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The concept of “functional thinking” has a long tradition in mathematics education. It was a fundamental goal in the Meran proposals for mathematics teaching (1905). After a period of enthusiastic acceptance it became out of fashion during the “new math” era. But it has been rediscovered in the...
Recursion is not only a means for describing mathematical concepts, it is also an important problem solving tool in both mathematics and computer sciences. Recursion is the object of interest in our research project. In this article, we are going to report on an investigation aiming at the...
The purpose of this paper is to investigate by means of an informal test to what extent secondary school pupils (Realschule, class 9) are able to recognize the invariance and variance of surface size. In this test the pupils have to interpret cutting operations performed on a cube presented in...
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