TSG 15: The role and use of technology in the teaching and learning of mathematics

Team Chairs
Lulu Healy, Centre of Exact and Technlogical Sciences, Pontifical Catholic University of S“o Paulo
Address: Rua MarquÍs de Paranagu· 111, ConcolaÁ“o, S“o Paulo SP 01303-050, Brazil

Jim Kaput
Department of Mathematics, University of Massachusetts - Dartmouth
Address: 285 Old Westport Rd., No. Dartmouth, MA 02747-2300,

Team Members
Rosihan M. Ali, School of Mathematical Sciences, Malaysia University of Science, Malaysia

Andrej Blejec, National Institute of Biology, Slovenia

Luc Trouche, IREM, University of Montpellier II, C.C. 040, France

Aims and Focus

Call for Papers

Practical Information


Papers and Discussion Documents

Aims and Focus

We hope that the ICME 10 Topic Study Group The Role and Use of Technology in the Teaching and Learning of Mathematics will serve a dual role: as a forum in which mathematics educators may come together to discuss and to probe major issues associated with the integration of technology into scenarios associated with mathematics teaching and learning and as a place where we can share our ongoing work and perspectives.

With this in mind, our aim is to organise the Topic Group so that we can take advantage of the special event of ICME to do two things:

(1) To step back and think about the overarching big ideas and long term trends related to technology in mathematics education, with a focus on promising directions and foundational issues.

(2) To share participantsí ongoing work and perspectives in ways that inform the longer view of technology in education and vice-versa, to be informed by the longer view.

To serve these ambitious goals, we propose to organise the topic group around a set of three inter-related themes as well as to utilise web-presentations in advance of ICME 10. The themes proposed are:

(1) Mathematical Thinking, Technology and the Evolution of Mathematics - Clarifying the Reciprocal Relationships
This theme is suggested in order to bring together those interested in theoretical models of the ways in which technology shapes, and is shaped by, learners' mathematical activities and developing meanings. Additionally, it will provide the place to discuss the co-evolution of Mathematics and Technology and examine the new mathematics that particular technologies make possible, both from a historical perspective (looking back) and a with an eye to future developments (looking forward).

(2) Orchestration of Mathematics Teaching in the Presence of Technology - Understanding Structure in the Variation
The focus in this theme will be on pedagogic mediation of technology-integrated learning scenarios and how different instructional approaches and classroom organisations impact mathematical interactions in classrooms. Issues connected to the design and configuration of technology, tools and tasks for technology-rich learning scenarios ñ and in particular the principles that seem to be at work ñ will also be given space in this theme.

(3) What Are Key Factors in the Design of, and What Are Implications of such New Technologies As Classroom Networks, New Actions, New Representations, and New Devices?
This future-oriented theme intends reflection on the current and rapid future development of new classroom technologies (software, wireless networks, and new device-types) and their potential to yield new forms of teaching, learning and participation. For example, what new options are open when students and teacher can send mathematical objects fluently across diverse devices in a wirelessly connected classroom? How are assumptions about the learnability of topics challenged by new technology capacities?

Our objective in choosing this strongly thematic approach is to advance the field by providing a coherent, forward-looking view that helps people think ahead in productive ways. It is also the case that our Topic is extremely broad, including all age level students, all mathematical topics, and all kinds of technology, so establishing coherence is a major challenge. We hope that our work will also help lay the base for published products, including summary papers, books or monographs.

Call for Papers

We welcome contributions explicitly related to the three themes outlined above. Because of the limited amount of time allocated to the topic study groups and an expectation of several dozen papers, we have decided to host paper presentations in poster sessions (see programme). While no page limit is in force, we strongly prefer shorter papers ahead of longer ones, particularly for inclusion on the web site. All the accepted contributions will be made available on the Topic Group web-site prior to the Congress and all contributors invited to present their work in poster form during the second session, organized by theme. During this session, it is expected that the contributors will be available to discuss their work with the other group members,. The intention is hence to permit a form of oral presentation of all accepted work. Contributors will also be invited to bring copies of accepted papers, including expanded versions, and CDís to be presented-by-distribution during this session.

All proposals will be reviewed by members of the organising group. This review procedure will lead to three possible outcomes: (1) acceptance for poster presentation and distribution, (2) recommendation for revision, or (3) rejection.

Proposals will be accepted until February 15 and information about the acceptance of papers will be available by March 15. Note that earlier submissions allow for the possibility of revision.

Practical Information

Papers should be a MAXIMUM of 8 pages in length. They should be written clearly in English. Text should be 14 point TIMES with 16 point spacing and should fit into an outline of 16 cm x 25 cm. Papers should start with an abstract of up to 10 lines, single spaced and indented 1cm from the left text edge. Spacing between paragraphs should be 12 points. The title should be in 16 point bold capitals, followed by authors' names and institutions in 14 point italics, all centred in the text; name(s) of participating authors should be underlined.

Papers in .doc or .pdf format should be sent to both Topic Group chairs.


The topic study group has been allocated three one hour sessions and one ninety minute (final) session. We intend to set up a web-site so that web-based presentations of participants' work is available in the weeks prior to ICME 10. Our goal is that this Topic Group will lead to published products following the Congress.

Session 0: Web-based preliminary presentations by invitees and presenters in the weeks prior to ICME 10.

Session 1: Three summary plenary 20-minute theme-based presentations by invited speakers addressing one theme and referencing the accepted papers. These will be made Web-available in advance of ICME. Participants select a favorite theme and meet informally to discuss it after the session led by that themeís invited speaker.

Session 2: A dual poster session. One will be for paper-based posters including papers-for-distribution (where desired) organized according to the three themes and further grouped by student age-level. The other will consist of repeating 15 minute parallel live demonstrations of new technologies addressing the issues of Theme 3.

Session 3: An invited 15 minute reaction to the three plenary presentations followed by two parallel theme-based discussion sessions. These discussions, based on the first two themes, should yield plans for the session 4 report, which may include ideas for a publishable product.

Session 4: Each theme-group gives a 10 minute plenary presentation focused on promising directions and foundational issues reflecting their discussions during previous sessions. This will be followed by a 20 minute invited reaction identifying cross-cutting issues and summary. Then the entire TSG plans future activity - perhaps a book, monograph and/or synthesis papers, and perhaps a continuing web site.

Papers and Discussion Documents





Sergei Abramovich
Peter Brouwer

Hidden Curriculum as a Didactical Framework for Mathematics Teacher Education in a Technological Paradigm

Download file (108 KB)

Maxima J. Acelajado

The Impact if Using Technology on Studentsí Achievement, Attitude, and Anxiety in Mathematics

Download file (200 KB)

Rosihan M. Ali
Kor Liew Kee

Undergraduate Mathematics Enhanced with Graphing Technology

Download file (220 KB)

Abel Martín
Jordi Baldrich Álvarez

Statistics and the New Graphing Calculators

Download file (92 KB)

Mette Andresen

How Could Flexibility of Mathematical Conceptions Be Identified?   And Which Indicators Can Show Flexibility?

Download file (500 KB)

Luis Moreno Armella

Mathematical Thinking and Technology: Some Views on Their Co-Evolution

Download file (124 KB)

Marcelo Bairral
Leonardo Zanette

Learning and Teaching Geometry in Virtual Environments

Download file (60 KB)

Gail Burrill

Teaching and Learning Mathematics Using Handheld Graphing Technology

Download file (104 KB)

Sangsook Choi-Koh
Inchul Jung

Prospective Math Teachersí Thinking in Explorations Using a Hand-held Calculator

Download file (112 KB)

Alison Clark-Jeavons

Integrating the Use if ICT in the Mathematics Classroom: Developing Teachersí Practices

Download file (100 KB)

Tilak de Alwis

A Center of Gravity Approach to Conic Sections and Dynamic Geometry Software

Download file (1.2 MB)

Ziva Deutsch
Akiva Kadari
Thierry Dana-Picard

ìEzer-Reshetî — Distance Mentoring

Download file (132 KB)

David Driver

Problem Solving in a CAS Environment

Download file (364 KB)

Kamon Ekthaicharern

A Study of Undergraduate Mathematics Studentsí Achievement and Attitudes in Learning Linear Algebra by Using Graphing Calculators

Download file (120 KB)

Eleonora Faggiano
Luciano Faggiano

Math Cooperative Learning Networking Technologies

Download file (112 KB)

Patricia Forster

Teaching and Learning Statistics with Technology

Download file (168 KB)

Claudio Fuentealba
Ruth Galindo

Function Sequence Using Software Support

Download file (56 KB)

Victor Giraldo
Luiz Mariano Carvalho

Computational Descriptions and Conflicts Associated with Irrational Numbers

Download file (92 KB)

Derek Glover
Dave Miller
Doug Averis

Panacea or Prop: The Role of the Interactive Whiteboard in Improving Teaching Effectiveness

Download file (232 KB)

Luiz Carlos Guimarães
Rafael Barbastefano
Franck Bellemain
Elizabeth Belfort

Tools for Distance Teaching in Mathematics

Download file (184 KB)

Hulya Gur

Calculator Supported Hand-Outs for Teachers to Solve Real World Problems

Download file (56 KB)

