Master of Education in Mathematics (regulations of 2018)

Here you find information about Mathematics in our master of Education degree programme. For further information, please contact the academic advice of the Maths department (studienberatung@math.uni-freiburg.de).
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Short description of the degree program

The degree program has an official duration of two years. It is taught in German language (in mathematics). The study program consists of two equal subjects, each with subject-specific science and subject-specific didactics, as well as educational sciences, a practical school semester and a master’s thesis.

Beispielhafter Studienverlauf im Master-of-Education-Studiengang Mathematik

  • In mathematics, the content required for the teaching profession at grammar schools is taught in subject-specific science and subject-specific didactics, which go beyond the two-major bachelor’s program. Elective options allow for adequate preparation of both subject-specific and subject-specific didactic master's theses, in subject-specific science in a focus area of the student's own choice.
  • Educational sciences and the practical school semester together form a main component of the program.
    The master’s thesis can be written in one of the two subjects in subject-specific science or subject-specific didactics or in educational science.
  • List of the subjects with which mathematics can be combined at the University of Freiburg.
    As a second major subject music can also be studied at a conservatory or fine arts at an art college.
  • Mathematics can also be studied as an additional subject with 90 or 120 ECTS credits.

Application

Start of studies in winter semester is possible in all subjects.
Start of studies in the summer semester is only possible if both subjects allow it. Mathematics allows it.

Applications are submitted centrally via the university. The application deadline is July 15 for the winter semester and January 15 for the summer semester.

Important note for applicants with a degree other than the "Polyvalent Two-Major Bachelor" of the University of Freiburg:
Due to the requirements of the Ministry of Education and Cultural Affairs, applicants from other countries usually must make up achievements from our bachelor’s program - even if they have a teaching-related bachelor’s degree and independent of any admission to the M.Ed. program that may already have taken place. Please be sure to contact the student advisor of your two subjects as early as possible to clarify the extent of the achievements that may have to be made up!

Admission

The admission requirement for the subject Mathematics in the M.Ed. program is

  • either a "first degree at a German university in a teaching-related bachelor's degree program for a teaching profession type of the framework agreements of the Standing Conference of the Ministers of Education and Cultural Affairs of the Länder (Kultusministerkonferenz) in the subject of mathematics or in an equivalent degree program of at least three years at a German or foreign university"
    ( For example, the two-major bachelor's degree program at the University of Freiburg)
  • or – in exceptional cases – a "degree in a bachelor's degree program at a German university or in an equivalent degree program of at least three years at a German or foreign university, which includes subject-specific and subject-specific didactic study components in the subject of mathematics and another subject listed in § 6 paragraph 5 RahmenVO-KM, educational science study components and practical school studie", whereby any missing and therefore to be made up subject-specific qualifications and practical school studies together may not exceed a performance volume of 50 ECTS credits.
  • Foreign applicants also need sufficient proof of German language skills (as a guide: level C1).
  • All applicants must have completed the Online Self-Reflection on Teacher Education and the Teaching Profession (OSEL) or an equivalent orientation procedure.

This page is for informational purposes only. Only the admission regulations are legally binding.

Important note for applicants with a degree other than the "Polyvalent Two Major Bachelor" of the University of Freiburg:
Due to the requirements of the Ministry of Education and Cultural Affairs, applicants from outside of Freiburg usually have to make up achievements from our bachelor’s program - even if they have a teaching-related bachelor's degree and regardless of any admission to the M.Ed. program that may already have taken place. Please be sure to contact the student advisor of your two subjects early on to clarify the extent of the achievements that may have to be made up!

Program structure

The study program comprises 120  ECTS points (standard period of study 4 semesters) and is divided into the following areas:

  • subject-specific science (17 points per subject)
  • subject didactics (10 points per subject)
  • Educational science (35 points)
  • Practical school semester (16 points)
  • Master's thesis in educational sciences, subject didactics, or subject science (15 points)
In the area of subject didactics and educational sciences, the university cooperates with the PH Freiburg.

Exemplary course of studies at the beginning of the winter semester:

Beispielhafter Studienverlauf im Master-of-Education-Studiengang Mathematik

This plan is only an orientation guide! Except for the admission criteria for the master’s thesis, there are no sequence requirements for the mathematics courses. (For elective courses, content-related prerequisites may have to be observed). In case of scheduling conflicts due to the combination of subjects, you must be flexible in planning your studies; the same applies if you start your studies in the summer semester. In this case, you can follow the semester sequence 2 – 3 – 4 – 1.

