Tools and mathematics : instruments for learning

Author(s)

Bibliographic Information

Tools and mathematics : instruments for learning

John Monaghan, Luc Trouche, Jonathan M. Borwein

(Mathematics education library)

Springer, c2016

Available at  / 4 libraries

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

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.

Table of Contents

Preface.- 1.Introduction to the book.- 2.Doing mathematics with tools: one task, four tools.-3.The life of modern Homo Habilis Mathematicus: Experimental computation and visual theorems.- 4.Tools, human development and mathematics .- 5.The development of mathematics practices in the Mesopotamian scribal schools.- 6.Discussions of Part A chapters.- 7. Developments relevant to the use of tools in mathematics.- 8.Constructionism.- 9.Activity theoretic approaches.- 10.Didactics of mathematics: concepts, roots, interactions and dynamics from France.- 11.Discussion of issues in chapters in Part B.- 12.Integrating tools as an ordinary component of the curriculum in mathematics education.- 13.The calculator debate.- 14. Tools and mathematics in the real world.- 15.Mathematics teachers and digital tools.- 16. Tasks and digital tools.- 17.Games: artefacts in gameplay.- 18.Connectivity in mathematics education: Drawing some lessons from the current experiences and questioning the future of the concept.- Epilogue.

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  • Mathematics education library

    Reidel Pub. Co. , Kluwer Academic Publishers , Sold and distributed in the U.S.A. and Canada by Kluwer Boston , Springer

Details

  • NCID
    BB21159120
  • ISBN
    • 9783319023953
  • Country Code
    sz
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    [Cham]
  • Pages/Volumes
    xxi, 483 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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