SubjectsSubjects(version: 964)
Course, academic year 2024/2025
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Arithmetic - O01110032
Title: Aritmetika
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2020
Semester: winter
E-Credits: 3
Examination process: winter s.:
Hours per week, examination: winter s.:1/2, C+Ex [HT]
Capacity: unknown / unknown (999)
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Is provided by: OPMN0M126A
Explanation: Rok1,Rok2
Old code: ARIT
Note: course can be enrolled in outside the study plan
enabled for web enrollment
priority enrollment if the course is part of the study plan
Guarantor: PhDr. Jana Slezáková, Ph.D.
doc. RNDr. Darina Jirotková, Ph.D.
Classification: Teaching > Mathematics
Pre-requisite : O01310247
Is incompatible with: OK0610032
Is pre-requisite for: O01310V05, O01210051
Is interchangeable with: OK0610032
Annotation -
By solving submitted tasks students' ability to experiment, to organize partial results, to make use of patterns, to formulate and verify hypothesis will be developed. The ability to pose new tasks related to the given problem on basis of asking questions like What if ...? will also be developed. Stress will be put on the development of ability of argumentation, that means to explain Why...? Why does the given algorithm work? The development of abilities mentioned above is a key requirement in the future teachers training. Thus the conception of subject Arithmetic qualitatively differs from that conception which the students met in their secondary school education.
Last update: Slezáková Jana, PhDr., Ph.D. (12.09.2019)
Aim of the course -

The goal of the subject is to lead the students to deeper understanding of a base of elementary arithmetic, of concept of number and structure of natural numbers, of positional number systems, calculative algorithms, divisibility of numbers, fractions, arithmetical patterns, etc. and in all cases with the support of visual interpretation.

Last update: Slezáková Jana, PhDr., Ph.D. (12.09.2019)
Literature -

Materials for lessons and seminars will be published in dedicated Moodle course - Arithmetics.

Opava, Z.: Matematika kolem nás, Albatros

Hejný M., Stehlíková N.: Číselné představy dětí (skriptum PedF UK)

Hruša a kol.: Aritmetika pro pedagogické instituty (starší učebnice)

Wittmann, E. Ch. , Müller, G. N.: Handbuch produktiver Rechenübungen, Band 1 (Von Einspluseins zum Einmaleins, 1990), Band 2 (Von halbschriftlichen zum schriftlichen Rechnen, 1992)

Koman, M.: Pravidelnosti aritmetiky a geometrie číselných dvojčat, In Dvacetpět kapitol z didaktiky matematiky (2004).

Koman, M.: Rozšiřování číselných oborů (Užití čtvercových sítí), (skriptum UK Praha, 1975)

textbooks of mathematics (for primary and secondary schools)

Last update: Slezáková Jana, PhDr., Ph.D. (12.09.2019)
Teaching methods -

The main teaching method is solving of tasks of differentiated difficulty and investigation of simple problem situations.

Last update: Slezáková Jana, PhDr., Ph.D. (12.09.2019)
Requirements to the exam - Czech

Požadavky k udělení zápočtu:
- aktivní účast na seminářích
- Vypracování seminární práce podle zadání: 1. V průběhu semestru budou formulovány výzvy - úlohy (např. kombinatorického charakteru), student si může vybrat 1-2 výzvy a ty vyřešit, nebo 2. studenta zaujme úloha v probíraném tématu a zadá ji dítěti, náplní seminární práce je popsat způsob, jak zadanou úlohu dítě řešilo. Seminární práce je vložena do 20.12. 2019 do moodlu.
- Vypracování písemného testu se ziskem alespň 60% bodů

Zkouška:
- je ústní a jedním z podkladů k hodnocení je písemný test.

Last update: Jirotková Darina, doc. RNDr., Ph.D. (05.12.2019)
Syllabus -

1. Hundred and thousand table, investigations.

2. Decimal number system and system of other bases. Calculations in these systems.

3. Divisibility tests.

4. Divisibility. Primes, composite numbers, divisors, multiples.

5. Fractions and rational numbers.

6. Diophantine equations.

Last update: Slezáková Jana, PhDr., Ph.D. (12.09.2019)
 
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