Proceedings of the Twelfth Asian Technology Conference in Mathematics, December 16-20, 2007, Taipei, Taiwan

ISSN 1940-2279 (CD) ISSN 1940-4204 (Online)

Summary of the Contents

Cover Pages

From Editors

Editors, External Reviewers, IPC and LOC Members

List of All Invited Papers (10.8 MB)

Plenary Speakers (in alphabetical order)

Paul Abbott (Australia)

Deane Arganbright (Austria)

Thomas Banchoff (USA)

Douglas Butler (UK)

Masami Isoda (Japan)

Barry Kissane (Australia)

Colette Laborde (France)

Invited Speakers (in alphabetical order)

Keng Cheng Ang (Singapore)

Jozef Hvorecky (Slovakia)

Bernhard Kutzler ((Austria)

Mirak Majewski (United Arab Emirates)

Philip Todd (USA)

Inder Rana (India)

List of Abstracts, Papers and etc.

(1) List of All Abstracts: (a) track of 'Plenary or invited Speakers', (b) track of 'Presentations with Abstracts ONLY', (c) track of 'Full Papers', (d) track of 'Hands-on workshops', and (e) track of 'Poster Sessions'.

(2) Table of All Refereed Contributed Papers: (a) Mathematical Research and Technology (4.53MB), (b) Mathematics Education and Technology (5.67 MB), and (c) Applications of Calculators and Mathematics (1.92 MB).

(3) Exhibitors: Autograph, CASIO, Cabrilog, Creative Wizard, Miro-Nits, Scientific Formosa, Inc., and Texas Instruments.

(4) A brief history of ATCM in Chinese was written by J.C. Chuan and M-G Lee. The English version was translated by Zhonghong JIANG.

(5) Official Hotel for ATCM 2007- Sunworld Dynasty-Taipei

(6) ATCM 2007 Photos.

Conference Theme

"Making Mathematics Fun, Accessible and Challenging through Technology"

The ATCM 2007 is an international conference that continues addressing technology-based issues in all Mathematical Sciences. Thanks to advanced technological tools such as computer algebra systems (CAS), interactive and dynamic geometry, and hand-held devices, the effectiveness of our teaching and learning, and the horizon of our research in mathematics and its applications continue to grow rapidly. The aim of this conference is to provide a forum for educators, researchers, teachers and experts in exchanging information regarding enhancing technology to enrich mathematics learning, teaching and research at all levels. English is the official language of the conference. <

Topics of Interest

The conference covers a broad range of topics on the application and use of technology in Mathematics research and teaching. These include, but are not limited to:

Mathematics Education using Information Communication Technology
Internet Technology for Mathematics
Applications using Dynamic Geometry software
Applications using CAS
Applications using Graphics Calculators
Statistics using Dynamic Statistics software
Applications by integrating Dynamic Geometry with CAS
Assessment of Implementation of Technology in Education
Implementation of Technology from K-12 to University Level
Development of the Computer Integrated Curriculum in Mathematics
Mathematics Teaching, Learning and Assessment using Technology
Mathematics Research using Technology

Highlights of the ATCM series

Selected refereed papers are invited for consideration of publication at The Electronic Journal of Mathematics and Technology

The Program of the Twelfth Asian Technology Conference in Mathematics

December 16, 2007 (Sunday)

	13:30-17:15	Registration at the Hotel and Exhibition booths set up at National Taiwan Science Education Center (NTSEC)-Conference site

	18:30-21:00	Welcome Reception at the Hotel. (Drinks and snacks will be served)

December 17, 2007 (Monday)

	8:30-9:00	Registration at conference venue (NTSEC)
	9:00-10:00	Opening ceremony

	10:00:10:30	Tea Break

	10:30-11:20	Plenary Speech 1 (Chair: J.C. Chuan) Experiencing the multiple dimensions of mathematics with dynamic 3D geometry environments: Colette Laborde (France)

	11:30-12:30	Parallel Session I: Presentations and Hands-on Workshops (Each contributed paper presentation slot is 20 minutes, unless otherwise specified, with 2 minutes for changeover)
		Room 1: Chair: Jean-Marie Laborde
		11:30-11:50	12724 Two explorations with Cabri 3D leading to two theorems, Jean-Jacques Dahan
		11:50-12:10	12726 The process of discovery of a theorem with Cabri 3D, Jean-Jacques Dahan
		12:10-12:30	12789 Engaging grade 7 and 8 students in using Cabri 3D: approaches to instrumental genesis Kate Mackrell

