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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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Theoretical introduction into following themes: Numerical systems. Construction ring whole numbers, divisibility. Construction fiel rational numbers, idea of real numbers. Terms, equation and inequaties - their solution. Simile and complicated verbal problems - their classification, phases, and methods of solution. Lectures: 1.- 2. Numeral systems. Expression of the natural numbers in the numeral system, the transfer of written numbers among systems. Numerical operations with numbers in decimal and other numerical systems. 3.- 4. Whole numbers. Construction of field of integrity of whole numbers, its arrangement, absolute value. 5.- 6. Rational numbers. Construction of body of rational numbers, its arrangement, absolute value, numeral axis, extending a body of rational numbers. 7.- 8. Statements - numerical, algebraic, variable. Equations, Inequalities - solving methods. 9.-10. Simple word problems. The term of word problem, mathematization of real situations. Phases of word problem solving, graphical presentation. Addition and multiplication tasks. 11.-12. Compound word problems. The plan and solution phase, analytical and synthetic approach. Some solution methods - an attempt, graphically, special types. creating word problems. 13.-14. Reserve. Exercises: The themes lectured in the past week lecture.
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing)
- Class attendance
- 28 hours per semester
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Learning outcomes
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Theoretical introduction into following themes: Numerical systems. Construction ring whole numbers, divisibility. Construction fiel rational numbers, idea of real numbers. Terms, equation and inequaties - their solution. Simile and complicated verbal problems - their classification, phases, and methods of solution.
Theoretical piece of knowledge and practical acquirements from required area.
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Prerequisites
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Credit, see syllabus.
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Assessment methods and criteria
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Oral exam
Credit, see syllabus. Secondary school mathematics and Elementary arithmetic 1 and 2.
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Recommended literature
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Osnovy a metodické příručky k těmto učebnicím..
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Osnovy a metodické příručky k těmto učebnicím..
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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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Učebnice matematiky pro 1.-5. ročník základní školy..
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Vzdělávací program Základní škola. Praha, Fortuna 1996..
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Vzdělávací program Základní škola. Praha, Fortuna 1996..
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Divíšek, J. a kol. Didaktika matematiky pro učitelství 1. stupně ZŠ. Praha, SPN 1989.. &, &.
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Drábek, J. a kol. Základy elementární aritmetiky pro učitelství 1. st. ZŠ. Praha, SPN, 1985.
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Drábek, J. a kol.:. Základy elementární aritmetiky pro učitelství 1. stupně ZŠ. 1985.. Praha, SPN, 1989.
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Hejný, M. a kol. Teória vyučovania matematiky 2. Bratislava, SPN 1990..
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Križalkovič, K. a kol. Didaktika matematiky na 1. stupni ZŠ. Bratislava, SPN 1990..
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Križalkovič, K. a kol. Základy elementárnej aritmetiky. Bratislava, SPN 1991..
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Malinová, E. Teorie vyučování matematice v 1.- 4. ročníku ZŠ - část 1 (Aritmetika)..
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Odvárko, O.:. Metody řešení matematických úloh.. Praha, SPN, 1990. ISBN 80-04-20434-1.
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