Mathematics for Teaching

You want to qualify as a teacher for mathematics for a grammar school or vocational colleges? Then the Technical University of Munich is just right for you. Here you can read all the important information for this training.   

Maths was your favorite subject at school, you like working with others and love explaining things? If you are  also fascinated by mathematical coherencies and enjoy proving and solving problems in a logical manner yourself - beyond simple school problem-solving "by-the-rules" - then you have very good prerequisites for studying to become a mathematics teacher.


Prof. Dr. Silke Rolles

Prof. Dr. Silke Rolles

Coordinator of the mathematics courses for the teaching profession

I study mathematics on teaching at the TUM ...

Our students will tell you why they are studying mathematics for teaching - and why TUM is just the right university for it.

Dominik Diermann, Porträt

"Great support, helpful staff and the really good idea, to "pick up" the students in mathematics from the school. The introductions to mathematics slowly intorduce the first year students to higher education mathematics - and you will not be thrown in at the deep end with lectures in linear algebra and analysis in the first semester. This is very student-friendly and prepares optimally for mathematical work such as proofs etc."

Dominik Diermann, studies Mathematics for Teaching at the TUM

Corinna Vollei, Porträt

"I like the fact that there are teacher training-specific mathematics lectures at the TUM. Because of that, the professors are able to better relate the subject matter to school mathematics and to customize their lectures to the needs of future teachers. These special courses led to that I have discovered my love for mathematics and especially for evidence (again)."

Corinna Vollei, studies Mathematics for Teaching at the TUM

David Jobst, Porträt

"Logical thinking, dealing with mathematical formalism and different perspectives on the same topic - that's what I learned in my studies of mathematics on teaching at the TUM. I like it best to edit exercise sheets and to puzzle about the solutions. From a given, well-placed task you can learn a lot and it can be entertaining in a certain way."

David Jobst, studies Mathematics for Teaching at the TUM

Sabrina Schwarzmeier, Porträt

""I want to become a maths teacher to inspire children and adolescents for mathematics and to give them all the basics for their later studies in the natural sciences and technology. At the TUM, I particularly like the fact that there is a separate department for the teacher training courses and thus specific lectures in mathematics. Since I can do the bachelor's and master's degrees in addition to the state examination, I still have the opportunity to switch into specialized science and pursue an academic or business career."

Sabrina Schwarzmeier, studies Mathematics for Teaching at the TUM

Dominik Bergmann, Porträt

"Ich wollte Lehramt in den beiden Fächern studieren, an denen ich selbst am meisten Spaß und Interesse hatte: Mathematik und Chemie. Da die Fächerkombination selten ist, habe ich mich an der TUM beworben. Als Lehrer will ich das Bild ändern, das viele von der Mathematik haben. Sätze wie " Mathe war mein Hassfach", "Mathe habe ich nie verstanden“ oder "Wofür brauche ich das?" möchte ich aus der Welt schaffen - zumindest bei meine*n zukünftigen Schüler*innen."

Dominik Bergmann, studiert Mathematik-Lehramt an der TUM

Mathematics Teacher for Grammar School

If your mission is to make young pupils enthusiastic about maths and teach them all the knowledge necessary for further studies in the field of natural sciences, then the TUM study programm "Natural science education" with a focus on mathematics is just right for you.  

The teacher training programm for grammar school level successfully combines the learning of subject specific knowledge with the acquisition of didactic and educational skills, so that you can develop to be a professional mathematics teacher, with the ability to motivate pupils in your lessons and ignite their enthusiasm for maths. 

Teaching concept

The teacher training programm builds on the foundations laid in your A-level studies and special courses have been designed to improve your knowledge to a scientific level. Matching tutorials help you to review the curriculum and to solve problems. This provides a solid foundation for your state examinations and the subsequent probationary teaching period in the schools.  

Introduction to Mathematics is unique in Bavaria and eases your start in your studies. It builds up on the foundations laid in your A-level studies, and deepens your knowledge on a scientific level. Special teacher training lectures and supplementary units prepare you specifically for your state examinations and the subsequent probationary teaching period in the schools.  

