ZDM Mathematics Education (forthcoming)
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| Abstract |
In recent years, philosophical work directly concerned with the practice of mathematics has intensified, giving rise to a movement known as the philosophy of mathematical practice . In this paper we offer a survey of this movement aimed at mathematics educators. We first describe the core questions philosophers of mathematical practice investigate as well as the philosophical methods they use to tackle them. We then provide a selective overview of work in the philosophy of mathematical practice covering topics including the distinction between formal and informal proofs, visualization and artefacts, mathematical explanation and understanding, value judgments, and mathematical design. We conclude with some remarks on the potential connections between the philosophy of mathematical practice and mathematics education.
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| Keywords | Philosophy of mathematical practice Mathematics education |
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References found in this work BETA
The Nature of Mathematical Knowledge.Philip Kitcher - 1983 - Oxford, England: Oxford University Press.
Explanatory Unification and the Causal Structure of the World.Philip Kitcher - 1989 - In Philip Kitcher & Wesley Salmon (eds.), Scientific Explanation. Minneapolis: University of Minnesota Press. pp. 410-505.
Mathematics and Scientific Representation.Christopher Pincock - 2012 - Oxford and New York: Oxford University Press USA.
Wandering Significance: An Essay on Conceptual Behavior.Mark Wilson - 2006 - Oxford: Clarendon Press.
On Distinguishing Epistemic From Pragmatic Action.David Kirsh & Paul Maglio - 1994 - Cognitive Science 18 (4):513-49.
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Citations of this work BETA
What is the Basic Unit of Scientific Progress? A Quantitative, Corpus-Based Study.Moti Mizrahi - forthcoming - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie:1-18.
Lakatos' Undone Work: The Practical Turn and the Division of Philosophy of Mathematics and Philosophy of Science_ - Introduction to the Special Issue on _Lakatos’ Undone Work.Sophie Nagler, Hannah Pillin & Deniz Sarikaya - 2022 - Kriterion - Journal of Philosophy 36:1-10.
Three Roles of Empirical Information in Philosophy: Intuitions on Mathematics Do Not Come for Free.Deniz Sarikaya, José Antonio Pérez-Escobar & Deborah Kant - 2021 - Kriterion – Journal of Philosophy 35 (3):247-278.
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2020-04-15
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42 ( #271,674 of 2,517,822 )
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8 ( #88,574 of 2,517,822 )
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