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Lecturer(s)
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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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Theoretical introduction into following themes: Geometric transformations identical and similar in plane, in space. Measure of geometric figures. Sets of points of properties. Constructive exercises - their classification, phases, and methods of solution. Axiomatic construction of geometry. Evaluation pupils - function, methods, and forms. Lectures: 1.- 2.Geometrical projections equal: In plane ? central and axis symmetry, shift, rotation, identity ? properties of projection, adding of projections. Projection in space. 3.- 4. Geometrical projections similar: Similarity ? properties, of projection, use. 5.- 6.The size of geometrical patterns, Properties of the size. Length of line, angle, content patterns, body volume. Units of measurement. 7.- 8.The sets of points of certain characteristic ? examples. Construction tasks, phases and methods of solving. 9.-10. Axiomatic bases of geometry: The sets and groups pf axioms, models of geometries. 11.-12. The Work with GeoGebra. 13.,14. Reserve. Seminars: The themes lectured in the past week lecture.
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing), Dialogue metods(conversation,discussion,brainstorming)
- Class attendance
- 28 hours per semester
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Learning outcomes
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Theoretical introduction into following themes: Geometric transformations identical and similar in plane, in space. Measure of geometric figures. Sets of points of properties. Constructive exercises - their classification, phases, and methods of solution. Axiomatic construction of geometry. Evaluation pupils - function, methods, and forms.
Theoretical piece of knowledge and practical acquirements from required area.
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Prerequisites
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credit EG1
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Assessment methods and criteria
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Oral exam, Presentation of artistic and creative activities
Credit, see syllabus. Secondary school mathematics and Elementary geometry 1.
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Recommended literature
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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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