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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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- Number systems as a way of representing numbers. Positional, non-positional number systems, various notations of numbers. - Natural numbers and their position in number fields. - Writing natural numbers in the decimal system and counting in the decimal system. - Divisibility signs in the decimal system. Properties and divisibility criteria. - Other number systems. Converting the notation of a natural number from one number system to another. Counting in other number systems. - Fractions and positive rational numbers. - Addition and multiplication of positive rational numbers. - Arrangement of the set of positive rational numbers. - Subtraction and division of positive rational numbers. - Introduction to geometry. Euclid and his contribution, requirements for an axiomatic system. - Development of geometric imagination. Plane formations in primary education (point, line, semi-line, line segment) definition, types and construction of plane formations. - Planar shapes in primary education (square, rectangle, quadrilaterals, circle, circle) definition, types and construction of planar shapes. - Development of spatial imagination, orientation in space. Spatial formations (cube, cuboid, pyramid, cone, cylinder, sphere) definitions, types and construction of simple spatial formations. - Spatial formations, their observation, naming, common and different properties, determining the position of objects in space using simple expressions.
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Learning activities and teaching methods
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Monologic (Exposition, lecture, briefing), Methods for working with texts (Textbook, book), Activating (Simulation, games, dramatization), Practice exercises, Analysis of a presentation
- Participation in classes
- 42 hours per semester
- Preparation for course credit
- 30 hours per semester
- Preparation for examination
- 30 hours per semester
- Home preparation for classes
- 18 hours per semester
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| prerequisite |
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| Knowledge |
|---|
| unspecified |
| unspecified |
| learning outcomes |
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| explain the basics of number systems and the form of number representation |
| explain the basics of number systems and the form of number representation |
| define natural numbers |
| define natural numbers |
| define the basic concepts of geometry |
| define the basic concepts of geometry |
| define properties of spatial geometry |
| define properties of spatial geometry |
| Skills |
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| convert numbers between number systems |
| convert numbers between number systems |
| describe properties and criteria of numbers divisibility |
| describe properties and criteria of numbers divisibility |
| display spatial formations |
| display spatial formations |
| teaching methods |
|---|
| Knowledge |
|---|
| Analysis of a presentation |
| Analysis of a presentation |
| Practice exercises |
| Practice exercises |
| Monologic (Exposition, lecture, briefing) |
| Monologic (Exposition, lecture, briefing) |
| Methods for working with texts (Textbook, book) |
| Methods for working with texts (Textbook, book) |
| Activating (Simulation, games, dramatization) |
| Activating (Simulation, games, dramatization) |
| assessment methods |
|---|
| Didactic test |
| Didactic test |
| Written examination |
| Written examination |
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Recommended literature
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Boboňová, I. & Tirpáková, A. Inclusion of Interdisciplinary Approach in the Mathematics Education of Biology Trainee Teachers in Slovakia. Interdisciplinary Mathematics Education. 2019.
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Divíšek, F. a kol. Didaktika matematiky pro učitelství 1. stupně ZŠ. Praha, 1989.
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Ficová, L. Možnosť identifikovania úrovne schopností žiakov primárneho matematického vzdelávania prostredníctvom testových úloh. Praha, 2015.
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Hejný, M. Vyučování matematice orientované na budování schémat: aritmetika 1. stupně. Praha: UK., 2014.
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Jirotková, D. Cesty ke zkvalitňování výuky geometrie. Praha: UK., 2010.
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Kouřim, J. et al. Základy elementární geometrie pro učitelství 1. stupně ZŠ. Praha: SPN, 1985.
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Kuřina, F., & kol. Matematika a porozumění světu. Praha, 2009.
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Kuřina, F., & Půlpán, Z. Podivuhodný svět elementární matematiky. Praha: Akademia., 2006.
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Kuřina, F. Deset pohledů na geometrii. Praha: Albra., 1996.
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Molnár, J., Perný, J., & Stopenová, A. Prostorová pr?edstavivost a prostr?edky k jejímu rozvoji. Praha, 2006.
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Partová, K. Prirodzené čísla. Bratislava: ASCO Art&Science., 2002.
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Žilková, K., & Židek, O. Manipulačná geometria. Bratislava, 2013.
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Žilková, K. Geometria. Trnava: PF Trnavská univerzita, 2013.
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