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11264 A comparison of techniques for learning and using mathematics and a study of their relationship to logical principles
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Grigoraş, D.R. and Halverscheid, S. and Hoede, C. (2007) A comparison of techniques for learning and using mathematics and a study of their relationship to logical principles. Memorandum 1856, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

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Abstract

Various techniques exist for learning mathematical concepts, like experimentation and exploration, respectively using mathematics, like modelling and simulation. For a clear application of such techniques in mathematics education, there should be a clear distinction between these techniques.
A recently developed theory of fuzzy concepts can be applied to analyse the four mentioned concepts. For all four techniques one can pose the question of their relationship to deduction, induction and abduction as logical principles. An empirical study was conducted with 12-13 aged students, aiming at checking the three reasoning processes.

Item Type:Internal Report (Memorandum)
Research Group:EWI-DMMP: Discrete Mathematics and Mathematical Programming
Research Program:CTIT-IE&ICT: Industrial Engineering and ICT
ID Code:11264
Deposited On:12 November 2007
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