Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/14020

Title: How mathematicians obtain conviction: implications for mathematics instruction and research on epistemic cognition
Authors: Weber, Keith
Inglis, Matthew
Mejia-Ramos, Juan P.
Keywords: Conviction
Epistemic cognition
Issue Date: 2014
Publisher: © Routledge (Taylor & Francis)
Citation: WEBER, K., INGLIS, M. and MEJIA-RAMOS, J.P., 2014. How mathematicians obtain conviction: implications for mathematics instruction and research on epistemic cognition. Educational Psychologist, 49 (1), pp.36-58
Abstract: The received view of mathematical practice is that mathematicians gain certainty in mathematical assertions by deductive evidence rather than empirical or authoritarian evidence. This assumption has influenced mathematics instruction where students are expected to justify assertions with deductive arguments rather than by checking the assertion with specific examples or appealing to authorities. In this paper, we argue that the received view about mathematical practice is too simplistic; some mathematicians sometimes gain high levels of conviction with empirical or authoritarian evidence and sometimes do not gain full conviction from the proofs that they read. We discuss what implications this might have, both for for mathematics instruction and theories of epistemic cognition.
Description: This is an Accepted Manuscript of an article published by Taylor & Francis in Educational Psychologist on 16th January 2014, available online: http://wwww.tandfonline.com/10.1080/00461520.2013.865527
Version: Accepted for publication
DOI: 10.1080/00461520.2013.865527
URI: https://dspace.lboro.ac.uk/2134/14020
Publisher Link: http://dx.doi.org/10.1080/00461520.2013.865527
ISSN: 0046-1520
Appears in Collections:Published Articles (Mathematics Education Centre)

Files associated with this item:

File Description SizeFormat
EP-2014.pdfAccepted version440.1 kBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.