|
Lecturer(s)
|
-
Sedláček Lubomír, Mgr. Ph.D.
-
Pavelková Marie, Mgr. Ph.D.
|
|
Course content
|
1. Cardinal numbers and natural numbers as cardinal numbers of finite non-empty sets. 2. Number systems. Writing natural numbers in the decimal and z-adic number systems and operations in these systems. 3. Converting the notation of a natural number from one number system to another. 4. Binary operations. 5. Whole numbers, sum, difference and product of whole numbers. 6. Divisibility of whole numbers. 7. Natural ordering of integers. 8. A natural number as an ordinal number. The ordinal number of a well-ordered set. Equality of ordinal numbers. The role of numbers in the world. 9. Greatest common divisor. Least common multiple. 10. Rational numbers. 11. Fractions and positive rational numbers. 12. Sum and product of rational numbers. 13. Real numbers, motivation for introducing real numbers. 14. Decimal development of real numbers.
|
|
Learning activities and teaching methods
|
- Home preparation for classes
- 48 hours per semester
- Participation in classes
- 42 hours per semester
- Preparation for examination
- 90 hours per semester
|
| prerequisite |
|---|
| Knowledge |
|---|
| Students have basic knowledge of number sets and number systems, they know basic operations with numbers that they apply when solving various problems from practice, they can formulate the concepts of elementary arithmetic and apply the acquired knowledge in the curriculum at the 1st grade of elementary school. |
| Students have basic knowledge of number sets and number systems, they know basic operations with numbers that they apply when solving various problems from practice, they can formulate the concepts of elementary arithmetic and apply the acquired knowledge in the curriculum at the 1st grade of elementary school. |
| learning outcomes |
|---|
| basic concepts of elementary arithmetic, number systems and their meaning, construction of number domains, natural number operations, operations with integer and rational numbers. |
| basic concepts of elementary arithmetic, number systems and their meaning, construction of number domains, natural number operations, operations with integer and rational numbers. |
| Skills |
|---|
| define the basic concepts of elementary arithmetic, write down a natural number in different number systems, define basic operations with numbers, which he applies when solving various tasks from practice, define the roles of numbers for teaching mathematics in primary education, apply the theoretical knowledge of mathematics necessary for teaching activities and for managing the learning activities of pupils in Primary Education Mathematics. |
| define the basic concepts of elementary arithmetic, write down a natural number in different number systems, define basic operations with numbers, which he applies when solving various tasks from practice, define the roles of numbers for teaching mathematics in primary education, apply the theoretical knowledge of mathematics necessary for teaching activities and for managing the learning activities of pupils in Primary Education Mathematics. |
| teaching methods |
|---|
| Knowledge |
|---|
| Dialogic (Discussion, conversation, brainstorming) |
| Dialogic (Discussion, conversation, brainstorming) |
| Practice exercises |
| Practice exercises |
| Skills |
|---|
| Practice exercises |
| Practice exercises |
| assessment methods |
|---|
| Knowledge |
|---|
| Didactic test |
| Didactic test |
| Analysis of another type of paper written by the student (Casuistry, diary, plan ...) |
| Analysis of another type of paper written by the student (Casuistry, diary, plan ...) |
|
Recommended literature
|
-
Ficová, L. Možnosť identifikovania úrovne schopností žiakov primárneho matematického vzdelávania prostredníctvom testových úloh. Bratislava: NÚCEM. 2015.
-
Hejný, M. Vyučování matematice orientované na budování schémat: aritmetika 1. stupně. Praha: Univerzita Karlova. 2014.
-
Igrah, G. The universal history of numbers. New York: John Wiley & Sons. 2001.
-
Jana Coufalová. Matematika s didaktikou pro 1. ročník učitelství 1. stupně ZŠ. Západočeská univerzita v Plzni. 2016.
-
Jana Coufalová. Matematika s didaktikou pro 2. ročník učitelství 1. stupně ZŠ. Západočeská univerzita v Plzni. 2016.
-
Jiří Herman. Matematika Dělitenost. Prometheus, 2024.
-
Kuřina, F., & kol. Matematika a porozumění světu. Praha: Academia. 2009.
|