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This entry is from Summer semester 2018 and might be obsolete. No current equivalent could be found.

Mathematics Education: Teaching Algebra
(dt. Didaktik des Algebraunterrichts)

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
Translation missing. German original:
Entweder Klausur (90-120 Min., 3LP) oder Seminarvortrag (ca. 75-90 Min., 2 LP) sowie Klausur (90-120 Min., 1 LP)
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 module focuses on one of the two areas described below. Didactic guidelines are identified for this purpose and suggestions for teaching methods are given.

Didactics of the number ranges: The number ranges of natural, rational and real numbers from a knowledge-theoretical and subject-didactic perspective, in particular the associated stages of number concept development and specific learning hurdles associated with them.

Terms and functions: Meaning and use of algebraic formula language in the classroom, functional relationships, elementary functions in the classroom.


Qualification Goals

The students

  • experience the development of the number system as a cultural achievement that has spanned several thousand years,
  • appreciate the development of the symbolic language of algebra as a cultural achievement that has contributed significantly to the development of mathematics as a key technology,
  • 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 causes 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 algebra in the secondary level. This includes in particular the knowledge of approaches, forms of representation, paradigmatic examples and learning obstacles in the structure of the number systems and in the algebraic symbol language.


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; das Modul Algebra sollte zumindest im gleichen Semester absolviert 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 Summer semester 2018. 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.