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 inZDM Vol. 52; no. 6; pp. 1127 - 1136
Main Authors Inglis, Matthew, Aberdein, Andrew
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2020
Springer
Springer Nature B.V
Subjects
Online AccessGet full text
ISSN1863-9690
1863-9704
1863-9704
DOI10.1007/s11858-020-01156-8

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Abstract 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.
AbstractList 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.
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.
Author Aberdein, Andrew
Inglis, Matthew
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  organization: Florida Institute of Technology
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Keywords Mathematical aesthetics
Hypotheses
Hypothetico-deductive method
Social conformity
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Snippet Many of the methods commonly used to research mathematical practice, such as analyses of historical episodes or individual cases, are particularly well-suited...
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SubjectTerms Aesthetics
Case Studies
Education
Hypotheses
Hypothesis Testing
Inferences
Inhalants
Interviews
Mathematical analysis
Mathematical Logic
Mathematicians
Mathematics
Mathematics Education
Natural language
Nouns
Original Article
Philosophers
Qualitative research
Reading
Reading Habits
Research Methodology
Semantics
Semiotics
Social Influences
Validity
Verbs
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Title Are aesthetic judgements purely aesthetic? Testing the social conformity account
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