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The programme is designed for the education of mathematics teachers in high schools. The structure and scope of its pedagogical courses meet the requirements for teaching of mathematics as an independent subject on all levels of pre-university education. Graduates of the programme can continue their studies in the third cycle.

IMPORTANT: The curriculum below applies to students who enrolled in the program in the academic year 2024/25 or later. For students enrolled before this year, who progress regularly, the curriculum according to the previous program applies, which can be accessed at the following link.

Level:
2
Number of years:
5
Credits per year:
60
Duration:
5 years (10 semesters), total of 300 ECTS credits
Professional title:
Graduates obtain the title magister profesor matematike/magistrica profesorica matematik, abbreviated to mag. prof. mat.
Admission requirements

Entry to the programme is open to anyone who has

a) passed the general matura,
b) passed the vocational matura examination in any four-year secondary school programme and the general matura examination in mathematics,
c) who completed any four-year secondary school programme before 1 June 1995.

All applicants must demonstrate at the time of application that they have a B2 level of Slovenian according to the Common European Framework of Reference for Languages (CEFR) by means of an appropriate certificate.

Appropriate evidence of this entry requirement is:

  • a certificate of having passed the B2 level examination in Slovene or equivalent,
  • a certificate of completion of primary school in the Republic of Slovenia or of completion of a foreign primary school with Slovenian as the language of instruction,
  • a matriculation certificate or a certificate of the final year of a secondary vocational education programme, showing that the subject Slovenian language has been passed,
  • a certificate of completion of bilingual (Slovene and foreign language) secondary education or a certificate of completion of foreign secondary education with Slovene as the language of instruction,
  • a diploma of higher education in the Republic of Slovenia in the study programme and a certificate (declaration) that the candidate has completed the programme in the Slovene language.

Candidates who are taking (or have taken) the general matura or vocational matura in the Republic of Slovenia do not need to submit proof of Slovenian language proficiency; the required information is provided to the Higher Education Admissions Office by the National Examination Centre.

Selection criteria in the event of limited enrolment

In case the number of applicants exceeds the maximum availability, the applicants are selected according to their final matura (or vocational matura) grade, their mathematics matura (or vocational matura) grade, their grade point average (GPA) in the last two years of secondary school, and their final mathematics grades in the last two years of secondary school. These are weighted in the following way.

Applicants under a)

  • Matura certificate grade (30% of points),
  • Matura mathematics exam grade (30% of points),
  • GPA in the 3rd and 4th years of secondary school (20% of points),

Final grade in mathematics in the 3rd and 4th years of secondary school (20% of points);

Applicants under b)

  • Vocational matura grade (20% of points),
  • Matura mathematics exam grade (40% of points),
  • GPA in the 3rd and 4th years of secondary school (10% of points),
  • Final grade in mathematics in the 3rd and 4th years of secondary school (30% of points);

Applicants under c)

  • Final examination grade (30% of points),
  • Mathematics final examination grade or mathematics grade in the 4th year of secondary school in case of exemption from the final exam (30% of points),
  • GPA in the 3rd and 4th years of secondary school (20% of points),
  • Final mathematics grade in the 3rd and 4th years of secondary school (20% of points).
Criteria for recognising knowledge and skills obtained prior to enrolment in the programme

Students may apply for validation of competences acquired previously by means of various forms of education if their competences match those of one or more courses offered within this study programme.

In a formal written request submitted to the Department of Mathematics, the applicant must specify the course(s) whose competences he or she had already mastered, and attach official transcripts proving it. When considering the possible validation of competences corresponding to a particular course, the department study committee bases its decision on a comparison of the duration of the educational process and the scope of the acquired competences with the respective components of the course(s) to which the request pertains.

If the study committee decides to validate the previously acquired competences, the student is awarded all ECTS credits that correspond to the respective course(s).

Conditions for advancement under the programme

Enrolment in Year 1 is granted upon admission. For enrolment in the next study year it is necessary to earn 50 ECTS credits from courses and exams in the current study year. In addition to the credit quota, the completions of the following exams are obligatory:

  • For enrolment in Year 2: Analysis 1, Algebra 1, Computer practical.
  • For enrolment in Year 3: all exams from Year 1, Analysis 2a, Analysis 2b, Algebra 2.
  • For enrolment in Year 4: all exams from Years 1 and 2, Analysis 3.
  • For enrolment in Year 5: all exams from Years 1, 2 and 3.

