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Lecturer(s)
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Tirpáková Anna, prof. RNDr. CSc.
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Course content
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- Creation of mathematical problems for primary school pupils. - Creation of mathematical tests for primary school pupils (according to the set specification of development thought processes). - Solutions and methods of evaluation of mathematical problems. - Examples of mathematical problems and methods of their solution in the context of transnational and national measurements. - Specifics of working with gifted children in mathematics. - Mathematical competitions at the 1st stage of primary school (national, regional), methods of administration, specifics of rules. - Math game. - Typology of didactic games in mathematics and their importance for the development of mathematical competencies of students' primary education. - Creation of mathematical didactic materials. - Critical evaluation of mathematical didactic materials. - Foreign educational projects in mathematics. - Alternative educational projects in mathematics. - Use of ICT tools in teaching primary mathematics. - Didactic software programs to support the teaching of mathematics and criteria for its evaluation, especially from aspects of quality (mathematical expertise and didactic correctness).
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Learning activities and teaching methods
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Methods for working with texts (Textbook, book), Practice exercises, Analysis of a presentation
- Participation in classes
- 28 hours per semester
- Term paper
- 10 hours per semester
- Home preparation for classes
- 10 hours per semester
- Preparation for course credit
- 12 hours per semester
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| prerequisite |
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| Knowledge |
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| Not specified. |
| Not specified. |
| learning outcomes |
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| specify the basic components of mathematical literacy |
| specify the basic components of mathematical literacy |
| describe the importance of statistically oriented mathematical problems for learning mathematics |
| describe the importance of statistically oriented mathematical problems for learning mathematics |
| explain the importance of tasks developing financial literacy |
| explain the importance of tasks developing financial literacy |
| comprehensively explain the use of mathematical problems with an emphasis on word problems focused on financial literacy in teaching mathematics |
| comprehensively explain the use of mathematical problems with an emphasis on word problems focused on financial literacy in teaching mathematics |
| characterize the criteria of tasks focused on data analysis and evaluation of the degree of probability |
| characterize the criteria of tasks focused on data analysis and evaluation of the degree of probability |
| Skills |
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| to solve problems focused on combinatorial thinking |
| to solve problems focused on combinatorial thinking |
| determine the basic factors of cognitive literacy |
| determine the basic factors of cognitive literacy |
| use different strategies when solving tasks focused on financial literacy |
| use different strategies when solving tasks focused on financial literacy |
| design and solve problems focused on students' combinatorial ideas |
| design and solve problems focused on students' combinatorial ideas |
| propose levels of combinatorially oriented mathematical problems |
| propose levels of combinatorially oriented mathematical problems |
| teaching methods |
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| Knowledge |
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| Methods for working with texts (Textbook, book) |
| Methods for working with texts (Textbook, book) |
| Analysis of a presentation |
| Practice exercises |
| Practice exercises |
| Analysis of a presentation |
| assessment methods |
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| Analysis of seminar paper |
| Didactic test |
| Didactic test |
| Analysis of seminar paper |
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Recommended literature
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Hejný, M., & Kuřina, F. Dítě, škola, matematika: konstruktivistické přístupy k vyučování. Praha: Portál, 2009.
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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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Kolláriková, Z., & Pupala, B. Předškolní a primární pedagogika.. Praha: Portál, 2010.
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Líška, I., Riečan, B., & Tirpáková, A. An Alternative to Real Number Axioms. Open Acces Journal, 7(3), 1-6.. 2018.
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Royal, B. Principy kritického myšlení. Praha: Ikar, 2015.
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Vágnerová, M. Vývojová psychologie I - Dětství a dospívání. Praha: Karolinum, 2005. ISBN 80-246-0956-8.
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