Abstract Inspired by the idea of
Freudenthal's didactical phenomenology, an integrated course of
(didactics of) mathematics for primary school teachers is
sketched. Based on history of mathematics and education,
mathematics as science and psychology, didactical analysis of the
subject matter is considered as the core of such a course. Only
upon this analysis a proper shaping of didactical transposition of
the subject matter is possible which would be, then, widely
understood by teachers.
A particularly controversial theme---basics of mathematical logic
in school is also discussed. A way of elaboration spanning the
current contents of school mathematics is suggested, going by
interpretation and without the use of truth tables.
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