of Mathematics Education, University of Exeter (UK).
Prof. Dr. Gabriele Kaiser, Hamburg University (Germany).
Dr. Madeleine J. Long, Program Director, American Association for the Advancement of Science (USA).
Prof Dr Fayez Mina, Dept. of Curriculum & Instruction, Faculty of Education, Ain Shams University (Egypt).
Prof Nicolina Malara, University of Modena (Italy)
Prof Dr M. Ali M. Nassar, Director of Planning Center, Institute of National Planning (Egypt).
Professor Lionel Pereira Mendoza, Associate Professor, National Institute of Education (Singapore).
Professor Angela Pesci, University of Pavia (Italy)
Prof. Medhat Rahim, Lakehead University, Faculty of Education (Canada).
Professor Filippo Spagnolo, University of Palermo, Sicily, (Italy).
Professor Dr. Alicia Villar Icasuriaga, Instituto de Profesores "Artigas" (IPA), Montevideo, (Uruguay)
Dr. Arthur L. White, Mathematics, Science, and Technology Education, The Ohio State University ( USA)
Professor. Wacek Zawadowski, Warsaw University (Poland).
Local Organizing Committee
Prof.Dr. Ivan Mezník, Pro Dean, Faculty of Business and Management, Brno University of Technology
Local Conference Secretary:
Dr. Zuzana Chvátalová, Faculty of Business and Management, Brno University of Technology
Prof. Dr. Jan Chvalina, Head, Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology
Prof. Ing. Jiří Dvořák, Faculty of Business and Management, Brno University of Technology
Prof.dr.Jiří Hřebíček, Faculty of Informatics, Masaryk University Brno
Assoc.Prof. Ing. Miloš Koch, Dean, Faculty of Business and Management, Brno University of Technology
Assoc.Prof.Dr.Václav Viktora, Head, Department of Mathematics, Faculty of Education, Masaryk University Brno
Assoc.Prof. Dr. Jaromír Vosmanský, Faculty of Science, Masaryk University Brno
This volume contains the papers presented at the International Conference on The Decidable and the Undecidable in Mathematics Education held from September 19-25, 2003 at the Hotel Continental, Brno, Czech Republic. This Conference was organized by The Mathematics Education into the 21st Century Project - a non-commercial international educational project founded in 1986. Our Project is dedicated to the improvement of mathematics education worldwide through the publication and dissemination of innovative materials and ideas. Previous successful Conferences have been held in Cairo, Egypt (1999), Amman, Jordan (2000), Zajaczkowo Poland, Palm Cove, Australia (2001) and Sicily, Italy (2002).
It has been my pleasure to read all of the papers and to edit them for these Proceedings. Not all papers are about research in mathematics education, a number of them report on innovative experiences in the classroom and on new technology. We believe that “mathematics education” is fundamentally a “practicum” and so in order to be “successful” all new materials, new ideas and new research must be tested and implemented in the classroom, the real “chalk face” of our discipline, and of our profession as mathematics educators .
These Proceedings begin with the Plenary Papers and otherwise contain contributions mostly in alphabetical order of the Principal Presenters. I sincerely thank all of the contributors for their time and creative effort. It is clear from the variety and quality of the papers that the conference has attracted many innovative mathematics educators from around the world. These Proceedings will therefore be useful in reviewing past work and looking ahead to the future. They will also serve as a stepping stone for the new and exciting International Initiative, SuperCourse, which will feature strongly throughout the conference programme. For further information about this initiative and the work of our Project, please email firstname.lastname@example.org
Finally a word about our conference theme - The Decidable and the Undecidable - a tribute of course to Kurt Godel, who was born and educated in Brno before moving to Vienna and the United States. The importance of his work, in freeing mathematics from the alluring but simplistic idea that all mathematics can be deduced from a few logical axioms, cannot be overestimated. Mathematics, like art, like music and literature, and like life itself, has the power to make us happy by means of our personal creativity and openness, and through our own personal resolution of what is decidable, and what is undecidable, not only in mathematics and not only in mathematics education, but in life itself.
Dr. Alan Rogerson
Chaiman of the Programme Committee
The Special Teacher Czech Day: