Perspectives on Mathematical Practices : Bringing Together Philosophy of Mathematics, Sociology of Mathematics, and Mathematics Education

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書誌事項

Perspectives on Mathematical Practices : Bringing Together Philosophy of Mathematics, Sociology of Mathematics, and Mathematics Education

Edited by Bart van Kerkhove and Jean Paul van Bendegem

(Logic, epistemology, and the unity of science / editors, Shahid Rahman, John Symons, 5)

Springer, c2007

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内容説明

In the eyes of the editors, this book will be considered a success if it can convince its readers of the following: that it is warranted to dream of a realistic and full-fledged theory of mathematical practices, in the plural. If such a theory is possible, it would mean that a number of presently existing fierce oppositions between philosophers, sociologists, educators, and other parties involved, are in fact illusory.

目次

How to Deal with Mathematical Practice?.- How and Why Mathematics is Unique as a Social Practice.- Mathematics As Objective Knowledge And As Human Practice.- The Comparison Of Mathematics With Narrative.- Theory of Mind, Social Science, and Mathematical Practice.- Taking Mathematical Practice Seriously.- Incommensurability In Mathematics.- Mathematical Progress As Increased Scope.- Proof in C17 Algebra.- The Informal Logic Of Mathematical Proof.- The Special Case of Mathematical Education.- Mathematicians' Narratives About Mathematics.- Philosophy of Mathematics and Mathematics Education.- Mathematical Practices In And Across School Contexts.- The Importance of a Journal for Mathematics Teachers.- On The Interdisciplinary Study of Mathematical Practice, with a Real Live Case Study.

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