Monaghan, John, Trouche, Luc, Borwein, Jonathan M.
2014, Approx. 250 p. 120 illus.
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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
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.
Content Level »Research
Keywords »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
Introduction. -Mathematics and tool use: a research mathematician's perspective. -Tool us and phylogenesis. -The history of mathematics and tool use. -Tools for calculations. -a history of practical mathematics and the use of tools. -The rise of machines--and theories of mathematics education. -Construcationism. -Activity theoretics approaches. -The development of the French school of thought. -Curriculum, assessment, and policy. -The calculator debate. -Mathematics in the real world. -The teacher: mathematical knowledge and the use of technology. -Tasks and tools in the future of mathematics education. -New forms of activity: connectivity and games. -Retrospect: the dialectical relationship between mathematics, tool use, networks of artifacts and social activity.