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  • Book
  • © 2016

Tools and Mathematics

Authors:

  1. John Monaghan

    1. School of Education, University of Leeds, Ctr for Studies in Science and Math Ed, Leeds LS2 9JT, United Kingdom

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    You can also search for this author in PubMed   Google Scholar

  2. Luc Trouche

    1. Institut Français de l'Education, Ecole Normale Supérieure de Lyon, Lyon, France

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Jonathan M. Borwein

    1. and its Applications, School of Mathema, Centre for Computer Assisted Research Ma, Newcastle, Australia

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    You can also search for this author in PubMed   Google Scholar

  • The only book on the topic of tools and mathematics education
  • Comprehensive coverage from pre-history to future directions in the field
  • Content divided equally among the areas of curriculum, assessment, and policy design

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

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xxi
    PDF

  2. Setting the Scene

    1. Front Matter

      Pages 1-1
      PDF

    2. Introduction to the Book

      • John Monaghan, Luc Trouche
      Pages 3-12

    5. Tools, Human Development and Mathematics

      • John Monaghan
      Pages 91-115

    7. Discussions of Part I Chapters

      • Luc Trouche, Jonathan M. Borwein, John Monaghan
      Pages 139-160

  3. The Development and Interpretation of Tools

    1. Front Matter

      Pages 161-161
      PDF

    3. Constructionism

      • John Monaghan
      Pages 181-196

    4. Activity Theoretic Approaches

      • John Monaghan
      Pages 197-218

    6. Discussion of Issues in Chapters in Part II

      • John Monaghan, Luc Trouche, Jonathan M. Borwein, Richard Noss
      Pages 257-264

  4. Selected Issues with Regard to Tool Use in Mathematics

    1. Front Matter

      Pages 265-266
      PDF

    3. The Calculator Debate

      • John Monaghan
      Pages 305-331

    4. Tools and Mathematics in the Real World

      • John Monaghan
      Pages 333-356

    5. Mathematics Teachers and Digital Tools

      • John Monaghan, Luc Trouche
      Pages 357-384

    6. Interlude

      • John Monaghan, Luc Trouche, Jonathan M. Borwein
      Pages 385-388
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About this book

This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has five parts. The first part reflects on doing a mathematical task with different tools, followed by a mathematician's account of tool use in his work. The second considers prehistory and history: tools in the development from ape to human; tools and mathematics in the ancient world; tools for calculating; and tools in mathematics instruction. The third part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The fourth part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future: task and tool design and new forms of activity via connectivity and computer games.
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Keywords

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Authors and Affiliations

  • School of Education, University of Leeds, Ctr for Studies in Science and Math Ed, Leeds LS2 9JT, United Kingdom

    John Monaghan

  • Institut Français de l'Education, Ecole Normale Supérieure de Lyon, Lyon, France

    Luc Trouche

  • and its Applications, School of Mathema, Centre for Computer Assisted Research Ma, Newcastle, Australia

    Jonathan M. Borwein

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Bibliographic Information

  • Book Title: Tools and Mathematics

  • Authors: John Monaghan, Luc Trouche, Jonathan M. Borwein

  • Series Title: Mathematics Education Library

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

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2016

  • Hardcover ISBN: 978-3-319-02395-3Published: 25 April 2016

  • Softcover ISBN: 978-3-319-79132-6Published: 21 April 2018

  • eBook ISBN: 978-3-319-02396-0Published: 18 April 2016

  • Series ISSN: 0924-4921

  • Series E-ISSN: 2214-983X

  • Edition Number: 1

  • Number of Pages: XXI, 483

  • Number of Illustrations: 41 b/w illustrations, 92 illustrations in colour

  • Topics: Mathematics Education

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Buy it now

eBook USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
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

Other ways to access

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