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Developments Relevant to the Use of Tools in Mathematics

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Tools and Mathematics

Part of the book series: Mathematics Education Library ((MELI,volume 110))

Abstract

This chapter explores developments in mathematics, computing, mathematics education and scholarship relevant to understanding tools from 1960 to the time of writing. This exploration is biased in accentuating influences relevant to tools and mathematics education. The chapter presents a broad landscape and focuses on selected technological advances, ideas and people that are considered important. The chapter begins with a section charting developments in mathematics, computing and education followed by a section on intellectual trends relevant to understanding tools and tool use. The final section focuses on the development of ideas in mathematics education regarding tools and tool use.

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Notes

  1. 1.

    Luc describes similar developments in France in Chap. 10.

  2. 2.

    This sketch of the development of ideas cannot be comprehensive and is bounded by my knowledge of the field.

  3. 3.

    This paragraph could be taken as an attack on Cobb’s work. This is not my intention and I hold his opus on high regard. I focus on Cobb partly because he is a ‘major player’ in the mathematics education community and because he developed as a researcher from a Piagetian base and, I believe, this base led him to overlook the role of tools in his twentieth century publications.

  4. 4.

    Explicit reference by Cobb to tool use may have occurred prior to 2002 but I am not aware that this is the case.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Agder, Kristiansand, Norway

    John Monaghan

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  1. John Monaghan
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Monaghan, J. (2016). Developments Relevant to the Use of Tools in Mathematics. In: Tools and Mathematics. Mathematics Education Library, vol 110. Springer, Cham. https://doi.org/10.1007/978-3-319-02396-0_7

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  • DOI: https://doi.org/10.1007/978-3-319-02396-0_7

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