Electronic Proceedings of ATCM 2006
Editors: Sung-Chi Chu, Shui-Hung Hou & Wei-Chi Yang
December 2006
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
Plenary Speech
Free Software Packages Available to Develop Online Courseware In Mathematical Education
Tsoy-Wo MA
University of Western Australia
Australia

 abstract
Page 1 of Full Paper
Geometric Reasoning with Invariant Algebras
Hongbo LI
Academy of Mathematics and Systems Science
Chinese Academy of Sciences
China

 abstract
Page 1 of Full Paper
Integration of Graphing Calculators into the Pre-university Mathematics Curriculum
Wee Leng NG
National Institute of Education
Nanyang Technological University
Singapore

 abstract
Page 1 of Full Paper
Is it time for ICT to drive the curriculum?
Douglas BUTLER
Oundle School
United Kingdom

 abstract

Old Wine in a New Bottle?
The Use of Information and Communication Technology in Mathematics Teaching and Learning
Koon-shing Frederick LEUNG
The University of Hong Kong
Hong Kong

 abstract
The Beauty of Duality and Triality in Mathematics and Sciences
David GAO
Virginia Polytechnic Institute and State University
U.S.A.

abstract
Zermelo's Navigation Problem: Optimal Control, Geometry and Computer Algebra
Matthias KAWSKI
Arizona State University
United States

 abstract
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
Invited Talks
e-Textbooks: Advancing Mathematics Teaching and Learning into the Future
Masami ISODA1, Yasuyuki IIJIMA2, Kyutaro HARA3, Eigo UEHARA4, Hiroshi WATANABE5, Tomohito NAKAJIMA5 & Takashi YAMAGUCHI5
1University of Tsukuba
2Aichi University of Education
3NPO Urap
4Ono-Gami Elementary School
5Zeta
Japan

 abstract
Page 1 of Full Paper
Enhancement of Engineering Education via E-Mathematics
Thomas W.C. HU
The Hong Kong University of Science & Technology
Hong Kong

 abstract
Hyperbolic Functions of Multiple Angles and Special Identities with Binomial Coefficients
Tilak de ALWIS
Southeastern Louisiana University
United States

 abstract
New Dimensions in Mathematics Technology with Cabri3D
Jean-Marie Laborde
Cabrilog
France

 abstract
Teaching and Learning Mathematics with SSP
Jingzhong ZHANG
Guangzhou University
China

 abstract
Technology for Today and the Future
Hideshi FUKAYA1, Wei-Chi YANG2 & Diane WHITFIELD1
1CASIO Education Technology M.R.D. Center
2Radford University
U.S.A.

 abstract
Technology-Enriched Mathematics Learning: What is the Teacher's Role?
Merrilyn GOOS
The University of Queensland
Australia

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Page 1 of Full Paper
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
Special Session
Connecting Dynamic Geometry and Analytical Geometry
   Jen-chung CHUAN, National Tsing Hua University, Taiwan
   Matthias KAWSKI, Arizona State University, U.S.A.
   Colette LABORDE, Institut Univ. Formation des maitres, France
   Miroslaw MAJEWSKI. Zayed University. United Arab Emirates
   Wei-Chi YANG. Radford University. U.S.A.

 abstract
Page 1 of Full Paper
Page 1 of Full Paper
Integration of Graphics Calculators into the Mathematics Curriculum - Australia, Hong Kong and Singapore
Panelists (in alphabetical order):

   Peter JONES, Swinburne University, Australia
   Wee Leng NG, Nanyang Technological University, Singapore
   Kwok-chun TANG, Hong Kong Baptist University, Hong Kong SAR, China

 abstract
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
Contributed Paper
A Numerical Solution for Fractional Differential Equations
H. PARSIAN
Bu Ali Sina University
Iran

 abstract
Page 1 of Full Paper
A Problem of Wetzel's: Fitting Triangle in a Rectangle
Lu YANG & Zhenbing ZENG
East China Normal University
China

 abstract
Page 1 of Full Paper
Build Interactive Mathematics Web Services Using Ajax Technology and Automated Reasoning Tools
Zhenbing ZENG
East China Normal University
Hongguang FU
Chengdu Institute of Computer Applications
China

 abstract
Page 1 of Full Paper
Cabri 3D: Some Possibilities
Kate MACKRELL
Queen's University
Canada

 abstract
Page 1 of Full Paper
Comparing Web Resources for Curriculum Development of Mathematics Education
Maryam BEHNOODI
Jun MORIYAMA
Hyogo University of Teacher Education
Japan

 abstract
Page 1 of Full Paper
Conic Section and Eccentricity: How The Geometer's Sketchpad (GSP) Enhance Students' Understanding
Krongthong KHAIRIREE
Suan Sunandha Rajabhat University
Thailand

 abstract
Page 1 of Full Paper
Design and Implementation of MAML
Guanyu LI
Wei SU
Yanjuan ZHAO
Lian LI
Lanzhou University
China

 abstract
Page 1 of Full Paper
Designing Applets to Build on Intuition
Roger DUKE
University of Queensland
Australia
Alan GRAHAM
Open University
U.K.

 abstract
Page 1 of Full Paper
Development of the Active Teaching Materials in Mathematics Education
Tadashi TAKAHASHI
Kobe University
Japan

 abstract
Page 1 of Full Paper
Domain Expert Module for Step-By-Step Linear Equation Solving
Marina ISSAKOVA
University of Tartu
Estonia

 abstract
Page 1 of Full Paper
Enhancing Conceptual Understanding in Mathematics Through LAB Modules via Computer Algebra
Jonaki B GHOSH
Delhi Public School R K Puram
India

 abstract
Page 1 of Full Paper
Error Diagnosis and Categorization in Problem Solving Environment Using Action-Object-Input Scheme
Dmitri LEPP
University of Tartu
Estonia

 abstract
Page 1 of Full Paper
Evaluating Airport Services Using Fuzzy Approximate Reasoning
Ku Ruhana Ku-Mahamud
Universiti Utara Malaysia
Mahmod Othman
Universiti Teknologi MARA
Malaysia

 abstract
Page 1 of Full Paper
Factors Influencing Teacher Integration of Graphic Calculators in Teaching Mathematics
Ye Yoon HONG
Michael O. J. THOMAS
The University of Auckland
New Zealand

 abstract
Page 1 of Full Paper
Importance of Linguistic Explanation in Mathematics Education, and the Support from Technology
Hitoshi NISHIZAWA
Takayoshi YOSHIOKA
Toyota National College of Technology
Japan

 abstract
Page 1 of Full Paper
MathEdit, A Browser-based Visual Mathematics Expression Editor
Wei SU1, Paul WANG2, Lian LI1, Guanyu LI1, Yanjuan ZHAO1
1Lanzhou University
China
2Kent State University
U.S.A.

 abstract
Page 1 of Full Paper
Modeling in Middle and High School Mathematics
Zhonghong JIANG
New York University
U.S.A.

 abstract
Page 1 of Full Paper
Online Weekly Quizzes in a Numeracy Unit Within a University Preparation Course
Robyn ROBERTSON
Edith Cowan University
Australia

 abstract
Page 1 of Full Paper
Some Optimization Problems in Two and Three Dimensions
Wei-Chi YANG
Radford University
U.S.A.

 abstract
Page 1 of Full Paper
Strategies in Maximizing the Use of Existing Technology in Philippine Schools
Debbie Marie Y. BAUTISTA
Ma. Louise Antonette N. De Las PENAS
Ateneo de Manila University
Philippines

 abstract
Page 1 of Full Paper
Studying Non-Euclidean Tilings and Their Groups with the Aid of Technology
Ma. Louise Antonette N. De Las Penas
Glenn R. LAIGO
Eden Delight B. PROVIDO
Ateneo de Manila University
Philippines

 abstract
Page 1 of Full Paper
Technology in Mathematics: A Course on Doing Mathematics with the Natural Inclusion of Technologies (Computer and Calculator)
Susan BARTON
Brigham Young University-Hawaii
U.S.A.

 abstract
Page 1 of Full Paper
TexMat: A Multimedia Constructivist Learning Environment
Ana BREDA
Eugenio ROCHA
Jose MARTINS
University of Aveiro
Portugal

 abstract
Page 1 of Full Paper
The Third Motivation for Spherical Geometry
Yoichi MAEDA
Tokai University
Japan

 abstract
Page 1 of Full Paper
Using EXCEL for Teaching Elementary Statistics
Lyn BLOOM, Ute MUELLER & Sandra PEREIRA
Edith Cowan University
Australia

 abstract
Page 1 of Full Paper
Using Inductive approach to teach Statistics (Measures of Dispersion) with the aid of Microsoft Excel Spreadsheet
F.H. CHEN
Millennia Institute
Singapore

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Page 1 of Full Paper
Using Multi-Monitor Technology to Construct a Simultaneous Authoring and Synchronized Mathematical Teaching Aided System
Pao-Ta YU
Li-Wei HSIAO
Ting-Wen CHANG
National Chung Cheng University
Taiwan

 abstract
Page 1 of Full Paper
Using of Virtual Manipulatives on the Web-A Case Study of Four Elementary School Teachers
Yuan YUAN
Chung Yuan Christaian University
Taiwan

 abstract
Page 1 of Full Paper
Visualizing Polygonal Objects in 3D with Computer Algebra Systems, Waterman Polyhedra Case Study
Miroslaw MAJEWSKI
Zayed University
United Arab Emirates

 abstract
Page 1 of Full Paper
Why and How of Interactive Mathematical Documents on World Wide Web
Ravinder KUMAR
Alcorn State University
U.S.A.

 abstract
Page 1 of Full Paper
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
Abstract
An Exploration on Some Hot Issues in Mathematics Education in Mainland China
Naiqing SONG
Southwest University
China

 abstract
Asymptotically Nonexpansive Semi-Groups and Strong Convergence Theorems
S.S. CHANG
Yibin University
China

 abstract
Center Conditions for Differential System of Center-Focus Type
Wenting ZHANG
Beihang University
China

 abstract
Computer Lab Sessions for Undergraduate Math Courses: Is It a Waste of Time?
Victor TAN
National University of Singapore
Singapore

 abstract
CPLua: An Extension Language Empowering the ClassPad 300
Mun Chou FONG
QED Education Scientific
Malaysia

 abstract
Cross Subjects Learning by Acquiring Real Data through Technology
運用科技採集真實數據，實踐跨學科學習
Ka-yiu LAM
South Tuen Mun Government Secondary School
Hong Kong
(Delivered in Cantonese 廣東話)

 abstract
Development of a Web-based e-Learning Package for Additional Mathematics in Malaysian Secondary School
Hong Eng DING
Sains Alam Shah Secondary School
Soh Wen THING
Khan Wooi NG
Yi Cheng NING
Univerity Tunku Abdul Rahman
Malaysia

 abstract
Development of Teaching Program of Involution System of Quadrangles Using GSP
In Kyung KIM
Seung Ho MUN
Korea National University of Education
Korea

 abstract
From Rabbits to Plants - All in Divine Ratio
Kanchan MANAKTALA
Alcorn State University
U.S.A.

 abstract
Grobner-Shirshov Bases for Schreier Extensions of Groups
Yuqun CHEN
South China Normal University
China

 abstract
Instrumentation of the Drag Mode in the Introduction to Deductive Reasoning with Cabri-geometry
Sophie Soury-Lavergne
IUFM of Grenoble & University Joseph Fourier
France

 abstract
Interactive Symbolic Geometry
Philip Todd
Saltire Software Inc
U.S.A.

