IMAk04 Arithmetics 2

Faculty of Education
Spring 2020
Extent and Intensity
0/0/.7. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Jaroslav Beránek, CSc. (seminar tutor)
Mgr. Jitka Panáčová, Ph.D. (seminar tutor)
RNDr. Milena Vaňurová, CSc. (seminar tutor)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
IMAk04/OS01: Fri 14. 2. 15:00–17:50 učebna 30, Fri 13. 3. 14:00–15:50 učebna 30, Fri 17. 4. 10:00–11:50 učebna 30, J. Beránek
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
At the end of the course students should be able to understand and explain divisibility of integers, common divisor (multiple), prime numbers and diophantine equations.
Learning outcomes
At the end of the course students should be able to understand and explain divisibility of integers, common divisor (multiple), prime numbers and diophantine equations.
Syllabus
  • Rational and real numbers. Application in school mathematics. Introduction of terms in mathematics, types of definitions. Binary relations divisibility of natural and integral numbers, properties, application in primary school. Divisibility criteria in numerical systems. Solving problems. Numerical digits of natural numbers and their use. The use of the terms common divisor, the greatest common divisor, the common multiple, the least positive common multiple in the tasks of school mathematics. Indefinite equations, their types and ways to resolve, their use in tasks of school mathematics.
Literature
    recommended literature
  • VAŇUROVÁ, Milena. Aritmetika 2 (dělitelnost celých čísel) [online e-learningový kurz]. 2005. URL info
  • DRÁBEK, Jaroslav and Václav VIKTORA. Základy elementární aritmetiky : pro učitelství 1. stupně ZŠ a. 1. vyd. Praha: Státní pedagogické nakladatelství, 1985, 223 s. info
  • VIKTORA, Václav. Matematika I pro studium učitelství v 1. až 4. ročníku ZŠ. čtvrté. Brno: Univerzita Jana Evangelisty Purkyně v Brně, 1983, 222 s. info
Teaching methods
Seminar.
Assessment methods
Credit. Seminar, written test. To successfully manage the need to reach at least 60% points from the maximum number of points.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Information on the extent and intensity of the course: 8 konzultací.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2018, Spring 2019, Spring 2021, Spring 2022, Spring 2023, Spring 2024.
  • Enrolment Statistics (Spring 2020, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2020/IMAk04