Mo, 10-12h, SR 226, Hermann-Herder-Str. 10
Exercise session: Fr, 8-10h, SR 404, Ernst-Zermelo-Str. 1
Sit-in exam: date to be announced
Requirements on examinations, assessments and coursework will be described in the supplements of the module handbooks to be published as part of the course cataloque by end of October.
Teacher: Katharina Böcherer-Linder
Language: in German
Mathematics didactic principles and their learning theory foundations and possibilities of teaching implementation (also e.g. with the help of digital media). \\
Theoretical concepts on central mathematical thinking activities such as concept formation, modeling, problem solving and reasoning. \\
Mathematics didactic constructs: Barriers to understanding, pre-concepts, basic ideas, specific difficulties with selected mathematical content. \\
Concepts for dealing with heterogeneity, taking into account subject-specific characteristics particularities (e.g. dyscalculia or mathematical giftedness).\
Levels of conceptual rigour and formalization as well as their age-appropriate implementation.
Required: Basics lectures (Analysis, Linear Algebra)
The course ‘Introduction to Mathematics Education’ is therefore recommended from the 4th semester at the earliest.
(Introduction to) Mathematics Education (2HfB21, MEH21, MEB21)
Introduction to Mathematics Education (MEdual24)
Do, 9-12h, SR 226, Hermann-Herder-Str. 10
Requirements on examinations, assessments and coursework will be described in the supplements of the module handbooks to be published as part of the course cataloque by end of October.
Teacher: Katharina Böcherer-Linder
Language: in German
Exemplary implementations of the theoretical concepts of central mathematical thought processes such as concept formation, modeling, problem solving and reasoning for the content areas of functions and analysis. \\ Barriers to understanding, pre-concepts, basic ideas, specific difficulties for the content areas of functions and analysis. \\ Fundamental possibilities and limitations of media, in particular of computer-aided mathematical tools mathematical tools and their application for the content areas of functions and analysis. Analysis of individual mathematical learning processes and errors as well as development individual support measures for the content areas of functions and analysis.
Introduction to Mathematics Education \
Knowledge about analysis and numerics
Mathematics Education for Specific Areas of Mathematics (MEd18, MEH21, MEB21)
Mi, 11-14h, SR 404, Ernst-Zermelo-Str. 1
Requirements on examinations, assessments and coursework will be described in the supplements of the module handbooks to be published as part of the course cataloque by end of October.
Teacher: Frank Reinhold
Language: in German
Exemplary implementations of the theoretical concepts of central mathematical thought processes such as concept formation, modeling, problem solving and reasoning for the content areas of stochastics and algebra. \\ Barriers to understanding, pre-concepts, basic ideas, specific difficulties for the content areas of stochastics and algebra.\ Basic possibilities and limitations of media, especially computer-based mathematical tools and their mathematical tools and their application for the content areas of stochastics and algebra. and algebra. \\ Analysis of individual mathematical learning processes and errors as well as development individual support measures for the content areas of stochastics and algebra.
Introduction to Mathematics Education \ knowledge from stochastics and algebra
Mathematics Education for Specific Areas of Mathematics (MEd18, MEH21, MEB21)
Seminar: Mi, 15-18h, SR 404, Ernst-Zermelo-Str. 1
Requirements on examinations, assessments and coursework will be described in the supplements of the module handbooks to be published as part of the course cataloque by end of October.
Teacher: Jürgen Kury
Language: in German
Recommended: Basic courses in mathematics
GeoGebra Account (can be created in the seminar)
Supplementary Module in Mathematics Education (MEd18, MEH21, MEB21)
Mathematics education seminars at Freiburg University of Education
For the module "Fachdidaktische Entwicklung", suitable courses can also be completed at the PH Freiburg if places are available there. Please check with Ms. Böcherer-Linder whether courses are suitable, and with the lecturers whether places are available. Courses are usually offered in German.
