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Lecturer(s)
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Příhonská Jana, doc. RNDr. Ph.D.
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Žáková Jana, Mgr. Ph.D.
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Course content
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1. Classification problems - illustration of different types of problems and their method solving. 2. The work with mathematically talented pupils (Olympiads and others competitions). Analysis, types and classification. 3. The work with mathematically talented pupils (Olympiads and others competitions). Individual statements of students - solution and one's output problems. 4. Algebraic problems - determinative, proof, word. Illustration, analysis of problems. 5. Algebraic problems - determinative, proof, word. Individual statements of students - solution and one's output problems 6. Arithmetical problems - determinative, proof. Illustration, analysis of problems. 7. Arithmetical problems - determinative, proof. Individual statements of students - solution and one's output problems. 8. Geometrical problems - determinative, proof, using the sets of points. Illustration, ana-lysis of problems. 9. Geometrical problems - determinative, proof, using the sets of points Individual statements of students - solution and one's output problems 10. Combinatorial problems - development of logical thinking. Illustration from tests, methods of solution. 11. Combinatorial problems - development of logical thinking. Individual statements of students - solution and one's output problems 12. "Algebrograms" - the solving methods. 13. Student's presentation of given problems. 14. Reserve.
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Learning activities and teaching methods
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Project teaching
- Class attendance
- 28 hours per semester
- Home preparation for classes
- 28 hours per semester
- Semestral paper
- 28 hours per semester
- Preparation for credit
- 6 hours per semester
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Learning outcomes
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The seminar is intended on introduction of students to mathematical competitions at basic and secondary school and an analysis of the tasks included. Students are to be shown the model answers and new trends and solving problems.
Organization of mathematical competitions at basic and secondary school and an analysis of the tasks included.
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Prerequisites
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Knowledge of secondary school mathematics.
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Assessment methods and criteria
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Student's performance analysis
Active participation on seminars. Work out individual papers - problems from mathematical competitions - and their presentation. Work out the term`s work - solution of engaged task from mathematic competition. Knowledge of syllabus of basic and secondary school and different methods of solution on the secondary school level.
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Recommended literature
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Hecht, T. - Sklenáriková, Z.:. Metódy riešenia matematických úloh.. Bratislava, SPN, 199.
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Koman, M. - Vyšín, J.:. Malý výlet do moderní matematiky.. Praha, Mladá fronta, 1972.
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Moravčík, J. - Vyšín, J.:. Dvacet pět let matematické olympiády v Československu.. Praha, ÚV MO, 1976.
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Vyšín, J. Vybrané úlohy z matematických olympiád. Kategoria Z.. Bratislava, SPN, 1997.
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Zedek, M. a kol.:. Vybrané úlohy z matematických olympiád. Kategorie B, C.. SPN, 1979.
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