		Room 2: Chair: Yuan Yuan
		11:30-11:50	12768 An Online Study of Math Learning from Meta-Cognition Point of View, Fu-Shiang P. Tsen
		11:50-12:10	12767 Designing Web-based Cognitive Tools to Enhance Teaching and Learning of Mathematical Problem Solving, Luis Tirtasanjaya Lioe, Yanping Fang, Kai Fai Ho
		12:10-12:30	12894 A Study of Interactive Mathematical Environments for Teacher with Trigger-based Animation Ming Jang Chen, Ning-chun Tan

		Room 3: Chair: Mirek MAJEWSKI
		11:30-12:20 (50 minutes)	12982 Locii Associated with Tangents and Normals of Conic Sections Tilak de Alwis

		Room 4: Chair: Yeo Kai Kow Joseph
		11:30-11:50	12847 EFFECTS OF INTEGRATING THE USE OF GRAPHIC CALCULATORS ON PERFORMANCE IN TEACHING AND LEARNING OF MATHEMATICS FROM THE COGNITIVE LOAD PERSPECTIVE Nor'ain Mohd. Tajudin, Rohani Ahmad Tarmizi, Wan Zah Wan Ali, et al.
		11:50-12:10	12854 The Effectiveness of The Contextual Approach To The Teaching And Learning Statistics In The Universiti Tun Hussein Onn Malaysia (UTHM) nafisah kamariah md kamaruddin, Mohd Rashid Wan Ahmad
		12:10-12:30	12911 Visual Linear Algebra: Meaning and Realization,Vladimir Nodelman.

	11:30-12:30	Hands-on Workshops(GC stands for calculator workshops; CW stands for computer workshops)
		(CW1) 12748 Planning and creating an e-Activity on Poisson Process with ClassPad Wei Ching Quek

	12:30-13:30	Lunch Break: Lunch boxes are provided for registered participants.

	13:30-14:20	Plenary Speech 2 (Chair: Wei-Chi Yang) The Internet and Critical Points in Calculus, Geometry, and Topology Thomas Banchoff (USA)

	14:30-15:30	Parallel Session II: Presentations and Hands-on Workshops (Each contributed paper presentation slot is 20 minutes, unless otherwise specified, with 2 minutes for changeover)
		Room 1: Chair: Tilak de Alwis
		14:30-14:50	12728 Development of the Web Resources for Interactive Lessons in Geometry Maryam Behnoodi, Jun Moriyama.
		14:50-15:10	12393 Using Videotaped Components of Lesson Study to Build Communities of Practice for Prospective Mathematics Teachers Jack Carter, Beverly Ferrucci
		15:10-15:30	15000 The effect of Cyber Home School on Korean Student's Mathematics Achievement Young-Wha Choi, Hee-chan Lew, Min-Shik Cho

		Room 2: Chair: Jozef Hvorecky
		14:30-15:20 (50 minutes)	12952 Converting 'More to Less' and 'Less to More': Designing Self-Determined Learning Environments within Minimalist Instruction Lenni Haapasalo

		Room 3: Chair: Jean-Jacques Dahan
		14:30-14:50	12731 Visualization of Gauss-Bonnet Theorem (with Cabri 3D)-Yoichi Maeda
		14:50-15:10	12755 Generalizing 2D Geometric Properties to 3D with the Aid of DGS Dohyeon Kim, Seunguk Jang, Hyobin Lee, et al.
		15:10-15:30	12745 Enhancing Conceptual Understanding in Calculus Using Casio Class Pad 300 Jonaki Ghosh

		Room 4: Chair: Jerome Epstein
		14:30-14:50	12912 Beyond the Web-Based Cognitive and Interactive Metacognition Interface within Teaching Similar Triangles Hsiu Ju Chang
		14:50-15:10	12758 Cognitive Requirement and Management of Cognitive Object-Oriented Teaching Model Hsiu Ju Chang
		15:10-15:30	12977 Making Mathematics Simple, Attractive, and Personal Brenda Lee

	14:30-15:30	Hands-on Workshops (GC stands for calculator workshops; CW stands for computer workshops)
		Room 5 (GC) 12820 Learning about derivatives using a graphics calculator (CASIO 9860) Barry Kissane
	15:30-15:50	Tea Break

