General characteristics of the study programme
Name of the study programme: | Teaching Geometry in Combination with other Subjects |
Field of study: | 1.1.1 Teaching Primary and Secondary Subjects |
Level of study: | 2nd |
Form of study: | standard |
Standard length of study: | 2 years |
Academic degree confered: | Mgr. |
Guarantor of the study programme: | |
Co-guarantor of the study programme: | prof. PhDr. PaedDr. Martin Žilínek, PhD. |
Expected number of students in class: | 10 (Geometry and Mathematics) |
Programme sequentiality
This programme follows the undergraduate study programme of the same name. The programme is combined with the programme Pedagogy Basics and also with one other study programme in the field Secondary and Post-Secondary Teaching. However, the only sinfull combination possibility is the co-programme Mathematics.
Brief history of the study programme
Teacher training study of descriptive geometry (combined with mathematics) has been possible since 1940 on the Faculty of Sciences of Slovak University, later on the Faculty of Sciences and since 1980 on the Faculty of Mathematics and Physics of of Comenius University in Bratislava. This study rises from traditions of the known Central Europe geometric school, especially in Germany, Austria and Czechoslovakia. One can study this program e.g. on the Palacký University in Olomouc, Faculty of Mathematics and Physics of Charles University in Prague, or on technical universities in Wien, Graz (Austria) and Budapest (Hungary).
The Faculty of Mathematics, Physics and Informatics UK is the only school in Slovakia giving the full qualification to teach descriptive geometry.
Requirements on study applicant (Requirements for acceptance)
The basic requirement of study applicant is completion of the Bachelor study programme Descriptive geometry. With respect to specific conditions of to-be-teacher studies, the completion of the Bachelor study programme Mathematics and Fundamentals in Pedagogy and Psychology is required, as well.
Graduates of other Bachelor study programmes are obliged to pass entrance examination. The examination has written form and consists of standard topics in undergraduate courses in Mathematics and Descriptive Geometry at our faculty.
Educational and professional objectives
The main goal of the study programme Descriptive geometry is to enable a high-quality training for future teachers of descriptive geometry (and related subjects as computer aided design, computer geometry, technical drawing, etc.), particularly for secondary schools, but also for some faculties on technical universities and for faculties of sciences on universities, as well. This goal is followed in the three directions: Enhancement of theoretical foundations, Applications of descriptive geometry and Computer aided creating of simple 3D scenes and their 2D images. All mentioned directions are supported also by optional subjects of the porgramme.
Subject focus and brief description
Student gains new theoretical knowledge in three components of his/her training, namely in pedagogy, didactics and in descriptive geometry. Every component develops themes of the corresponding one from the Bachelor study programme.
In the field of descriptive geometry, the student gets more systematical and deeper knowledge in theoretical foundations (subjects Algebraic Geometry, Differential Geometry). The mentioned theoretical foundations enables effective constructions of precise images of complex 3D objects, as hand-made as using output devices of computers. Further, the student gets deeper knowledge in computer geometry, especially in curves and surfaces modeling (subjects Computer Geometry 1, 2). The student will get new information on advanced applications of descriptive geometry (Surfaces in Technical Practice 1, 2). He/she gets also survey in literature in the field of geometry and its applications and abilities to use it in further individual study (subject Seminar in Geometry).
In the didactical component of study, the student gains knowledge necessary for successful teaching of descriptive geometry at secondary schools and at technical secondary schools. He/she achieves needed skills in didactics during Teaching Practice in Descriptive Geometry 1, 2.
For more details see the List of subjects of the programme.
Graduates' profile
Graduate is fully qualified for teaching descriptive geometry at secondary schools and at technical secondary schools. He/she is qualified also for teaching descriptive geometry or constructional geometry or computer geometry at technical universities. Finally, he/she is ready to study Ph.D. study programmes, especially the programmes Theory of Mathematics Education or Geometry and Topology.
Graduates' competence and job opportunities
First of all, graduates are ready for teaching descriptive geometry at secondary schools and universities. The subject Descriptive Geometry is contained in study programmes of high schools, technical secondary schools, technical colleges and technical universities.
Besides occupations in educational system, graduates in to-be-teacher-studies at our faculty successfully perform also in other fields e.g. in research, industry and finances. The main reason is, first of all, their good education in mathematics including training in logic and problem solving. In the study programme Descriptive geometry, it joins also training in geometry information processing. Therefore some of our former graduates achieved higher positions in various business and industries.
Specific features of the programme
There are none.
