Mathematical pathologies as pathways into creativity

Bharath Sriraman; Benjamin Dickman

doi:10.1007/s11858-016-0822-8

Mathematical pathologies as pathways into creativity

Bharath Sriraman, Benjamin Dickman

Mathematics

The Hewitt School

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

In this paper, the role of mathematical pathologies as a means of fostering creativity in the classroom is discussed. In particular, it delves into what constitutes a mathematical pathology, examines historical mathematical pathologies as well as pathologies in contemporary classrooms, and indicates how the Lakatosian heuristic can be used to formulate problems that illustrate mathematical pathologies. We discuss the relationship between mathematical pathologies and their role in fostering creativity. The paper concludes with remarks on mathematical pathologies from the perspective of creativity studies at large.

Original language	English
Pages (from-to)	137-145
Number of pages	9
Journal	ZDM - International Journal on Mathematics Education
Volume	49
Issue number	1
DOIs	https://doi.org/10.1007/s11858-016-0822-8
State	Published - Mar 1 2017

Keywords

Convergent thinking
Creativity
Divergent thinking
Heuristics
Lakatosian heuristics
Mathematical pathologies
Pathologies
Problem-posing

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10.1007/s11858-016-0822-8

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Mathematical pathologies as pathways into creativity

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Keywords

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