| Course title | Mathematics 1 |
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| Course code | KMA/PZMA1 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Master |
| Year of study | 1 |
| Semester | Summer |
| Number of ECTS credits | 3 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| Form of instruction | Face-to-face |
| Work placements | Course does not contain work placement |
| Recommended optional programme components | None |
| Course availability | The course is available to visiting students |
| Lecturer(s) |
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| Course content |
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The lectures will provide a brief theoretical introduction to the mentioned topics and an introduction to basic terms. All terms will be interpreted from the point of view of their application in the teaching of mathematics at the 1st grade of elementary school, while the rigor of the interpretation will be subordinated to this point of view. Thematic areas - lectures: 1. A brief overview of the history of mathematics. Propositional logic, logical construction of mathematics, reflection of propositional logic in the mathematics curriculum at primary school. 2. Sets - set operations, word problems solved using Venn diagrams 3. Binary relations - basic concepts and properties, examples of relations from the real world. 4. Equivalence relations, properties, decomposition of a set into classes, examples of equivalences. 5. Arrangement relations, properties, examples of arrangements. 6. Display, functions as special cases of binary relations, examples of functions in elementary school 7. Binary operations - basic properties. Thematic areas - exercises: Material from previous lectures is discussed.
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| Learning activities and teaching methods |
Monological explanation (lecture, presentation,briefing), Dialogue metods(conversation,discussion,brainstorming), Self-study (text study, reading, problematic tasks, practical tasks, experiments, research, written assignments), Individual consultation, Lecture, Practicum, E-learning
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| Learning outcomes |
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The subject is an theoretical introduction into algebra (binary relation, mapping, binary operation), propositional calculus and naive set theory.
Knowledge of the essential concepts of arithmetics, intuitive set theory and propositional calculus. Insight into the concept of natural number defined by means of different ways. |
| Prerequisites |
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Knowledge of secondary school mathematics, successful completion of the subject MPRP.
KMA/KZMAP ----- or ----- KMA/PZMAP |
| Assessment methods and criteria |
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Student's performance analysis, Test
Active participations on seminars, successfully absolved tests. Knowledge of secondary school mathematics (by curriculum of gymnasium, humanities). Successful completion of the subject MPRP. |
| 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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