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Lecturer(s)
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Břehovský Jiří, Mgr. Ph.D.
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Course content
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1. Heuristic strategies (generalization, concretization) 2. Heuristic strategies (analogy) 3. Heuristic strategies (looking for exceptions, iterating a certain procedure) 4. Heuristic strategies (reformulation of a problem) 5. Heuristic strategies (algebraic way) 6. Heuristic strategies (geometric way) 7. Other heuristic strategies 8. Metod of generating probléme (geometric mapping) 9. Metod of generating probléme (signs of divisibility) 10. Metod of generating probléme (divisibility) 11. Metod of generating probléme (Pythagoras Theorems) 12. Metod of generating problems (NIM games) 13. Repetition
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Learning activities and teaching methods
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Working activities (workshops)
- Class attendance
- 22 hours per semester
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Learning outcomes
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Heuristic strategy, Method of generating problems, Investigative approach, and following themes: Iterating, Search for patterns, exceptions and special cases, generating given problems, converse problems.
To know basic strategies of problem solving
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Prerequisites
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Pass an examination from algebra 3
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Assessment methods and criteria
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Systematické pozorování studenta
Workshops of students and written works.
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Recommended literature
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Cofman, J.:. What to solve?. New York, Oxford University, 1991.
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Koman, M. - Vyšín, J.:. Malý výlet do moderní matematiky.. Praha, Mladá fronta, 1972.
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Kopka, J.:. Hrozny problémů ve školské matematice. Ústí n.L. UJEP, 1999..
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Kopka, J.:. Zkoumání ve školské matematice. Ružomberok, Katolická univerzita, 2006..
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Mason, J.:. Thinking mathematically. Bristol, Addison-Wesley Publ. Company, Inc 1994..
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Odvárko, O.:. Metody řešení matematických úloh. Praha, SPN 1990..
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Zelinka, B.:. Rovinné grafy. Praha ŠMM, Mladá fronta 1970..
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