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Representation systems and undergraduate proof production: a comment on Weber

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journal contribution
posted on 06.07.2011, 11:40 by Lara Alcock, Matthew Inglis
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.

History

School

  • Science

Department

  • Mathematics Education Centre

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.

Publisher

© Elsevier

Version

AM (Accepted Manuscript)

Publication date

2009

Notes

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

ISSN

0732-3123

Language

en

Exports

Loughborough Publications

Exports