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Lecturer(s)
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Příhonská Jana, doc. RNDr. Ph.D.
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Břehovský Jiří, Mgr. Ph.D.
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Course content
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Lectures: 1. The subject of didactics of mathematics in relation to teaching at elementary school. 2. History of school mathematics at elementary school. 3. Didactic principles in teaching mathematics at elementary school. Student's learning process. 4. Textbooks and tutorials - Use in teaching mathematics, teacher activity and pupil activity. Preparation for lesson - Practical processing of topics - propositional logic, development of logical thinking. 5. Organizing the teaching of mathematics at elementary school. 6. Communication in mathematics. 7. Mother tongue in teaching mathematics at elementary school. Exercises: 1. Work with a textbook, exercise book and other printed resources. 2. Preparing for a class - practical processing of discussed topics. 3. Didactic game, mathematical exercises as activating activities in mathematics lessons. 4. Building the lessons taught at the low-class classroom. Work in departments, changing forms of work. 5. Table as tool for solving tasks. 6. New Approaches to Teaching Mathematics - Teaching by Hejny´method. 7. Environment in Sheep (Hejny) Mathematics.
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing), Dialogue metods(conversation,discussion,brainstorming), Written assignment presentation and defence
- Class attendance
- 28 hours per semester
- Preparation for credit
- 14 hours per semester
- Home preparation for classes
- 18 hours per semester
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Learning outcomes
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The aim of the lectures and seminars is to equip students with the knowledge, habits and skills necessary to teach all components of arithmetic at the first level of primary school - number fields, terms, working with word problems. In addition, to introduce students to methodological procedures in teaching the curriculum, working with teaching aids, literature and the use of arithmetic in practice. In the lectures, students are introduced to the theoretical issues of didactics of mathematics and arithmetic. Seminars are devoted to the practical use of theoretical knowledge and students' own work.
Knowledge of essential concepts of arithmetics, intuitive set theory and propositional caculus. Acquiring basic skills for teaching mathematics at level 1.
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Prerequisites
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Knowledge of secondary school mathematics. Knowledge of Mathematics Course 1 - 4
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Assessment methods and criteria
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Combined examination, Student's performance analysis, Presentation of acquired knowledge via paper
Participation in seminars, presentations, seminar work. Written and oral exam.
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Recommended literature
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BUDÍNOVÁ, I. Přístupy nadaných žáků 1. a 2. stupně základní školy k řešení některých typů úloh v matematice. Brno. 2018.
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Divíšek, J. a kol. Didaktika matematiky pro učitelství 1. stupně ZŠ. Praha, SPN, 1989.
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HEJNÝ, M.. In Dvacet pět kapitol z didaktiky matematiky 2. Praha. 2004.
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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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HEJNÝ, M., NOVOTNÁ, J., STEHLÍKOVÁ, N. Dvacet pět kapitol z didaktiky matematiky ? 1. díl.. online. UK Praha, 2004. ISBN 80-7290-189-3.
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HEJNÝ, M. Záporná čísla. In Dvacet pět kapitol z didaktiky matematiky 2. Praha. 2004.
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HOŠPESOVÁ, A. a kol. Matematická gramotnost a vyučování matematice. České Budějovice. 2011.
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KASLOVÁ, M. Předmatematické činnosti v předškolním vzdělávání.. Praha: Raabe., 2010. ISBN 978-80-86307-96-1.
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Križalkovič, K. a kol. Didaktika matematiky na 1. stupni ZŠ. Bratislava, SPN, 1990.
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KUBÍNOVÁ. M.. Projekty ve vyučování matematice, cesta k tvořivosti a samostatnosti. Praha. 2002.
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KUŘINA, F. a kol. Matematika a porozumění světu.. Praha: Academia., 2009. ISBN 978-80-200-1.
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POLÁK, J. Didaktika matematiky. Jak učit matematiku zajímavě a užitečně. II. Část. Obecná didaktika matematiky. Plzeň. 2016.
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RENDL, M., VONDROVÁ, N. Kritická místa matematiky na základní škole očima učitelů. online. UK Praha, 2013. ISBN 978-80-7290-723-6.
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VONDROVÁ, N.. Matematická slovní úloha. Praha. 2020.
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