Work

Mathematical understanding – Common themes in philosophy and mathematics education

Year: 2024

Type: article

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.

Source: The Journal of Mathematical Behavior

DOI: 10.1016/j.jmathb.2024.101202

Author: Jessica Carter

Institution: Aarhus University

Language: English

Topic: History and Theory of Mathematics

Subfield: Theoretical Computer Science

Field: Mathematics

Domain: Physical Sciences

SDG: Quality education

Open Access status: hybrid

Estimated APC paid: $2,980