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Lecturer(s)
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Příhonská Jana, doc. RNDr. Ph.D.
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Břehovský Jiří, Mgr. Ph.D.
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Course content
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Lectures: 1. Numerical systems, entry of a number in a system on a given base. 2. Mutual conversions between number entries in different systems, numerical operations in numerical systems. 3. Expanding the natural numbers range - integers, numerical axis arrangement, absolute value. 4. Z numeric operations, divisibility in Z, common divisor, common multiple. 5. Enlargement of the whole field - rational numbers, fractions, decimal numbers, completed and periodic development. 6. Transfers between individual expressions of rational numbers, work with decimal numbers and fractions. 7. Irrational numbers, examples of irrational numbers, roots. 8. Equations and inequalities as propositions and their solutions, equivalent equations and inequalities. 9. Diofant equations, verbal problems solved by Diofant equations. 10. Combinatorics - rule of sum and product, combination, variation, permutation, simple tasks. 11. Fundamentals of probability - classical definition, simple tasks. 12. Syllabus, simple and complex vocabulary, phases of solving simple vocabulary. 13. Methods of solving verbal problems, graphical solution. 14. Summary of the substance, Reserve. Exercise: The subject discussed in the previous lecture is practiced, in the first week of the course the EA1 substance, which is connected to EA2, is repeated (binary operations, algebraic structures with one and two binary operations).
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing), Practicum
- Class attendance
- 40 hours per semester
- Home preparation for classes
- 16 hours per semester
- Preparation for credit
- 14 hours per semester
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Learning outcomes
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Extension of natural numbers - arithmetic operations in the field, divisibility. Expanding the natural range of numbers to numbers, rational, including decimal numbers. Development of logical and combinational thinking of pupils, activating activities.
Theoretical piece of knowledge and practical acquirements from required area.
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Prerequisites
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Course Elementary Arithmetic 1
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Assessment methods and criteria
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Combined examination
Presence in seminars. Pass 2 tests. Secondary school mathematics and Elementary arithmetic 1. Semestral work - preparation of mathematical warm-up, preparation to teaching lesson.
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Recommended literature
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Rámcový vzdělávací program pro ZV..
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Učebnice matematiky pro 1.-5. ročník základní školy..
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BĚLÍK, M.. Teorie binárních operací (Skripta). UJEP. Most, 1995.
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DIVÍŠEK, J. a kol.. Didaktika matematiky pro učitelství 1. stupně ZŠ.. Praha: SPN, 1989. ISBN 80-04-20433-3.
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DRÁBEK, J. a kol. Základy elementární aritmetiky pro učitelství 1. st. ZŠ. Praha: SPN, 1989.
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GÁBOR, O. a kol. Teória vyučovania matematiky 1.. Bratislava: SPN, 1989. ISBN 80-08-00285-9.
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HEJNÝ, M. a kol. Teória vyučovania matematiky 2.. Bratislava: SPN, 1990. ISBN 80-08-01344-3.
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HEJNÝ, M. Vyučování matematice orientované na budování schémat: aritmetika 1. st.. UK Praha, 2014. ISBN 978-80-7290-776-2.
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KOPKA, J. Kapitoly o celých číslech (skriptum). UJEP, Ústí nad Labem, 2004. ISBN 80-7044-562-9.
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KRIŽALKOVIČ, K. a kol. Základy elementárnej aritmetiky.. Bratislava: SPN, 1991.
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PERNÝ, J. Kapitoly z elementární aritmetiky I. (Skripta). TUL Liberec, 2010. ISBN 978-80-7372-698-0.
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PERNÝ, J. Kapitoly z elementární aritmetiky II (Skripta). TUL Liberec, 2010. ISBN 978-80-7372-572-3.
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