© 2016

Tools and Mathematics

  • 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 Mathematics Education Library book series (MELI, volume 110)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Setting the Scene

    1. Front Matter
      Pages 1-1
    2. John Monaghan, Luc Trouche
      Pages 3-12
    3. John Monaghan
      Pages 91-115
    4. Luc Trouche, Jonathan M. Borwein, John Monaghan
      Pages 139-160
  3. The Development and Interpretation of Tools

    1. Front Matter
      Pages 161-161
    2. John Monaghan
      Pages 181-196
    3. John Monaghan
      Pages 197-218
    4. 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
    2. John Monaghan
      Pages 305-331
    3. John Monaghan
      Pages 333-356
    4. John Monaghan, Luc Trouche
      Pages 357-384
    5. John Monaghan, Luc Trouche, Jonathan M. Borwein
      Pages 385-388

About this book


This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has four parts. The first part sets the scene with a reflection on doing a mathematical task with different tools, a mathematician's account of tool use in his work and historical considerations of tool use. The second 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 third 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 and digital tools: task design; the importance of artefacts in gameplay; and new forms of activity via connectivity.


Information processing and tool use in mathematics education Mathematics education and tool use Mathematics education research and tools Tools and mathematics Tools and phylogenesis in mathematics education Tools for mathematical calculation

Authors and affiliations

  1. 1.School of Education, University of LeedsCtr for Studies in Science and Math EdLeeds LS2 9JTUnited Kingdom
  2. 2.Institut Français de l'EducationEcole Normale Supérieure de LyonLyonFrance
  3. 3. and its Applications, School of MathemaCentre for Computer Assisted Research MaNewcastleAustralia

Bibliographic information

  • Book Title Tools and Mathematics
  • Authors John Monaghan
    Luc Trouche
    Jonathan M. Borwein
  • Series Title Mathematics Education Library
  • Series Abbreviated Title Mathematics Educat.Library
  • DOI
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Education Education (R0)
  • Hardcover ISBN 978-3-319-02395-3
  • Softcover ISBN 978-3-319-79132-6
  • eBook ISBN 978-3-319-02396-0
  • 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
  • Buy this book on publisher's site