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Lecturer(s)
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Tirpáková Anna, prof. RNDr. CSc.
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Course content
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-Basic concepts of Euclidian geometry (point, segment, straight line, semi -straight line, polyline). -Triangle and its properties, plane, half-plane, relative position of lines and panes. -Geometric relations of incidence, order, congruence, parallelism. Convex and non-convex sets. Convex and non-convex angles. -Round, circle, ball, ball surface, arc of circle, polygon, tetragon, parallelogram. -Bodies. Free parallel projection. Networks of geometric bodies. -Comparing line segments, line segment operations. Congruence of angles and triangles. Comparing angles and operations with angles. Congruent displays in plane - identity, axis symmetry, centre symmetry, displacement, rotation. Composition of congruent displays in plane, congruence group. - Measure of line segment and angle. Measurement units of segments and angles. Measure of a planar formation. Circumference and area of rectangle and square. Length of circle. Use of square network. Measure of spatial formation. Volume of bodies. Metric relations among geometric formations. Construction tasks. - Axiomatic system. Models of Euclidian and non-Euclidian geometry. Historical notes.
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Learning activities and teaching methods
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Monologic (Exposition, lecture, briefing), Dialogic (Discussion, conversation, brainstorming), Analysis of a presentation
- Participation in classes
- 28 hours per semester
- Home preparation for classes
- 12 hours per semester
- Term paper
- 25 hours per semester
- Preparation for course credit
- 25 hours per semester
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| prerequisite |
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| Knowledge |
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| not specified |
| not specified |
| learning outcomes |
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| Students gain knowledge and skills in the field of geometry for lower primary school teaching. Students acquire an overview of geometric concepts in plane and space and about geometric displays and theories of measure. |
| Students gain knowledge and skills in the field of geometry for lower primary school teaching. Students acquire an overview of geometric concepts in plane and space and about geometric displays and theories of measure. |
| teaching methods |
|---|
| Monologic (Exposition, lecture, briefing) |
| Dialogic (Discussion, conversation, brainstorming) |
| Dialogic (Discussion, conversation, brainstorming) |
| Analysis of a presentation |
| Analysis of a presentation |
| Monologic (Exposition, lecture, briefing) |
| assessment methods |
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| Didactic test |
| Analysis of seminar paper |
| Analysis of seminar paper |
| Didactic test |
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Recommended literature
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DIVÍŠEK, F. a kol. Didaktika matematiky pro učitelství 1. stupně ZŠ. Praha: SPN, 1989.
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JIROTKOVÁ, D. Cesty ke zkvalitňování výuky geometrie. Praha: UK, 2010.
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KOUŘIM, J. Základy elementární geometrie pro učitelství 1. stupně ZŠ.. Praha: SPN, 1985.
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KUŘINA, F. Deset pohledů na geometrii. Praha: Albra, 1996.
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KUŘINA, F., PŮLPÁN, Z. Podivuhodný svět elementární matematiky. Praha: Akademia, 2006.
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KUŘINA, F. 10 geometrickýcvh transformací. Praha: Prometheus, 2002.
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MOLNÁR, J., PERNÝ, J., STOPENOVÁ, A. Prostorová pr?edstavivost a prostr?edky k jejímu rozvoji. Praha: JČMF, 2006.
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STOPENOVÁ, A. Matematika II. Geometrie s didaktikou. Olomouc: UPOL, 1999.
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STOPENOVÁ, A. Vybrané úlohy z elementární geometrie pro studenty učitelství 1. stupně ZŠ. Olomouc: UPOL.
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ŽILKOVÁ, K. Geometria [online]. Trnava: PF Trnavská univerzita, 2013.
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ŽILKOVÁ, K., ŽIDEK, O. Manipulačná geometria [online]. Bratislava: UK, 2013.
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