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This paper presents results of an empirical investigation from 1979 till 1982 with students at an age of 13 to 15 years and teachers in secondary schools. Main questions are: What about numerical basic skills in German schools? Is there any influence of hand-held calculators on numerical skills...
This paper gives a report on an experimental investigation. Pupils were asked to reproduce geometrical figures given in a grid. The ability to cope the reproducton can be separated into two factors corresponding with two types of counting: (i) Counting in one dimension, (ii) counting in two...
The central thesis is that one of the functions of mathematics education within the official educational system should be to make a contribution for the liberation from mathematics. It is argued that there exist many possibilities for gaining (scientific) knowledge outside schools, that there...
This is a report on the history of pedagogy of mathematics in Germany from 1945 to 1967 containing a lot of autobiographical remarks.
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