The Mathematics Education into the 21st
Century Project
Universiti Teknologi
Proceedings
of the Eighth International Conference
Reform, Revolution and Paradigm Shifts in Mathematics Education
Editor
Alan Rogerson
Nov 25th – Dec 1st 2005
Major
Sponsors
AUTOGRAPH, RIC PUBLICATIONS
& CASIO
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VSG
Enrichment
Wholemovement
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The
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ALMA
(Teacher Training
ISBN
Number 83-919465-7-6
Conference Committees
International
Program Committee
Chairman : Dr. Alan Rogerson, International Coordinator of the Mathematics in Society Project
Prof Khaled Abuloum,
Professor Roberto Baldino, UNESP (Brazil).
Dr. Andy Begg , Senior Lecturer in Mathematics Education,
Dr. Donna F. Berlin, Mathematics, Science & Technology Education,
Prof. Dr. Werner Blum,
Professor Ubiratan D'Ambrosio, Emeritus Professor of Mathematics,
Campinas/UNICAMP, (
Professor Bruno D'Amore,
Professor Dr. Tilak de Alwis, Southeastern
Louisiana University (USA)
Prof
Dr William Ebeid, Emeritus Professor, Faculty of Education, Ain Shams
University (Egypt).
Prof. Omar Hassan El Sheikh,
Professor Paul Ernest,
Prof. Dr.
Dr. Madeleine J. Long, Program
Director, American Association for the Advancement of Science
Prof Dr Fayez Mina, Faculty of Education,
Prof Nicolina Malara, University of Modena (Italy)
Prof Dr M. Ali M. Nassar, Director of Planning Center,
Professor Lionel Pereira Mendoza, Associate Professor, National
Institute of Education (
Professor Angela Pesci,
Prof. Medhat Rahim,
Professor Filippo Spagnolo, University of Palermo,
Sicily, (Italy).
Professor Dr. Alicia Villar Icasuriaga,
Instituto de Profesores "Artigas", Montevideo, (Uruguay)
Dr. Arthur L. White, Mathematics, Science, and Technology Education,
Professor. Wacek Zawadowski,
Local
Organizing Committee
Chairman:
Prof. Dr. Noor Azlan Ahmad Zanzali, Faculty
of Education, Universiti Teknologi
Associate
Prof. Dr. Md. Nor Bakar
Associate Prof. Dr. Zaleha Ismail
Associate Prof. Dr. Mohini Mohamed
Associate Professor Aziz Nordin
Dr. Zaidatun Tasir
Secretariat:
En. Asram Sulaiman @ Saim
Puan Sumi Hj. Isman
En. Bahrim Kasim
Foreword
This volume contains the papers presented at the International
Conference on Reform, Revolution and Paradigm Shifts in
Mathematics Education held from November 25 to December 1st,
2005 at the
The title Reform, Revolution and Paradigm Shifts in Mathematics Education
derives from Kuhn's seminal work on "The Structure of Scientific
Revolutions" which made popular the concept of "paradigm shift",
and the work of Lakatos which revealed the essentially creative and human
nature of progress in science and mathematics. We hope these powerful ideas
will help to inspire our conference.
The Mathematics Education into the 21st Century Project is dedicated to the improvement
of mathematics education world-wide through the publication and dissemination
of innovative ideas. Many prominent mathematics educators have supported and
contributed to the project, including the late Hans Freudental, Andrejs Dunkels
and Hilary Shuard, as well as Bruce Meserve and Marilyn Suydam, Alan Osborne
and Margaret Kasten, Mogens Niss, Tibor Nemetz, Ubi D’Ambrosio, Brian Wilson,
Tatsuro Miwa, Henry Pollack, Werner Blum, Roberto Baldino, Waclaw Zawadowski,
and many others throughout the world. Information on our project and its future
work can be found on the following webpages.
http://math.unipa.it/~grim/21_malasya_2005.doc - Malaysia 2005 Conference
http://math.unipa.it/~grim/21project.htm - Our Project Home Page
http://math.unipa.it/~grim/egypt.pdf -
Egypt Conference site
http://math.unipa.it/~grim/jourdain -
http://math.unipa.it/~grim/cairms -
http://math.unipa.it/~grim/palermo2002 -
Sicily Conference site
http://dipmat.math.unipa.it/~grim/21_project/21_brno_03.htm - Brno Conference site
http://math.unipa.it/~grim/21_project/21_ciechocinek_04.htm - Ciechocinek Conference site
Filippo Spagnolo, of
Krys Bestry is webmaster for our Polish Superkurs Home Page at http://superkurs.republika.pl/ (in Polish -
but with pictures!) See also:
http://www.vsg.edu.au/egypt99/ and for more information about our project and
its work.
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 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 two commissioned 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. For further information about the work
of our Project, please email arogerson@vsg.edu.au
Dr. Alan Rogerson
Chaiman of the Programme Committee
Presented
Papers
Comparing mathematics
education traditions in four European countries: The case of the teaching of
percentages in the primary school
Erik De Corte, Fien Depaepe, Peter Op ’T Eynde & Lieven Verschaffel .......1 Presentation with Power Point
Maria Ajello, Filippo Spagnolo, Zhang Xiaogui .....12
Learning with
Examples and Students’ Understanding of Integration
Shafia Abdul-Rahman .....24
Share the Experience!
Problem-Solving is No Longer a
Problem.
Fadia Abou Najem .....29
Teachers’
competency in the teaching of mathematics in English in Malaysian secondary schools
Hamidah Ab Rahman, Aziz Nordin, Mukheta Isa, Fatimah Puteh, et al. .....31
Students Problem
Solving Processes in LOGO Programming Environment Pengaturcaran LOGO
Suguna Appalanayudu, Zaleha Ismail .....37
Dynamic Worksheets – a
Tool for Individual and Cooperative Learning
Peter Baptist .....41
Mathematics education
in Finland – what makes it work?
