|
Lecturer(s)
|
-
Ovary Bulková Kristína, PaedDr. PhD.
-
Fajkus Martin, RNDr. Ph.D.
|
|
Course content
|
-Mathematics as a scientific discipline, conception of mathematical preparation, methods and goals of mathematics, mathematical equipment of a teacher in primary education. -Numeral systems as a way of presentation of numbers. Positional and non-positional numeral systems, various ways of writing numbers. -Operations with natural numbers in other than decimal system , writing natural numbers in decimal and Z-adic numeral systems and operations in these systems. Transferring natural numbers from one numeral system into another. -Prime numbers and compound numbers. -Divisibility in the set of natural numbers, features and criteria of divisibility. -Expansion of numeric fields - from natural numbers to integers, rational numbers and real numbers. -Planar geometry , definitions and properties of basic planar formations, polygons and regular polygons, geometry in square grid (geoboard), basic Euclidian construction, positioning and metric properties of planar formations. -Spatial geometry - definitions and properties of basic spatial formations, positional and metric properties of formations in space, models of geometric bodies and their grids, regular polyhedrons, displaying spatial formations and buildings from cubes. -Modelling geometric concepts and relations through various techniques, building kits and jigsaw puzzles.
|
|
Learning activities and teaching methods
|
Monologic (Exposition, lecture, briefing), Dialogic (Discussion, conversation, brainstorming), Activating (Simulation, games, dramatization)
- Participation in classes
- 42 hours per semester
- Preparation for course credit
- 25 hours per semester
- Preparation for examination
- 30 hours per semester
- Term paper
- 23 hours per semester
|
| prerequisite |
|---|
| Knowledge |
|---|
| not specified |
| not specified |
| learning outcomes |
|---|
| Students understand content and importance of elementary arithmetic and geometry, they master various techniques of modelling concepts and relations in both of the fields also through building kits and jigsaw puzzles. |
| Students understand content and importance of elementary arithmetic and geometry, they master various techniques of modelling concepts and relations in both of the fields also through building kits and jigsaw puzzles. |
| teaching methods |
|---|
| Activating (Simulation, games, dramatization) |
| Monologic (Exposition, lecture, briefing) |
| Dialogic (Discussion, conversation, brainstorming) |
| Dialogic (Discussion, conversation, brainstorming) |
| Monologic (Exposition, lecture, briefing) |
| Activating (Simulation, games, dramatization) |
| assessment methods |
|---|
| Didactic test |
| Didactic test |
| Written examination |
| Written examination |
|
Recommended literature
|
-
DIVÍŠEK, F. a kol. Didaktika matematiky pro učitelství 1. stupně ZŠ. Praha: SPN, 1989.
-
HEJNÝ, M. Vyučování matematice orientované na budování schémat: aritmetika 1. stupně. Praha: UK, 2014.
-
JIROTKOVÁ, D. Cesty ke zkvalitňování výuky geometrie. Praha: UK, 2010.
-
KOUŘIM, J. a kol. Základy elementární geometrie pro učitelství 1. stupně ZŠ. Praha: SPN, 1989.
-
KUŘINA, F. a kol. Matematika a porozumění světu. Praha: Akademia, 2009.
-
KUŘINA, F. Deset pohledů na geometrii. Praha: Albra, 1996.
-
KUŘINA, F., PŮLPÁN, Z. Podivuhodný svět elementární matematiky. Praha: Akademia, 2006.
-
MOLNÁR, J., PERNÝ, J., STOPENOVÁ, A. Prostorová pr?edstavivost a prostr?edky k jejímu rozvoji. Praha: JČMF, 2006.
-
ŽILKOVÁ, K. Geometria. Trnava: PF Trnavská univerzita, 2013.
-
ŽILKOVÁ, K., ŽIDEK, O. Manipulačná geometria. Bratislava: UK, 2013.
|