A comparison of techniques for learning and using mathematics and a study of their relationship to logical principles

D.R. Grigoras, S. Halverscheid, C. Hoede

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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.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages17
Publication statusPublished - 23 Oct 2007

Publication series

PublisherDepartment of Applied Mathematics, University of Twente
ISSN (Print)1874-4850
ISSN (Electronic)1874-4850


  • EWI-11264
  • IR-64425
  • METIS-242006
  • MSC-05C99

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