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Computer-Based Learning Environments in Mathematics

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International Handbook of Mathematics Education

Part of the book series: Kluwer International Handbooks of Education ((SIHE,volume 4))

Abstract

This chapter attempts to set a perspective on where interactive technologies have taken us and where they seem to be headed. After briefly reviewing their impact in different mathematical domains, including arithmetic, algebra, geometry, statistics, and calculus, we examine what we believe to be the sources of technology’s power, which we feel is primarily epistemological. While technology’s impact on daily practice has yet to match expectations from two or three decades ago, its epistemological impact is deeper than expected. This impact is based in a reification of mathematical objects and relations that students can use to act more directly on these objects and relations than ever before. This new mathematical realism, when coupled with the fact that the computer becomes a new partner in the didactical contract, forces us to extend the didactical transposition of mathematics to a computational transposition. This new realism also drives ever deeper changes in the curriculum, and it challenges widely held assumptions about what mathematics is learnable by which students, and when they may learn it. We also examine the limits of Artificial Intelligence and microworlds and how these may be changing. We close by considering the newer possibilities offered by the Internet and its dramatic impact on connections among learners, teachers, and the immense resources that are becoming available to both. Our conclusion is that we are very early in the technological transformation and that we desperately need research in all aspects of teaching and learning with technology.

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Author information

Authors and Affiliations

  1. IMAG, Grenoble, France

    Nicolas Balacheff & James J. Kaput

  2. University of Massachusetts, USA

    Nicolas Balacheff & James J. Kaput

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  1. Nicolas Balacheff
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  2. James J. Kaput
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Editor information

Editors and Affiliations

  1. Monash University, Clayton, Victoria, Australia

    Alan J. Bishop

  2. Universiti Brunei, Darussalam, Brunei

    Ken Clements

  3. Freie Universität Berlin, Germany

    Christine Keitel

  4. The University of Georgia, USA

    Jeremy Kilpatrick

  5. Université Joseph Fourier, Grenoble, France

    Colette Laborde

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Balacheff, N., Kaput, J.J. (1996). Computer-Based Learning Environments in Mathematics. In: Bishop, A.J., Clements, K., Keitel, C., Kilpatrick, J., Laborde, C. (eds) International Handbook of Mathematics Education. Kluwer International Handbooks of Education, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1465-0_14

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  • DOI: https://doi.org/10.1007/978-94-009-1465-0_14

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