IMAk05 Geometry 1

Faculty of Education
autumn 2020
Extent and Intensity
0/0/.7. 3 credit(s). Type of Completion: k (colloquium).
Teacher(s)
Mgr. Leni Lvovská, 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
IMAk05/01: Fri 23. 10. 9:00–11:50 učebna 37, Fri 6. 11. 15:00–17:50 učebna 37, Fri 20. 11. 15:00–16:50 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
The aim of course is the study of the elementary (Euklidean) geometry. Hilbertś system of axioms - concept of axioms, elementary notions 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. Main objectives can be summarized as follows: to extend hight school knowledges of elementary geometry; to learn and to use right terminology, phrazeology and symbols; to understand relacions; to apply knowledges at the solution of exercises.
Learning outcomes
The aim of course is the study of the elementary (Euklidean) geometry. Hilbertś system of axioms - concept of axioms, elementary notions 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. Main objectives can be summarized as follows: to extend hight school knowledges of elementary geometry; to learn and to use right terminology, phrazeology and symbols; to understand relacions; to apply knowledges at the solution of exercises.
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. Solution of exercises.
Literature
    required 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
    recommended literature
  • 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
    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
  • SEKANINA, Milan and Anna SEKANINOVÁ. Vybrané kapitoly z elementární geometrie. 1. vyd. Brno: Rektorát UJEP Brno, 1979, 99 s. info
Teaching methods
Lectures.
Assessment methods
Colloquium, written test, discussion.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
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 Autumn 2018, Autumn 2019, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (autumn 2020, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2020/IMAk05