The ICME 11 Topic Study Group « New Technologies in the Teaching and Learning of Mathematics » will serve a dual role:

• - overview of the current state of art in the topic and expositions of outstanding recent contributions to it, as seen from an international perspective
• - sharing of ongoing work and perspectives

Technology is understood here in a broad sense and encompasses in particular, computers of all types, calculator technology, the use of the Internet, and distance technology. The use of technology includes implementation for students of all ages, teacher education, and all mathematical topics. Thus, establishing coherence will be a major challenge of the TSG.

Research and innovative projects in learning with technological tools have indeed been showing much promise with respect to their use in the generation of learning environments where students have richer opportunities to construct mathematical meanings, to explore and experiment with mathematical ideas, and to express these ideas using a wealth of representations. However, actual use of these tools in schools is still very sparse despite the abundance of governmental funding and interest around the world. The use of technologies has simply not expanded and the changes promised by the case-study experiences have not really been noticed beyond the empirical evidence given by the studies themselves. The changes in classroom practices involved in the use of technology seem to pose a real challenge to administrators, curriculum designers, teachers and students. Thus, there is a great need for a deeper understanding of how the potential suggested by research in the 80s and the 90s can be grounded both in classroom practices with respect to systemic schooling, in other institutional environments such as the workplace, and in informal situations for children and adults. In recent years, the focus has also been on teaching methods and on ways of supporting teachers to use technological tools. The perturbation posed to traditional teaching has become an avenue for reflection and professional development for teachers rather than an implicit obstacle to implementing technologies in the classroom.

The issues addressed at this TSG will focus on three broad themes.

1) Integration of technology into school and other learning environments : This theme refers both to research studies and the innovative development of technology-based curricula or units. It includes the study of learning processes with technology and the impact of technology on the learning of mathematics. It also addresses the issue of assessing mathematics with and through technology. Connectivity and virtual networks for learning mathematics is also part of the topic.

2) Issues related to the use of technology by teachers: How do teachers cope with perturbations introduced by technology? How do they succeed in the ordinary types of usage? What are teachers’ conceptions of the use of technology? How do these conceptions evolve? How are they taken into account to promote changes in teacher practice? The topic also includes issues about mathematics teacher preparation and professional development in the use of technology.

3) Design of technology for the learning and teaching of mathematics: This theme refers to the design choices of technology environments related to epistemological and cognitive aspects of mathematics and of the learning of mathematics, as well as to the features aimed at assisting teaching.

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TSG 22 « New Technologies in the Teaching and Learning of Mathematics » invites the submission of contributions related to the topic of the group. In particular, any contribution addressing questions, problems and issues related to the presentation of the topics listed above can be submitted. The organizers of the Topic Study Group welcome proposals from both researchers and practitioners and encourage contributions from all countries with different economic contexts and cultural backgrounds. Reflecting the diversity of the contributions is a major concern of the group organizers.

The submitted contributions will be reviewed by the organizing team of the Topic Study Group. The accepted contributions will be published on the ICME website before the congress and presented in a poster session within the slots of the group. During this session, it is expected that the contributors will be available to discuss their work with the other group members. Presentations related to theme 3 may also include live demonstrations of new technologies. Contributors will also be invited to bring copies of accepted papers, including expanded versions, and CDs to be presented-by-distribution during this session.

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The first version of submissions can be a short proposal of 3 pages, clearly indicating the aims and the nature of the work, synthesizing its content and results. Authors of accepted submissions will send later a longer version for publication of 7 pages on the Web site of the congress, presenting the aims and the nature of the work, the underlying theoretical frameworks or assumptions, the ways it was carried out or the methods that were used, and provide the results and/or questions coming from the work.

Submissions could report on research work as well as teaching work in classrooms, or on the design of computer environments or of teaching units integrating technology. They also could address theoretical issues by reporting on advances made in the development of theoretical frameworks or approaches.

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Submissions in their short form (3pages) or in their final form (7 pages) should be sent by November 15, 2007 as an email attachment to both chairs of the Topic Study Group at the following addresses: Colette.Laborde@imag.fr and kynigos@ppp.uoa.gr

Information about acceptance of the submissions with recommendations for the final version will be available by the end of January. Final versions of accepted submissions should be sent by March 31, 2008.

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ICME 11 – TSG 22

Presentation and schedule

The issues addressed at this TSG will focus on three broad themes.

Theme 1: Integration of technology into school and other learning environments:
This theme refers both to research studies and the innovative development of technology-based curricula or units. It includes the study of learning processes with technology and the impact of technology on the learning of mathematics. It also addresses the issue of assessing mathematics with and through technology. Connectivity and virtual networks for learning mathematics is also part of the topic.

