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Lecturer(s)
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Švrček Jaroslav, RNDr. CSc.
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Chodorová Marie, RNDr. Ph.D.
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Course content
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1. Methods of solving plane geometry problems. 2. The method of areas, methods of classical synthetic plane geometry, methods of analytical geometry. 3. Geometrical inequalities and their application. 4. Proofs in plane geometry and solid geometry. 5. Methods of problem solving in combinatorial geometry, coloring. 6. Mathematical models of real situations.
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Learning activities and teaching methods
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Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
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Learning outcomes
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Manage of basic plane-geometry problem-solving strategies.
2. Comprehension Identify basic problem-solving methods in geometry.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Seminar Work
Credit: the student has to solve 7 problems (homework) assigned during the course and has to pass one written test (i.e. to obtain at least half of the possible points).
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Recommended literature
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Hejný M. (1990). Teória vyučovania matematiky 2. SPN Bratislava.
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ŠVRČEK J., CALÁBEK P. (2007). Sbírka netradičních matematických úloh. Prometheus Praha.
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Švrček J. (1998). Vybrané partie z geometrie trojúhelníka. UK Praha.
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Tabov J. B., Taylor P. J. (1996). Methods of problem solving (Book 1). AMT Canberra.
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Tabov J. B., Taylor P. J. (2002). Methods of problem solving (Book 2). AMT Canberra.
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