Teacher: Lecturers of the University of Education Freiburg
Language: in German
Supplementary Module in Mathematics Education (MEd18, MEH21, MEB21)
Module "Research in Mathematics Education"
Part 1: Seminar 'Development Research in Mathematics Education ‒ Selected Topics': Mo, 14-16h, 301, KG 4, PH Freiburg, –please refer to the PH Freiburg course catalogue for any last-minute time or room changes.
Part 2: Seminar 'Research Methods in Mathematics Education': Mo, 10-13h, 010, Pavillon 3, PH Freiburg, starting on 22 December 2025 – Please refer to the PH Freiburg course catalogue for any last-minute time or room changes.
Part 3: Master's thesis seminar: Development and Optimisation of a Research Project in Mathematics Education Appointments by arrangement
Registration: please e-mail to Anselm Strohmaier
Requirements on examinations, assessments and coursework will be described in the supplements of the module handbooks to be published as part of the course cataloque by end of October.
Teacher: Lecturers of the University of Education Freiburg, Anselm Strohmaier
Language: in German
The three related courses of the module prepare students for an empirical Master thesis in mathematics didactics. The course is jointly designed by all professors at the PH with mathematics didactics research projects at secondary levels 1 and 2 and is carried out by one of these researchers. Afterwards, students have the opportunity to start Master thesis with one of these supervisors - usually integrated into larger ongoing research projects.
The first course of the module provides an introduction to strategies of empirical didactic research (research questions, research status, research designs). Students deepen their skills in scientific research and the evaluation of subject-specific didactic research. In the second course (in the last third of the semester) students are introduced to central qualitative and quantitative research methods through concrete work with existing data (interviews, student products, experimental data), students are introduced to central qualitative and quantitative research methods. The third course is an accompanying seminar for the Master thesis.
The main objectives of the module are the ability to receive mathematics didactic research in order to didactic research to clarify questions of practical relevance and to plan an empirical mathematics didactics Master thesis. It will be held as a mixture of seminar, development of research topics in groups and active work with research data. Recommended literature will be depending on the research topics offered within the respective courses. The parts can also be attended in different semesters, for example part~1 in the second Master semester and part~2 in the compact phase of the third Master semester after the practical semester.
Research in Mathematics Education (MEd18, MEH21, MEB21)
Requirements on examinations, assessments and coursework will be described in the supplements of the module handbooks to be published as part of the course cataloque by end of October.
Organisation: Susanne Knies
Language: in German
What characterizes a good tutorial? This question will be discussed in the first workshop and tips and suggestions will be given. Experiences will be shared in the second workshop.
Elective (Option Area) (2HfB21)
Elective (BSc21)
Elective (MSc14)
Elective (MScData24)
Supplementary Module in Mathematics (MEd18)
School Mathematical Aspects of Analysis and Linear Algebra
Mo, 14-16h, SR 404, Ernst-Zermelo-Str. 1
Requirements on examinations, assessments and coursework will be described in the supplements of the module handbooks to be published as part of the course cataloque by end of October.
Teacher: Katharina Böcherer-Linder, Markus Junker
Language: in German
Supplementary Module in Mathematics (MEd18)
High-school Oriented Aspects of Analysis and Linear Algebra (MEdual24)
The seminar is preferably intended for M.Ed. students. Remaining places can be allocated as undergraduate seminar places.
In HISinOne: no course registration, but exam registration until 8 October 2025.
Teacher: Susanne Knies
Assistant: Jonah Reuß
Language: in German
Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)
Supplementary Module in Mathematics (MEd18)
Introduction to Mathematics Education
Mo, 10-12h, SR 226, Hermann-Herder-Str. 10
Tutorial: 2 hours, choose one: Do, 8-10h, SR 404, Ernst-Zermelo-Str. 1, 10-12h, SR 226, Hermann-Herder-Str. 10
Sit-in exam 28.07., 10:00-12:00, SR 226, Hermann-Herder-Str. 10
Teacher: Katharina Böcherer-Linder
Language: in German
Mathematics didactic principles and their learning theory foundations and possibilities of teaching implementation (also e.g. with the help of digital media). \\ Theoretical concepts on central mathematical thinking activities such as concept formation, modeling, problem solving and reasoning. \\ Mathematics didactic constructs: Barriers to understanding, pre-concepts, basic ideas, specific difficulties with selected mathematical content. \\ Concepts for dealing with heterogeneity, taking into account subject-specific characteristics particularities (e.g. dyscalculia or mathematical giftedness).\\ Levels of conceptual rigour and formalization as well as their age-appropriate implementation.
