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Lecturer(s)
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Honzík Lukáš, PhDr. Ph.D.
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Pěchoučková Šárka, PhDr. Ph.D.
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Huclová Miroslava, PhDr. Ph.D.
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Course content
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1. Basic geometric figures in the plane - broken line, přímka, polopřímka, úcečka, čtverec, krůnice, obdélník, triangle, mnohoúhelník. 2. Rules for proper drawing of basic geometric figures in the plane, typography. Geometric symbols. Metodika solution of practical problematicy. Appropriate pomůcky pro výkuu rovinných údraů. 3. Basic geometric shapes in space - kvádr, krychle, jehlan, koule, kužel, válec. 4. Rules for correct drawing and drawing of drawings. typography. Geometric symbols. Metodika solution of practical problematicy. Suitable pomůcky for teaching spatial formations. 5. Units of length, content, volume - relationships between units, solutions of practical problematics. Weight units. Basic mathematická symbolika. 6. Use of dynamic mathematical software to model plane and spatial structures, calculations using mathematical software, creation and methodology of digital educational materials and their sharing. 7. Metric properties in a plane: Úhel and its properties - the arms and apex of an angle, transfer of angles, measurement of angles, initial operations with angles, axis of an angle. 8. Methods of solving practical problems in elementary school teaching. Basic rules of drawing angles, transferring angles and measuring angles.
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Learning activities and teaching methods
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Interactive lecture, Lecture supplemented with a discussion, Lecture with practical applications, Collaborative instruction, Cooperative instruction, Discussion, Instruction based on dialogue, Multimedia supported teaching, Students' portfolio
- Presentation preparation (report) (1-10)
- 10 hours per semester
- Contact hours
- 39 hours per semester
- Preparation for formative assessments (2-20)
- 20 hours per semester
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| prerequisite |
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| Knowledge |
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| master the mathematical language at the level of the KMT/USM course output |
| clarify the difference between a propositional form and a statement |
| define the basic properties of binary relations in a set |
| specify different types of representations in a set and between sets |
| Skills |
|---|
| determine the type of propositional formula |
| solve word problems using knowledge of sets, set operations and Venn diagrams |
| identify properties of specific types of relations |
| Competences |
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| N/A |
| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| define the elementary concepts of geometry (point, line, broken line, half line, straight line, half plane, plane, triangle, angle, tetrahedron) in terms of mathematical theory |
| define the concept of congruent representation |
| specify manipulative activities that develop children's concept of symmetry |
| Skills |
|---|
| distinguish between the relative position of two lines in plane and space, the relative position of a line and a plane and the relative position of two planes |
| apply some of the principles of free parallel projection and related activities to the primary school mathematics curriculum |
| analyze activities with building blocks in terms of the development of spatial intelligence |
| demonstrate the basic properties of axial symmetry, central symmetry and plane symmetry |
| Competences |
|---|
| N/A |
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Interactive lecture |
| Lecture supplemented with a discussion |
| Practicum |
| Multimedia supported teaching |
| Collaborative instruction |
| Students' portfolio |
| Skills |
|---|
| Interactive lecture |
| Lecture with visual aids |
| Practicum |
| Multimedia supported teaching |
| Skills demonstration |
| Students' portfolio |
| Cooperative instruction |
| Collaborative instruction |
| Competences |
|---|
| Skills demonstration |
| Collaborative instruction |
| Cooperative instruction |
| Students' portfolio |
| Discussion |
| assessment methods |
|---|
| Knowledge |
|---|
| Test |
| Group presentation at a seminar |
| Skills |
|---|
| Group presentation at a seminar |
| Test |
| Continuous assessment |
| Competences |
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| Group presentation at a seminar |
| Continuous assessment |
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Recommended literature
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Cvičení z elementární aritmetiky a elementární geometrie : Určeno stud. denního studia, studia při zaměstnání a postgrad. studia. Část 2.. 1. vyd. Ostrava : Pedagogická fakulta, 1991. ISBN 80-7042-039-1.
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Učebnice, pracovní sešity a metodické příručky matematiky pro 1. st. ZŠ.
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Základy elementární geometrie pro učitelství 1. stupně ZŠ : Celost. vysokošk. učebnice pro stud. pedagog. fakult. 1. vyd. Praha : SPN, 1985.
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Bělík, Miroslav. Geometrie s didaktikou : učební text pro studium učitelství prvního stupně základní školy. Vyd. 1. V Ústí nad Labem : Univerzita J.E. Purkyně, 2007. ISBN 978-80-7044-875-5.
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FRANCOVÁ, M., LVOVSKÁ, L. Texty k základům elementární geometrie: pro studium učitelství 1. stupně základní školy. Brno: Masarykova univerzita, 2014. ISBN 978-80-210-7594-8.
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Frobisher, Anne, Frobisher, Len. Didaktika matematiky II: Porozumieť, riešiť, počítať. Bratislava, 2015. ISBN 978-80-8140-200-5.
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Hejný, Milan; Novotná, Jarmila; Stehlíková, Naďa. Dvacet pět kapitol z didaktiky matematiky. Praha : Pedagogická fakulta UK, 2004. ISBN 80-7290-189-3.
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Kuřina, František. Deset geometrických transformací. 1. vyd. Praha : Prometheus, 2002. ISBN 80-7196-231-7.
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