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Course, academic year 2023/2024
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Didactics of mathematics with practice III - O01210152
Title: Didaktika matematiky s praxi III
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2023
Semester: summer
E-Credits: 3
Examination process: summer s.:
Hours per week, examination: summer s.:0/3, MC [HT]
Capacity: unknown / unknown (999)
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Is provided by: OPMN0M165A
Explanation: P:0 X:2 E:1
Old code: DIMP
Note: course can be enrolled in outside the study plan
enabled for web enrollment
priority enrollment if the course is part of the study plan
Guarantor: prof. RNDr. Milan Hejný, CSc.
doc. RNDr. Darina Jirotková, Ph.D.
PhDr. Jana Slezáková, Ph.D.
Classification: Teaching > Mathematics
Pre-requisite : O01210151
Is incompatible with: OK0610152
Is pre-requisite for: O01215169, O01215269
Is interchangeable with: OK0610152
Annotation -
Last update: PhDr. Jana Slezáková, Ph.D. (30.01.2022)
Continuation of the course of Didactics of mathematics with teaching practice is focused on deep understanding of didactics of mathematics. It is supposed that students connect their knowledge and experience from their study of pedagogical and psychological disciplines, mathematics and its didactics and practice.
Aim of the course -
Last update: PhDr. Jana Slezáková, Ph.D. (30.01.2022)

- to systematize gained knowledge from courses of mathematics and didactic of mathematics
- to develop the ability of self education as a future teacher on the basis of one's own pedagogical experience.
Descriptors - Czech
Last update: PhDr. Jana Slezáková, Ph.D. (10.03.2022)

Materiály v příslušeném kurzu Moodle: https://dl1.cuni.cz/course/view.php?id=11938

 
Literature -
Last update: PhDr. Jana Slezáková, Ph.D. (30.01.2022)

Hejný, M., Kuřina, F.: Dítě, škola a matematika. Konstruktivistické přístupy k vyučování. Portál, Praha 2001, stran 187, ISBN 80-7178-581-4.

Hejný, M. aet al. Textbooks and Teacher´s guide  Matematika pro 1.-5. ročník základní školy. Nakladatelství Fraus, Plzeň 2007-2011.

Hejný, M. aet al. Textbooks and Teacher´s guide  Matematika pro 1. ročník základní školy. H-mat, o.p.s., Praha 2018.

Z. Kolláriková, B. Púpala (Eds.): Předškolní a primární pedagogika, Predškolská a elementárna pedagogika. Portál, Praha 2001, ISBN 80-7178-585-7.

Stehlíková, N.: Konstruktivistické přístupy k vyučování matematice. In: (Eds.) M. Hejný, J. Novotná, N. Stehlíková: Dvacet pět kapitol z didaktiky matematiky 1, Univerzita Karlova v Praze ? Pedagogická fakulta, Praha, 2004, ISBN 80-7290-189-3(1. sv.) s. 11-22.

Mathematics textbooks.
Teaching methods -
Last update: PhDr. Jana Slezáková, Ph.D. (30.01.2022)

Individual and group solutions of mathematical problems. Discussions.
Requirements to the exam -
Last update: PhDr. Jana Slezáková, Ph.D. (10.03.2022)

preparations for teaching, reflections, test, homeworks

 

 
Syllabus -
Last update: PhDr. Jana Slezáková, Ph.D. (30.01.2022)

1. From manipulation to imagination. Transfer of representations from physical models through pictures, icons, symbols to images.
2. Teaching arithmetic and geometry from the point of view of a) objects, b) tools a c) educational strategies. Historical view.
3. Organisation of the set of phenomena and of processes. Mainly classification, schematisation, hierarchisation.
4. Direct and dialogue educational strategy. Transmission and constructivist teaching style.
5. Mistake as a didactic phenomenon. Pupils' mistakes, teachers' mistakes.
6. Individualisation. Its two dimensions. Vygotsky's zone of proximal development.
 
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