Required: Analysis~I, Linear Algebra~I
(Introduction to) Mathematics Education (2HfB21, MEH21, MEB21)
Introduction to Mathematics Education (MEdual24)
Mathematics Education ‒ Functions and Analysis
Seminar: Mi, 14-17h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Jürgen Kury
Language: in German
Exemplary implementations of the theoretical concepts of central mathematical thought processes such as concept formation, modeling, problem solving and reasoning for the content areas of functions and analysis. \\ Barriers to understanding, pre-concepts, basic ideas, specific difficulties for the content areas of functions and analysis. \\ Fundamental possibilities and limitations of media, in particular of computer-aided mathematical tools mathematical tools and their application for the content areas of functions and analysis. Analysis of individual mathematical learning processes and errors as well as development individual support measures for the content areas of functions and analysis.
Required: Introduction to Mathematics Education, Knowledge about analysis and numerics
Mathematics Education for Specific Areas of Mathematics (MEd18, MEH21, MEB21)
Mathematics Education ‒ Probability Theory and Algebra
Seminar: Mi, 11-14h, SR 403, Ernst-Zermelo-Str. 1
Attention: Change of time and room!
Teacher: Frank Reinhold
Language: in German
Exemplary implementations of the theoretical concepts of central mathematical thought processes such as concept formation, modeling, problem solving and reasoning for the content areas of stochastics and algebra. \\ Barriers to understanding, pre-concepts, basic ideas, specific difficulties for the content areas of stochastics and algebra.\ Basic possibilities and limitations of media, especially computer-based mathematical tools and their mathematical tools and their application for the content areas of stochastics and algebra. and algebra. \\ Analysis of individual mathematical learning processes and errors as well as development individual support measures for the content areas of stochastics and algebra.
Required: Introduction to Mathematics Education, knowledge from stochastics and algebra.
Mathematics Education for Specific Areas of Mathematics (MEd18, MEH21, MEB21)
Mathematics education seminar: High School Maths = University Maths ± x
Seminar: Fr, 8-11h, Seminar für Ausbildung und Fortbildung der Lehrkräfte Freiburg, Oltmannstr. 22
Teacher: Holger Dietz
Language: in German
As a high school student, you have no idea what it means to study mathematics. While studying mathematics at the university, the imagination of what it means to teach mathematics at school is similarly vague . This seminar would like to provide concrete insights into the practice of math teaching and tries to build on experiences e.g. B. from the practical semester.
Selected contents and aspects of mathematics lessons (from worksheet to the extension of number systems) are analyzed and questioned – not only from the point of view of the scientist, but also from the point of view of the lecturers, teachers, pupils. Mathematically simple topics often hide unexpected didactic challenges. Therefore, in addition to dealing with existing content and framework conditions, teaching should also be planned and – if possible – carried out at the school.
Basic lectures
Supplementary Module in Mathematics Education (MEd18, MEH21, MEB21)
Mathematics education seminars at Freiburg University of Education
For the module "Fachdidaktische Entwicklung", suitable courses can also be completed at the PH Freiburg if places are available there. Please check with Ms. Böcherer-Linder whether courses are suitable, and with the lecturers whether places are available. Courses are usually offered in German.
Teacher: Lecturers of the University of Education Freiburg
Language: in German
Supplementary Module in Mathematics Education (MEd18, MEH21, MEB21)
Module "Research in Mathematics Education"
Part 1: Seminar 'Development Research in Mathematics Education ‒ Selected Topics': Mo, 14-16h, Mensa 3 / Zwischendeck SR 032, PH Freiburg, – please refer to the PH Freiburg course catalogue for any last-minute time or room changes.
