Tools and Mathematics
Instruments for learning
Published on 25. April 2016
Book
Hardback
XXI, 483 pages
978-3-319-02395-3 (ISBN)
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.
More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Research
Illustrations
41 s/w Abbildungen, 92 farbige Abbildungen
XXI, 483 p. 133 illus., 92 illus. in color.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 33 mm
Weight
922 gr
ISBN-13
978-3-319-02395-3 (9783319023953)
DOI
10.1007/978-3-319-02396-0
Schweitzer Classification
Other editions
Additional editions
John Monaghan | Luc Trouche | Jonathan M. Borwein
Tools and Mathematics
Book
04/2018
Springer
€128.39
Shipment within 10-15 days
E-Book
04/2016
Springer
€117.69
Available for download
Content
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.