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This paper was motivated by two starting points: lack of historical investigations in the field of present mathematics education, expectation that there may be valuable but unknown parts in traditional didactics. The first part of the paper deals with some epistemological problems concerning...
The concepts of “operational unit” and “grouping” are discussed and it is demonstrated under special consideration of the learning of fractions that both concepts cannot be equated. The formalisation of Piaget’s thoughts to the mathematical system of grouping leads to a narrowing from the...
“How do students read mathematical texts?” and “How should mathematical texts be read” are the main questions to be investigated in this paper.
Investigating spatial imagination of first grade pupils, H. Koops  used a newly developed material of cardboard as a medium to reproduce configurations of cubes. Here, we analyse the specific properties and possible disadvantages of this material with respect to giving information about...
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