	15:50-16:50	Parallel Session III (Each contributed paper presentation slot is 20 minutes, unless otherwise specified, with 2 minutes for changeover)
		Room 4: Chair: Wei Ching Quek
		15:50-16:10	12917 A LaTeX plotting software KETpic and its development, Masayoshi SEKIGUCHI, Yuuki Tadokoro, Takayuki Abe, et al.
		16:10-16:30	12915 Graphical Differentiation with ClassPad300Plus, Mutlu Akar, Mustafa Bayram, Hasan Unal
		16:30-16:50	12925 Exploring Ellipses by Shuttling Between the 2D & 3D Worlds -Integrated Learning Function and Geometry to Foster Function Sense- Chieko Fukuda, Kyoko Kakihana

	15:50-17:20	Hands-on Workshops (GC stands for calculator workshops; CW stands for computer workshops)
		(CW 2)	12725 Analytic geometry with Cabri 3D Jean-Jacques Dahan
		Room 1(GC)	12735 Introduction to Teaching with TI-Nspire CAS Bernhard Kutzler
		Room 2(GC)	12940 Transformations via Cabri Jr and Transformation Graphing Applications Judy O'Neal
		Room 3(GC)	12932 It is not just about the proof (ClassPad Manager). Anthony Harradine

	09:00-17:00	Exhibitions

December 18, 2007 (Tuesday)

	8:30-9:00	Registration at Conference Secretariat
	9:00-9:50	Plenary Speech 3: (Chair: Anthony Harradine) 13831 Exploring the Place of Hand-Held Technology in Secondary Mathematics Education Barry Kissane (Australia)

	10:00:10:30	Tea Break

	10:30-11:20	3 Invited Speeches
		Room 1: (Chair: Jozef Hvorecky) 13005 Modelling with real data and technology Keng Cheng Ang Room 2: (Chair: Philip Todd) 13018 MuPAD for the Classroom - A Discussion on Using Computer Algebra Systems in Teaching Mathematics Miroslaw Majewski Room 3: (Chair: Bernhard Kutzler) 13426 Technology and Teaching Mathematics, an Indian perspective Inder Kumar Rana

	11:30-12:30	Parallel Session IV: Presentations and Hands-on Workshops (Each contributed paper presentation slot is 20 minutes, unless otherwise specified, with 2 minutes for changeover)
		Room 1: Chair: Jack Carter
		11:30-11:50	12729 Transfer of spatial visualization: Training with discrete, composite transformations in USA, Taiwan and Turkey Helen Gerretson, Glenn Smith, Yuan Yuan, et al.
		11:50-12:10	12736 A Study of School Teachers’ Applications of Using Magic Board : a Web-based Virtual Manipulatives Yuan Yuan
		12:10-12:30	12907 Integrating Calculators into the Singapore’s Primary Mathematics Curriculum Yeo Kai Kow Joseph

		Room 2: Chair: Premjit Singh
		11:30-11:50	12727 Helping teachers to Develop Self Learning Package using MicroSoft Office Che-yin Suen, Boon Cheok Toh
		11:50-12:10	12746 A Mathematical Lesson on the Applications of Differentiation Principles Hong Eng Ding, Wooi Ping Hew, Mohd Hazhar bin Jamal
		12:10-12:30	12994 Exploring Ethnomathematics with the Geometer Sketchpad (GSP): Thai Students?Weaving Projects Krongthong Khairiree

		Room 3: Chair: Andrew Toon
		11:30-12:20 (50 minutes)	13902 Google Earth and Spherical Geometry, Hualun Li.

		Room 4: Chair: Jonaki Ghosh
		11:30-11:50	13127 Development and Implementation of the Online Mathematics Course. Bakhodirzhon Siddikov
		11:50-12:10	13530 Using Technology to Enhance Student Learning in Mathematics Amy Leh, Lee Grafton
		12:10-12:30	12870 How learning and teaching of Mathematics can be made interesting: a case study Sarwar J. Abbasi, Kahkashan Iqbal

	11:30-12:30	Hands-on Workshops (GC stands for calculator workshops; CW stands for computer workshops)
		Room 5: Hands-on workshop
		11:30-12:30	12909 Problems that can not be solved without a graphing calculator in high school and upper level Fatih YILDIZ, Ahmet Arduc

	12:30-13:30	Lunch Break: Lunch boxes are provided for registered participants.

