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. [Report]

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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:Report
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Link to this item:http://purl.utwente.nl/publications/64425
Official URL:http://www.math.utwente.nl/publications
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Metis ID: 242006