PdF:ZS1BP_PGE1 Geometry I - Course Information
ZS1BP_PGE1 Geometry I
Faculty of EducationAutumn 2016
- Extent and Intensity
- 1/0/0. 2 credit(s). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Leni Lvovská, Ph.D. (lecturer)
- Guaranteed by
- doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Contact Person: Mgr. Leni Lvovská, Ph.D.
Supplier department: Department of Mathematics – Faculty of Education - Timetable
- Tue 9:20–10:05 učebna 32
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Primary School Teacher Training (programme PdF, M-ZS5)
- Course objectives
- At the end of the course students should be able to understand and explain the followed knowledge: Hilbertś system of axioms - concept of axioms, elementary terms derived from axioms of incidence, order, parallels, congruence and continuity. Elementary geometric shapes - triangles, quadrilaterals, circles and their properties. Foundations of theory of measure - length of line segments, measurement of angles, planar and spatial objects, principle of Jordanś measure.
- Syllabus
- Elementary geometric objects and theier properties:elementary notions and postulates of Euclidean geometry, elementary geometric figures (line segment, half line, half plane, half space, angle, triangle,quadrilateral, circle, broken line, polygon, polyhedron),convex and nonconvex sets of points, congruence of line segments and angles, consequential concepts. Spherical neighbourhoods in plane and space and derived notions. Elementary sets of points with certain property (geometrical locus). Rudiments of theory of measure: measurement of line segment, measurement of angle, measurement of planar and spatial objects - principle of Jordanś theory of measure. Solution of exercises.
- Literature
- FRANCOVÁ, Marta and Leni LVOVSKÁ. Texty k základům ELEMENTÁRNÍ GEOMETRIE (Textbooks to the Basics of ELEMENTARY GEOMETRY). 1. vydání. Brno, 2014, 77 pp. ISBN 978-80-210-7594-8. info
- FRANCOVÁ, Marta and Květoslava MATOUŠKOVÁ. Kapitoly ze základů stereometrie pro studium učitelství 1. stupně základní školy. Vyd. 1. Brno: Vydavatelství Masarykovy univerzity, 1994, 60 s. ISBN 8021008407. info
- FRANCOVÁ, Marta, Květoslava MATOUŠKOVÁ and Milena VAŇUROVÁ. Texty k základům elementární geometrie : pro studium učitelství 1. stupně základní školy. 2. opr. vyd. Brno: Masarykova univerzita, 1994, 107 s. ISBN 8021008806. info
- FRANCOVÁ, Marta, Květoslava MATOUŠKOVÁ and Milena VAŇUROVÁ. Sbírka úloh z elementární geometrie. Vyd. 1. Brno: Masarykova univerzita v Brně, 1992, 86 s. ISBN 8021004045. info
- KOUŘIM, Jaroslav, Ondrej ŠEDIVÝ and František KUŘINA. Základy elementární geometrie : pro učitelství 1. stupně ZŠ. 1. vyd. Praha: Státní pedagogické nakladatelství, 1985, 156 s. info
- Teaching methods
- Lectures.
- Assessment methods
- Colloquium, discussion, written test.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
- Enrolment Statistics (Autumn 2016, recent)
- Permalink: https://is.muni.cz/course/ped/autumn2016/ZS1BP_PGE1