IMAk06 Geometry 2

Faculty of Education
Spring 2025
Extent and Intensity
0/0/.7. 2 credit(s). Type of Completion: z (credit).
In-person direct teaching
Teacher(s)
Mgr. Leni Lvovská, Ph.D. (lecturer)
Guaranteed by
Mgr. Leni Lvovská, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
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
Course objectives
The contents of subject is studies of elementary geometric objekts and relations in plane and space, especially geometric mapping. Main objectives can be summarized as follows: orientation in notions of system of geometry;evolution of spatial visualization; preparing of students for education of elementary schoolchildren.
Learning outcomes
The contents of subject is studies of elementary geometric objekts and relations in plane and space, especially geometric mapping. Main objectives can be summarized as follows: orientation in notions of system of geometry;evolution of spatial visualization; preparing of students for education of elementary schoolchildren.
Syllabus
  • Basic terms of elementary geometry in 3D space, their properties and relations. Reciprocal position of points, lines and planes. Solution of positional exercises in 3D space - intersection of line and plane and intersection of two planes. Free parallel projection, principle and it's aplication during solution of positional exercises. Aplication - intersection of pyramid and cube with plane. Elementary geometrical solid bodies. Polyhedra, their free parallel projection. Meshes of polyhedra. Geometrical solid bodies in subject matter of elementary school. Projection, geometrical projections in plane and in 3D space. Congruent projections. Congruence of geometrical solid bodies. Symetry of geometrical solid bodies. Composition of projections. Group of planar congruencies. Aplication of congruent projections in subject matter of elementary school.
Literature
    recommended literature
  • FRANCOVÁ, Marta and Milena VAŇUROVÁ. Rovinné řezy mnohostěnů. Elportál. Brno: Masarykova univerzita, 2009. ISSN 1802-128X. URL info
  • FRANCOVÁ, Marta and Květoslava MATOUŠKOVÁ. Kapitoly ze základů stereometrie : pro studium učitelství 1. stupně základní školy. 2. vydání. Brno: Masarykova univerzita, 2004, 60 stran. ISBN 8021035714. 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
    not specified
  • 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
  • FRANCOVÁ, Marta, Květoslava MATOUŠKOVÁ and Milena VAŇUROVÁ. Sbírka úloh z elementární geometrie. 2. vyd. Brno: Masarykova univerzita, 2004, 86 s. ISBN 8021035706. 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
Seminar, lectures
Assessment methods
Seminar. Credit, written test, homeworks.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: in blocks.
Information on the extent and intensity of the course: 8 konzultací.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2018, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024.
  • Enrolment Statistics (Spring 2025, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2025/IMAk06