XMAp02 Building Geometrical Awareness

Faculty of Education
Autumn 2018
Extent and Intensity
0/2/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
PhDr. Eva Nováková, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
XMAp02/01: Tue 12:00–13:50 učebna 36, E. Nováková
XMAp02/02: Mon 8:00–9:50 učebna 10, E. Nováková
Prerequisites
Knowledge within the scope of the subject XMAp01.
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 will be able to understand and explain basic concepts of elementary geometry and solve geometric tasks. Students will be able to implement practical activities to   create elementary geometric notions and concepts in pre-school education.
Learning outcomes
Upon completion of the course the student: • will have knowledge of basic geometric shapes and solids, of set theory and of binary relations as precondition of development of the mathematical pre-literacy. • will be able to apply acquired knowledge during own educational practise for development of geometric imagination of children. • will be able to formulate and understand the contribution of geometric thinking for the development of personality of the pre-school age children.
Syllabus
  • Basic geometric entities and their properties. Basic geometric objects and geometric relationships. Types of lines. Geometric views, in particular axial symmetry and displacement. Practical activities to create elementary geometric ideas and concepts. Orientation in space, in the plane orientation (links above, below, before, under, over, under, next to the, left, right, center). Alignment in images, the perception of space-plane relationship. Basic geometric formations and geometric relations (ïndentity of abscissas, perpendicularity and parallelism of lines). Getting to know shapes, their specifications (square, round, pointed, triangle, square, circle, rectangle). Create a collage of geometric shapes to the model and of their own imagination. Getting to know the basic elements. (cube, cylinder, sphere, block, prism), and their representation. Construction of the cube in accordance with the model and of their own imagination. Intuitive perception of proportions and perspective. Symmetry, modeling, work in the square network. Geometrical shapes in the real world. Propaedeutics measurements.
Literature
  • HEJNÝ, Milan and František KUŘINA. Dítě, škola a matematika :konstruktivistické přístupy k vyučování. Vyd. 1. Praha: Portál, 2001, 187 s. ISBN 80-7178-581-4. info
  • KUPČÁKOVÁ, Marie. Geometrie ve světě dětí i dospělých. Vyd. 1. Hradec Králové: Gaudeamus, 2001, 109 s. ISBN 80-7041-493-6. info
  • Predškolská a elementárna pedagogika. Edited by Zuzana Kolláriková - Branislav Pupala. Vyd. 1. Praha: Portál, 2001, 455 s. ISBN 80-7178-585-7. info
  • FRANCOVÁ, Marta, Květoslava MATOUŠKOVÁ and Milena VAŇUROVÁ. Texty k základům elementární geometrie : pro studium učitelství 1. stupně základní školy : [v 1.-4. ročníku ZŠ] a. Vyd. 1. Brno: UJEP Brno, 1985, 107 s. 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
Written and oral test. The test includes the contents of disciplines XMAp01, XMAp02.
Language of instruction
Czech
Follow-Up Courses
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2019, autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (Autumn 2018, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2018/XMAp02