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Lecturer(s)
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Chytrý Vlastimil, doc. PhDr. Ph.D.
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Course content
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The content covers the following topics: 1. logic, thinking, foundations of mathematics and logic 2. Sets 3. Organization, views, functions 4. Natural numbers 5. numeric fields, integers, rational numbers, real numbers 6. combinatorics, probability, 7. geometry? set of points in E 2 8. congruent in E 2 9. Word problems, diofantovské equation 10. axiomatic system and the history of mathematics (Proofs of theorems, algorithms, counting on the abacus, counting with Roman numerals?) 11. The variable work with abstract concepts 12. algebraic expressions? adjustment 13. Theory processing statistics 14. Sequences and Series
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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Subject of the application tasks together with the culture of teaching mathematics subject last mathematical subject in the study field of study for the first grade of primary schools all specializations. These two items should complete the study of mathematics and redintegrate field. At this time, students have a completed and students of all educational practice and prepare for the final examination. Exercise should combine the knowledge gained from studying and teaching skills of teaching practice. The students (and students) should acquire competence in the seminars addressed to vary and create mathematical problems related to teaching first and second grade of primary school.
Students can: Characterize the didactic principles of teaching mathematics at the first grade of elementary school and is able to apply in practice, able to plan teaching mathematics in accordance with the curricula, in line with the set objectives can formulate evaluation criteria, is familiar with the didactic curriculum of mathematics at 1 . degree, knows basic methodological apparatus, able to include teaching appropriate learning tasks.
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Prerequisites
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The prerequisite is completion of courses Mathematics 1 and 2, 1 and 2, Arithmetic, Geometry 1 and 2, didactics
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Assessment methods and criteria
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unspecified
Active participation in class. Compliance with the final test (70% pass). Seminar work.
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Recommended literature
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Bělík M. Geometrie s didaktikou, učební text pro studium učitelství 1. stupně ZŠ, UJEP 2007. Ústí nad Labem, 2007. ISBN 987-80-7044-875-5.
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Bělík M. Přirozená čísla jako čísla kardinální a ordinální, Pedagogická fakulta UJEP, Ústí n.L.. 1998.
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Bělík M., Svoboda J. Peanova aritmetika přirozeného čísla, Pedagogická fakulta UJEP, Ústí n.L.,. 1998.
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Bělík M., Svoboda J. Celá čísla, Pedagogická fakulta UJEP, Ústí n.L.. 1998.
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Coufalová a kol. Vybrané kapitoly z didaktiky matematiky pro učitele 1. stupně základní školy, PF Plzeň, 1991.
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Divíšek J. a kol. Didaktika matematiky pro učitelství 1. stupně ZŠ. Praha, 1989.
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