	13:30-14:20	Plenary Speech 4 (Chair: Barry Kissane) 13828 How to motivate teachers to want to use technology, Douglas Butler (UK)

	14:30-15:30	Parallel Session V: Presentations and Hands-on Workshops (Each contributed paper presentation slot is 20 minutes, unless otherwise specified, with 2 minutes for changeover)
		Room 1: Chair: Bakhodirzhon Siddikov
		14:30-14:50	12759 Visualization of Mathematics Against Misconceptions in Computer Graphics Course Vladimir Nodelman
		14:50-15:10	12760 A Graphical Explanation of Fundamental Vector Operations for Engineering Students Hitoshi Nishizawa, Takayoshi Yoshioka
		15:10-15:30	12769 Student-Centered Assessments in Mathematics Premjit Singh

		Room 2: Chair: Maryam Behnoodi
		14:30-14:50	12898 Mathematics Problems and Real Life Scenarios Andrew Toon
		14:50-15:10	12961 Application of network simplex method to currency arbitrage detection Wan Mei, Amanda Soon
		15:10-15:30	12899 Developing Mathematical Thinking and Problem Solving Skills through Card Tricks Poh Yew Teoh

		Room 3: Mandarin Presentations-Chair: Hsiu Ju Chang
		14:30-14:50	12896 以知覺理論為基礎的數學數位教材設計原則 Po-chi Su, Ming Jang Chen
		14:50-15:10	12904 數學數位教材設計之視覺原則 ChinFu Lee
		15:10-15:30	12931 Examples of Designing High School Mathematics Teaching Elements through the Use of Adaptive Software EXCEL Cheng-Feng Li

	14:30-15:30	Hands-on Workshops (GC stands for calculator workshops; CW stands for computer workshops) AND Poster Session
		Room 4 (GC)	(Mandarin Presentation) 12974 Using Calculator to Find Your Own Algebraic DNA (TI Technology) Brenda Lee
		Room 5 (GC)	12826 Beyond graphing: Exploring matrices, sequences and series with a graphics calculator Barry Kissane

	15:30-15:50	Tea Break

	15:50-16:40	Poster Session

	15:50-17:20	Hands-on Workshops (GC stands for calculator workshops; CW stands for computer workshops) AND Poster Session
		CW3	12771 Motivating teachers and students to love statistics, using Autograph Douglas Butler
		CW4	12790 Motion and “Magic” with Cabri 3D Kate Mackrell
		Room 1(GC)	12933 Children doing mathematics like mathematicians? (ClassPad 300) Anthony Harradine
		Room 2(GC)	13013 Scientific Calculators in the Primary School Yee Ping Soon
		Room 3	12860 Learning Algebra the Creative and Magical Way Poh Yew Teoh

	15:50-16:50	Parallel Session VI (Each contributed paper presentation slot is 20 minutes, unless otherwise specified, with 2 minutes for changeover)
		Room 4: Chair: Ma. Louise Antonette De Las Penas
		15:50-16:10	12910 Graphic Tool for Communication with Visually impaired Persons, Ryoji Fukuda, Tetsuya Ohashi
		16:10-16:30	12901 Using MS Word and Field Codes for Teaching Calculus for the Blind Felino Pascual
		16:30-16:50	13994 Comparison Between Computer Supported Collaborative Learning and The Traditional Means in Learning Probability Concepts Carmelita Ragasa

	09:00-17:00	Exhibitions
	18:30-21:00	Conference Dinner

December 19, 2007 (Wednesday)
	09:00-10:30	Special Session: Connecting Dynamic Geometry and Computer Algebra System Panelists: Tom Banchoff, USA J.C. Chuan, Taiwan Jean-Marie Laborde France Phillip Todd, USA Wei-Chi Yang, USA

	10:30-11:20	Tea Break *and Exhibitors Appreciation Time*

	11:30-12:20	3 Invited Speeches
		Room 1: (Chair: Mirak Majewski) 13038 From String Art to Caustic Curves: Envelopes in Symbolic Geometry Philip Todd Room 2: (Chair: Inder Rana) 13207 New Views at Teaching and Learning with CAS Bernhard Kutzler Room 3: (Chair: Lenni Haapasalo) 13115 Managerial Issues of Teaching Mathematics Jozef Hvorecky

