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Tools and Mathematics 1st ed. 2016 [Kõva köide]

  • Formaat: Hardback, 483 pages, kõrgus x laius: 235x155 mm, kaal: 8808 g, 92 Illustrations, color; 41 Illustrations, black and white; XXI, 483 p. 133 illus., 92 illus. in color., 1 Hardback
  • Sari: Mathematics Education Library
  • Ilmumisaeg: 25-Apr-2016
  • Kirjastus: Springer International Publishing AG
  • ISBN-10: 3319023950
  • ISBN-13: 9783319023953
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  • Formaat: Hardback, 483 pages, kõrgus x laius: 235x155 mm, kaal: 8808 g, 92 Illustrations, color; 41 Illustrations, black and white; XXI, 483 p. 133 illus., 92 illus. in color., 1 Hardback
  • Sari: Mathematics Education Library
  • Ilmumisaeg: 25-Apr-2016
  • Kirjastus: Springer International Publishing AG
  • ISBN-10: 3319023950
  • ISBN-13: 9783319023953
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.

This book offers an exploration of tools and mathematics and issues in mathematics education related to tool use, from pre-history to future directions in the field. It includes coverage of curriculum, assessment, and policy design.
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.