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Lecturer(s)
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Hošpesová Alena, doc. PhDr. Ph.D.
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Koldová Helena, doc. RNDr. Ph.D.
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Course content
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1. The work of mathematics teacher, its planning, concept mapping, standards in mathematics teaching, Bloom's taxonomy Plane geometry - phylogenezis 2. School educational programme and its realization, pupils' competences, intersection issues 3. Evaluation and assessment in mathematics lesson 4. Space imagination and its development 5. Computers in mathematics education 6. History of mathematics and ins education 7. Textbooks in the teaching mathematics 8. Project teaching in mathematics 9. Plane geometry - didactic interpretation 10. Geometric constructions, measuring of lengths, angles, area, and volume 11. Space geometry 12. Solids, volumes and surface areas 13. Goniometry and trigonometry 14. Analytic geometry
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Activating (simulations, games, drama)
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Learning outcomes
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The course deals with the problems of teaching and learning chosen mathematics topics.
The formation of the bases of subject didactic competence i.e. the knowledge of mathematical content, its didactic elaboration, and the ways of realization in school practice.
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Prerequisites
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Basic orientation in didactics of mathematics.
KMA/DMA1
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Assessment methods and criteria
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Written examination
Active participation in seminars, seminar work and its presentation. Portfolio management.
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Recommended literature
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Rámcový vzdělávací program pro předškolní vzdělávání. (2004). www.vuppraha.cz..
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Učebnice matematiky pro základní školy.
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BATTISTA, M.T.:. The development of geometric and spatial thinking. In F.K. Lester, Jr. (ed.) Second Handbook of research on mathematics teaching and learning. Charlotte : Information Age Publishing., str. 843-908. 2007.
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FUCHS, E. a kol.:. Standardy a testové úlohy z matematiky pro ZŠ. Praha : Prometheus. 1998.
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FUCHS, E., HOŠPESOVÁ, A., LIŠKOVÁ, H.:. Postavení matematiky ve školním vzdělávacím programu. Základní vzdělávání. Praha : Prometheus, 80 str. 2006.
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HEJNÝ, M. a kol.:. Teória vyučovania matematiky 2. Bratislava : SPN. 1990.
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HEJNÝ, M., KUŘINA, F.:. Dítě, škola matematika: konstruktivistické přístupy k vyučování. Praha : Portál. 2001.
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HEJNÝ, M., NOVOTNÁ, J., STEHLÍKOVÁ, N. (Eds.):. Dvacet pět kapitol z didaktiky matematiky. Praha : UK v Praze, PedF. 2004.
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KIERAN, C.:. Learning and teaching of algebra at the Middle school through college levels: building meaning for symbols and their manipulation. In F.K. Lester, Jr. (ed.) Second Handbook of research on mathematics teaching and learning. Charlotte : Information Age Publishing., str. 707-762. 2007.
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KOŠČ, L.:. Psychológia matematických schopností. Bratislava, SPN, 1972.
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KUBĺNOVÁ, M.:. Projekty ve vyučování matematice, cesta k tvořivosti a samostatnosti. Praha : PedF UK v Praze. 2002.
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MOJŽÍŠEK, L.:. Vyučovací metody. Praha : SPN. 1975.
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