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Lecturer(s)
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Janečková Miroslava, PaedDr. PhD.
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Course content
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1. Cartesian product of sets, its writing and graphical representation. 2. The term binary relation. 3. Graphical representation of sessions. 4. Additional session. Reverse inversion. 5. Properties of binary relations in a set. 6. Binary relations in elementary school mathematics. 7. Equivalence relation. 8. Decomposition of the set, sorting - the process induced by the equivalence relation. 9. Assembly arrangement. 10. Types of arrangement, h-diagram. 11. Ordered set. 12. Display, display types.
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Learning activities and teaching methods
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unspecified, unspecified
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Learning outcomes
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Mathematics II contains basic knowledge of binary relations theory. It provides an introduction to mathematical theories of elementary arithmetic and geometry and the theory of mathematics teaching, focusing on the special needs of a primary school teacher. Particular emphasis is placed on creative and independent work with concepts, gradual building, acquisition, accurate and concise usage of the specialized language. The most necessary symbolism is introduced to allow the use of clear inscriptions for a deeper understanding and to reinforce the thorough acquisition of elements of the minimum professional language. Teaching of subtopics is connected with the problem of pupils with specific disorders, especially dyscalculia and manifestations of their difficulties in acquiring mathematical concepts.
Student can: - to write a binary session by enumerating elements or as a subject of the truth of the predicate, to plot the Cartesian and nodal graphs of a binary relation, - using the adopted definitions of the binary relations properties, using charts to determine the properties of a binary session, - to indicate the possibilities of using special types of binary relations (equivalence, arrangement, display) in elementary school mathematics, can recognize these sessions in mathematical problems and in real life situations, - create mathematical tasks that contain binary relations, - write the decomposition of the M-induced equation in the set M.
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Prerequisites
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The subject has no prerequisites.
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Assessment methods and criteria
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unspecified
Student will pass the credit test and seminar work. The work will be handed over at the agreed date. She passes the exam. Studijní opora - skripta: BĚLÍK, M. Mathematics for Combined Study of Teaching at the First Grade of Elementary School. Ústí nad Labem: UJEP, 2006. Electronic Course: https://moodle.pf.ujep.cz/course/view.php?id=565 password: guest
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Recommended literature
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Bělík, M. Matematika pro kombinované studium učitelství 1. stupně ZŠ. Ústí nad Labem, 1989.
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Blažek, Calda, Koman. Algebra a teoretická aritmetika - I. díl SPN praha. 1983.
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Divíšek J. a kol. Didaktika matematiky pro učitelství 1. stupně ZŠ. Praha, 1989.
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Drábek J. a kol. Základy elementární aritmetiky pro studium učitelství 1. st. ZŠ, SPN Praha. 1985.
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Kaslová, M. Předmatematické činnosti v předškolním vzdělávání. Praha, 2010. ISBN 978-80-86307-96-1.
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Melichar J., Svoboda J. Rozvoj matematického myšlení I pro studium učitelství pro mateřské školy, UJEP, Ústí nad Labem. Ústí nad Labem, 2003.
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Opava Z. Matematika kolem nás, Albatros Praha. 1989.
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Perný Jaroslav. Kapitoly z elementární aritmetiky I. Liberec: TU v Liberci, 2010.
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Simon, H. Dyskalkulie: jak pomáhat dětem, které mají potíže s početními úlohami.
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ZELINKOVÁ, Olga. Poruchy učení: dyslexie, dysgrafie, dysortografie, dyskalkulie, dyspraxie, ADHD.
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