Theme 2: Issues related to the use of technology by teachers:
How do teachers cope with perturbations introduced by technology? How do they succeed in the ordinary types of usage? What are teachers’ conceptions of the use of technology? How do evolve these conceptions? How are they taken into account to promote changes in their practice? The topic includes also issues about mathematics teacher preparation and professional development in the use of technology.

Theme 3: Design of technology for the learning and teaching of mathematics:
This theme refers to the design choices of technology environments related to epistemological and cognitive aspects of mathematics and of the learning of mathematics, as well as to the features aimed at assisting teaching.

Monday July 7 – 13.00 -14.00
1st Session – 1h – Plenary Session

KYNIGOS Chronis, University of Athens, Greece, LABORDE Colette, University Joseph Fourier, France
Title: New technologies in the learning and teaching of mathematics: what’s new since last ICME?

CERULLI Michele, University of Genova, Italy,
HOYOS Veronica, National Pedagogical University, Mexico,
JAKUCYN Natalie Glenbrook South High School, Glenview, IL and The University of Chicago School Mathematics Project, Chicago, IL, USA,
LEUNG Allen, University of Hong Kong, Hong Kong SAR, China
Title: Critical Issues addressed by the sessions of the Topic Groups

Wednesday July 9 – 12.30-14.00
2nd Session – 1h30 – Oral Presentations

Group 1 – Theme 1- Integration of technology into school and other learning environments
Chair Allen
1. JAHN A. Paula, UNIBAN, Brazil, FLORES SALAZAR J. Victoria Pontifical Catholic University of Sao Paulo PUC-SP/Brazil
Title: A view of instrumental genesis using Cabri 3D

2. PSYCHARIS Giorgos and KYNIGOS Chronis, Educational Technology Lab, School of Philosophy, Univ. of Athens, Greece
Title: Exploring angle through geometrical constructions in a simulated 3D space

3. OR Anthony, LEUNG Allen Education Bureau, Government of the Hong Kong SAR, University of Hong Kong
Title : Develop a learning and teaching unit in the Cabri 3D environment about concepts of 3-D figures in Hong Kong Secondary Mathematics Curriculum

4. SOURY-LAVERGNE Sophie Laboratoire d’Informatique de Grenoble-LIG, University Joseph Fourier, France
Title: Deductive reasoning and instrumental genesis of the drag mode in dynamic geometry

Group 2 – Theme 1 – Integration of technology into school and other learning environments
1. LU Yu-Wen Allison, University of Cambridge, UK
Title : The use of mathematical software in secondary mathematics teaching– a new challenge for young teachers

2. BRODAHL Cornelia, University of Agder, Norway
Title : Challenges and choices in developing complete digital courses in secondary Mathematics education

3. KARADAG Zekeriya, Ontario Institute for Studies in Education, University of Toronto, Canada
Title : Improving online mathematical thinking

4. DANA PICARD Thierry , Jerusalem College of Technology, Israel
Title : Existence theorems vs Construction of a Solution: An example of a Theoretical- Computational Conflict

Group 3 Theme 2 – Issues related to the use of technology by teachers
1. AMADO Nelia, FCT, University of Algarve, Portugal
Title: Communities of practice and mentoring relationships in beginner teachers’ use of technology in the classroom

2. FAGGIANO Eleonora, University of Bari – Italy, FASANO Margherita, University of Basilicata – Italy
Title: Teachers’ perceptions and usage of ICT: an issue for educators to deal with.

3. GARCIA-CAMPOS Montserrat & ROJANO Teresa, CINVESTAV, Mexico
Title: Computer Algebra Systems: A teacher centered study on the cognitive, epistemological and didactic dimensions.

4. SINCLAIR Margaret, WIDEMANN Herbert, KALLISH Lindsay, FIORONI Marcella, York University, Canada
Title: Symbolic calculators in mathematics education for future engineers: linked hand-held technology in early secondary mathematics

Group 4 – Theme 3 – Design of technology for the learning and teaching of mathematics
1. CONFREY Jere, MALONEY Alan, NGUYEN Kenny, North Carolina State University, USA
Title : Graphs ‘n Glyphs as Professional Transitional Software to Assist Middle School Students in Rational Number Reasoning Topics

2. YEO SHU Mei, THONG CHEE Hing, & KHO TEK Hong, Ministry of Education, Singapore
Title : Algebra discs : digital manipulatives for learning algebra

3. CERVAL-PEÑA E., SANGWIN C J, HERMANS Dick, School of Mathematics, University of Birmingham, UK
Title : Developing automatic assessment of steps in students’ work

