Mathematical understanding – Common themes in philosophy and mathematics education

Jessica Carter

doi:10.1016/j.jmathb.2024.101202

Mathematical understanding – Common themes in philosophy and mathematics education

Department of Mathematics - Science Studies

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

Abstract

We present different characterizations of mathematical understanding given by mathematicians, philosophers of mathematics, and mathematics educators. One purpose is to illustrate the diversity of these characterizations. Although the descriptions of understanding may seem incompatible, the paper ends by pointing to some shared themes. They include an emphasis on qualities such as relations and unification. Additionally, we note that re-presentation, including visual representations, is thought to play a role in understanding.

Original language	English
Article number	101202
Journal	Journal of Mathematical Behavior
Volume	76
ISSN	0732-3123
DOIs	https://doi.org/10.1016/j.jmathb.2024.101202
Publication status	Published - Dec 2024

Keywords

Explanations
Relations
Representations
Understanding
Unification
Visualization

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10.1016/j.jmathb.2024.101202Licence: CC BY

Cite this

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abstract = "We present different characterizations of mathematical understanding given by mathematicians, philosophers of mathematics, and mathematics educators. One purpose is to illustrate the diversity of these characterizations. Although the descriptions of understanding may seem incompatible, the paper ends by pointing to some shared themes. They include an emphasis on qualities such as relations and unification. Additionally, we note that re-presentation, including visual representations, is thought to play a role in understanding.",

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AB - We present different characterizations of mathematical understanding given by mathematicians, philosophers of mathematics, and mathematics educators. One purpose is to illustrate the diversity of these characterizations. Although the descriptions of understanding may seem incompatible, the paper ends by pointing to some shared themes. They include an emphasis on qualities such as relations and unification. Additionally, we note that re-presentation, including visual representations, is thought to play a role in understanding.

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KW - Relations

KW - Representations

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KW - Unification

KW - Visualization

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DO - 10.1016/j.jmathb.2024.101202

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Mathematical understanding – Common themes in philosophy and mathematics education

Abstract

Keywords

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