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Lecturer(s)
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Tirpáková Anna, prof. RNDr. CSc.
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Course content
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- Display, types of display, plain display, similar display. - Equivalence and similarity of sets. Properties of equivalence relation and similarity of ordered sets relation. -Binary operations in a set. Properties of binary operations. - Algebraic structures with one binary operation. Algebraic structures with two binary operations. - Concept of a number, its historical development and present. - Overview of activities leading to creating the concept of a natural number. Cardinal numbers of sets. Ordinal numbers of a well-ordered set. - Operations with cardinal and ordinal numbers, consequence with natural numbers. - Three options of launching the concept of a natural number. - Natural numbers as cardinal numbers. Natural numbers as ordinal numbers. Natural numbers as Pean set elements. - Operations with natural numbers and their properties. Semiring of all natural numbers.
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Learning activities and teaching methods
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Monologic (Exposition, lecture, briefing), Dialogic (Discussion, conversation, brainstorming), Methods for working with texts (Textbook, book), Practice exercises
- Participation in classes
- 28 hours per semester
- Preparation for course credit
- 20 hours per semester
- Term paper
- 30 hours per semester
- Home preparation for classes
- 12 hours per semester
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| prerequisite |
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| Knowledge |
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| nespecifikováno |
| nespecifikováno |
| learning outcomes |
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| Students will gain notion of theoretical bases of mathematics needed for teaching activities and managing pupils' learning activities in primary school maths. |
| Students will gain notion of theoretical bases of mathematics needed for teaching activities and managing pupils' learning activities in primary school maths. |
| teaching methods |
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| Practice exercises |
| Practice exercises |
| Monologic (Exposition, lecture, briefing) |
| Monologic (Exposition, lecture, briefing) |
| Dialogic (Discussion, conversation, brainstorming) |
| Dialogic (Discussion, conversation, brainstorming) |
| Methods for working with texts (Textbook, book) |
| Methods for working with texts (Textbook, book) |
| assessment methods |
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| Didactic test |
| Didactic test |
| Grade (Using a grade system) |
| Grade (Using a grade system) |
| Analysis of seminar paper |
| Analysis of seminar paper |
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Recommended literature
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DIVÍŠEK, F. a kol. Didaktika matematiky pro učitelství 1. stupně ZŠ. Praha: SPN, 1989.
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DRÁBEK, J. a kol. Základy elementární aritmetiky pro studium učitelství 1. st. ZŠ. Praha: SPN, 1985.
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EBEROVÁ, J. Základy matematiky 4. Vydavatelství UP, 2005.
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HEJNÝ, M., KUŘINA, F. Dítě, škola, matematika. Praha: Portál, 2001.
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KUŘINA, F. a kol. Matematika a porozumění světu. Praha: Akademia, 2009.
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KUŘINA, F., PŮLPÁN, Z. Podivuhodný svět elementární matematiky. Praha: Akademia, 2006.
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KUŘINA, F. Umění vidět v matematice. Praha: SPN, 1989.
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NOVÁK, B., EBEROVÁ, J. STOPENOVÁ, A. Základy elementární matematiky v úlohách. Olomouc: Vydavatelství UP, 2004.
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