Group 5 Theme 3- Design of technology for the learning and teaching of mathematics
1. DICK Thomas, Oregon State University, Corvallis, USA
Title : Exploiting next generation handheld technology: TI-Nspire as “Microworld Maker”

2. LABORDE Jean-Marie, IAM-IMAG Grenoble, FRANCE
Title : 3D-environment, Dynamic Math: Design issues. The case of Cabri 3D

3. BORBA de Souza Rute E., LEITE Maici D. , GOMES Alex S., Universidade Federal de Pernambuco, Brazil
Title : Contributions from the Theory of Conceptual Fields: help and feedback messages in educational software for deaf students

4. ROWE Leanne, The Learning Federation, Australia, WAY Jenni, University of Sydney, Australia
Title : The Role of Scaffolding in the Design of Multimedia Learning Objects

Friday July 11 – 12.15 -13.15
3rd Session – 1 h- Poster and demo Session

Group 1 Theme 1 – Integration of technology into school and other learning environments
1. ACELEJADO Maxima J., Philippines
Title : Using Internet: A Teaching Strategy for Sketching Graphs of Equations

2. BUTTON Tom, LEE Stephen, MEI/The Further Mathematics Network, UK
Title : A comprehensive web-based learning environment for pre-university students: encouraging students to become independent learners and promoting good-practice for teachers

3. DE LAS PEÑAS Ma. Louise Antonette N., Ateneo de Manila University, Quezon City, Philippines
Title : On Maximizing Technology Resources and their Benefits In Teaching and Learning Mathematics

5. KORTENKAMP Ulrich, University of Education Schwäbisch Gmünd, Germany
Title : Math Unit Testing – A new approach to the use of technology in teaching

5. MAFFEI Laura , MARIOTTI M Alessandra, SABENA CristinaMathematics Department, University of Siena, Italy,TRGALOVA J., University Joseph Fourier, Grenoble
Title: Different feedbacks for different educational goals: how theoretical assumptions can drive the modes of use of the Aplusix CAS.

6. OZEL Serkan, Turkey , CAPRARO Robert M., USA, YETKINER Ebrar Z., Texas A&M University, Turkey
Title : A technology intervention using multiple representations on mathematics

7. RANA Inder K., I. I. T. Bombay, Powai Mumbai, India
Title : Teaching a Large Class in Technological Setting

8. REYES Araceli, Instituto Tecnólogico Autónomo de México, Mexico
Title: Teaching Advanced Calculus with APOS and Coursecompass

Group 2 Theme 2- Issues related to the use of technology by teachers
1. DUARTE José Antonio, Escola Superior de Educação de Setúbal, Portugal
Title: The ICT in Mathematics Education: From Teachers’ Traning to the classroom practice

2. MILLER Dave, AVERIS Doug Averis Keele University, Keele, Staffordshire, UK
Title : Secondary mathematics and the interactive whiteboard implications for professional development

3. MISKULIN Rosana G. Sguerra, IGCE/RIO CLARO/UNESP/Brazil, PENTEADO Miriam de Godoy,IGCE/Rio Claro/UNESP/Brazil, MARIANO da SILVA Carla Regina Mariano, IGCE/Rio Claro/UNESP/Brazil
Title: Distance Education as a formative scenary of he practice of the mathematics teacher

4. NAVARRO Guevara Douglas, Universidad Nacional de Costa Rica
Title: On Mahematics implications of the incorporation of computer tools

5. SCHREIBER Cristof J. W. Goethe Universität, Frankfurt; Germany
Title: Blended Learning in the Pre- and In-Service Training of Primary Teachers

Group 3 – Theme 3- Design of technology for the learning and teaching of mathematics
1. ANDRADE-ARECHIGA Maria, CICESE, México1, LOPEZ Gilberto Department of Computer Science, CICESE, México, LOPEZ-MORTEO Gabriel, Universidad Autónoma de Baja California, México
Title: Using technology to teach college-level mathematics

2. ARAYA CHACON Andrea, NAVARRO Guevara Douglas, Universidad Nacional de Costa Rica
Title: Three-dimensional objects handling

3. DIBUT TOLEDO Lázaro S., de LEON RODRIGUEZ Narciso R., Universidad de Cienfuegos, Cuba
Title: Mathdev: A resource for the Blended Learning in Mathematics

4. GUZNER Claudia, CIVICO Alejandra, D’AMELIO Adriana, LEON Oscar, POLENTA Cecilia, SCHILARDI Adriana, SEGURA Sandra, Universidad Tecnológica Nacional, Facultad Regional Mendoza y Universidad Nacional de Cuyo, Argentina
Title: Learning styles and environments web design: the case of the derivative

5. KOBAL Damjan, FMF, University of Ljubljana, Slovenia
Title: (E)-mind thinking in e-learning project

6. GOGUADZE George, Universitat des Saarlandes, Saarbrucken, Germany MELIS Erica , German Research Institute for Artificial Intelligence (DFKI)
Title : Feedback in ActiveMath Exercises

7. MONTESSINOS Benoit, KUNTZ Gérard, Sesamath, France
Title: Sesamath: a teachers society, to create and to spread mathematical resources through the Internet.

