Imaging geometry

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The imaging geometry is the branch of geometry , the geometric figures studied. The invariants of the relevant images, that is to say those properties of geometric objects that remain unchanged when the relevant images are used, are characteristic of a certain class of geometric images . This view of geometry was propagated in particular by Felix Klein in his Erlangen program .

The mapping geometry includes, for example, the similarity maps (with the invariants path ratio and angle size ) or the congruence maps (with the invariants path length and angle size).

Mapping geometry in mathematics didactics

In mathematics didactics, imaging geometry or movement geometry denotes the didactic concept of operating geometry with the help of images and their properties, which is compared to the usual congruence geometry method according to Euclid.

In the Soviet Union , this approach was proposed by Andrei Kolmogorow together with set theory for a teaching reform and implemented from 1966 in a reform of mathematical teaching in schools under the name New Mathematics .


Web links

Individual evidence

  1. Alexander Karp & Bruce R. Vogeli - Russian Mathematics Education: Programs and Practices, Volume 5 , pages 100-102