 abstract
Introducing CAS in Statewide Mathematics Examinations at the University Entrance Level: a Brief Case Study
Peter JONES
Swinburne University
Australia

 abstract
MathBlackBoard as Dynamic Input-and-Edit System for Mathematical Expressions
Hiroaki DEGUCHI
Kobe Gakuin University
Japan

 abstract
Preparedness of Bridge Students to Enter College Algebra Course
Marleonie BAUYOT
San Pedro College
Philippines

 abstract
Products of Geometric Transformations: Developing Expertise by Using the TI-84’s Cabri Jr.
Jack CARTER
California State University
Beverly FERRUCCI
Keene State College
United States
 abstract
Reformation Through Merging Higher Algebra and Analytic Geometry
Guiyun CHEN
Southwest University
China

 abstract
Rule Discovering and Justification in Magthematical Problem Solving Activities with Spreadsheet
Hong-Chan SON
Hee-chan LEW
Korea national University of Education
South Korea

 abstract
Set Operations with MAPLE 10 Embedded Components
Adem KILICMAN
University Putra Malaysia
Latifah Md ARIFFIN
Kolej Universiti Teknologi Tun Hussein Onn
Malaysia

 abstract
Some Unmotivated Cabri 3D Constructions
Jen-chung CHUAN
National Tsing Hua University
Taiwan

 abstract
Space Redundancy and Norm Redundancy
Akbar NAZARI
Shahid Bahonar University of Kerman
Iran

 abstract
Studentes' Learning Geometry with Dynamic Geometry Software
Man Yee KONG
Lee Ching Dea Memeorial College
Hong Kong

 abstract
The Electronic Portfolio Assignment in the Professional Educator Course
Patricia TOLMIE
Winona State University
U.S.A.

 abstract
The Integration Of the Scientific Calculator (CASIO fx-82ES) with Mathematics Education
Jiyan WANG
East China Normal University
China

 abstract
The Interactive Whiteboard in the Mathematics Classroom
Desmond Fearnley-Sander
University of Tasmania
Australia

 abstract
The Lesson of Cellular Automata
Kazumi YAMADA
Niigata University
Japan

 abstract
The Practice and Experience of Undergraduate Mathematical e-Learning Resource Construction
Zhifeng HAO
South China University of Technology
China

 abstract
The Process of Discovery in the Research of Black Boxes with Cabri
Jean-Jacques DAHAN
IREM of Toulouse and IAM of Grenoble
France

 abstract
Theory of Relative Motion
Tower CHEN
University of Guam
Guam
Zeon CHEN
U.S.A.

 abstract
Time Series Model and its Applications
Rongfang YAN & Juan ZHANG
Northwest Normal University
China

 abstract
Unified Software for Unified Mathematics Teaching
Vladimir NODELMAN
Institute of Technology
Israel

 abstract
Visualizing the Dynamics of Complex Functions with The Geometer's Sketchpad
Nicholas JACKIW
KCP Technologies, Inc.
U.S.A.

abstract
What We Learn From Teachers and Students - From Using Graphing Calculator to Developing mobil E ぴC Lab in Secondary School
Changpei WANG
Beijing Institute of Education
China

abstract
因才施教的數學教學法
Richard Chi-kwok HUI
Hong Kong Institute of Vocational Education
Hong Kong
(Delivered in Cantonese 廣東話)

 abstract
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
Posters
A Design of Computer Environment that Fosters Mathematical Thinking by Squeak
Aiko ICHIKAWA
Tokyo University of Science
Japan

 abstract
A Study on Effective Use of Computer As A Tool in Mathematics Classroom - Guidelines for Teachers to Design Lesson -
Hiroko MATSUGANO
TOkyo University of Science
Japan
 abstract
Developing Learning Materials Using Technology
Nam Hee KIM
Jeonju University
South Korea

 abstract
Mathematics Lessons Using MathBlackBoard
Akio SHINODA & Masahiro NAKAMURA
Kobe University
Japan		 abstract
Why is the Ring of Saturn an Ellipse? -Let's Explain the Mystery in the Planet by Using Mathematics-
Chieko FUKUDA1 & Kyoko KAKIHANA2
1Hakuoh University
2Tsukuba Gakuin University
Japan

 abstract
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
Tutorial
A Sketchpad Survey of Non-Euclidean Geometries
Nicholas Jackiw
KCP Technologies, Inc.
U.S.A.

