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Electronic Proceedings of ATCM 1998
Editors: Wei-Chi Yang, Kiyoshi Shirayanagi, Sung-Chi Chu & Gary Fitz-Gerald
August 1998
Plenary Speech
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
Education meets Computer Algebra: A Double Challenge
Bernhard KUTZLER
University of Linz
Austria

abstract
Improving Student Understanding About Computational Processes, Problem Solving Techniques, and Proof Using Hand-Held Technology
Franklin DEMANA
The Ohio State University
United States

abstract
Page 1 of Full Paper
Technological Impact of Modern Abstract Mathematics
Tosiyasu L. KUNII
Hosei University and Monolith Co., Ltd.
Japan

abstract
Page 1 of Full Paper
     
     
     
     
Invited Talks
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
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
Hyperbolic Functions of Multiple Angles and Special Identities with Binomial Coefficients
Tilak de ALWIS
Southeastern Louisiana University
United States

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

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

abstract
Page 1 of Full Paper
Special Session
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
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
Contributed Paper
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]

A Front-end Tool for Mathematical Computation and Education in a Network Environment
T. SAKURAI
University of Tsukuba
Y. ZHAO
Nagasaki Institute of Applied Science
H. SUGIURA
Nagoya University
T. TORII
Nanzan University
Japan

 
A New Algorithm Producting Generalized Sturm Sequence for Polynomials with Symbolic Coefficients
Hongguang FU, Lu YANG & Zhenbing ZENG
The Chinese Academy of Sciences - Chengdu
China
abstract
Page 1 of Full Paper
A Note on Nearest Singular Polynomials
Lihong ZHI
Academia Sinica
Wenda WU
Beijing Municipal Computing Center
China
abstract
Page 1 of Full Paper
About the Polynomials in Two Variables: Demonstrating the Characteristics of Polynomials by Using a Model
Masahiro TAKIZAWA
Otawara High School
Japan
abstract
Page 1 of Full Paper

An Open Learning Mathematics Foundation Course with MATCAD
Andrew TOON
Open University Degree Programme
Singapore

abstract
Page 1 of Full Paper
An Innovative Modeling Course at the Freshman/Sophomore Level
Silvia HEUBACH
California State University Los Angeles
USA
abstract
Page 1 of Full Paper
An Undergraduate Technology-based Applied Mathematics Program at Universiti Sains Malaysia
Rosihan M. Ali & Ahmad Izani Md. Ismail
Universiti Sains MalaysiA
Malaysia
abstract
Page 1 of Full Paper
Algorithms of Generalized Inverses and Their Stabilization
Hiroyuki MINAKUCHI, Hiroshi KAI & Matu-Tarow NODA
Ehime University
Japan

abstract
Page 1 of Full Paper
Allowing the Uses of the Computer in a Mathematical Competition
Jen-chung CHUAN
National Tsing Hua University
Taiwan
abstract
Page 1 of Full Paper
Approximate Singular-value Decomposition of a Matrix with Polynomial Entries
T. KITAMOTO
University of Tsukuba
Japan

abstract
Page 1 of Full Paper

Building Dynamic Mathematical Models with Geometry Expert - I. Geometric Transformations, Functions and Plane Curves
Xiao-Shan GAO & Changcai ZHU
Academia Sinica - Beijing
Yong HUANG
Academia Sinica - Chengdu
China

abstract
Page 1 of Full Paper
Calculation System for the Dual Graph of Resolution of the Algebraic Curve Singularities using Risa/Asir
M. FUJIMOTO
Fukuoka University of Education
M. SUZUKI
Kyushu University
Japan
abstract
Page 1 of Full Paper

Computer Verification of the Diameter of the N-Dimensional Pancake Network
Marissa P. JUSTAN
Trinity College of Quezon City
Philippines

abstract
Page 1 of Full Paper
Developing the Curriculum for Curves Using History and Technology, Masami ISODA, University of Tsukuba, Japan abstract
Page 1 of Full Paper
Development of a BASIC Language Processing System in Accordance with ISO and its Aim
Kazuo SHIRAISHI
Bunkyo University
Japan
abstract
Page 1 of Full Paper
Development of a Genetic Algorithm Model: GAP
Nelson Wai CHAN
Hong Kong Polytechnic University
China
abstract
Page 1 of Full Paper
Eight Lines Arrangements on the Real Projective Plane and the Root System of Type E8
Tetsuo FUKUI & Jiro SEKIGUCHI
Mukogawa Women's University
Japan
abstract
Page 1 of Full Paper
GAP in Algebra Class
Hideki SAWADA
Yamagata University
Japan
abstract
Page 1 of Full Paper

Grasp Meanings with Interactive Java Animation on WWW
Shigeru TSUYUKI
International Education Software
Japan

abstract
Page 1 of Full Paper
High Order Programming Using Mathematica in Teaching Programming
Hiroshi OHTSUKA
Kyushu University
Japan
abstract
Page 1 of Full Paper
How Should the Coming Mathematics Education Get Connected with the Computers? - Starting by Solving Problems within Our Daily Life
Tomoko YANAGIMOTO
Osaka Kyoiku University
Japan
abstract
Page 1 of Full Paper

Impacts of Using Calculators in Learning Mathematics
Tingyao ZHENG
State University of New York College at Fredonia
USA

abstract
Page 1 of Full Paper
Improving Junior-High Geometry by Using Construction Software
Iwao IGUCHI & Katsuaki SUZUKI
Tohoku Gakuin University
Japan
abstract
Page 1 of Full Paper
Inferential Statistics and the Graphics Calculator
Barry KISSANE
Murdoch University
Australia
abstract
Page 1 of Full Paper
Internet Course Material Supporting Mathematics Programmes Offered at RMIT
G.F. FITZ-GERALD, W.P. HEALY & M. LUKIC
RMIT University
Australia
abstract
Page 1 of Full Paper
Introductory Programming and Word Problems
Jozef HVORECKY
University of Papua New Guinea
Papua New Guinea
abstract
Page 1 of Full Paper
Mathematical Notations in Web Pages
Chor Pee LIM
Ngee Ann Polytechnic
Singapore
abstract
Page 1 of Full Paper
Normal Lines Drawn to a Parabola and Geometric Constructions
Tilak de ALWIS
Southeastern Louisiana University
United States

abstract
Page 1 of Full Paper

On the Leverrier-Faddeev Algorithm
Shui-hung HOU
The Hong Kong Polytechnic University
China

abstract
Page 1 of Full Paper

On-Line Recognition of Handwriting Mathematical Expression via Network
Y. SAKAMOTO
Kyushu University
M. XIE, R. FUKUDA
Oita University
M. SUZUKI
Kyushu University
Japan



 

abstract
Page 1 of Full Paper
Optical Recognition of Printed Mathematical Documents
K. INOUE, R. MIYAZAKI & M. SUZUKI
Kyushu University
Japan
abstract
Page 1 of Full Paper
  Overview and Comment on the Use of Modern Technology in Shanghai School Mathematics
Xu-hui LI
East China Normal University
China
abstract
Page 1 of Full Paper
Polynomial Algorithms for Optimization Problems
Kei-ichi SHIRAISHI, Hiroshi KAI
Ehime University
Tomokatsu SAITO
Sophia University
Matu-Tarow NODA
Ehime University
Japan

abstract
Page 1 of Full Paper
Recursive Computations in Spreadsheets
Jozef HVORECKY
University of Papua New Guinea
Papua New Guinea
Ivan TRENCANSKY University of Economics Bratislava
Slovak Republic

abstract
Page 1 of Full Paper
Semantic Nets for Solving Word Problems
Pearla NESHER
The University of Haifa
Israel
abstract
Page 1 of Full Paper

Teaching Approaches Using Graphing Calculator in the Classroom for the Hearing-Impaired Student
Akira MORIMOTO
Tsukuba College of Technology for the Deaf
Yoshinori NAKAMURA
Miyagi School for the Deaf
Japan


 

abstract
Page 1 of Full Paper
Teaching Mathematics with Technology
Shin WATANABE
Tokai University
Japan
abstract
Page 1 of Full Paper
Technology, Projects, and Elementary Statistics
T.W. JUDSON
University of Portland
USA
abstract
Page 1 of Full Paper
Use of Maple in Determining Radial Eigenfunctions for the Bound-State Aharonov-Bohm Effect
W.P. HEALY & H. HUNG
RMIT University
Australia
abstract
Page 1 of Full Paper
Uses of Java Applets in Mathematics Education
Christopher P. MAWATA
University of Tennessee at Chattanooga
United States
abstract
Page 1 of Full Paper
Abstract
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
#

* Calculation system for the dual graph of resolution of the algebraic curve singularities using Risa/Asir , Mitsushi Fujimoto, & Masakazu Suzuki, Japan.
* Eight Lines Arrangements on the Real Projective Plane and the Root System of Type E8, Jiro Sekiguchi & Tetsuo Fukui, Japan.
* About the Polynomials in Two Variables Demonstrating the Characteristics of Polynomials by Using a Model , Masahiro Takizawa, Japan
* A Note on Nearest Singular Polynomials, Lihong ZHI, Japan, & Wenda WU, China.
* The effect on the motivation by Math-Lab Curriculum using Geometry Tool ( For the 9th graders geometry), Iwao IGUCHI, Japan .
* Testing Students with Hand-held Technology , Edward D. Laughbaum, USA.
* Allowing the Uses of the Computer in a Mathematical Competition , Jen-chung Chuan, Taiwan.
* Semantic Nets for Solving Word Problems , Pearla Nesher.
* Graphing Calculators and Parametric Equations, Brenda Lee, Taiwan
* Preparation of a BASIC Language System Which Acords with ISO Full BASIC and Its Aim , Kazuo Shiraishi, Japan.
* Teaching Math with Technology , Shin WATANABE, Japan.
* Mathematics Notations in Web Pages , Chor Pee LIM, Singapore
* Design of a WEB Based MATLAB Teaching Course -- Issues Involved and Lessons Learned , Dapeng Tien and Elsen Ong, Singapore.
* Solving the Theoretical problem in Linear Algebra with Matlab/Maple , Harini Mahmudi.
* A Multimedia Environment for Teaching Mathematical Modeling and Observing the Stages of Learning , Chang Kok Hau & P.M.Nobar, Singapore.
* Linear Algebra made easier: the HP 48G in Linear Algebra Units, Ute Mueller, Pender Pedler, Malcolm Anderson, & Lyn Bloom, Australia

* Solving Generalized Sturm Sequence by Subresultant Chain for Polynomials with Symbolic Cofficients , Hongguang Fu, Lu Yang & Zhenbing Zeng, China.
* An Implementation of Polynomial System Solving Algorithm , Dingkang WANG & Hidetsune Kobayashi, Japan.
* An Undergraduate Technology-based Applied Mathematics Program: THE B. APPL. SC. Program in Mathematics at UNIVERSITI SAINS MALAYSIA , Rosihan M. Ali & A. IZANI B.MD. ISMAIL, Malaysia
* Computer Verification of the Results on the Diameter of the N-Dimensional Pancake Networks , Marissa P. Justan, Philippines
* Development of the Electronic Textbook by the Hypertext for Promoting Student's Autonomous Learning , Shoichiro Machida, Japan
* Fundamental Theorem of Calculus , Nobuhiro Takahashi, Japan.
* Inferential statistics and the graphics calculator , Barry Kissane, Australia.
* Mathematical Visualization with Maple , Jen-chung Chuan, Taiwan
* Normal Lines Drawn to a Parabola and Geometric Constructions , Tilak de Alwis, USA.
* The Geometric Index of the Wheel, Wn , Rowena T. Baylon, Philippines
* The Reversed Times Tables , Tower CHEN, USA.

#

* Grasp Meanings with Interactive Java Animation on WWW Shigeru Tsuyuki, Japan.
* Uses of Java Applets in Mathematics Education, C. P. Mawata, USA
* Algorithms of Generalized Inverse and their Stabilization , Hiroyuki Minakuchi,Hiroshi Kai and Matu-Tarow Noda, Japan.
* Polynomial Algorithms for Optimization Problems , Kei-ichi Shiraishi, Hiroshi Kai, Tomokatsu Saito and Matu-Tarow Noda , Japan.
* Teaching Complex Variables Using MATHEMATICA , Dipendra C.Sengupta & Jharna D. Sengupta, USA.
* Design and development of a Web-based CAI program using Mathematica , Youngcook Y. Jun, KOREA.
* Internet course material supporting mathematics programmes offered at RMIT , G.F. Fitz-Gerald, W.P. Healy & M. Lukic, Australia.
* Use of Maple in Determining Radial Eigenfunctions for the Bound-State Aharonov-Bohm Effect , W. P. Healy and H. Hung, AUSTRALIA.

# 14:00-15:30: Paper Presentations

* Approximate Singularvalue Decomposition of a Matrix with Polynomial Entries , T. Kitamoto, JAPAN.
* On The Leverrier-Faddeev Algorithm , Shui-Hung Hou, HONG KONG.
* An Introduction Course in Elliptic Curve Cryptosystems , Kazuhisa TAKAGI & Kyouhei MURAYAMA, Japan.
* The effect on the motivation by Math-Lab Curriculum using Geometry Tool ( For the 9th graders geometry), Iwao IGUCHI, Japan.
* The Raffles Girls' School's Mathematical Innovative Technology Strategies , Guat Kheng, Singapore.
* The Impact of Technology on School Mathematics in Shanghai Area , Xuhui LI, China.
* A Front-end Tool for Mathematical Computation and Education in a Network Environment , Sakurai, Zhao, Sugiura, & Torii, Japan.
* Optical Recognition of Printed Mathematical Documents , R. Miyazaki, K. Inoue, M. Suzuki, Japan.
* On-line recognition of handwritten mathematical formulas via network , Y. Sakamoto, M. Sha, R. Fukuda, M. Suzuki, Japan
* Teaching Approaches using Graphing Calculator in the Classroom for Hearing-Impaired Student , Akira MORIMOTO & Yoshinori NAKAMURA, Japan.
* New Approaches Using Technology for Solving Problems in Secondary Mathematics , Arne Engebretsen, USA.
* Teaching the Concept of Approximation Based on Computer Activities in Upper Secondary School , Shin, Seung Ho, South Korea.

*
o Development of a Genetic Algorithm Model: GAP , Chan Wai, Nelson, Hong Kong
o GAP in Algebra Class , Hideki Sawada, Japan.
o Building Dynamic Mathematical Models with Geometry Expert I. Models for Functions and Plane Curves , X. S. Gao & Y. Huang, P.R. China
o Developing the Curriculum for Curves Using History and Technology, Masami ISODA Japan
o Recursive Computations in Spreadsheets, Jozef Hvoreck, Papua New Guinea, & Ivan Trencansk, Slovakia.
o Introductory Programming and Word Problems, Jozef Hvoreck, Papua New Guinea.
o Danish students and the TI-92 Graphic Calculator, Sten Asgaard Andersen, Denmark.
o Be more aware of the overall impact of using calculators in learning mathematics , Tingyao Zheng, USA.
* 14:00-15:30: Paper Presentations
o Building Bridges with Scientific Notebook: Enhancing the Teaching of Engineering Mathematics , Malcolm Anderson, Lyn Bloom, Ute Mueller, Pender Pedler, Australia.
o Harmonizing a computer algebra system with a regular mathematics course , Martyn Quigley, BRUNEI DARUSSALAM
o Learning Statistics with Spreadsheet, Jiro SUZUKI, Japan.
o Technology, Projects, and Elementary Statistics , T.W. Judson, USA.
o An Open Learning Mathematics Foundation Course Using MATHCAD , Andrew Toon, Singapore.
o Higher order programming using Mathematica in teaching programming , Hiroshi Ohtsuka, Japan.
o An Undergraduate Student Project on study of differential Equations from dynamical system point of view using MATHEMATICA, D.C. Sengupta & C. Ellis, USA.
o What Does the Coming Mathematics Education Seek out of the Use of the Computer , Tomoko Yanagimoto, Japan.
o A study of problem posing under the technology environment: Analysis of problem solving process using "Cabri-Geometry" , Tadayuki KISHIMOTO, Japan.
o Students' Ideas of Covariation in Realistic Problem Situations in an Introductory Algebra Program in Taiwan , Chih-Cheng Hung, Taiwan.


abstract
An Innovative Modeling Approach at the Freshman/Sophomore Level
Silvia Heubach
United States

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
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
Posters
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
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
Tutorial
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]


Educational Use and Influence of the Computer Algebra Systems, Yorikazu Takeuchi, Takahashi Tadashi, Kobe University, Hitoshi Ohnishi, Ministry of Education, Tadashi Takahashi, Kobe University, Japan
abstract

Introduction to CABRI GEOMETRE II for Windows , Bernhard KUTZLER, University of Linz, Austria
abstract
Making Mathematics Come Alive Using TI-92 Geometry, Arne Engebretsen, Greendale High School, USA (presented by Karen Cockburn)

abstract
MATHEMATICA for the Beginner (Full Paper in PDF), Tilak de Alwis, Southeastern Louisiana University, USA

abstract
Mathematical Modeling with Cfx-9850 and Casio Data Analyzer (CDA), Hideyo MAKISHITA, Komaba Secondary School attached to University of Tsukuba, Japan abstract
Mathematical Visualization with Maple , Jen-chung Chuan, National Tsing Hua University, Taiwan abstract
Mathematics Laboratory: An workshop on a series of intelligent educational softwares , Zhang Jingzhong, Li Chuanzhong, Liang Songxin, Guangzhou Normal University, China abstract
MathLink Programming in Mathematica , Hiroshi KIMURA, Kyushu Institute of Technology, Japan abstract
On Tools and Classrooms: New Approaches to Algrebra and Calculus Using Innovative Software (Full Paper in PDF), Michal Yerushalmy, University of Haifa, Israel abstract
Statistics Through MAPLE, Zaven Karian, Denison University, USA abstract
Solving Linear Equations with DERIVE , Bernhard Kutzler, University of Linz, Austria abstract
Teaching and Learning Junior Secondary Mathematics with a Graphics Calculator , Barry Kissane, Murdoch University, Australia abstract
Teaching and Learning Senior Mathematics with a Graphics Calculator , Barry Kissane, Murdoch University, Australia abstract
Teaching Mathematics with MAPLE, Zaven Karian, Denison University & Wei-Chi Yang, Radford University, USA abstract
Teaching with the HP38G Graphics Calculator , Malcolm Anderson, Lyn Bloom, Ute Mueller and Pender Pedler, Edith Cowan University, Australia abstract
Teaching with the HP48G Graphics Calculator , Malcolm Anderson, Lyn Bloom, Ute Mueller and Pender Pedler, Edith Cowan University, Australia abstract
Tutorial on Dynamic Geometry , Jen-chung Chuan, National Tsing Hua University, Taiwan abstract

Using the TI-92 in Algebra and Pre-calculus, Edward D. Laughbaum, The Ohio State University
USA

abstract

Using the TI-92 in calculus and precalculus
Frank Demana
The Ohio State University
USA

abstract
Errata/Addendum
[Plenary Speech] [Invited Paper] [Special Session] [Contributed Paper] [Abstract] [Posters] [Tutorial]
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.
Reference: Yang, W.C., Shirayanagi, K., Chu, S.C., & Fitz-Gerald, G., Electronic Proceedings of the Third Asian Technology Conference in Mathematics, August 24-28, http://epatcm.any2any.us/EP/EP1998/
Plenary Speeches 7| Contributed Papers 31| Tutorials 20| Abstracts 34| Invited Talks 7| Special Sessions 2 | Posters Sessions 5
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