Mathematics Education

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.

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

Candidates without a Matura certiificate from a Slovenian instituion must demonstrate knowledge of Slovenian (level B2 of Common European Framework of Reference for Languages).

Admission to the study programme is open to either: a) Holders of the matura certificate (or an equivalent degree from a foreign institution).

b) Holders of the vocational matura certificate obtained in any of the four-year high school programmes (or an equivalent degree from a foreign institution). In this case, an additional examination in one of the general matura subjects different from those of the vocational matura is required. Either one of the vocational matura subjects or the additional one must be mathematics.

c) Holders of the final examination certificate obtained in any of the four-year high school programmes prior to 1 June 1995.

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 high school, and their final mathematics grades in the last two years of high 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 high school (20% of points),

Final grade in mathematics in the 3rd and 4th years of high 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 high school (10% of points),
  • Final grade in mathematics in the 3rd and 4th years of high 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 high school in case of exemption from the final exam (30% of points),
  • GPA in the 3rd and 4th years of high school (20% of points),
  • Final mathematics grade in the 3rd and 4th years of high 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 54 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, Point-set topology.
  • 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 14 3/3 3/3
Analysis 1 18 4/4 4/4
Physics 1 6 0/0 3/3
Elective course 2 0/0 1/2
Elective course 2 1/2 0/0
Logic and sets 6 2/2 0/0
Computer laboratory 6 1/3 0/0
Introduction to programming 6 0/0 2/3
2. year
compulsory
1. sem. 2. sem.
Course ECTS P/V P/V
Affine and projective geometry 5 0/0 2/2
Algebra 2 10 2/2 2/2
Analysis 2a 8 4/3 0/0
Analysis 2b 8 0/0 4/3
Astronomy * 7 2/1 2/1
Discrete mathematics 1 5 0/0 2/2
Elementary geometry 6 0/0 3/2
Physics 2 6 4/2 0/0
Software in teaching * 7 2/3 0/0
Point-set topology 5 2/2 0/0

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

  • Software in teaching (even years) and Astronomy (odd years)
3. year

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

  • Didactics of mathematics 1 (even years) and Didactics of mathematics 2 (odd years)
  • Statistics (even years) and Pedagogy with andragogy (odd years)
  • Elective (B) (even years) and Didactics 1 (odd years)
  • Elective (B1) (even years) and Psychology of learning and teaching (odd years)
  • Software in teaching (even years) and Astronomy (odd years)
4. year

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

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

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

  • Statistics in school (even years) and Mathematical horizons (odd years)
  • Symbolic computation and dynamic geometry (even years) and Modern trends in the teaching of mathematics (odd years)
  • History of mathematics (even years) and Mathematics for gifted students (odd years)
1. year
electives
1. sem. 2. sem.
Course ECTS P/V P/V
Introductory seminar A 4 2/2 0/2
Introductory seminar B 4 0/2 2/2
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
Pedagogical electives
1. sem. 2. sem.
Course ECTS P/V P/V
Teaching mathematics and physics in English 5 2/2 0/0