IMAp16 The Mathematics 6

Faculty of Education
Spring 2025
Extent and Intensity
0/1/0. 2 credit(s). Type of Completion: z (credit).
In-person direct teaching
Teacher(s)
Mgr. Leni Lvovská, Ph.D. (seminar tutor)
RNDr. Jakub Novák (seminar tutor)
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 aim of teaching is improvement of knowledge gained in subject Geometry II.
Learning outcomes
The aim of teaching is improvement of knowledge gained in subject Geometry II.
Syllabus
  • Symmetries, general properties of symmetries, types of symmetries in the plane. Fixed points and figures.
  • Composition of symmetries, group of symmetries. Direct and indirect symmetries.
  • Construction problems.
  • Parallel projection. Representation of basic solids in parallel projection.
  • Incidence relations in space, relative positions of lines, planes, and solids.
  • Cross sections of solids.
  • Intersections of two planes, of a plane and a line. Intersections of a line with a solid.
  • Actual sizes of cross sections and nets of solids..
Literature
    required literature
  • LVOVSKÁ, Leni and Jakub NOVÁK. Sbírka úloh z elementární geometrie pro studium učitelství 1. stupně základní školy (A collection of exercises in elementary geometry for students of primary school teaching). 1st ed. Masarykova univerzita, 2024, 59 pp. ISBN 978-80-280-0549-8. info
    not specified
  • 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
Seminar
Assessment methods
Seminar. Credit, class discussion.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught every week.
The course is also listed under the following terms Spring 2019, Spring 2020, Spring 2021, Spring 2023, Spring 2024.
  • Enrolment Statistics (recent)
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