SaE nader bekeken
Tijdschrift voor Didactiek van de Beta-wetenschappen, uitgegeven door het Freudenthal Instituut, Universiteit Utrecht in de periode 1983-2014
Smid, H. J.
Tijdschrift voor Didactiek van de Beta-wetenschappen
In 1973 and 1974 Van Dormolen published a model for the ordering of moves in learning mathematical subject-matter. This model, mainly based on ideas of R.R. Skemp, became very well known in the Netherlands, but was hardly discussed in Dutch literature. The main issue of the model is the teaching of concepts by means of examples and non-examples, until the student has arrived at abstraction. Then the concept can be made explicit, for example by means of a definition. This article starts by criticizing the ideas of Skemp that form the basis of this model. It is argued that the principles Skemp formulates in which he states when a concept can be learned only by means of examples and non-examples, are not well founded and cannot be used in practice. Furthermore it is explained that the extension of the meaning of ‘concept’ by Van Dormolen and others to almost every sort of mathematical subject-matter is not acceptable and makes it impossible to apply the model properly. Finally a plea is made for a renewal of the discussion on this subject.
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