 abstract
Autograph - a Dynamic Approach to Coordinate Geometry in 2D and 3D
Douglas Butler
Oundle School
United Kingdom

 abstract
Advancing Calculus Education with a Graphics Calculator
Barry KISSANE
Murdoch University
Australia

 abstract
Building CASTLE in Hong Kong Secondary Mathematics Classrooms with CASIO ClassPad 300+ [Tutorial]
Kwok-chun TANG
Hong Kong Baptist University
China
(Delivered in Cantonese 廣東話)

 abstract
Creating eActivity Applets on FX-9860G
Mun Chou FONG
QED Education Scientific
Malaysia

 abstract
Creating eActivity Using ClassPad Manager 3.0
Ravinder Kumar
Kanchan Manaktala
Alcorn State University
U.S.A.

 abstract
Data-Streaming: Demonstration of the Technique and Discussion of the Pedagogy
GT Springer
Hewlett-Packard
Robin McLeod
Saltire Software Inc
U.S.A.

 abstract
Dynamic Mathematics for Teaching and Learning Workshop [Tutorial]
Fai Leong WAI
Pooi To Middle School
Macau
(Delivered in Cantonese 廣東話)

 abstract
Introducing Voyage 200 for Mathematics Teaching and Learning
Hilary LAI
Diocesan Boys' School
Hong Kong

 abstract
Java Workshop
Kazuhiro Fukushima
IES
Japan

 abstract
Learn to View Algebra from Different Angles using Dynamic Geometry and CAS
Diane Whitfield & Hideshi Fukaya
Casio Education Technology M.R.D. Center
U.S.A.

 abstract
Making Sense of the Fundamental Theorem of Calculus
Anthony Harradine
Noel Baker Centre for School Mathematics
Australia

 abstract
Spreadsheets on a Graphics Calculator in Senior Secondary School
Barry Kissane
Murdoch University
Australia

 abstract
Technology in a Classroom and Empowering Mathematics Education via a Dedicated Farsi Website
Massoud RAJI
Iranshahr Institute
Iran

 abstract
The New Tools of Cabri 3D Version 2 : a New Window for a Mechanistic Approach of the Teaching of Calculus
Jean-Jacques Dahan, Colette Laborde & Jean-Marie Laborde
France

 abstract
To Experience Firsthand with SSP
Chuanbuo Zuo & Jingzhong Zhang
Guangzhou University
China

 abstract
Using CAS and Interactive Geometry (IG) to Develop Algebraic Skills
Anthony Harradine
Noel Baker Centre for School Mathematics
Australia

abstract
Using the ClassPad in Teaching Mathematics
Hideshi Fukaya & Diane Whitfield
Casio Education Technology M.R.D. Center
U.S.A.

 abstract
Using TI InterActive! to Teach Graph Problems and Explore Quadratic Graphs
Hilary Lai
Diocesan Boys' School
Hong Kong

 abstract
Using TI SmartView to Teach Parametrics
William STORK
Hong Kong International School
Hong Kong

 abstract
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
Errata/Addendum
Electronic Proceedings contains contributions that were presented in the Conference. There may be articles that appeared in the hardcopy version that are not available here. The grace period for correction runs till January 1, 2007. Please email to the Editor with the subject as 'EP2006'.
Reference: Chu, S.C., Hou, S.H. & Yang, W.C., Electronic Proceedings of the Eleventh Asian Technology Conference in Mathematics, December 2006, http://epatcm.any2any.net/EP/2006/index.shtml
Plenary Speeches 7| Contributed Papers 31| Tutorials 20| Abstracts 34| Invited Talks 7| Special Sessions 2 | Posters Sessions 5
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