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Lecturer(s)
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Course content
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1. Logic concepts and sets. Session, view, organize 2. Operations in sets, properties 3. Structure with one operation. 4. Structure of the two operations 5th axiomatic theory of natural numbers 6th Content axioms of the theory of natural numbers 7. Evidence theorems in the theory of natural numbers 8th divisibility of natural numbers. Divide the rest. 9th greatest common divisor 10th least common multiple 11th Diofantovské equation 12th positional number system
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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Subject Arithmetic Methodology I, together with the subject Arithmetic Methodology II in the summer semester 2nd year prepares students for their teaching in the primary school in terms of acquiring numeracy skills and didactic methodological experience. During the lectures, students will gain the necessary information in an integrated system, the exercises are used to solve mathematical problems, experimenting, discovering mathematical connections and creating math problems. In the didactic aspect of teaching is committed to the principles of didactic constructivism style of teaching the subject tries to future educational work of students to pass elements of mathematical discovery and creation.
Students can: - Identify and use logical connectors, set operations, to apply these skills in their own school teaching practice, - Define, recognize and give examples of their own properties sessions, display and arrangement, - Identify the characteristics of standard and non-standard mathematical operations of the acquired information to learn structure with one or two operations, - Construction of the theory of natural numbers, - Use divisibility in creating mathematical tasks, - Convert positional number system.
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Prerequisites
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Completion of Mathematics I and Mathematics II.
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Assessment methods and criteria
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unspecified
Active participation. Compliance with the credit test (70% pass). Seminar work.
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Recommended literature
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Bělík M. a kol. MATEMATIKA pro studium učitelství 1. st. ZŠ, Pedagogická fa-kulta UJEP, Ústí n.L.. 1996.
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Bělík M. Dělitelnost přirozených čísel, PF UJEP, Ústí nad Labem,. Ústí nad Labem.
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Bělík M., Svoboda J. Binární operace pro studium učitelství 1. stupně základní ško-ly, Pedagogická fakulta UJEP, Ústí n.L.,. 1998.
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Bělík M., Svoboda J. Peanova aritmetika přirozeného čísla: Pedagogická fakulta UJEP, Ústí n.L.. Ústí nad Labem, 1998.
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Blažek J., Calda E., Koman M., Kussová B. Algebra a teoretická aritmetika I. díl. Praha, 1983.
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Drábek J. a kol. Základy elementární aritmetiky pro studium učitelství 1. st. ZŠ, SPN Praha. 1985.
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HEJNÝ, Milan, KUŘINA, František. Dítě, škola a matematika. 2. vyd. Brno: Portál, 2009. ISBN 80-7290-189-3..
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Kopka J. Kapitoly o přirozených číslech, UJEP, Ústí nad Labem. Ústí nad Labem, 2003.
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Perný Jaroslav. Kapitoly z elementární aritmetiky I. Liberec: TU v Liberci, 2010.
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