IMAp06 Geometry 2

Faculty of Education
Spring 2022
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Leni Lvovská, Ph.D. (lecturer), Mgr. Jitka Panáčová, Ph.D. (deputy)
Mgr. Jitka Panáčová, Ph.D. (seminar tutor)
Mgr. Miroslava Tkadlecová, Ph.D. (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
IMAp06/01: Thu 12:00–13:50 učebna 32, J. Panáčová
IMAp06/02: Tue 10:00–11:50 učebna 37, M. Tkadlecová
IMAp06/03: Tue 12:00–13:50 učebna 37, M. Tkadlecová
IMAp06/04: Tue 16:00–17:50 učebna 37, L. Lvovská
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
At the end of the course students should be able to understand and explain the basic knowledge of elementary geometric objects and relations in plane and space, especially geometric mapping. The main aim is orientation in notions of system of geometry,evolution of spatial visualization and preparing of students for education of elementary schoolchildren.
Learning outcomes
At the end of the course students should be able to understand and explain the basic knowledge of elementary geometric objects and relations in plane and space, especially geometric mapping. The main aim is orientation in notions of system of geometry,evolution of spatial visualization and 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 (Flat sections of polyhedrons). Brno: Masarykova univerzita, 2009. Elportál [online]. ISSN 1802-128X. URL 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
    not specified
  • 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.
Assessment methods
Seminar. Credit, written test, homeworks.
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
The course is also listed under the following terms Spring 2020, Spring 2021, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2022, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2022/IMAp06