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This entry is from Winter semester 2016/17 and might be obsolete. No current equivalent could be found.

Mathematics Education: Teaching Geometry
(dt. Didaktik des Geometrieunterrichts)

Level, degree of commitment Advanced module, required module
Forms of teaching and learning,
workload		 Lecture (2 SWS) or seminar (2 SWS),
90 hours (30 h attendance, 50 h preparation and follow-up inklusive Studienleistungen, 10 h Vorbereitung and Ablegen von Prüfungsleistungen)
Credit points,
formal requirements		 3 CP
Course requirement(s): Translation is missing, sorry. German original:
Entweder Klausur (90-120 Min., 3LP) oder Seminarvortrag (ca. 75-90 Min., 2 LP) sowie Klausur (90-120 Min., 1 LP)
Examination type: Successful completion of at least 50% of the weekly exercises as well as at least 1-3 presentations of the tasks.
Language,
Grading		 German,
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.
Duration,
frequency		 One semester,
Jedes Studienjahr
Person in charge of the module's outline N.N.

Contents

The types of mathematical knowledge formation appropriate to the levels in grades 5 to 10 in the learning area of geometry and their development are described, corresponding didactic guidelines are identified, and suggestions for teaching methods are given. The use of dynamic geometry software is also taken into account. The module focuses on one of the following two content areas:

Figures and Illustrations: Topics related to figure theory and congruence and similarity with associated geometric figures are covered.

Measures and functions in the teaching of geometry: Topics will be covered that can be assigned to content theory and angle measurement, i.e., that deal with the measurement of geometric quantities (lengths, areas, volumes, angle measures).


Qualification Goals

Competences:

The students

  • understand the study of geometric maps and shapes as a foundation for conceptualizing mathematically space and forms and for developing appropriate mental models and intutions.
  • experience geometric content theory as a classical topic of mathematics teaching, which can show the fruitful connection of theory formation and application in an elementary context,
  • understand which mental techniques of mathematical knowledge formation (abstraction, mental ordering and structuring, formalisation) are necessary for understanding,
  • know a multi-faceted spectrum of different approaches, mediating ideas and paradigmatic examples,
  • acquire the ability to flexibly alternate between levels of conceptual rigor and precision on a topic-related basis,
  • know topic-specific learning obstacles and sources of error,
  • know the associated results and considerations of didactic research and examples of practical implementation in teaching.

Qualification goals:

The students have a basic knowledge of mathematics and didactics for teaching geometry in the secondary level. This includes in particular the knowledge of approaches, forms of representation, paradigmatic examples and learning obstacles concerning geometric maps and shapes as well as in geometric content theory.


Prerequisites

Translation is missing. Here is the German original:

Keine. Empfohlen werden die Kompetenzen, die in den Modulen Analysis I, Analysis II und Lineare Algebra vermittelt werden


Applicability

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 2016/17. 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
  • Summer 2018
  • 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 (no corresponding element)

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.