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Instead of looking at functions as certain static relations we want to look at functions as a means for describing certain ways of dealing. To this end we distinguish three levels (word-level, level of dealing, level of results) and abtain functions as certain relations on the third level by a...
We will examine to what extent the usual instructional objectives in the preliminary treatment of isometries are suitable for the standard which pupils of 10–12 years have reached. Our criterium for this will be whether ‘insight’ in the sense of Gestalt psychology can be achieved with the...
There is a broad consensus concerning the aim to develop pupils’ want to prove mathematical statements. But we often notice that pupils are both lacking in ability to prove and in want to prove, which may be interdependent. It appears useful to distinguish between objective (cognitive) and...
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