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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: Planimetry - processing of terminology. Stereometry - processing of terminology. Graphing solids - basic types of projection. Relations - comparing geometry formations and their mutual positions. Operations - composing transformation. Motivation and effectivity teaching process. Lectures: 1.- 2. Concept of school geometry. Planimetry. Basic teminology. Point, line, plane. Segment, half-line, half-plane, angle, plane figures. 3.- 4. Stereometry. Basic terminology. Space, half-space. Space figures, grid of the shapes. 5.- 6. Visualisation of geometrical figures. Visualisation methods - projections. 7.- 8. Binary relations in geometry. Congruency, identity and similarity. Parallelism, skew lines, skew planes, concurrence, perpendicularity. Relative positions of figures. 9.-10. Binary operations in geometry. Graphical sum and difference of segments, (angles). Operations with poit sets. Composition of congruent mappings. 11.-12. Effectivity - forms of work. Motivation - methods and functions. 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)
- Class attendance
- 28 hours per semester
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Learning outcomes
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Theoretical introduction into following themes: Planimetry - processing of terminology. Stereometry - processing of terminology. Graphing solids - basic types of projection. Relations - comparing geometry formations and their mutual positions. Operations - composing transformation. Motivation and effectivity teaching process.
Theoretical piece of knowledge and practical acquirements from required area.
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Prerequisites
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Knowledge of secondary school mathematics.
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Assessment methods and criteria
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Presentation of artistic and creative activities
Presence in seminars. Pass 2 tests. Semestral work. Secondary school mathematics. Semestral work - making of teaching utilities in geometry, elaboration of explanatory learning lesson.
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Recommended literature
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Osnovy a metodické příručky k těmto učebnicím..
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Rámcový vzdělávací program pro ZV..
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Učebnice matematiky pro 1.-5. ročník základní školy..
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Vzdělávací program Základní škola. Praha, Fortuna 1996..
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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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Perný, J. Kapitoly z elementární geometrie I. Liberec, TUL, 2009..
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