Skip to main content

The Future of Teaching and Learning Mathematics with Digital Technologies

  • Chapter
  • First Online:

Part of the book series: New ICMI Study Series ((NISS,volume 13))

Abstract

In this text, directly inspired by my closing lecture at the ICMI Study Conference in Hanoi, I use first my personal experience for analyzing the evolution of relationship with digital technologies in mathematics education along the last two decades, and for situating the reflection about the future into an historical dynamics. Then, I focus on some dimensions that I consider crucial for thinking the future of teaching and learning with digital technologies: the theoretical, teacher, curricular, design, equity and access dimensions. These have been extensively addressed during the ICMI Study Conference and I use the perception I have of its outcomes for thinking about the challenges we have to face, and about what we can do in order to make digital technologies better serve the cause of mathematics education.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Notes

  1. 1.

    This interview can be downloaded on the historical website of ICMI: http://www.icmihistory.unito.it.

  2. 2.

    All documents related to these projects are accessible on the associated websites: http://telma.noe-kaleidoscope.org and www.remath.cti.gr.

References

  • Artigue, M. (1981). DEUG SSM Première année. Section E – Un an de fonctionnement. Brochure no. 29. IREM Paris 7.

    Google Scholar 

  • Artigue, M. (1989). Une recherche d’ingénierie sur l’enseignement des équations différentielles en DEUG première année. Actes du Séminaire de Didactique des Mathématiques et de l’Informatique. Grenoble: IMAG.

    Google Scholar 

  • Artigue, M. (1992). Functions from an algebraic and graphic point of view: cognitive difficulties and teaching practices. In E. Dubinski & G. Harel (Eds.), The Concept of Function – Aspects of Epistemology and Pedagogy (pp. 109–132). MAA Notes No. 25. Washington, DC: The Mathematical Association of America.

    Google Scholar 

  • Artigue, M. (1997). Le logiciel DERIVE comme révélateur de phénomènes didactiques liés à l’utilisation d’environnements informatiques pour l’apprentissage. Educational Studies in Mathematics, 33, 133–169.

    Article  Google Scholar 

  • Artigue, M. (1998). Teacher training as a key issue for the integration of computer technologies, In D. Tinsley & D.C. Johnson (Eds.), Information and Communication Technologies in School Mathematics (pp. 121–130). London: Chapman & Hall.

    Google Scholar 

  • Artigue, M. (2002). Learning mathematics in a CAS environment: the genesis of a reflection about instrumentation and the dialectics between technical and conceptual work. International Journal of Computers for Mathematics Learning, 7, 245–274.

    Article  Google Scholar 

  • Artigue, M. (Ed.) (2006). Integrative Theoretical Framework. ReMath Deliverable D1. Available at http://www.remath.cti.gr.

    Google Scholar 

  • Artigue, M. (Ed.) (2007). Comparison of Theories in Technology Enhanced Learning in Mathematics. TELMA Deliverable 20-4-2. Kaleidoscope Network of Excellence. Available at http://telma.noe-kaleidoscope.org.

    Google Scholar 

  • Artigue, M., & Groupe TICE IREM Paris 7 (2008). L’utilisation de ressources en ligne pour l’enseignement des mathématiques au lycée: du suivi d’une expérimentation régionale à un objet de recherche. In N. Bednarz & C. Mary. (Eds.), Actes du Colloque EMF 2006, L’enseignement des mathématiques face aux défis de l’école et des communautés, Thème 5 (pp. 1–11). Sherbrooke, QC: Université de Sherbrooke.

    Google Scholar 

  • Artigue, M., Belloc, J., & Touaty, S. (1989). Une recherche menée dans le cadre du projet EUCLIDE. Brochure n. IREM Paris 7.

    Google Scholar 

  • Assude, T., & Gelis, J.-M. (2002). La dialectique ancien-nouveau dans l’intégration de Cabri à l’école primaire. Educational Studies in Mathematics, 50, 259–287.

    Article  Google Scholar 

  • Chevallard, Y. (1992). Concepts fondamentaux de la didactique: perspectives apportées par une approche anthropologique. Recherches en Didactique des Mathématiques, 12(1), 77–111.

    Google Scholar 

  • Cornu, B., & Ralston, A. (Eds.) (1992). The Influence of Computers and Informatics on Mathematics and its Teaching. Science and Technology Education. Document Series 44. Paris: UNESCO.

    Google Scholar 

  • Dubinsky, E. (1991). Reflective abstraction in advanced mathematical thinking, In D. Tall (Ed.), Advanced mathematical thinking (pp. 95–126). Dordrecht: Kluwer.

    Google Scholar 

  • Duval, R. (1995). Semiosis et Noesis. Berne: Peter Lang.

    Google Scholar 

  • Guin, D., Ruthven, K., & Trouche, K. (Eds.) (2004). The didactic challenge of symbolic calculators. Dordrecht: Kluwer.

    Google Scholar 

  • Haspekian, M., & Artigue, M. (2007). L’intégration d’artefacts informatiques professionnels à l’enseignement dans une perspective instrumentale: le cas des tableurs. In M. Baron, D. Guin, L. Trouche (Eds.), Environnements informatisés et ressources numériques pour l’apprentissage (pp. 37–63). Paris: Editions Hermès.

    Google Scholar 

  • Laborde, C. (2001). Integration of technology in the design of geometry tasks with Cabri-geometry. International Journal of Computers for Mathematical Learning, 6(3), 283–317.

    Article  Google Scholar 

  • Monaghan, J. (2004). Teachers’ activities in technology-based mathematics Lessons. International Journal of Computers for Mathematical Learning, 9(3), 327–357.

    Article  Google Scholar 

  • Rabardel, P. (1996). L’homme et les outils contemporains. Paris: A. Colin. (English version: People and technology, a cognitive approach to contemporary instruments, available at http://ergoserv.psy.univ-paris8.fr/).

    Google Scholar 

  • Saenz-Ludlow, A., & Presmeg, N. (Eds.) (2006). Semiotic perspectives in mathematics education. A PME special issue. Educational Studies in Mathematics, 61(1–2).

    Google Scholar 

  • Sfard, A. (2005). What could be more practical than good theory. Educational Studies in Mathematics, 58(3), 393–413.

    Article  Google Scholar 

  • Trouche, L. (2004). Managing complexity of human/machine interactions in computerized learning environments: guiding students’ command process through instrumental orchestrations. International Journal of Computers for Mathematical Learning, 9(3), 281–307.

    Article  Google Scholar 

  • Vérillon, P., & Rabardel, P. (1995). Cognition and artifacts: a contribution to the study of thought in relation to instrumented activity. European Journal of Psychology of Education, 10(1), 77–101.

    Article  Google Scholar 

  • Wenger, E. (1998). Communities of practice, learning, meaning and identity. Cambridge: Cambridge University Press.

    Google Scholar 

  • Wilensky, U. (Ed.) (2003). Special issue on agent-based modeling. International Journal of Computers for Mathematical Learning, 8(1), 1–41.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Artigue, M. (2009). The Future of Teaching and Learning Mathematics with Digital Technologies. In: Hoyles, C., Lagrange, JB. (eds) Mathematics Education and Technology-Rethinking the Terrain. New ICMI Study Series, vol 13. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-0146-0_23

Download citation

Publish with us

Policies and ethics