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Lecturer(s)
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Charvátová Lenka, PhDr.
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Bímová Daniela, Mgr. Ph.D.
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Příhonská Jana, doc. RNDr. Ph.D.
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Course content
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Lectures: In the lectures, a brief theoretical introduction to the mentioned topics and introduction to basic concepts from the didactic point of view are done. All concepts will be interpreted from the point of view of their application in the teaching of mathematics at the primary school level, while the accuracy of the interpretation is subordinate to this aspect. 1. Congruent geometric mappings in the plane and in the space (centre, axial, and planar symmetry, translation, rotation, identity) - properties of mappings, usage, compositions of mappings. 3. Similar geometric mappings (similarity, enlargements) - properties of mappings, usage. 5. Sets of points of given properties - examples. Constructive problems, phases and methods for their solving. 7. Binary operations in geometry. 9. Binary relations in geometry. 11. Work with GeoGebra - tasks focused on the themes taught. 13. Reserve (didactic games and activities in geometry). Seminars: The seminars are taught on the basis of the previous lectures, including practical applications of the primary school level of mathematics. 2. Congruent mappings, determinations, definitions, examples of congruent mappings, usage. Compositions of congruent mappings. 4. Similar mappings, determinations, definitions, examples of similar mappings, usage. 6. Construction tasks, phases, and solution methods; using sets of points of the given property, using mappings, and basic construction. 8. Binary operations in geometry. 10. Binary relations in geometry. 12. Work with GeoGebra - tasks focused on the discussed topics.
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing), Dialogue metods(conversation,discussion,brainstorming), Self-study (text study, reading, problematic tasks, practical tasks, experiments, research, written assignments), Seminár, E-learning, Students' portfolio
- Class attendance
- 28 hours per semester
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Learning outcomes
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A brief theoretical introduction into the themes of congruent and similar geometrical mappings in the plane and in the space. Examples of sets of points of given properties. Binary relations and operations in geometry. Constructive problems - their classification, phases and methods of solution.
Theoretical knowledge and practical skills from the required area. Knowledge of elementary and secondary school geometry, understanding of the basic terms of geometry, and the connections among them.
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Prerequisites
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Passing the course Elementary geometry 1.
KMA/PEG1
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Assessment methods and criteria
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Oral exam, Presentation of artistic and creative activities
Knowledge of geometry for primary and secondary school and completion of the Elementary Geometry 1 course. Requirements for successful credit completion: - active participation in exercises, - successful submission of assigned seminar work. Requirements for passing the exam: - completion of credit, - the scope of knowledge is defined by the syllabuses of the courses Elementary Geometry 1 and Elementary Geometry 2.
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Recommended literature
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GeoGebra příručka.
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Nápadník aktivit a her do hodin matematiky pro 2. stupeň ZŠ, SŠ a gymnázia. Brno, 2013. ISBN 978-80-266-0174-6.
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Divíšek, J. a kol. Didaktika matematiky pro učitelství 1. stupně ZŠ. Praha, SPN 1989.. &, &.
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Kouřim, J. a kol. Základy elementární geometrie pro učitelství l. st. ZŠ. Praha, SPN, 1985.
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