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This entry is from Winter semester 2022/23 and might be obsolete. You can find a current equivalent here.

Mathematics Education: Teaching Algebra
(dt. Didaktik der Algebra)

Level, degree of commitment Advanced module, depends on importing study program
Forms of teaching and learning,
workload		 Lecture (2 SWS) or seminar (2 SWS),
90 hours (attendance in den Lehrveranstaltungen 30 h, 50 h preparation and follow-up inklusive Studienleistungen, 10 h Vorbereitung and Ablegen von Prüfungsleistungen)
Credit points,
formal requirements		 3 CP
Course requirement(s): Depending on the type of course, two of the following three course requirements are offered and must be passed for admission to the module examination: (1) Successful completion of at least 50 % of the exercises, (2) presentation, or (3) written test.
Examination type: Written examination (90 min.) or term paper (15-20 p.)
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.
Origin LAaG Mathematics
Duration,
frequency		 One semester,
Jedes Studienjahr
Person in charge of the module's outline Prof. Dr. Thomas Bauer, Dr. Roland Weber

Contents

The module Didactics of Algebra deals with algebra in secondary education and in particular with the didactic reflection of the core topics of school algebra.

Possible main topics of the module are the two areas described below. In these areas didactic guidelines are identified and suggestions for teaching method are given.

Didactics of the number systems:

The systems of natural, rational and real numbers are studied from an epistemological and didactic perspective, in particular the associated stages of the development of the concept of numbers and the associated specific learning obstacles.

Terms and functions:

Meaning and purpose of the symbolic language of algebra in secondary education, functional dependence, elementary functions in school.


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

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


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 2022/23. 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:

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.