Part 2: Seminar 'Research Methods in Mathematics Education': Mo, 10-13h, Mensa 3 / Zwischendeck SR 032, PH Freiburg, –please refer to the PH Freiburg course catalogue for any last-minute time or room changes.
Part 3: Master's thesis seminar: Development and Optimisation of a Research Project in Mathematics Education Appointments by arrangement
Registration: see course descriptions
Dates and rooms can be found in the course catalogue of the PH Freiburg
Teacher: Lecturers of the University of Education Freiburg, Anselm Strohmaier
Language: in German
The three related courses of the module prepare students for an empirical Master thesis in mathematics didactics. The course is jointly designed by all professors at the PH with mathematics didactics research projects at secondary levels 1 and 2 and is carried out by one of these researchers. Afterwards, students have the opportunity to start Master thesis with one of these supervisors - usually integrated into larger ongoing research projects.
The first course of the module provides an introduction to strategies of empirical didactic research (research questions, research status, research designs). Students deepen their skills in scientific research and the evaluation of subject-specific didactic research. In the second course (in the last third of the semester) students are introduced to central qualitative and quantitative research methods through concrete work with existing data (interviews, student products, experimental data), students are introduced to central qualitative and quantitative research methods. The third course is an accompanying seminar for the Master thesis.
The main objectives of the module are the ability to receive mathematics didactic research in order to didactic research to clarify questions of practical relevance and to plan an empirical mathematics didactics Master thesis. It will be held as a mixture of seminar, development of research topics in groups and active work with research data. Recommended literature will be depending on the research topics offered within the respective courses. The parts can also be attended in different semesters, for example part~1 in the second Master semester and part~2 in the compact phase of the third Master semester after the practical semester.
Research in Mathematics Education (MEd18, MEH21, MEB21)
Introduction to Mathematics Education
Mo, 10-12h, SR 226, Hermann-Herder-Str. 10
Tutorial: 2 hours, choose one: Fr, 8-10h, SR 127, Ernst-Zermelo-Str. 1, 14-16h, SR 127, Ernst-Zermelo-Str. 1
Sit-in exam 10.02., 08:15-10:00
Teacher: Katharina Böcherer-Linder
Language: in German
Mathematics didactic principles and their learning theory foundations and possibilities of teaching implementation (also e.g. with the help of digital media). \\ Theoretical concepts on central mathematical thinking activities such as concept formation, modeling, problem solving and reasoning. \\ Mathematics didactic constructs: Barriers to understanding, pre-concepts, basic ideas, specific difficulties with selected mathematical content. \\ Concepts for dealing with heterogeneity, taking into account subject-specific characteristics particularities (e.g. dyscalculia or mathematical giftedness).\\ Levels of conceptual rigour and formalization as well as their age-appropriate implementation.
Required: Analysis~I, Linear Algebra~I
(Introduction to) Mathematics Education (2HfB21, MEH21, MEB21)
Mathematics Education ‒ Functions and Analysis
Seminar: Do, 9-12h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Katharina Böcherer-Linder
Language: in German
Exemplary implementations of the theoretical concepts of central mathematical thought processes such as concept formation, modeling, problem solving and reasoning for the content areas of functions and analysis. \\ Barriers to understanding, pre-concepts, basic ideas, specific difficulties for the content areas of functions and analysis. \\ Fundamental possibilities and limitations of media, in particular of computer-aided mathematical tools mathematical tools and their application for the content areas of functions and analysis. Analysis of individual mathematical learning processes and errors as well as development individual support measures for the content areas of functions and analysis.
Required: Introduction to Mathematics Education, Knowledge about analysis and numerics
Mathematics Education for Specific Areas of Mathematics (MEd18, MEH21, MEB21)
Mathematics Education ‒ Probability Theory and Algebra
Seminar: Fr, 9-12h, SR 226, Hermann-Herder-Str. 10
Teacher: Anika Dreher
Language: in German
Exemplary implementations of the theoretical concepts of central mathematical thought processes such as concept formation, modeling, problem solving and reasoning for the content areas of stochastics and algebra. \\ Barriers to understanding, pre-concepts, basic ideas, specific difficulties for the content areas of stochastics and algebra.\ Basic possibilities and limitations of media, especially computer-based mathematical tools and their mathematical tools and their application for the content areas of stochastics and algebra. and algebra. \\ Analysis of individual mathematical learning processes and errors as well as development individual support measures for the content areas of stochastics and algebra.
Required: Introduction to Mathematics Education, knowledge from stochastics and algebra.
Mathematics Education for Specific Areas of Mathematics (MEd18, MEH21, MEB21)
Mathematics education seminar: Media Use in Teaching Mathematics
Seminar: Mi, 15-18h, SR 127, Ernst-Zermelo-Str. 1
Teacher: Jürgen Kury
Language: in German
The use of teaching media in mathematics lessons wins both at the level of lesson planning and lesson realization in importance. Against the background of constructivist learning theories shows that the reflective use of computer programs, among other things mathematical concept formation in the long term. For example experimenting with computer programs allows mathematical structures to be discovered, without this being overshadowed by individual routine operations (such as term transformation) would be covered up. This has far-reaching consequences for mathematics lessons. For this reason, this seminar aims to provide students the necessary decision-making and action skills to prepare future mathematics teachers for their professional activities. Starting from initial considerations about lesson planning, computers and tablets with regard to their respective didactic potential and tested with learners during a classroom visit. The exemplary systems presented are:
The students should develop teaching sequences, which will then be tested and reflected on with pupils (where this will be possible).
Recommended: Basic courses in mathematics
Supplementary Module in Mathematics Education (MEd18, MEH21, MEB21)
Mathematics education seminars at Freiburg University of Education
For the module "Fachdidaktische Entwicklung", suitable courses can also be completed at the PH Freiburg if places are available there. Please check with Ms. Böcherer-Linder whether courses are suitable, and with the lecturers whether places are available. Courses are usually offered in German.
Teacher: Lecturers of the University of Education Freiburg
Language: in German
Supplementary Module in Mathematics Education (MEd18, MEH21, MEB21)
Module "Research in Mathematics Education"
Part 1: Seminar 'Development Research in Mathematics Education ‒ Selected Topics': Mo, 14-16h, Raum noch nicht bekannt, PH Freiburg
Part 2: Seminar 'Research Methods in Mathematics Education': Mo, 16-19h, Raum noch nicht bekannt, PH Freiburg
Part 3: Master's thesis seminar: Development and Optimisation of a Research Project in Mathematics Education
Registration: see course descriptions
Teacher: Lecturers of the University of Education Freiburg, Frank Reinhold
Language: in German
The three related courses of the module prepare students for an empirical Master thesis in mathematics didactics. The course is jointly designed by all professors at the PH with mathematics didactics research projects at secondary levels 1 and 2 and is carried out by one of these researchers. Afterwards, students have the opportunity to start Master thesis with one of these supervisors - usually integrated into larger ongoing research projects.
The first course of the module provides an introduction to strategies of empirical didactic research (research questions, research status, research designs). Students deepen their skills in scientific research and the evaluation of subject-specific didactic research. In the second course (in the last third of the semester) students are introduced to central qualitative and quantitative research methods through concrete work with existing data (interviews, student products, experimental data), students are introduced to central qualitative and quantitative research methods. The third course is an accompanying seminar for the Master thesis.
The main objectives of the module are the ability to receive mathematics didactic research in order to didactic research to clarify questions of practical relevance and to plan an empirical mathematics didactics Master thesis. It will be held as a mixture of seminar, development of research topics in groups and active work with research data. Recommended literature will be depending on the research topics offered within the respective courses. The parts can also be attended in different semesters, for example part~1 in the second Master semester and part~2 in the compact phase of the third Master semester after the practical semester.
Research in Mathematics Education (MEd18, MEH21, MEB21)