For re-enrolment in the same study year, a student needs to earn:

  • at least half of all possible credits of the current study year (30 ECTS credits), and
  • all credits from the previous study years.

Re-enrolment is only possible once. A change of the study programme counts as re-enrolment.

To graduate, students need to complete all exams, pass the final exam, and submit and defend a thesis.

Conditions for transferring between programmes

It is possible to transfer from other study programmes. The appropriate year of study as well as other transfer requirements are determined on the basis of the programme the student is transferring from. The exact conditions for finishing the programme are determined by the department study committee.

Classification
  • KLASIUS-SRV: Masters education (second Bologna cycle)/Master (second Bologna cycle)
  • ISCED: Teacher training and education science
  • KLASIUS-P: Training for teachers in natural science subjects
  • KLASIUS-P-16: Teacher training with subject specialisation
  • Frascati: Natural Sciences
  • SOK level: 8
  • EOK level: 7
  • EOVK level: Second cycle

Curriculum

P = lecture and seminar hours per week
V = theoretical and laboratory exercise hours per week
ECTS = credit points

1. year
compulsory
1. sem. 2. sem.
Course ECTS P/V P/V
Algebra 1 15 3/3 3/3
Analysis 1 20 4/4 4/4
Didactics of mathematics 1 8 0/0 4/2
Elective course 5 1/3 1/3
Logic and sets 6 2/2 0/0
Computer laboratory 6 1/3 0/0
2. year

* In a two-year cycle, the following courses alternate:

  • Software in teaching (even years) and Psychology of learning and teaching (odd years)
3. year

* In a two-year cycle, the following courses alternate:

  • Software in teaching (even years) and Psychology of learning and teaching (odd years)
  • Elective (B1) (even years) and Pedagogy with andragogy (odd years)
  • Physics 2 (even years) and Didactics of mathematics 2 (odd years)
  • General elective (even years) and Didactics 1 (odd years)
  • Statistics in school (even years) and Astronomy (odd years)

Remark: General elective may be any course accredited at a member institution of University of Ljubljana.

4. year

* In a two-year cycle, the following couses alternate:

  • Physics 2 (even years) and Didactics of mathematics 2 (odd years)
  • Elective (B1) (even years) and Pedagogy with andragogy (odd years)
  • Statistics in school (even years) and Astronomy (odd years)
  • General elective (even years) and Didactics 1 (odd years)
  • History of mathematics (even years) and Mathematical horizons (odd years)
  • Symbolic computation and dynamic geometry (even years) and Modern trends in the teaching of mathematics (odd years)
  • Elective (B) (even years) and Mathematics for gifted students (odd years)

Remark: General elective may be any course accredited at a member institution of University of Ljubljana.

5. year

* In a two-year cycle, the following courses alternate:

  • History of mathematics (even years) and Mathematical horizons (odd years)
  • Symbolic computation and dynamic geometry (even years) and Modern trends in the teaching of mathematics (odd years)
  • Elective (B) (even years) and Mathematics for gifted students (odd years)

** As a mathematical elective course a student may choose any course from the groups M1-M5 and R1 offered in the master's 2nd cycle programme in Mathematics at UL FMF.

Remark: General elective may be any course accredited at a member institution of University of Ljubljana.

1. year
electives
1. sem. 2. sem.
Course ECTS P/V P/V
Introductory seminar A 5 2/3 0/3
Introductory seminar B 5 0/3 2/3
3., 4. year
Electives Group B1
1. sem. 2. sem.
Course ECTS P/V P/V
Science horizons 5 3/1 0/0
Physics project laboratory 3 0/2 0/0
Theoretical physics 7 4/2 0/0
4., 5. year
Elective pedagodical courses at the Faculty of Philosophy
1. sem. 2. sem.
Course ECTS P/V P/V

Each year the courses offered are determined in agreement with the Faculty of Philosophy.

Pedagogical electives
1. sem. 2. sem.
Course ECTS P/V P/V
Teaching mathematics and physics in English 5 2/2 0/0

This course is offered in even years.

The selection of courses is approved by the Study committee of Department of Mathematics.