ZS1BK_GEO geometry

Faculty of Education
Spring 2019
Extent and Intensity
0/0/.3. 1 credit(s). Type of Completion: z (credit).
Teacher(s)
PhDr. Eva Nováková, Ph.D. (lecturer)
Guaranteed by
PhDr. Eva Nováková, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Course Enrolment Limitations
The course is also offered to the students of the fields other than those 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.
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.
Literature
  • 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 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, 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
Lectures.
Assessment methods
Colloquium, written test, discussion.
Language of instruction
Czech
Further comments (probably available only in Czech)
Information on the extent and intensity of the course: 4 hodiny.
The course is also listed under the following terms Spring 2015, Spring 2016, Spring 2017, Spring 2018, Spring 2020, Spring 2021, Spring 2022, Spring 2023.
  • Enrolment Statistics (Spring 2019, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2019/ZS1BK_GEO