3 papers
math.MG2015
The Steiner-Lehmus theorem and "triangles with congruent medians are isosceles" hold in weak geometries
Victor Pambuccian, Horst Struve, Rolf Struve
We prove that (i) a generalization of the Steiner-Lehmus theorem due to A. Henderson holds in Bachmann's standard ordered metric planes, (ii) that a variant of Steiner-Lehmus holds…
math.HO2014
Die Bedeutung empirischer Theorien für die Entwicklung von Gruppierungen
Hans Joachim Burscheid, Horst Struve
Reviewing Piaget's psychology of reasoning by the mathematical educators of the Federal Republic of Germany late in the 1960th the concept of grouping has been understood similar t…
math.HO2014
Empirische Theorien im Kontext der Mathematikdidaktik
Hans Joachim Burscheid, Horst Struve
At two examples dealt with in methodologically different ways it will be pointed out how the concept of an empirical theory (in the sense of the Structuralists) can be useful to sp…