Course: Arithmetic Teaching Methodology II

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Course title Arithmetic Teaching Methodology II
Course code KPR/4718
Organizational form of instruction Lecture
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Janovec Jan, Mgr. Ph.D.
Course content
The first Cardinal numbers. Features cardinal numbers. 2nd Ordinal numbers. Properties of ordinal numbers. 3. The dissemination of numeric fields 4. The implementation of integers 5. Properties of integers 6 Implementation of rational numbers 7. Properties of rational numbers 8th Fractions 9th Decimals 10th Irrational numbers 11th Issue of infinity 12. The real numbers

Learning activities and teaching methods
unspecified
Learning outcomes
Subject Arithmetic Teaching Methodology II together with the subject Arithmetic Teaching Methodology I in the winter semester of the second year prepares students for their teaching in primary schools in terms of acquisition of numeracy skills and experience of teaching methodology. In lectures, students will acquire the necessary information in an integrated system, exercises are used to solve mathematical problems, experimenting, discovering mathematical relationships and creating math problems. The didactic aspect of teaching is committed to the principles of the didactic constructivism style of teaching the subject tries to future teaching work students to transfer elements of mathematical discovery and creation.
Students can: - Understand the natural numbers as cardinal numbers, initiating operations between those numbers, apply this knowledge when introducing numbers in teaching at primary school, - Understand the natural numbers as ordinal numbers, introduce operations between those numbers, apply this knowledge when introducing numbers in teaching at primary school, - Understand why and how the extension of natural numbers to the study of whole numbers, rational and realistic - Understand the difference between rational and irrational numbers, naming some irrational numbers stating the reason and the historical context of the introduction, - Operate with the concept of infinity, understand the basic context in the theory of infinite sets.
Prerequisites
Completion of the course Arithmetic Methodology I.

Assessment methods and criteria
unspecified
Active participation in education. Compliance with the credit test (70% pass). Seminar work.
Recommended literature
  • Bělík M. a kol. MATEMATIKA pro studium učitelství 1. st. ZŠ, Pedagogická fa-kulta UJEP, Ústí n.L.. 1996.
  • Bělík M. Přirozená čísla jako čísla kardinální a ordinální, Pedagogická fakulta UJEP, Ústí n.L.. 1998.
  • Bělík M., Svoboda J. Binární operace pro studium učitelství 1. stupně základní ško-ly, Pedagogická fakulta UJEP, Ústí n.L.,. 1998.
  • Bělík M., Svoboda J. Celá čísla, Pedagogická fakulta UJEP, Ústí n.L.. 1998.
  • Bělík M., Svoboda J. Peanova aritmetika přirozeného čísla: Pedagogická fakulta UJEP, Ústí n.L.. Ústí nad Labem, 1998.
  • Bělík M., Svoboda J. Racionální čísla, PF UJEP, Ústí nad Labem. Ústí nad Labem, 1998.
  • Blažek J., Calda E., Koman M., Kussová B. Algebra a teoretická aritmetika I. díl. Praha, 1983.
  • Drábek J. a kol. Základy elementární aritmetiky pro studium učitelství 1. st. ZŠ, SPN Praha. 1985.
  • HEJNÝ, M., KUŘINA, F. Dítě, škola a matematika, Portál, Praha, 2001.
  • Kopka J. Kapitoly o přirozených číslech, UJEP, Ústí nad Labem. Ústí nad Labem, 2003.
  • PERNÝ, Jaroslav. Kapitoly z elementární geometrie II. Vyd. 1. Liberec: Technická univerzita v Liberci, 2005, 57 s. ISBN 80-7372-025-6..


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Teaching in Primary Schools (A14) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer