IMA01 Introduction into study of mathematics

Faculty of Education
Autumn 2024
Extent and Intensity
0/2/0. 3 credit(s). Type of Completion: k (colloquium).
In-person direct teaching
Teacher(s)
doc. RNDr. Jaroslav Beránek, CSc. (seminar tutor)
Mgr. Helena Durnová, Ph.D. (seminar tutor)
Mgr. Jana Veseláková (seminar tutor)
Mgr. Jan Wossala, Ph.D. (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
IMA01/KombiSem01: Fri 4. 10. 14:00–15:50 učebna 1, Sat 26. 10. 12:00–14:50 učebna 35, Fri 13. 12. 13:00–15:50 učebna 60, H. Durnová
IMA01/PrezSem02: Tue 12:00–13:50 učebna 11, J. Wossala
IMA01/PrezSem03: Tue 16:00–17:50 učebna 57, J. Wossala
IMA01/PrezSem04: Tue 14:00–15:50 učebna 11, J. Wossala
IMA01/PrezSem05: Thu 11:00–12:50 učebna 42, J. Veseláková
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 objective of the course is taking stock of the knowledge of arithmetic and logic acquired at the secondary school level, including revising written calculation methods and working memory.
Learning outcomes
Knowledge and skills in number theory (including written calculations and working memory) and in mathematical logic.
Syllabus
  • Ways of writing numbers down in our and other cultures (decimal positional system, Roman numerals, sexadecimal [60] and vigesimal [20] system). Calculations with numbers written in non-decimal positional systems (especially binary [2] and hexadecimal [16] positional systems). Divisibility in natural numbers (especially the fundamental theorem of arithmetic, greatest common divisor and smallest common mulitple and their use, prime and composite numbers and where we can find them in nature). Basic knowledge and skills in logic, especially in mathematical logic (especially simple and compound statements, tautology, contradiction, logical conjunctions [conjunction, disjunction, implication, equivalence] and their uses n mathematics and daily life).
Literature
  • KUŘINA, František. Elementární matematika a kultura. Vydání první. Hradec Králové: Gaudeamus, 2012, 230 stran. ISBN 9788074352188. info
  • HEJNÝ, Milan and František KUŘINA. Dítě, škola a matematika : konstruktivistické přístupy k vyučování. Vydání první. Praha: Portál, 2001, 187 stran. ISBN 8071785814. info
Teaching methods
Seminar with active participation.
Assessment methods
Written test and oral discussion
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 (KS).
Listed among pre-requisites of other courses
Teacher's information
The department of mathematics recommends to students the optional course MATHEMATICS 1 (IMA11), in which this course's subject matter is further practised and developed. For active participation in these seminars, student obtain two credits.
The course is also listed under the following terms Autumn 2023.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2024/IMA01