Lecturer(s)
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Janečková Miroslava, PaedDr. PhD.
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Course content
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1. Mathematical abilities. Mathematics and logical-mathematical, spatial and verbal intelligence. 2. Task as an educational resource. Typology of tasks. 3. Solution of the problem as the solution of the problem situation. 4. Management of students activities. Mathematical task in the educational process. 5. Use of teaching aids in problem solving. 6.Methods solving of mathematical problems. 7. Non-standard tasks. 8. Use of graphic representation in problem solving. 9. Solving problems in mathematical competitions. 10. Working with an error in problem solving. Self-assessment of the student in problem solving, feedback from teachers. 11. Didactic game, the efficiency of its use. 12. Analysis theses focused on problem solving. 13. Teacher's portfolio of learning tasks, teaching materials, information sources. 14. Evaluation of teaching and assigned tasks.
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Learning activities and teaching methods
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unspecified, unspecified, unspecified
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Learning outcomes
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The aim of the course is to develop student skills to deal with broad issues of mathematical problems and their appropriate inclusion in the educational process.
Student: - Knows the basic typology of mathematical learning tasks, - Can include roles in the educational process while respecting the individual needs of students, - Know the basic strategies of problem solving, - Can create a math problem, can change the task properties - Can use teaching aids in problem solving.
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Prerequisites
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The subject requires no specific prerequisites.
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Assessment methods and criteria
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unspecified
Active participation in the seminar. Seminar work.
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Recommended literature
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Sborníky úloh matematických soutěží (Matematický klokan, MO, Pythagoriáda).
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Učebnice matematiky pro 1. stupeň ZŠ.
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Ball, Keith. Podivuhodné křivky, počítání králíků a jiná matematická dobrodružství. Praha, 2011.
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Fuchs, E., Zelendová, E. a kol. Standardy pro základní vzdělávání: Matematika.
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Gardner,H. Dimenze myšlení.Teorie rozmanitých inteligencí. Praha: Portál, 1999.
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HEJNÝ, M., KUŘINA, F. Dítě, škola a matematika, Portál, Praha, 2001.
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J. Kopka. Hrozny problémů ve školské matematice.
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Jirotková, D. Cesty ke zkvalitňování výuky geometrie. Praha, 2010.
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KALHOUS Z.; OBST O. Školní didaktika. Praha: Portál, 2002. ISBN 80-7178-253-X.
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Makrides, G. Objevování, motivace a podpora matematických talentů na evropských školách: Projekt MATHEU.. Praha, 2006.
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Opava Z. Matematika kolem nás, Albatros Praha. 1989.
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POLYA, G. How to solve it. 1973, Princeton University Press.
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