8. NODELMAN Vladimir, Holon Institute of Technology, Israel
Title: Requirements to the software for learning and teaching of mathematics

9. WANG P., MIKUSA M., AL SHOMRANI S., LAI X., ZOU X., ZELLER D., Kent State University, Kent, Ohio, USA
Title : An Overview of WME: a Web-based Mathematics Education System

Saturday July 12 – 12.00-13.30
4th session – 1h30 – Oral presentations

Group 1 Theme 1- Integration of technology into school and other learning environments
Chair Natalie
1. OWENS Douglas T, The Ohio State University, USA, PAPE Stephen, University of Florida, USA, IRVING Karen E., The Ohio State University, USA, SANALAN Vehbi A., The Ohio State University, USA, BOSCARDIN Christy Kim, Center for Research on Evaluation, Standards & Student Testing, University of California, Los Angeles, USA, ABRAHAMSON Louis, Better Education Foundation, USA
Title: The Connected Algebra Classroom: A Randomized Control Trial

2. PINEAU Kathleen, École de technologie supérieure, Canada CARON France, Université de Montréal, Canada
Title: Teaching Strategies and their effect on students’ performance

3. GEIGER Vince, FARAGHER Rhonda, The Australian Catholic University, Australia, GOOS Merrilyn, The University of Queensland, Australia, LOWE Jim, Redcliffe State High School, Australia
Title: CAS as a Provocative Agent in the Process of Mathematical Modelling

4. LAVICZA Zsolt, University of Cambridge, UK
Title : The use of Computer Algebra Systems in university-level mathematics teaching

Group 2 – Theme 1 – Integration of technology into school and other learning environments
1. MORENO ARMELLA Luis, Cinvestav, Mexico & James J. Kaput Center for Research and Innovation in Mathematics Education, UMass, Dartmouth, USA, TRIGO Manuel Santos, Departamento de Matemática Educativa, Cinvestav, México
Title : Mathematical Practices and new potential instructional trajectories in dynamical environments

2. GRAVINA Maria Alice, Mathematics Institute, RGS Federal University, Brazil
Title : Dynamical visual proof: what does it mean?

3. MANN Markus, University of Education Weingarten, Germany
Title : Video-based learner assistance in learning environments for geometry

4. WONG Ka Lok, University of Hong Kong, China, Hong Kong SAR
Title : Geometry in clicks and drags : an opportunity for integrating technology into classroom teaching and learning of geometry

Group 3 – Theme 3- Design of technology for the learning and teaching of mathematics
1. PRANK Rein, ISSAKOVA Marina, LEPP Dmitri, VAIKSAAR Vahur, TÖNISSON Eno, University of Tartu, Estonia
Title : T-algebra – Intelligent Environment for Expression Manipulation Exercises

2. TRGALOVA Jana, CHAACHOUA Hamid, University Joseph Fourier, France
Title : Development of Aplusix software

3. SILLER Hans Stefan, Universität Salzburg, Austria
Title : Prograph diagrams a new old system to teach functional modeling

Group 3- Theme 2- Issues related to the use of technology by teachers
4. JUAREZ Manuel and RAMIREZ José Luis, CENIDET – MÉXICO
Title : A Review of Teacher Learning in a Distance Course on Discrete Mathematics

Group 4 – Theme 1 – Integration of technology into school and other learning environments
1. PERSSON Per-Eskil, Malmö University, Sweden
Title: Hand held calculators as tools for algebra learning – A literature review

2. BURRIL Gail, Michigan State University, USA
Title: The role of handheld technology in teaching and learning secondary school mathematics

3. KARRER Monica, JAHN A. Paula, Universidade Bandeirante (UNIBAN) – Brazil –
Title: Studying plane linear transformations on a dynamic geometry environment : analysis of tasks emphasizing the graphic register

Group 4 – Theme 2 – Issues related to the use of technology by teachers
1. EVANS Brooke, The Metropolitan State College of Denver, USA , BEAN Hamilton, University of Colorado at Boulder, USA, ROMAGNANO Lew, LOAS Jim and MC KENNA Patricia, The Metropolitan State College of Denver, USA
Title: Community: Metro’s Mathematics for Rural Schools Program

Planing TSG22 final

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