PdF:IMAp05 Geometry 1 - Course Information
IMAp05 Geometry 1
Faculty of EducationAutumn 2024
- Extent and Intensity
- 0/2/0. 3 credit(s). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Helena Durnová, Ph.D. (seminar tutor)
Mgr. Leni Lvovská, Ph.D. (seminar tutor)
RNDr. Jakub Novák (seminar tutor)
Mgr. Zdena Staňová (seminar tutor) - Guaranteed by
- Mgr. Leni Lvovská, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education - Timetable of Seminar Groups
- IMAp05/01: Thu 14:00–15:50 učebna 37, H. Durnová, Z. Staňová
IMAp05/02: Thu 12:00–13:50 učebna 37, H. Durnová, Z. Staňová
IMAp05/03: Mon 11:00–12:50 učebna 37, H. Durnová, Z. Staňová
IMAp05/04: Mon 9:00–10:50 učebna 37, H. Durnová, Z. Staňová - 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-ZS15)
- 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. At the end of the course students should be able to solved chosen geometrical exercises. Weither at the end of the course students should be able to understand and explain the followed knowledge: Basic geometry terms, properties and relations between them, mainly terms included in subject matter of elementary school. Geometrical objects as a set of points. Solution of chosen proof exercises (mostly triangles, quadrangles and circles). Constructional and planimetric exercises and their solution.
- Learning outcomes
- At the end of the course students should be able to solved chosen geometrical exercises. Weither at the end of the course students should be able to understand and explain the followed knowledge: Basic geometry terms, properties and relations between them, mainly terms included in subject matter of elementary school. Geometrical objects as a set of points. Solution of chosen proof exercises (mostly triangles, quadrangles and circles). Constructional and planimetric exercises and their solution.
- 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. Chosen geometrical exercises - proofs and constructions that are related to lecture Geometry 1 (YS1BP_PGE1). Basic geometry terms, properties and relations between them, mainly terms included in subject matter of elementary school. Geometrical objects as a set of points. Solution of chosen proof exercises (mostly triangles, quadrangles and circles). Constructional and planimetric exercises and their solution.
- 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. - Listed among pre-requisites of other courses
- Enrolment Statistics (recent)
- Permalink: https://is.muni.cz/course/ped/autumn2024/IMAp05