Mathematical Cultures: The London Meetings 2012-2014Brendan Larvor 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. |
Contents
| 1 | |
| 7 | |
| 9 | |
| 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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abstract activities American analysis applied approach argument axioms beauty become beliefs braid century character claim concepts concerning connection consider construct context course culture described dimensions discussion duality example existence experience experimental fact formal functions Gelfand geometry give given human ideas important Indigenous individual Institute interesting International issue Journal kind knot knowledge learning math mathematical practice mathematicians mathematics education means methods moral nature objects original participants particular perhaps philosophy physical play position possible practice present Press problems proof published pure question reasoning References role seems seminar sense social Society stereotypes structure suggested teachers teaching theorem theory things traditional transform truth understanding University values