In the 1970s and 1980s, mathematics education was established as a scientific discipline in German-speaking countries through a process of institutionalization at
universities, the foundation of scientific media, and a scientific society. This raised
the question of how far the didactics of mathematics had been developed as a
scientific discipline. This question was discussed intensely in the 1980s, with both
appreciative and critical reference to Kuhn and Masterman. In 1984, Hans-Georg
Steiner inaugurated a series of international conferences on Theories of Mathematics
Education (TME), pursuing a scientific program aimed at founding and developing
the didactics of mathematics as a scientific discipline. Chapter2will show how this
discussion was related to a discourse on theories. Chapters3and4will present two
theory strands from German-speaking countries: with reference to Peirce and
Wittgenstein, semiotic approaches are presented by Willi Dörfler and a contribution
to activity theory in the work of Joachim Lompscher is presented by Regina Bruder
and Oliver Schmitt
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