Original scientific paper

The Effectiveness of Representations in Mathematics

Jessica Carter ; University of Southern Denmark, Odense, Denmark

Abstract

This article focuses on particular ways in which visual representations contribute to the development of mathematical knowledge. I give examples of diagrammatic representations that enable one to observe new properties and cases where representations contribute to classification. I propose that fruitful representations in mathematics are iconic representations that involve conventional or symbolic elements, that is, iconic metaphors. In the last part of the article, I explain what these are and how they apply in the considered examples.

Keywords

Visual representations; discovery; iconic metaphors; manipulation; Peirce.

Hrčak ID:

253636

URI

https://hrcak.srce.hr/253636

Publication date:

31.3.2020.

Visits: 708 *