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Lecturer(s)
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Císařová Alena, PhDr. Ph.D.
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Bílek Jiřina, doc. RNDr. CSc.
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Course content
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1. RVP (Framework educational program) Mathematics and its applications, TO (education area) geometry in plane and space, non-standard tasks and problems, standard tasks according to RVP 2. Elements of drawing, basic geometric shapes 3. Plane shapes, polygonals, circles 4. Space shapes and their representation 5. Measure - perimeters and area of plane shapes, surface area and volume of space shapes 6. Pythagorean theorem in plane and space 7. Trigonometric functions 8. Symmetric and congruent shapes, symmetries 9. Similar shapes, similarity transformation 10. Sets of points with given properties, geometric construction tasks 11. Spatial imagination and its development through problems 12. Elementary combinatorial problems 13. Math competitions and their importance for motivation
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Learning activities and teaching methods
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Interactive lecture, Lecture supplemented with a discussion, Students' portfolio, Skills demonstration, Lecture with visual aids, Seminar
- Preparation for formative assessments (2-20)
- 20 hours per semester
- Presentation preparation (report) (1-10)
- 8 hours per semester
- Preparation for an examination (30-60)
- 50 hours per semester
- Contact hours
- 26 hours per semester
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| prerequisite |
|---|
| Knowledge |
|---|
| attain knowledge at the level of a graduate of a bachelor's degree in mathematics |
| attain the knowledge required to graduate in didactic subjects |
| Skills |
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| use graduate level skills in mathematics at undergraduate level |
| Competences |
|---|
| N/A |
| apply the knowledge of general didactics |
| learning outcomes |
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| Knowledge |
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| justify the procedures for determining the measure of various geometric figures |
| know the correct expressions and terms related to geometry |
| Skills |
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| represent spatial formations in the plane |
| demonstrate similar and identical formations on suitable models |
| use geometry teaching aids to explain concepts |
| make a simple geometric construction with a table ruler and compass |
| draw using interactive whiteboard tools |
| Competences |
|---|
| N/A |
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Seminar |
| Students' portfolio |
| Self-study of literature |
| Seminar classes |
| One-to-One tutorial |
| Skills |
|---|
| Skills demonstration |
| Self-study of literature |
| Seminar |
| Competences |
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| Lecture |
| assessment methods |
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| Knowledge |
|---|
| Oral exam |
| Test |
| Individual presentation at a seminar |
| Group presentation at a seminar |
| Skills |
|---|
| Test |
| Skills demonstration during practicum |
| Individual presentation at a seminar |
| Competences |
|---|
| Oral exam |
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Recommended literature
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Učebnice pro ZŠ a nižší třídy gymnázií.
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Blažková, Růžena; Budínová, Irena. Matematika pro bystré a nadané žáky. 2. díl. 1. vydání. 2017. ISBN 978-80-266-1157-8.
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Etzold, Heiko; Petzschler, Ines. Nápadník aktivit a her do hodin matematiky. 1. vyd. Brno : Edika, 2013. ISBN 978-80-266-0174-6.
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Frobisher, Anne, Frobisher, Len. Didaktika matematiky: Porozumieť, riešiť, počítať. Bratislava, 2015. ISBN 978-80-8140-180-0.
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Polák, Josef. Didaktika matematiky : Jak učit matematiku zajímavě a užitečně. 1. vyd. Plzeň : Fraus, 2014. ISBN 978-80-7238-449-5.
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Rendl, Miroslav, Vondrová, Naďa. Kritická místa matematiky na základní škole očima učitelů. Praha : UK, 2013. ISBN 978-80-7290-723-.
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Van de Walle, John A. Elementary and middle school mathematics: teaching developmentally. Harlow, 2016. ISBN 978-1-292-09769-5.
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Vondrová, N. Úvod do didaktiky matematiky. Praha, 2014. ISBN 978-80-7290-659-8.
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