Course: Didactics of mathematics II

« Back
Course title Didactics of mathematics II
Course code KMA/DMA2
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Hošpesová Alena, doc. PhDr. Ph.D.
  • Koldová Helena, doc. RNDr. Ph.D.
Course content
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

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Activating (simulations, games, drama)
Learning outcomes
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.
Prerequisites
Basic orientation in didactics of mathematics.
KMA/DMA1

Assessment methods and criteria
Written examination

Active participation in seminars, seminar work and its presentation. Portfolio management.
Recommended literature
  • Rámcový vzdělávací program pro předškolní vzdělávání. (2004). www.vuppraha.cz..
  • Učebnice matematiky pro základní školy.
  • 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.
  • FUCHS, E. a kol.:. Standardy a testové úlohy z matematiky pro ZŠ. Praha : Prometheus. 1998.
  • FUCHS, E., HOŠPESOVÁ, A., LIŠKOVÁ, H.:. Postavení matematiky ve školním vzdělávacím programu. Základní vzdělávání. Praha : Prometheus, 80 str. 2006.
  • HEJNÝ, M. a kol.:. Teória vyučovania matematiky 2. Bratislava : SPN. 1990.
  • HEJNÝ, M., KUŘINA, F.:. Dítě, škola matematika: konstruktivistické přístupy k vyučování. Praha : Portál. 2001.
  • HEJNÝ, M., NOVOTNÁ, J., STEHLÍKOVÁ, N. (Eds.):. Dvacet pět kapitol z didaktiky matematiky. Praha : UK v Praze, PedF. 2004.
  • 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.
  • KOŠČ, L.:. Psychológia matematických schopností. Bratislava, SPN, 1972.
  • KUBĺNOVÁ, M.:. Projekty ve vyučování matematice, cesta k tvořivosti a samostatnosti. Praha : PedF UK v Praze. 2002.
  • MOJŽÍŠEK, L.:. Vyučovací metody. Praha : SPN. 1975.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Teacher training in mathematics (2) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Teacher training in mathematics (2) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Teacher training in mathematics (2) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer