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ERIC Number: EJ1140413
Record Type: Journal
Publication Date: 2017-Jun
Pages: 20
Abstractor: As Provided
ISSN: ISSN-0013-1954
Values and Norms of Proof for Mathematicians and Students
Dawkins, Paul Christian; Weber, Keith
Educational Studies in Mathematics, v95 n2 p123-142 Jun 2017
In this theoretical paper, we present a framework for conceptualizing proof in terms of mathematical values, as well as the norms that uphold those values. In particular, proofs adhere to the values of establishing a priori truth, employing decontextualized reasoning, increasing mathematical understanding, and maintaining consistent standards for acceptable reasoning across domains. We further argue that students' acceptance of these values may be integral to their apprenticeship into proving practice; students who do not perceive or accept these values will likely have difficulty adhering to the norms that uphold them and hence will find proof confusing and problematic. We discuss the implications of mathematical values and norms with respect to proof for investigating mathematical practice, conducting research in mathematics education, and teaching proof in mathematics classrooms.
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A