id: 05495466
dt: j
an: 2009e.00193
au: Vollrath, Hans-Joachim
ti: Towards an authentic teaching of mathematics: Hans-Georg Steiner’s
contribution to the reform of mathematics teaching.
so: ZDM, Int. J. Math. Educ. 39, No. 1-2, 39-50 (2007).
py: 2007
pu: Springer, Berlin/Heidelberg
la: EN
cc: D30 A30
ut: reform of mathematics education; axiomatics vs. constructiveness;
didactical analyses; history of mathematics education
ci:
li: doi:10.1007/s11858-006-0013-0
ab: Summary: Hans-Georg Steiner was the “motor of the reform” of
mathematics education in Germany. His main concern was to promote
authentic teaching. His suggestions for teaching mathematical
structures stimulated the process of reform, but were criticised as
well. Two controversies are studied in this paper. The controversy with
Detlef Laugwitz in 1965 was about the dichotomy “axiomatics vs.
constructiveness”. Another controversy with Alexander Wittenberg in
1964 was about the problem of “elementary”. The following
considerations can show the need for fundamental didactical analyses in
mathematics education, as they were initiated by Hans-Georg Steiner.
rv: