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Lecturer(s)
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Pavelková Marie, Mgr. Ph.D.
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Tirpáková Anna, prof. RNDr. CSc.
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Course content
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- Model situations of education activity in Mathematics education. Motivation, new topic presentation, fixation and evaluation of the results of education in various years of primary school. - Mathematical problems. - Educational methods. Methods of solving mathematical problems (inductive, deductive, synthetic, analytic, Experimental, etc.). - Forms of work in Mathematics education. Work with gifted pupils and with pupils with specific learning needs. - The process of implementing and acquiring mathematical terms. Basic stages of the conceptual process. - The importance of practical examples in Mathematics education. - Textbooks, tools, didactic and information technology. Using cognitive technologies in Mathematics education (CAS systems, dynamic geometry environment, etc.). - Solution of problems in didactic tests. Using basic statistics tools for a Mathematics teacher's work. Work with data. - Mathematic competitions and other forms of acquiring and developing pupils' interest in Mathematics. - Basic stages of the history of Mathematics as a science. History of Mathematics education.
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Learning activities and teaching methods
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Monologic (Exposition, lecture, briefing), Methods for working with texts (Textbook, book), Exercises on PC, Practice exercises
- Preparation for course credit
- 20 hours per semester
- Preparation for examination
- 30 hours per semester
- Home preparation for classes
- 10 hours per semester
- Educational trip
- 4 hours per semester
- Participation in classes
- 56 hours per semester
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| prerequisite |
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| Knowledge |
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| nespecifikováno |
| nespecifikováno |
| learning outcomes |
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| The student will have knowledge of education methods and procedures appropriate for primary school for motivation, fixation of the subject, and evaluation of the results of education, knowledge of Mathematics textbooks used and of education tools used. |
| The student will have knowledge of education methods and procedures appropriate for primary school for motivation, fixation of the subject, and evaluation of the results of education, knowledge of Mathematics textbooks used and of education tools used. |
| interpret the theoretical starting points and practical aspects of mathematics didactics |
| interpret the theoretical starting points and practical aspects of mathematics didactics |
| define and sort mathematical problems with an emphasis on word problems in teaching mathematics |
| define and sort mathematical problems with an emphasis on word problems in teaching mathematics |
| explain the methodology of teaching geometry at primary and secondary schools |
| explain the methodology of teaching geometry at primary and secondary schools |
| creatively bring new solutions to the given task |
| creatively bring new solutions to the given task |
| analyze and present selected mathematics curriculum within school practice |
| analyze and present selected mathematics curriculum within school practice |
| Skills |
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| to evaluate and justify the results of mathematical problems, to evaluate different methods of students' solutions |
| to evaluate and justify the results of mathematical problems, to evaluate different methods of students' solutions |
| interpret and apply the basic principles of evaluating the performance of pupils in mathematics |
| interpret and apply the basic principles of evaluating the performance of pupils in mathematics |
| adequately use mathematical terminology in professional communication |
| adequately use mathematical terminology in professional communication |
| mathematize real situations and create mathematical models |
| mathematize real situations and create mathematical models |
| work with pupils according to the pupils' needs, interests and abilities |
| work with pupils according to the pupils' needs, interests and abilities |
| teaching methods |
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| Knowledge |
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| Monologic (Exposition, lecture, briefing) |
| Practice exercises |
| Methods for working with texts (Textbook, book) |
| Monologic (Exposition, lecture, briefing) |
| Practice exercises |
| Methods for working with texts (Textbook, book) |
| Exercises on PC |
| Exercises on PC |
| assessment methods |
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| Composite examination (Written part + oral part) |
| Composite examination (Written part + oral part) |
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Recommended literature
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Blažková, R. Dyskalkulie a další specifické poruchy učení v matematice. Brno: Masarykova univerzita, 2009.
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Coufalová, J. Matematika s didaktikou pro 1. ročník učitelství 1. stupně ZŠ. Plzeň: Západočeská univerzita, 2004.
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Divíšek, F. a kol. Didaktika matematiky pro učitelství 1. stupně ZŠ. Praha: SPN, 1989.
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Hejný, M., Kuřina, F. Dítě, škola a matematika: konstruktivistické přístupy k vyučování. Praha: Portál, 2001.
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Hejný, M. Vyučování matematice orientované na budování schémat: aritmetika 1. stupně. Praha: UK, 2014.
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Jirotková, D. Cesty ke zkvalitňování výuky geometrie. Praha: UK, 2010.
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Molnár, J. Učebnice matek¨matiky a klíčové kompetence. Olomouc: UPOL, 2007.
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Novák, B. Vybrané kapitoly z didaktiky matematiky. Olomouc: UPOL, 2004.
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