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Title: Representation systems and undergraduate proof production: a comment on Weber
Authors: Alcock, Lara
Inglis, Matthew
Keywords: Examples
Proof
Reasoning
Semantic
Syntactic
Undergraduate
Issue Date: 2009
Publisher: © Elsevier
Citation: ALCOCK, L. and INGLIS, M., 2009. Representation systems and undergraduate proof production: a comment on Weber. Journal of Mathematical Behavior, 28(4), pp.209-211.
Abstract: Weber (2009) suggested that counterexamples can be generated by a syntactic proof production, apparently contradicting our earlier assertion (Alcock & Inglis, 2008). Here we point out that this ostensible difference is the result of Weber working with theoretical definitions that differ slightly from ours. We defend our approach by arguing that Weber’s relies upon an as yet unspecific metric for gauging the amount of work conducted in each representation system, and that it does not recognize an important asymmetry between the status of representation systems in the context of undergraduate mathematics.
Description: This article was published in the journal, The Journal of Mathematical Behavior [© Elsevier Inc.] and the original publication is available at http://www.sciencedirect.com/science/article/pii/S0732312309000510
Version: Accepted for publication
DOI: 10.1016/j.jmathb.2009.10.001
URI: https://dspace.lboro.ac.uk/2134/8578
Publisher Link: http://dx.doi.org/10.1016/j.jmathb.2009.10.001
ISSN: 0732-3123
Appears in Collections:Published Articles (Mathematics Education Centre)

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