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The consideration of the causal aspects of errors could give specific help to teachers in diagnostic teaching of mathematics, and error-analysis can serve as a strategic research site for studies of mathematics learning. Most errors in the learning of mathematics are the consequence of definite...
For ages geometry has been a rather stressed subject in the discussion of mathematics teaching. But apparently there are no corresponding effects in classroom reality. — In this paper, first we discuss some aims of geometry teaching which are supposed to be desiderable. Second we try to define...
Triangulations of polygons are treated in a dynamical way in this article. Their construction and transformation of different triangulations into each other can be done by certain operations, which are found to be composed of simple “elementary operations”, working on “elementary states”...
A critical appreciation of Hans Freudenthal’s “Vorrede zu einer Wissenschaft vom Mathematikunterricht” (München / Wien 1978) followed by three reflexions upon different aims of teaching mathematics: objectives, professional and general education.
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