Content of this course is pedagogical interpretation of mathematical theories and practices focusing on the content of secondary school curriculum. Thematic units follow secondary schools curriculum, part of these is supported by mathematical software. 1. Definition of mathematical concept, determining of subject, personality of the teacher of mathematics, strategy of his work, motivation of students, organization of education 2. Cognitive process, formalist approach, transmission model and constructivist concept 3. Mathematical thinking, its content, scope, ontogeny and phylogeny, methodology 4. Communications with students in mathematics, equipment, importance and impact of ICT on students 5. Assessment, classification, students with different mathematical talent Methodology: 6. Classification of numbers, natural numbers, integers, divisibility, rational numbers, discrete set and its visualization 7. Irrational and real numbers, limits, infinity, continuity 8. Complex numbers, applications, mathematical software 9. Mathematical logic, mathematical proof 10. Variable, basic arithmetic and algebra, expression, polynomial, equation, function 11. Set, cartesian product, relation, map, function and its properties, derivative 12. Elementary functions, calculus, mathematical software 14. Systems of linear and nonlinear equations, inequalities, matrices, context with geometry, mathematical software 15. Problems and solutions of mathematical olympiad (continuously)
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Projection, Work with multi-media resources (texts, internet, IT technologies)
- Class attendance
- 52 hours per semester
- Preparation for classes
- 80 hours per semester
- Preparation for credit
- 10 hours per semester
- Preparation for exam
- 20 hours per semester
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Hejný, Milan a kol. 25 kapitol z didaktiky matematiky. 2004. ISBN 80-7290-189-3.
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Polák, Josef. Didaktika matematiky. 2014. ISBN 978-80-7238-449-5.
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Polák, Josef. SŠ matematika v úlohách II. Prometheus, 2011. ISBN 80-7196-116-3.
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Polák, Josef. SŠ matematika v úlohách I. Prometheus, 1996. ISBN 80-7196-337-2.
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