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Geometry for Pre-Service Teachers
(dt. Geometrie für das Lehramt)

Level, degree of commitment Advanced module, depends on importing study program
Forms of teaching and learning,
Lecture (2 SWS) and recitation class (1 SWS),
90 hours (attendance in den Lehrveranstaltungen 45 h, 35 h preparation and follow-up inklusive Studienleistungen, 10 h Vorbereitung and Ablegen von Prüfungsleistungen)
Credit points,
formal requirements
3 CP
Course requirement(s): Successful completion of at least 50% of the weekly exercises. The coursework is a prerequisite for admission to the module examination.
Examination type: Written examination (60-90 minutes) or oral examination (15-20 minutes)
The grading is done with 0 to 15 points according to the examination regulations for the degree program LAaG Mathematics. In the event of failure, a total of 4 attempts are available for the examination.
Origin LAaG Mathematics
One semester,
jedes Studienjahr
Person in charge of the module's outline All lecturers of Mathematics


In its approach, the module focuses on synthetic geometry or analytic geometry. Elementary geometric questions and results on elementary geometric objects (e.g. triangles, squares, circles) are dealt with in an axiomatic-deductive or analytical-computational approach.

In particular, the basic geometric objcts (such as lengths, angles, lines, straight lines, figures), geometric theorems (such as incidence theorems, theorems about triangles and special lines in triangles, the Pythagorean theorems, theorems on congruence, theorems about squares, theorems on circles, theorems of Thales, circumference angle theorems, theorems of trigonometry) and geometric maps (in particular homotheties and their properties).

Qualification Goals

Students have a basic knowledge of mathematics for geometry teaching in secondary schools. This includes, in particular, familiarity with the technical terms, methods, and results of elementary geometry.


None. The competences taught in the following modules are recommended: Analysis I, Analysis II, Linear Algebra incl. Foundations of Mathematics.


The module can be attended at FB12 in study program(s)

  • LAaG Mathematics

When studying LAaG Mathematics, this module must be completed in the study area Advanced Modules.

Recommended Reading

(not specified)

Please note:

This page describes a module according to the latest valid module guide in Winter semester 2023/24. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

  • Winter 2016/17 (no corresponding element)
  • Summer 2018 (no corresponding element)
  • Winter 2018/19 (no corresponding element)
  • Winter 2019/20 (no corresponding element)
  • Winter 2020/21 (no corresponding element)
  • Summer 2021 (no corresponding element)
  • Winter 2021/22 (no corresponding element)
  • Winter 2022/23 (no corresponding element)
  • Winter 2023/24

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.