Curriculum with explanations

Sorry, there is not yet an English translation for this page.

Welche Veranstaltungen für die Module mit Wahlmöglichkeiten in Frage kommen, ist semesterweise beschrieben in

Veranstaltungen, die bereits im zugrundeliegenden Bachelor-Studium absolviert wurden, dürfen nicht gewählt werden.
Für die Wahl der Vorlesung im Modul „Mathematische Vertiefung“ hilfreich ist der

Modul (ECTS-Punkte) Bestandteile / Bemerkungen Semesterangebot
Fachwissenschaft Mathematik (17 ECTS-Punkte)
Pflicht Erweiterung der Analysis (5) gleichnamige 2-stündige Vorlesung mit 2-stündigen Übungen jedes Wintersemester
Abschlussklausur im Wintersemester
Pflicht Mathematische Ergänzung (3) zur Wahl:
  • fachwissenschaftliches Seminar
  • 2-stündige Praktische Übung
  • 2-stündige Vorlesung (die dann aber vollständig, d.h. ggf. mit angebotener Übung, absolviert werden muss)
  • zukünftiges Angebot anderer Veranstaltungen
Proseminare sind nicht erlaubt. 		jedes Semester
zur Wahl Mathematische Vertiefung (9) eine 4-stündige Vorlesung mit 2-stündigen Übungen, z.B.
  • „Analysis III“
  • „Elementare Differentialgeometrie“
  • „Funktionentheorie“
  • „Kommutative Algebra“
  • „Mathematische Logik“
  • „Topologie“
jedes Semester
Mündliche Abschlussprüfung individuelle Absprache
Wissenschaftliches Arbeiten (9)
(geeignet für Studierende, die eine fachwissenschaftliche Arbeit in Mathematik schreiben möchten)		 Betreutes Selbststudium zur Einarbeitung in die Thematik einer fachwissenschaftlichen Master-Arbeit Angebote nach Absprache,
in jedem Semester möglich
Mündliche Abschlussprüfung individuelle Absprache
Fachdidaktik Mathematik (10 ECTS-Punkte)
Pflicht Fachdidaktik der mathematischen Teilgebiete (6) „Didaktik der Funktionen und der Analysis“ (Übung und Seminar, 3-stündig) geplant: jedes Semester
„Didaktik der Stochastik und der Algebra“ (Übung und Seminar, 3-stündig) geplant: jedes Semester
Abschlussklausur jedes Semester
zur Wahl Fachdidaktische Entwicklung (4) ein Fachdidaktikseminar (2 bis 3-stündiges Seminar) Angebote üblicherweise in jedem Semester
Fachdidaktische Forschung (4)
(notwendig für Studierende, die eine fachdidaktische Arbeit in Mathematik schreiben möchten, und nur für diese angeboten)
Veranstaltungen der PH Freiburg, begrenzte Kapazität!		 "Fachdidaktische Entwicklungsforschung zu ausgewählten Schwerpunkten" jedes Semester
(z.B. im 2. Fachsemester)
„Methoden der mathematikdidaktischen Forschung“ (Blockveranstaltung) jedes Semester
(z.B. im 3. Fachsemester nach dem Praxissemester)
„Entwicklung und Optimierung eines fachdidaktischen Forschungsprojekts“ (1-stündiges Begleitseminar zur Master-Arbeit) jedes Semester
(z.B. im 4. Fachsemester)
Master-Arbeit (15 ECTS-Punkte)
Voraussetzung für die Zulassung zur Master-Arbeit sind stets 60 im Studiengang absolvierte ECTS-Punkte.
zur Wahl Master-Arbeit in Fachwissenschaft Mathematik Fachwissenschaftliche Arbeiten in Mathematik werden von allen Professoren und Privatdozenten des Mathematischen Instituts betreut. kann jederzeit geschrieben werden
(frühzeitige Absprache ist wünschenswert)
Master-Arbeit in Fachdidaktik Mathematik Fachdidaktische Arbeiten in Mathematik werden in der Regel von Professoren der PH Freiburg betreut. Voraussetzung ist, dass das Modul „Fachdidaktische Forschung“ absolviert wurde. Begrenzte Betreuungs­kapazitäten (ca. 10 Studierende pro Jahr). in jedem Semester (die ersten beiden Teile des Moduls "Fachdidaktische Forschung" müssen absolviert sein)
Master-Arbeit in Bildungswissenschaften oder im zweiten Fach