	12:30-13:30	Lunch Break: Lunch boxes will be provided to registered participants

	13:30-14:20	Plenary Speech 5 (Chair: J.C. Chuan) 13025 Spreadsheets in Mathematics: Accessibility, Creativity, and Fun Deane Arganbright (USA)

	14:30-15:30	Parallel Session VII: Presentations and Hands-on Workshops (Each contributed paper presentation slot is 20 minutes, unless otherwise specified, with 2 minutes for changeover)
		Room 1: Chair: Ng Wee Leng
		14:30-14:50	12807 TI-Nspire CAS - A New Generation Math Teaching and Learning Tool Bernhard Kutzler
		14:50-15:10	12913 Calculators in the Mathematics Classroom: A Longitudinal Study Michael O. J. Thomas, Ye Yoon Hong, Jennifer Bosley, et al.
		15:10-15:30	12887 The Effect of the Use of a Computer Algebra System on Junior College Students' Achievement in Mathematics Wee Leng Ng.

		Room 2: Chair: Fong Mun Chou
		14:30-14:50	12938 On Proof Techniques and Technology Ma. Louise Antonette De Las Penas, Debbie Bautista
		14:50-15:10	12969 Transforming a Mathematical Data into a Visual Form Through the Use of Graphic Calculators Fatih YILDIZ, Nuray GOKDAL
		15:10-15:30	12312 The Integrated Lab Program -- Guided Discovery Learning Jerome Epstein
		Room 3: Mandarin Presentations-Chair: Fu-Shiang P. Tsen
		14:30-14:50	12914 A Study of Using Mathematic Software, DERIVE, to Teach Inequality in a Vocational School, Yu-Ling Chen
		14:50-15:10	12906 A Study of Using Mathematics Software, DERIVE, to Teach Polynomials in High School, Tsai-Hung Lee
		15:10-15:30	12958 在電腦套裝軟環境下經營數學探究之研究 Cheng-Hua Tsai

	14:30-15:30	Hands-on Workshops GC stands for calculator workshops; CW stands for computer workshops
		Room 4 (GC)	12946 Probability and Statistics using the TI-84 Connie Schrock
		Room 5 (GC)	(Mandarin Presentation) 12973 Using a Spreadsheet Tool to Understand Mathematical Functions (ClassPad 300) Brenda Lee

	15:30-15:50	Tea Break

	15:50-17:20	Hands-on Workshops GC stands for calculator workshops; CW stands for computer workshops
		CW 5	12772 Exploring Differential Equations and Vectors (2D/3D), using Autograph Douglas Butler
		CW 6	13008 e-Activities at Work (Casio fx-9860G/SD/Slim) Poh Tze Thiam Paul
		Room 1 (GC)	12888 Enhancing Mathematics Teaching Through New Technology Wee Leng Ng
		Room 2 (GC)	12918 Graphic Calculator Activities for Malaysia Additional Mathematics (CASIO 9860) Mun Chou Fong

	15:50-16:50	Parallel Session VIII (Each contributed paper presentation slot is 20 minutes, unless otherwise specified, with 2 minutes for changeover)
		Room 3: Chair: Yoichi Maeda
		15:50-16:10	12916 The arbelos, mathematics and computer graphics Hiroshi Okumura, Masayuki Watanabe
		16:10-16:30	13811 Exploring Steiner's Porism with Cabri Geometry Chien-Hsun Lu
		16:30-16:50	12680 Using Computer Multimedia to Dissolve Cognitive Conflicts of Mathematical Proof Chun-Yi Lee, Ming-Puu Chen

	09:00-17:00	Exhibitions
	18:30-21:00	IPC Meeting

December 20, 2007 (Thursday)

	9:00-9:50	Plenary Speech 6 (Chair: Philip Todd) 13259 Making Mathematics Fun, Accessible, and Challenging using Mathematica 6 Paul Abbott (Australia)

	10:00-10:20	Tea Break

	10:30-11:20	Plenary Speech 7 (Chair: Tilak de Alwis) Both Computer and Traditional Technology Are Inevitable for Mathematics Teaching: Revisiting why we use technology, Masami Isoda (Japan)

	11:30-12:00	Closing Ceremony

TCEB - Thailand Convention and Exhibition Bureau

Mathematics with Maple^TM
A Comprehensive E-Book

MATHEMATICS STUDIES THROUGH TECHNOLOGY

Mathematical Modelling for Teachers