Mathematical Cultures: The London Meetings 2012-2014
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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The Culture of the Gelfand Seminar at Moscow University
5 Mathematical Culture and Mathematics Education in Hungary in the XXth Century
An Ethnography of a Duality Transform
7 What Are We Like
13 Purity as a Value in the GermanSpeaking Area
14 Values in Caring for Proof
15 An Empirical Approach to the Mathematical Values of Problem Choice and Argumentation
16 The Notion of Fit as a Mathematical Value
17 Mathematical Pull
From Cultural Destruction to a ReAwakening of Mathematical Reflections
Mathematicians and Their Sponsors in the MidTwentieth Century
Men of Letters Politicians and Engineers in Brazil Through the Nineteenth Century
9 The End of Proof? The Integration of Different Mathematical Cultures as Experimental Mathematics Comes of Age
10 Diversity in Proof Appraisal
11 What Would the Mathematics Curriculum Look Like if Instead of Concepts and Techniques Values Were the Focus?
12 Mathematics and Values
Mathematics in the New Pattern of Division of Labour
The Case of Catherine Shaw
22 Morality and Mathematics
23 The Great GibberishMathematics in Western Popular Culture
24 Is Mathematics an Issue of General Education?
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abstract Aesthetics Alexander’s algebraic American Mathematical analysis approach argument Artstein-Avidan Beautiful Mind beauty braid century character Charlie Eppes claim cognitive concepts context curriculum diagrams dimensions discussion duality ematics epistemic epistemology ethics example experience experimental mathematics Ferreirós formal formalizability functions Gauss geometry human ideas important Indigenous students inner model Institute integer intuition Journal Kalmár knot Koellner large cardinal axioms Larvor learning logical Mancosu math mathematical beauty mathematical community mathematical content Mathematical Cultures mathematical knowledge mathematical practice mathematical proof mathematical research Mathematical Society mathematical values mathematicians mathematics education mathematics teachers matics Milman moral Moscow University Nations nature paper participants particular Péter philosophy of mathematical present problems proof pure mathematics question reasoning role Rózsa Péter sense social solve Springer International Publishing stereotypes structure teaching theorem theory transform triangle understanding University Press Varga Woodin