Teaching subject mathematics
(elementary school teacher)

according to the modularized version of the Lehramtsprüfungsordnung I of 13.03.2008

The examination and study regulations of the Ludwig-Maximilians-Universität Munich for the study of mathematics as part of the study program Teaching at Elementary Schools of 04.07.2012 came into force retroactively to 01.07.2010 and implements the modularized version of the Teaching Examination Regulations I of 13.03.2008 at the LMU Munich. On this page you will find information concerning the study of mathematics at the LMU Munich especially for elementary school teachers. General information on the subject of mathematics, independent of the type of school chosen, such as study contents and desired student profile can be found on an introductory page.

The study consultation of the LMU Munich makes further information available to the teacher training course elementary school as well as the subject Mathematics and the elementary school didactics.

First State Examination ("Staatsexamen")

The teaching subject mathematics for the teaching profession at elementary schools requires a standard period of study of seven semesters; a total of 66 credit points must be earned:

• 18 credit points in differential and integral calculus,
• 18 credit points in linear algebra and analytical geometry,
• 18 credit points in basic mathematics (number theory, stochastics and geometry)
• 12 credit points in specialized didactics.

In addition, a total of 6 credit points (scientific or didactic) are to be earned in the free area through further teacher-specific courses in the subject mathematics.

Credit points are a measure of the amount of work involved in attending a course and are awarded exclusively for passed module examinations (in subject science) and passed module submodule examinations (in subject didactics). These take the form of 90-180-minute written exams (in subject science) or 45-60-minute exams (in subject didactics) as well as 30-60-minute presentations and elaborations (in subject didactic seminars); the grade obtained is irrelevant for the acquisition of credit points.

The First State Examination in Mathematics consists of three exams in

• Differential and integral calculus (4 hours),
• Linear algebra and geometry (4 hours),
• Specialized didactics (3 hours);

In addition to the grades achieved in these three central exam exams, the exam grade also includes the subject-related and didactic average values determined by the LMU Munich from the results of the module examinations or module submodule examinations.

Courses

Each course in mathematics for elementary school teachers is offered annually, either in a winter semester or in a summer semester; attendance is recommended for a specific semester for reasons of content and organization. There are no formal admission requirements for participation, even if previous knowledge of the content is necessary. It is not necessary to enroll in lectures and exercises, e.g. via LSF, for scientific or didactic lectures and exercises; only for some didactic seminars (not in the 1st semester) registration via the website of the Chair of Didactics may be necessary.

Each of the seven semesters consists of a four-hour lecture (two double lessons per week) with a two-hour central exercise (one double lesson per week) and additional two-hour tutorials in small groups:

• P 1: Fundamentals of Mathematics I (9 credit points; graded exam)
• P 3: Fundamentals of Mathematics II (9 credit points; graded exam)
• P 4: Linear Algebra and Analytical Geometry I (9 credit points; graded exam)
• P 6: Linear Algebra and Analytical Geometry II (9 credit points; graded exam)
• P 7: Differential and integral calculus I (6 credit points; graded exam)
• P 8: Differential and Integral Calculus II (6 credit points; graded exam)
• P 9: Mathematics in cross-section (6 credit points; ungraded exam)

The subject exams are usually held during the lecture-free period, in the first weeks after the end of the corresponding semester (main date) and in the last weeks before the beginning of the following semester (repetition date). A module examination is passed if it is graded "passed" or at least "sufficient"; a module examination that has not been passed can be repeated as often as desired. A module examination that has already been passed may not be repeated to improve the grade; the average value for the subject area included in the examination grade is calculated as the unweighted arithmetic mean of

• the better grade of P1 and P3 (basic mathematics),
• the better grade of P4 and P6 (linear algebra and analytical geometry) and
• the better grade of P7 and P8 (differential and integral calculus).

In addition, in the first four semesters one didactic course should be attended in each subject; this comprises a two-hour lecture (one double lesson per week) with an optional, usually one-hour exercise (one double lesson every two weeks) or is held (in the 4th semester) as a two-hour seminar (one double lesson per week or as a block course):

• P 2.1: Numbers, operations and calculus (3 credit points; graded exam)
• P 2.2: Geometry, sizes, data and randomness (3 credit points; graded exam)
• P 5.1: Number ranges and arithmetic (3 credit points; graded exam)
• P 5.2: Seminar on mathematics teaching at elementary school 1 (3 credit points; presentation and/or elaboration, ungraded)

The subject didactic examinations are usually held towards the end of the corresponding semester (main date) and towards the end of the following semester (repetition date); the presentations are given in the seminar sessions. Again, a module submodule exam is passed if it is graded "passed" or at least "sufficient"; a module submodule exam that has not been passed can be repeated as often as desired. Here again, the repetition of a module submodule examination that has already been passed is excluded in order to improve the grade; the didactic average value for the subject, which is included in the examination grade, is calculated as an unweighted arithmetic mean of

• the two best marks of P 2.1, P 2.2 and P 5.1

For the study of the subject mathematics at the LMU Munich the following curriculum results. It also lists the offers of the Mathematical Institute for the free area:

• WP 1: Scientific examination course (6 credit points; preparation, ungraded)
• WP 2.1: Seminar on Teaching Mathematics at Elementary School 2 (3 credit points; presentation and/or elaboration, ungraded)
• WP 2.2: Examination preparation seminar (3 credit points; presentation and/or elaboration, ungraded)

For the free area, 6 credit points must be earned here and thus WP 1 or WP 2 must be selected.

Proof of academic achievement according to § 48 BAföG

Students of mathematics as a teaching subject for the teaching profession at elementary, secondary or grammar schools according to the Lehramtsprüfungsordnung I of 07.11.2002, who require a certificate of achievement according to § 48 BAföG, please contact Dr. Erwin Schörner as the responsible representative at the Institute of Mathematics; in case of substitution this task will be carried out by Prof. Dr. Daniel Rost.

For this certificate to be issued in accordance with § 48 BAföG, proof of the credit points previously acquired in the subject of mathematics must be submitted in addition to the corresponding form, in order to prove the performance normally achieved in the orderly course of study; the following are required

• after the 4th semester at least 27 credit points or
• at least 33 credit points after the 5th semester.

Extended subject Mathematics

When registering for the First State Examination in the Extended subject Mathematics , no credit points need to be proven; however, since the same examination requirements are set as for the teaching subject Mathematics, attendance of all courses in the subject science as well as in the subject didactics Mathematics that are relevant in terms of content for both the written and the oral State Examination examinations is strongly recommended.

Student advisory service

General questions about studying at the LMU Munich can be answered by the Central Student Advisory Service,and for interdisciplinary questions about studying to become a teacher, please contact the Student Advisory Service for Teacher Education at the Munich Center for Teacher Education.

For subject-specific questions regarding the teaching subject mathematics for the teaching profession at secondary schools, please contact the Student Advisory Service at the Department of Mathematics:

• Dr. Erwin Schörner (for specialized science Mathematics)
• Michaela Mayr (for subject didactics Mathematics)

The office hours of the student advisory service take place by prior arrangement.