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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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1.Logic in teaching mathematics in in elementary mathematics. Language in teaching elementary mathematics. 2. Set theory in mathematics curriculum at primary school. 3. Term numeracy at primary school. 4. Rational numbers at primary school . 5. The concept of the Binary relation in teaching elementary mathematics. 6. Term operation in teaching elementary mathematics. 7. Expressions, equations and inequalities and their solutions in teaching elementary mathematics. The concept of direct proportion in teaching elementary mathematics. 8. Concept and importance of word problems in elementary mathematics. 9. The geometry in elementary mathematics. 10. Binary relations and operations in the geometry in elementary mathematics. 11. Measurements of geometric figures in elementary mathematics. 12. Topological concepts in geometry in elementary mathematics.
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Learning activities and teaching methods
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unspecified, unspecified, unspecified
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Learning outcomes
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In the subject Didactics of mathematics students learn about historical and contemporary views of how to teach mathematics at primary school. Didactics of mathematics is divided into general didactics of mathematics, which is not bound by a specific mathematical content, which is part of the training program Teaching Mathematics I and special didactics of mathematics that is bound to a specific mathematical content, which is part of the training program Teaching Mathematics II. Students learn how to choose a self-learning text and create various types of tasks. Students learn about the work at the small schools, in compensatory classes and ethnic groups of pupils. They are encouraged to overcome communication barriers and solutions unintentionally caused pedagogical situations.
Students can: - To characterize the history of mathematics and its four main stages of its development, including the development of the concept of numbers, basic arithmetic operations and use of abacus, - Use logic elements in conjunction with a native language in teaching mathematics, - Use of set theory, the concept of numeracy, the concept of rational number, concept relations and operations with the creation of mathematical literacy, - Characterize and use of statistics, probability and combinatorics in mathematics curriculum and in their own teaching practice, - Describe and apply basic geometric concepts, binary relations and operations in geometry, measurement of geometric figures and topology in mathematics, - Create and solve word problems and know their theory.
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Prerequisites
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The subject requires no specific prerequisites.
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Assessment methods and criteria
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unspecified
Active participation in seminars, seminar work and its defense.
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Recommended literature
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Coufalová a kol. Vybrané kapitoly z didaktiky matematiky pro učitele 1. stupně zá-kladní 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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HEJNÝ, M. a kol. 25 kapitol z teorie vyučování matematiky. 2005, Praha Ped. F. UK..
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Květoň P. Kapitoly z didaktiky matematiky I, II a III, PF Ostrava,. 1989.
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