In the study program "Natural science education - Teacher training for grammar schools" students of mathematics profit from an optimal staff-student ratio in the courses. As a result, you have the opportunity to ask questions whenever they arise, and are in regular exchange with the teachers and fellow students. In the lectures, practice classes and supplementary units, our dedicated lecturers establish a strong connection to the practical aspects of teaching, so that you learn both competencies: understanding university-level math and the ability to teach school mathematics appropriately.  

Subject combinations with mathematics

In the study program "Natural science education" there are 4 subjects which can be combined with mathematics:

  • Mathematics / Chemistry
  • Mathematics / Informatics
  • Mathematics / Physics
  • Mathematics / Sport 

Mathematics for Grammar School teachers: study contents

In the mathematics study program for grammar school teachers, you train thinking analytically and combinatorial. You approach problems from a completely new perspective and independently discover interesting ideas for solutions. You learn how to analyze mathematical proofs, how to present your solutions in an understandable manner and how to lead others through your chain of thoughts. Furthermore, you learn how digital media and computers can be optimally used to support your teaching methods. 

Amongst the subject-specific content of the program are amongst others elementary number theory, algebra, analysis, stochastics and geometry.  In order to impart a wide basis of knowledge, the mathematics part of your studies is structured as follows:  

Subject structure of the mathematics programm -  teacher training for grammar schools. 

You are also schooled in didactics, to help you in preparing your knowledge for lessons and in developing suitable exercises for your future pupils. In addition, we support you in developing your communication skills, so that you are able for describe mathematical content precisely, understandably and reasonably.  


PD Dr. Carsten Lange

Coordinator and subject advisor for mathematics teaching at high schools

Email: lange (at)

Further Information

Natural Science Education - teaching for grammar schools at the TUM School of Education

Information and material on Staatsexamen

Teaching courses

Here you can find the current lecture plan.

Mathematics for Teachers at Vocational Colleges

Awaken an interest in mathematics, teach others something new, and create change through education -  these are all good reasons for studying maths in the field "Vocational education - teacher for vocational colleges".   The study programm offers you the opportunity to specialise in a number of different fields. 

You receive an excellent scientific education for being a teacher at a vocational college, and also the prerequisites for successfully completing your on-the-job probationary teaching period. The probationary teaching period begins directly after completion of your Master of Education. 

Well conceived study structures

The aim of the study program "Vocational education - teacher for vocational colleges" is to develop yourself into a professional teacher, who is in the position to plan and give motivational, challenging and highly qualitative lessons. To this aim, the Bachelor and Master Program is divided into 3 parts:   

  1. a vocational subject area
  2. a general educational teaching subject
  3. social and educational sciences

This structure prepares you perfectly for the interdisciplinary range of duties which you will cover as a teacher at a vocational college. You complete the program with a Master’s Degree and do not need to take the first State Examination. 

Vocational subject areas combined with mathematics

In the study program "Vocational education - teacher for vocational colleges" you choose one of the following six subject areas, which are appropriate to particular occupational groups:

  • Agricultural economics
  • Building technology
  • Electro technology
  • Food sciences and home economics
  • Health and care sciences
  • Metal technology

Each of these subject areas can be combined with mathematics as a teaching subject.

In choosing mathematics, you sharpen your profile and extend your teaching spectrum within vocational colleges. Alongside the classical vocational colleges, there are vocational preparatory classes for students without qualifications, vocational colleges for intermediary qualifications, subject-specific colleges, further educations colleges and vocational grammar schools, all of which are regularly looking for teachers of mathematics. 

Mathematics for vocational colleges: study content and structure

Subject structure of the maths programm for teachers at vocational colleges 

In the mathematics part of your study programm, you attain not only broad and extensive mathematical knowledge, but also the capability to teach the important foundations of mathematics to your future pupils.


Dr. C.-F. Kreiner

Dr. Carl-Friedrich Kreiner
Coordinator and advisor for mathematics studies in vocational education

Further Information

Vocational education - teacher for vocational colleges at TUM School of Education

Teaching courses

Here you can find the current lecture plan.

Vocational applicants 

For engineers

You already have a qualification in engineering and would  ike to become a teacher at a vocational college? Then take look at our program  Master for vocational education, integral for engineers.

For business scientists

You have studied business administration or similar, and are interested in educational jobs or teaching? Inform yourself about our Masters program Business education.

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