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
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
This interview can be downloaded on the historical website of ICMI: http://www.icmihistory.unito.it.
- 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.
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.
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.
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.
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.
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.
Artigue, M. (Ed.) (2006). Integrative Theoretical Framework. ReMath Deliverable D1. Available at http://www.remath.cti.gr.
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.
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.
Artigue, M., Belloc, J., & Touaty, S. (1989). Une recherche menée dans le cadre du projet EUCLIDE. Brochure n. IREM Paris 7.
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.
Chevallard, Y. (1992). Concepts fondamentaux de la didactique: perspectives apportées par une approche anthropologique. Recherches en Didactique des Mathématiques, 12(1), 77–111.
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.
Dubinsky, E. (1991). Reflective abstraction in advanced mathematical thinking, In D. Tall (Ed.), Advanced mathematical thinking (pp. 95–126). Dordrecht: Kluwer.
Duval, R. (1995). Semiosis et Noesis. Berne: Peter Lang.
Guin, D., Ruthven, K., & Trouche, K. (Eds.) (2004). The didactic challenge of symbolic calculators. Dordrecht: Kluwer.
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.
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.
Monaghan, J. (2004). Teachers’ activities in technology-based mathematics Lessons. International Journal of Computers for Mathematical Learning, 9(3), 327–357.
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/).
Saenz-Ludlow, A., & Presmeg, N. (Eds.) (2006). Semiotic perspectives in mathematics education. A PME special issue. Educational Studies in Mathematics, 61(1–2).
Sfard, A. (2005). What could be more practical than good theory. Educational Studies in Mathematics, 58(3), 393–413.
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.
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.
Wenger, E. (1998). Communities of practice, learning, meaning and identity. Cambridge: Cambridge University Press.
Wilensky, U. (Ed.) (2003). Special issue on agent-based modeling. International Journal of Computers for Mathematical Learning, 8(1), 1–41.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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
DOI: https://doi.org/10.1007/978-1-4419-0146-0_23
Published:
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-0145-3
Online ISBN: 978-1-4419-0146-0
eBook Packages: Humanities, Social Sciences and LawEducation (R0)