Lenni Haapasalo
Djordje Kadijevich

Using Innovative Technology for Revitalizing Formal and Informal Mathematics: A Special View on the Interplay Between Procedural and Conceptual Knowledge

Download file (908 KB)

Alena Hospesová
Helena Binterová

Investigations in Excel-Aided Mathematical Learning

Download file (2.1 MB)

Rosalyn Hyde

A Snapshot of Practice: Views of Teachers on the Use and Impact of Technology in Secondary Mathematics Classrooms

Download file (104 KB)

J. Imai
Y. Okouchi
D. Watabe
H. Komatsugawa

Development and Case Studies of a WBT System for Remedial Mathematics

Download file (68 KB)

Fabrizio Iozzi
Guido Osimo

The Virtual Classroom in Blended Learning Mathematics Undergraduate Courses

Download file (148 KB)

Ho Kyoung Ko

The Role of the Graphing Calculator Through Characteristics of Verbal Interaction: A Case Study

Download file (196 KB)

Joong Kwoen Lee

A Case Study of Preservice Teachersí Learning Mathematics Under the Computer Technology Environments

Download file (96 KB)

Shuk-kwan Susan Leung

Using Asynchronous Internet-Based Technology: Case of Graduate Course in Mathematical Problem Solving

Download file (244 KB)

Bibi Lins (Abigail Fregni Lins)

Towards New Trends on the Role of Users of Technology: A Look at Some Research Fields

Download file (60 KB)

Malgorzata Makiewicz

Role of Photography in Developing Matheamtical Creativity in Students at Elementary and Practical Levels

Download file (72 KB)

Hideaki Miyashita

Method of e-Means/Infrastructure for Information Design Oriented Quality Training of Mathematics Teacher

Download file (648 KB)

Ambj–rn Naeve
Mikael Nilsson

ICT Enhanced Mathematics Education in the Framework of a Knowledge Manifold

Download file (1.5 MB)

Masahiro Nagai
Katsuya Shiraki
Hiroaki Koshikawa
Kanji Akahori

Mathematics Problem Solving Using a Web-Based Knowledge Map and Analysis of the Process

Download file (1.2 MB)

Mikael Nilsson
Ambj–rn Naeve

On Designing a Global Infrastructure for Content Sharing in Mathematics Education

Download file (520 KB)

Richard Noss
Ceclia Hoyles

The Technological Presence: Shaping and Shaped by Learners

Download file (72 KB)

Federica Olivero

Hiding and Showing Construction Elements in Cabri: A Focusing Process

Download file (52 KB)

Elzbieta Perzycka

Computer-Aided of Maturity to Learning the Mathematics in School Conditions

Download file (40 KB)

Jennifer Piggott

Developing a Framework for Mathematical Enrichment

Download file (48 KB)

Peter Ransom

Estimating Angle: Working with Real Data in the Classroom

Download file (712 KB)

Research Group of Integration of Mathematics Curriculum and Teaching Materials in High School with Information Technology (Jianyue Zhang)

Research and Practices of Integration of Mathematics Curriculum and Teaching Materials in High School with Information Technology

Download file (84 KB)

Cristina Sabena

The Transparency of Instruments as Index of Perceptive and Cultural Relation to Concepts

Download file (157 KB)

Heinz Schumann

New Methods from New Facilities in DGS: The Case of Algebraic Curves

Download file (184 KB)

Gabriel J. Stylianides
Andreas J. Stylianides

Reconsidering the Drag Test as Criterion of Validation for Solutions of Construction Problems in Dynamic Geometry Environments

Download file (132 KB)

David Thomas
Cynthia Thomas

Lessons Learned: Fostering a Pedagogic Frame of Reference for the Use of Mathematical Modeling Technologies

Download file (40 KB)

Jos Tolboom

Working with Completely Digital Materials in Secondary Mathematics Education

Download file (100 KB)

Jerry Uhl

Using Technology in Math Before Calculus

Download file (40 KB)

Marja-Leena Viljanen

Computer-Based Learning Environment for Secondary School Algebra

Download file (248 KB)

Jenni Way

Multimedia Learning Objects in Mathematics Education

Download file (404 KB)

Hans-Georg Weigand

Mathematics Teacher Education on the WEB (MaDIN) — An Internet-Supported Teaching and Learning System

Download file (320 KB)

Zhang Xiong

Mathematical Education as Social Structure

Download file (56 KB)

Zhang Xiong

Trend of Mathematical Education Reform in China

Download file (44 KB)

Bernhard Zgraggen

Interactive, Generic, Heuristic and Dynamic Step-by-Step Solutions to Mathematical Problems in the World Wide Web

Download file (200 KB)