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Lecturer(s)
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Course content
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The course focuses on the following topics: 1. Cardinal numbers. Properties of cardinal numbers. 2. Regular numbers. Attributes of ordinal numbers. 3. Expansion of numerical fields 4. Entire numbers 5. Integer properties 6. Introduce rational numbers 7. Properties of rational numbers 8. Fragments 9. Decimal numbers 10. Irrational numbers 11. The infinite problem 12. Real numbers
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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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The subject Arithmetics with Didactics II together with the subject of Arithmetics and Didactics I in the winter semester of the 2nd year prepares students for their teaching at the first level of elementary school in terms of gaining numerical skills and didactical methodical experience. In the lectures the student obtains the necessary information in a comprehensive system, the exercises are used to solve mathematical problems, experimenting, discovering mathematical contexts and creating mathematical problems. In the didactic aspect of the subject, the teaching is based on the principles of didactic constructivism. In the style of teaching the subject tries to transfer the elements of mathematical discovery and creation into the future pedagogical work of the students. Emphasis will be placed on the use of non-traditional teaching methods and forms for maximum involvement of pupils with SPUs and possibly gifted pupils during classes. For individual numerical fields, students will meet the problems of dyscalculia.
- understand natural numbers such as cardinal numbers, introduce operations between these numbers, apply this knowledge when introducing numbers in elementary school education, - understand natural numbers as ordinal numbers, introduce operations between these numbers, apply this knowledge when introducing numbers in - to understand the reason and way of extending the natural numbers field to the whole number, rational and real numbers, to create tasks appropriate to the given topic, to create a teaching unit with a focus on the given topic. using non-traditional forms of teaching to involve students with SPUs (dysgraphic pupils and others), - use non-traditional forms of teaching to teach students gifted and extraordinarily talented,
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Prerequisites
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Completing the subject Arithmetics with didactics I. Active participation in teaching. Completion of the credit test (success rate of at least 70%). Seminar work.
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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. Electronic Course: https://moodle.pf.ujep.cz/course/view.php?id=600 password: guest Study materials freely available on the web site of the Department of Primary Education PF UJEP: http://old.pf.ujep.cz/index.php?option=com_content&view=article&id=5687&Itemid=807
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Recommended literature
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BĚLÍK M. a kol. Matematika pro studium učitelství 1. st. ZŠ.
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Bělík M. Přirozená čísla jako čísla kardinální a ordinální, 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.,. 1998.
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Bělík M., Svoboda J. Binární operace pro studium učitelství 1. stupně základní škol-ky, Pedagogická fakulta UJEP, Ústí n.L..
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Bělík M., Svoboda J. Celá čísla, Pedagogická fakulta UJEP, Ústí n.L.. 1998.
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Bělík M., Svoboda J. Racionální čísla, PF UJEP, Ústí nad Labem. Ústí nad Labem, 1998.
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Blažek J. a kol. Algebra a teoretická matematika, 1. díl, SPN 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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