IMAk02 The Base of Algebra and Arithmetics

Faculty of Education
Spring 2021
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)
Guaranteed by
Mgr. Jitka Panáčová, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
IMAk02/OS01: Fri 5. 3. 15:00–17:50 učebna 32, Fri 12. 3. 10:00–12:50 učebna 1, Fri 26. 3. 16:00–17:50 učebna 32, J. Panáčová
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
The subject aims to acquaint students with the basic concepts of the followed knowledge: > Mappings between sets. > Equivalent sets. > Finite and infinite sets. > Similarity of linearly ordered sets. > Binary algebraic operations and their properties. > Algebraic structures with one and two operations. > Study and utilizing of the concepts in school mathematics.
Learning outcomes
At the end of the course students should be able to understand and explain the followed knowledge: > Mappings between sets. > Equivalent sets. > Finite and infinite sets. > Similarity of linearly ordered sets. > Binary algebraic operations and their properties. > Algebraic structures with one and two operations. > Study and utilizing of the concepts in school mathematics.
Syllabus
  • Fundamentals of Algebra and Arithmetic > Mappings between sets. > Equivalent sets. > Finite and infinite sets. > Similarity of linearly ordered sets. > Binary algebraic operations and their properties. > Algebraic structures with one and two operations. > Study and utilizing of the concepts in school mathematics.
Literature
    required literature
  • DRÁBEK, Jaroslav and Václav VIKTORA. Základy elementární aritmetiky : pro učitelství 1. stupně ZŠ a. 1. vyd. Praha: Státní pedagogické nakladatelství, 1985, 223 s. info
    recommended literature
  • FAJMON, Břetislav. Základy matematiky - přednáškový text (Foundations of Mathematics - lecture notes). Online. rno, 2017, 82 pp. osobní stránka autora 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
    not specified
  • HORÁK, Pavel. Základy matematiky: Učební text. 2007. URL info
  • HRUŠA, Karel, Zbyněk DLOUHÝ and Josef MENCL. Aritmetika a algebra pro pedagogické fakulty. Vyd. 2. Praha: Státní pedagogické nakladatelství, 1976, 307 s. info
  • SKULA, Ladislav. Úvod do teorie množin a algebraických operací. Vyd. 1. Brno: Rektorát UJEP, 1973, 98 s. info
Teaching methods
Seminar
Assessment methods
Credit. Class discussion. Homeworks.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
Information on completion of the course: Obsah tohoto předmětu bude součástí požadavků u zkoušky z předmětu Aritmetika 1 ve 3. semestru studia.
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 2020, Spring 2022, Spring 2023, Spring 2024.
  • Enrolment Statistics (Spring 2021, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2021/IMAk02