Ole Bjorkqvist .....45
Thinking mathematically –
making sense and solving problems
George Booker .....49
Enhancement of Teaching
Policy by means of Technology
Hennie Boshoff .....54
Curriculum Issues in
Statistics Education
Gail Burrill .....59
The mathematics
allergy: Is Drama in Education the
much-needed antidote?
Carol Carter and Lise Westaway .....65
Emphasis on Problem Solving in Mathematics Textbooks from Two
Different
Jaguthsing Dindyal .....70
Early School Leavers Experiences
Of Learning Mathematics: The Discourses
Bronwyn Ewing .....75
The Two Fundamental Learning Games We Play: A Framework For
Gary Flewelling .....81
Introducing
the Least Squares Regression Principle with Computer Technologies
Patricia A Forster .....87
SEARCHING for control in a post-modern mathematics classroom.
Noel Geoghegan .....92
Dominant Representation In The Understanding Of Basic Integrals
Among Post Secondary Students
Munirah Ghazali, Siti Aishah
Sheikh Abdullah, Zurida Ismail, Mohd Irwan Idris .....97
The Role of Professional Development Networks in Reforming
Mathematics
Amal
Elementary Mathematics Pre-Service Teachers’ Learning from
Cases
Marjorie Henningsen ...106
Conceptests: Active Learning In Calculus
Deborah Hughes Hallett, Maria Robinson, David Lomen ...112
The Mathematics Carnival:
A Platform to Appreciate Mathematics
Zaleha Ismail, Mohd Khalid
Kasmin & Norma Alias ...115
Mathematics textbooks – the link between the intended and the
implemented curriculum?
Monica Johansson ...119
Iris Johnson ...124
Kwan Shi-pui & Sze Chong-lap ...129
Lim Chap Sam, Allan Leslie
White & Chiew Chin Mon ...135
Recruiting, Educating, and
Retaining Teachers of Mathematics
Madeleine J. Long ...140
Developing mathematical thinking with the assistance of
manipulatives
Linda Marshall & Paul Swan ...144
Using Autobiography To
Change Preservice Teachers’ Attitudes Towards Mathematics
Keith McNaught ...148
Reform, Revolution and
Paradigm Shifts in Mathematics Education. Some
Examples and Applicable
Strategies
Fayez M. Mina ...154
The Use Of
Metacognitive Process In Learning Mathematics
Mohini Mohamed & Tan Ten Nai ...159
An Evaluative
Study to Pre-service Primary Teachers in Mathematics in Egypt
Ayman
Moustafa Moustafa ...163
Enriching math teaching by computers
Marjatta Näätänen ...169
Innovative and Technology Based Methods of Teaching Statistics
Concepts
Mehryar
Nooriafshar ...172
Teaching Mathematics:
Tablet PC Technology adds a new dimension
Werner Olivier ...176
New Possibilities
in Analysis using the ClassPad300Plus
Ludwig Paditz ...182
Identifying mentoring practices for developing effective
primary mathematics teaching
Peter Hudson and Robert Peard ...189
Math
Anxiety in Junior/Intermediate Pre-Service Teachers
Medhat H. Rahim & Matthew
Koeslag ...194
Making the most of
games: Lesson learned from playing Numero
Paul Swan & Linda
Marshall. ...199
Preparing Teachers to Teach Mathematics to Students with
Learning Disabilities
Tony Thompson ...204
Misconceptions And
Difficulties With The Chain Rule
Tangül Uygur
& Aynur Özdaş ...209
Nancy Nui Wambui ...214
“Masifunde Nosapho” (“Let us learn with our families”)
Lise Westaway & Carol Carter ...218
PARADIGM SHIFTS IN MATHEMATICS
EDUCATION Presentation Power Point
Paul Ernest
Longitudinal assessment of
problems solving and mathematical competences
Verónica Díaz &. Alvaro Poblete
Improving the professional competence of mathematics
teachers
Verónica Díaz &. Alvaro Poblete
Workshop Presentations
& Short Abstracts
Mathematica©
As a Tool For Exploring Mathematics
Mohamad Faisal Abdul Karim ...223
Secondary Students Scheme of Composite Functions
Siti Aishah Sh.Abdullah & Fatimah Saleh ...224
Teaching about Islamic Art/Learning Geometry, Teaching
Geometry/Learning
Carol Bier ...224
George Booker ...227
Teacher-student
cooperation
Josephine Buskes ...227
Liv Sissel Grønmo ...227
Jean Michel Hanna ...228
Wholemovement of Folding Circles
Mathematical Experiences in a Technology Integration Research
Study Presentation with power point
Mhairi (Vi) Maeers ...230
Dave Miller and Doug Averis ...231
Being Mathematical: New Questions for Old Yudariah Mohd. Yusof and
Roselainy Abdul Rahman ...231
Invoking Students’ Use of their Own Powers of Mathematical
Thinking Workshop
Yudariah Mohd. Yusof & Roselainy Abdul Rahman.
...232
An Introduction
to Dynamic Programming - The Two Hour Challenge
Mehryar Nooriafshar ...232
Stochastics/Simulation and Exploration with the new
ClassPad300plus
Ludwig Paditz ...233
Autograph is a dynamic software
which is effective, efficient and FUN for both teacher and student.
Cecily Peters ...236
Visualizing
Algebra Using Dynamic Geometry® Software
Steve Rasmussen ...236
Kerry J Thomas ...237
Rüdiger Vernay ...237
Integrating
Constructivist approaches in e-learning to enhance mathematical self-study
Ya Ling Lee ...238