Are aesthetic judgements purely aesthetic? Testing the social conformity account
Many of the methods commonly used to research mathematical practice, such as analyses of historical episodes or individual cases, are particularly well-suited to generating causal hypotheses, but less well-suited to testing causal hypotheses. In this paper we reflect on the contribution that the so-...
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Published in | ZDM Vol. 52; no. 6; pp. 1127 - 1136 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.11.2020
Springer Springer Nature B.V |
Subjects | |
Online Access | Get full text |
ISSN | 1863-9690 1863-9704 1863-9704 |
DOI | 10.1007/s11858-020-01156-8 |
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Summary: | Many of the methods commonly used to research mathematical practice, such as analyses of historical episodes or individual cases, are particularly well-suited to
generating
causal hypotheses, but less well-suited to
testing
causal hypotheses. In this paper we reflect on the contribution that the so-called hypothetico-deductive method, with a particular focus on experimental studies, can make to our understanding of mathematical practice. By way of illustration, we report an experiment that investigated how mathematicians attribute aesthetic properties to mathematical proofs. We demonstrate that perceptions of the aesthetic properties of mathematical proofs are, in some cases at least, subject to social influence. Specifically, we show that mathematicians’ aesthetic judgements tend to conform to the judgements made by others. Pedagogical implications are discussed. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
ISSN: | 1863-9690 1863-9704 1863-9704 |
DOI: | 10.1007/s11858-020-01156-8 |