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Cultures of Mathematics and LogicWhat Are Mathematical Cultures?

Cultures of Mathematics and Logic: What Are Mathematical Cultures? [In this paper, I will argue for two claims. First, there is no commonly agreed, unproblematic conception of culture for students of mathematical practices to use. Rather, there are many imperfect candidates. One reason for this diversity is there is a tension between the material and ideal aspects of culture that different conceptions manage in different ways. Second, normativity is unavoidable, even in those studies that attempt to use resolutely descriptive, value-neutral conceptions of culture. This is because our interest as researchers into mathematical practices is in the study of successful mathematical practices (or, in the case of mathematical education, practices that ought to be successful).] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Cultures of Mathematics and LogicWhat Are Mathematical Cultures?

Part of the Trends in the History of Science Book Series
Editors: Ju, Shier; Löwe, Benedikt; Müller, Thomas; Xie, Yun
Larvor, Brendan
Cultures of Mathematics and Logic — Aug 11, 2016
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21 pages

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References (24)

Publisher
Springer International Publishing
Copyright
© Springer International Publishing Switzerland 2016
ISBN
978-3-319-31500-3
Pages
1 –22
DOI
10.1007/978-3-319-31502-7_1
Publisher site
See Chapter on Publisher Site

Abstract

[In this paper, I will argue for two claims. First, there is no commonly agreed, unproblematic conception of culture for students of mathematical practices to use. Rather, there are many imperfect candidates. One reason for this diversity is there is a tension between the material and ideal aspects of culture that different conceptions manage in different ways. Second, normativity is unavoidable, even in those studies that attempt to use resolutely descriptive, value-neutral conceptions of culture. This is because our interest as researchers into mathematical practices is in the study of successful mathematical practices (or, in the case of mathematical education, practices that ought to be successful).]

Published: Aug 11, 2016

Keywords: Mathematics Education; Mathematical Practice; Mathematics Education Research; Cultural Approach; Epistemic Practice

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