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Lecturer(s)
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Zderčík Antonín, PhDr. Ph.D.
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Sedláček Lubomír, Mgr. Ph.D.
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Course content
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- The subject of mathematics didactics and its relationship to mathematics, pedagogy, other sciences. - Basic pedagogical documents in teaching mathematics. - Structure of mathematical knowledge in secondary education. - Set theory and propositional logic. Basic laws of arithmetic, numerical sets and operations on sets of natural, integer and rational numbers. - Equations and inequalities in school mathematics and methodology for their solution. - Axiomatic construction of geometry in planimetry, stereometry, basic geometric concepts and properties. - Development of combinatorial thinking. - Typology of word problems and issues, heuristic methods for solving mathematical problems. - Theory of creating mathematical problems and tests and their evaluation.
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Learning activities and teaching methods
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Dialogic (Discussion, conversation, brainstorming), Exercises on PC
- Participation in classes
- 20 hours per semester
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| prerequisite |
|---|
| Knowledge |
|---|
| not specified |
| not specified |
| learning outcomes |
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| characterize the objectives of teaching mathematics |
| characterize the objectives of teaching mathematics |
| characterize possible concepts of teaching the field |
| characterize possible concepts of teaching the field |
| describe methods of solving mathematical problems |
| describe methods of solving mathematical problems |
| define basic concepts of school mathematics |
| define basic concepts of school mathematics |
| specify the relationship of mathematics didactics to mathematics, pedagogy and other sciences |
| specify the relationship of mathematics didactics to mathematics, pedagogy and other sciences |
| Skills |
|---|
| implement the didactic transformation of the curriculum |
| implement the didactic transformation of the curriculum |
| design teaching according to the level of pupils and the requirements of the school |
| design teaching according to the level of pupils and the requirements of the school |
| set goals and create learning tasks for the development of pupils |
| set goals and create learning tasks for the development of pupils |
| lead pupils to effective cooperation in the conditions of English language teaching and the whole school |
| lead pupils to effective cooperation in the conditions of English language teaching and the whole school |
| prepare a lesson |
| prepare a lesson |
| teaching methods |
|---|
| Knowledge |
|---|
| Dialogic (Discussion, conversation, brainstorming) |
| Dialogic (Discussion, conversation, brainstorming) |
| Exercises on PC |
| Exercises on PC |
| assessment methods |
|---|
| Analysis of a presentation given by the student |
| Analysis of a presentation given by the student |
| Analysis of seminar paper |
| Analysis of seminar paper |
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Recommended literature
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Brdička, B., Černá, A., Chaluš, P., Kadavý, J., Koreš, J., Kozáková, B., Naske, P., Ott, V., Neumajer, O., Růžičková, D., Slejška, Z., Šabatková, P., Tocháček, D., Úlovec, R., & Wagner, J. Informační a komunikační technologie ve škole. Praha: Výzkumný ústav pedagogický, 2010.
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Dravecký, J. Didaktika. Ružomberok: Katolícka univerzita v Ružomberku Pedagogická fakulta, 2017.
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Gaebel, M., Kupriyaova, V., Morais, R., & Colucci, E. E-Learning in European higher education institutions. Brusel: European University Association, 2014.
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Hazzan, O., Lapidot, T., & Noa, R. Guide to teaching Computer Science: An Activity-Based Approach. London: Springer, 2014.
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