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Modelling mathematical argumentation: the importance of qualification
journal contribution
posted on 2011-06-29, 16:19 authored by Matthew InglisMatthew Inglis, Juan P. Mejia-Ramos, Adrian SimpsonIn recent years several mathematics education researchers have attempted to analyse
students’ arguments using a restricted form of Toulmin’s (1958) argumentation scheme. In
this paper we report data from task-based interviews conducted with highly talented postgraduate
mathematics students, and argue that a superior categorisation of genuine mathematical
argumentation is provided by the use of Toulmin’s full scheme. In particular, we suggest
that modal qualifiers play an important and previously unrecognised role in mathematical
argumentation, and that one of the goals of instruction should be to develop students’ abilities
to appropriately match up warrant-types with modal qualifiers.
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School
- Science
Department
- Mathematics Education Centre
Citation
© SpringerPublisher
INGLIS, M., MEIJA-RAMOS, J.P. and SIMPSON, A., 2007. Modelling mathematical argumentation: the importance of qualification. Educational Studies in Mathematics, 66 (1), pp. 3-21.Version
- AM (Accepted Manuscript)
Publication date
2007Notes
The final publication is available at: http://dx.doi.org/10.1007/s10649-006-9059-8ISSN
0013-1954;1573-0816Publisher version
Language
- en
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