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  • Modelling and simulation in education and the NetLogo simulation environment
    229-240
    Views:
    29
    Just like real experimentation, computer simulation is a method for understanding the world. In the present paper I will demonstrate its possible didactic advantages and application potentials. The displayed simulations, which will be analyzed in a separate section, were all made in the NetLogo environment, one of them by the author himself.
  • Über einen allgemeinen Übungsbegriff bei verschiedenen Unterrichtsmethoden in der Planung des Mathematikunterrichtes
    175-201
    Views:
    31
    Practice is important in the education of mathematics but is neclected in the didactic of mathematics. One of the reasons is that practice is often defined too "narrowly" and the definitions of practice have in most cases an obscure background theory. In the article a general definition of practice is given, which – in contrast to the usual definitions – views practice from the point of the pupils (practice means activity of pupils). By utilising this definition consequences will be drawn. These consequences serve as for the more exact planning of practice in education as for the analysis of the dependency of practice from teachingsmethods.
    In the second part an example will be presented for planning together practice and lesson, in two different teachingsmethods (traditionel, problemsolving). The analysis of both worksheets (one for each method, identical teachingsmaterial) was made on the basis of authors practise in lessons i.e. her own concepts and the experience with pupils at a class 5. On the basis of the expectable solutions is specified – using a criteriacatalog – what was practised.
    The analysis of practice leads further to the examination of above mentioned dependency from teachingsmethods.
  • Combinatorics teaching experiment
    27-44
    Views:
    30
    Teaching combinatorics has got its conventional method. One has to see: the combinatorical formations won't be follow each other by a heuristic way. The formulas kept by pupils seem to come from "deus ex machina". We try to offer now an alternative way to approach combinatorical concepts from a nontraditional direction and point of view.