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• Dressed up problems - the danger of picking the inappropriate dress

  77-94

  Anna Muzsnay

  Csaba Szabó

  Views:

  14

  Modelling and dressed-up problems play an inevitably unavoidable role in mathematics education. In this study we would like to point out how dangerous is it to dress up mathematical problems. We go back to the principle of De Lange: The problem designer is not only dressing up the problem, but he is the solution designer, as well. We show three examples selected from Hungarian high school textbooks where the intended solution does not solve the problem, because the dressing changes the context and changes the problem itself.

• Bemerkungen zur Prototypentheorie – Begriffs - und Konzeptbildung

  365-389

  Éva Vásárhelyi

  Views:

  25

  Psychological theories of prototypes are put forward by mathematical modelling. Some didactical consequences are discussed on the background of this analysis. By the help of an example (classification of convex quadrangles) hints are given for didactical interpretations of actual models of cognitive psychology dealing with problems of constructing prototypes.