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Lecturer(s)
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Příhonská Jana, doc. RNDr. Ph.D.
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Charvátová Lenka, PhDr.
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Course content
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The content of the subject is divided into several themes. Students are acquainted with various types of tasks and methods of their solution in order to develop the mathematical abilities of talented pupils. Attention is paid to the analysis of tasks from mathematical competitions. The subject is led as a seminar with separate student outputs. Students will be presented a set of tasks, which they will process and present on individual exercises. The output is a seminar work which is practically focused on the development of mathematical skills of pupils of the first grade. Practice topics: 1. Mathematical tasks at elementary school - classification of assignments, demonstrations and solution illustrations. 2. Mathematical Competitions - Nonstandard tasks in geometry and arithmetic and their solution. Tasks handled by models. 3. Experimental Tasks - Problems solved by experiment and enumeration of all possibilities. 4. Using the theory of graphs in solving problems at elementary school. 5. Development of Logical Thinking - Problems Solved by Judgment, Evaluation of Judgments. 6. Probabilistic problems - probability around us, application tasks. 7. Didactic game as a means to develop abilities to solve mathematical problems.
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Learning activities and teaching methods
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Working activities (workshops), Students' portfolio, Task-based study method
- Class attendance
- 28 hours per semester
- Home preparation for classes
- 14 hours per semester
- Semestral paper
- 18 hours per semester
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Learning outcomes
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To acquaint students with different types of tasks and methods of their solution in order to develop mathematical skills of talented pupils. Attention is paid to the analysis of tasks from mathematical competitions.
Development of mathematical abilities of primary school pupils, work with talented pupils, ability to solve mathematical problems independently
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Prerequisites
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Work with computer
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Assessment methods and criteria
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Combined examination
Active participation in seminars, elaboration and presentation of seminar paper.
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Recommended literature
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Budínová, I. a kol. Matematika pro bystré a nadané žáky.. Brno: Edika, 2016. ISBN 978-80-266-1012-0.
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Hejný, M., Kuřina, F. Dítě, škola a matematika.. Praha: Portál, 2001. ISBN 978-80-7367-397-0.
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Kaslová, M. Předmatematické činnosti v předškolním vzdělávání.. Praha: Raabe., 2010. ISBN 978-80-86307-96-1.
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Kuřina, F. Matematika a porozumění světu.. Praha: Academia., 2009. ISBN 978-80-200-1743-7.
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NOVÁK, B., MOLNÁR, J. Matematika (nejen) pro nadané (na 1. stupni ZŠ).. Olomouc: UP, 2012. ISBN 978-80-244- 3155-.
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PLOCKI, A. Pravděpodobnost kolem nás - počet pravděpodobnosti v úlohách a problémech.. Ústí nad Labem: Univerzita J. E. Purkyně., 2001. ISBN 978-80-7196-330-1.
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Zelendová, E. Rozvíjíme matematické nadání žáků ? náměty pro 1. stupeň ZŠ. NÚV Praha, 2017. ISBN 978-80-7481-190-6.
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