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Modelling mathematical argumentation : the importance of qualification.

Inglis, M. and Mejia-Ramos, J. P. and Simpson, A. (2007) 'Modelling mathematical argumentation : the importance of qualification.', Educational studies in mathematics., 66 (1). pp. 3-21.


In recent years several mathematics education researchers have attempted to analyse students’ arguments using a restricted form of Toulmin’s [The Uses of Argument, Cambridge University Press, UK, 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.

Item Type:Article
Additional Information:
Keywords:Argumentation, Informal logic, Number theory, Proof, Reasoning, Toulmin.
Full text:Full text not available from this repository.
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Date accepted:No date available
Date deposited:No date available
Date of first online publication:September 2007
Date first made open access:No date available

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