| Course title | Methods of Solving High School Excercises |
|---|---|
| Course code | UMB/030U |
| Organizational form of instruction | Lesson |
| Level of course | Bachelor |
| Year of study | not specified |
| Frequency of the course | In each academic year, in the winter semester. |
| Semester | Winter |
| Number of ECTS credits | 2 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
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| Course content |
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Methodology for solving mathematical problems will be illustrated with specific examples from the different thematic part. 1. Basic strategy for problem solving. 2. Problems of elementary number theory. 3. Problems with parameters. 4. Problem tasks in combinatorics. 5. Inequalities. 6. Methods of solving extremal problems, optimization. 7. Polynomials and equations of higher degrees. 8. Geometry. 9. Sequences. 10. Proofs. 11. Mathematization of real situation. 12. Motivating examples, applied problem tasks. 13. Summary tasks. 14. ICT and literature for problem solving.
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| Learning activities and teaching methods |
| 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) |
| Learning outcomes |
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Problem solving tasks is an essential part of teaching mathematics at all levels and types of schools. This course is an important extension of theoretical mathematics a didactics of mathematics. Course helps students to work at professional and interesting way.
A student is qualified for leading courses to the Mathematical Olympiad and mathematical competitions. |
| Prerequisites |
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Perfect knowledge of secondary school curriculum on a high-school level.
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| Assessment methods and criteria |
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Student performance assessment, Interim evaluation
- active attendance of practicals - at least 70% points from one written test |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester |
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