id: 06618326
dt: j
an: 2016e.00786
au: Leuders, Timo
ti: Subject matter analysis with a perspective on teacher education ‒ the
case of Galois theory as a theory of symmetry.
so: J. Math.-Didakt. 37, Suppl. 1, S163-S191 (2016).
py: 2016
pu: Springer, Berlin/Heidelberg; Gesellschaft für Didaktik der Mathematik
(GDM), Berlin
la: EN
cc: H49 D39
ut: Galois theory; modern algebra; classical algebra; teacher education;
subject matter analysis; mathematical knowledge for teaching
ci:
li: doi:10.1007/s13138-016-0099-z
ab: Summary: Since Felix Kleins’ influential statement on {\it Elementary
mathematics from an higher standpoint} many scholars have discussed the
role of mathematical knowledge in teacher education and generated
diverse arguments for selecting and delivering university subject
matter courses. This article contributes to the discussion by
considering the special case of Galois Theory. It conducts a subject
matter analysis of Galois Theory by drawing on several frameworks from
general didactics, subject matter didactics and teacher competence, and
by presenting a concrete university course that emphasizes the idea of
symmetry and connections to school mathematics. Thereby it proposes an
example for a “Subject Matter Analysis with a Perspective on
Education and Teachers”.
rv: