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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), Problematic methods (research and exploration), Seminár
- Class attendance
- 22 hours per semester
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Learning outcomes
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The aim of the course is to acquaint students with various methods of problem solving, such as Heuristic strategies, method of generated problems, research approach to problem solving and investigation of mathematical situations. Repetition of the procedure, searching for a formula, searching for exceptions and special cases, generalization of problems, reverse problems. Proof problems, mathematical determination problems, parameter problems, verbal problems and mathematical situations.
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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B. Novák, Molnár, J. a kol.:. Deset let s matematickým klokanem.. UP, Olomouc, 2005.
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G. Polya:. How to Solve it.. Princeton University Press, Princeton, USA, 1985.
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HEJNÝ, M., NOVOTNÁ, J., STEHLÍKOVÁ, N. Dvacet pět kapitol z didaktiky matematiky ? 1. díl.. online. UK Praha, 2004. ISBN 80-7290-189-3.
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J. Molnár:. Světová federace národních matematických soutěží a my.. UP, Olomouc, 2007.
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J. Švrček:. Tvorba a využití gradovaných řetězců matematických úloh.. UP, Olomouc, 2008.
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M. Ausbergová, R. Folk:. Rozvíjení myšlení žáků při vyučování.. SPN, Praha, 1999.
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M. Cirjak:. Zbierka divergentných a iných neštandardných úloh (tvorivosť v matematike).. Essox, Prešov, 2000.
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