Mathematical Cultures: The London Meetings 2012-2014

Front Cover
Brendan Larvor
Birkhäuser, May 25, 2016 - Mathematics - 460 pages

This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education.

Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.
 

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Contents

1 Editorial Introduction
1
Varieties
7
2 Understanding the Cultural Construction of School Mathematics
9
3 Envisioning TransformationsThe Practice of Topology
24
The Culture of the Gelfand Seminar at Moscow University
51
5 Mathematical Culture and Mathematics Education in Hungary in the XXth Century
71
An Ethnography of a Duality Transform
91
7 What Are We Like
111
13 Purity as a Value in the GermanSpeaking Area
215
14 Values in Caring for Proof
235
15 An Empirical Approach to the Mathematical Values of Problem Choice and Argumentation
259
16 The Notion of Fit as a Mathematical Value
270
17 Mathematical Pull
287
Interfaces
303
From Cultural Destruction to a ReAwakening of Mathematical Reflections
304
Mathematicians and Their Sponsors in the MidTwentieth Century
329

Men of Letters Politicians and Engineers in Brazil Through the Nineteenth Century
126
9 The End of Proof? The Integration of Different Mathematical Cultures as Experimental Mathematics Comes of Age
139
Values
161
10 Diversity in Proof Appraisal
163
11 What Would the Mathematics Curriculum Look Like if Instead of Concepts and Techniques Values Were the Focus?
180
12 Mathematics and Values
189
Mathematics in the New Pattern of Division of Labour
347
The Case of Catherine Shaw
375
22 Morality and Mathematics
387
23 The Great GibberishMathematics in Western Popular Culture
409
24 Is Mathematics an Issue of General Education?
438
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