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Representation systems and undergraduate proof production: a comment on Weber
journal contribution
posted on 2011-07-06, 11:40 authored by Lara AlcockLara Alcock, Matthew InglisMatthew InglisWeber (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
© ElsevierVersion
- AM (Accepted Manuscript)
Publication date
2009Notes
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/S0732312309000510ISSN
0732-3123Publisher version
Language
- en