|
Lecturer(s)
|
-
Pavelková Marie, Mgr. Ph.D.
|
|
Course content
|
- Propositions - truth value of proposition, negation of proposition. - Propositions - propositional forms and formulas, tautology. - Contradiction, satisfiable propositional formula. - Operations with propositions, truth tables. - Sets - element of a set, relations between sets. - Sets - representation of sets by Venn and other diagrams. - Operations with sets and their properties. - Relations on sets properties of binary relations in set. - Transitivity, the connection between them and relational ordering. - Binary relation and its graph, supplementary relation, inverse relation, composite relation. - Projection - projection properties, inverse projection, composite projection, projection specification and equality. - Plane and spatial geometric shapes and their properties and characteristics. - Distinguishing planar formations from a spatial, network of objects. - Orientation in plane using terms, orientation in space in relation to objects in space, the orientation of various objects in space.
|
|
Learning activities and teaching methods
|
Monologic (Exposition, lecture, briefing), Dialogic (Discussion, conversation, brainstorming), Demonstration, Individual work of students
- Preparation for course credit
- 30 hours per semester
- Term paper
- 23 hours per semester
- Participation in classes
- 7 hours per semester
|
| prerequisite |
|---|
| Knowledge |
|---|
| not specified |
| not specified |
| learning outcomes |
|---|
| position of propositional logic in preschool education |
| position of propositional logic in preschool education |
| truth values of statements in conjunction, disjunction, implication and equivalence |
| truth values of statements in conjunction, disjunction, implication and equivalence |
| determination of a set by enumeration of elements and a characteristic property |
| determination of a set by enumeration of elements and a characteristic property |
| operations with sets - intersection, union, difference and complement of sets |
| operations with sets - intersection, union, difference and complement of sets |
| binary relations in a set, determination of relations based on the Cartesian product |
| binary relations in a set, determination of relations based on the Cartesian product |
| Skills |
|---|
| determine the truth value of a statement |
| determine the truth value of a statement |
| identify quantified statements |
| identify quantified statements |
| determine the intersection, union, difference, and complement of a set |
| determine the intersection, union, difference, and complement of a set |
| create learning tasks with statements and sets |
| create learning tasks with statements and sets |
| identify binary relations in a set based on node graphs |
| identify binary relations in a set based on node graphs |
| teaching methods |
|---|
| Knowledge |
|---|
| Demonstration |
| Demonstration |
| Dialogic (Discussion, conversation, brainstorming) |
| Dialogic (Discussion, conversation, brainstorming) |
| Individual work of students |
| Individual work of students |
| Monologic (Exposition, lecture, briefing) |
| Monologic (Exposition, lecture, briefing) |
| assessment methods |
|---|
| Written examination |
| Analysis of the student's performance |
| Analysis of the student's performance |
| Grade (Using a grade system) |
| Written examination |
| Analysis of educational material |
| Analysis of seminar paper |
| Analysis of seminar paper |
| Analysis of educational material |
| Grade (Using a grade system) |
|
Recommended literature
|
-
GEROVÁ, Ľ. Propedeutika matematiky a počiatočné matematické predstavy. Banská Bystrica, 2007.
-
HEJNÝ, M., KUŘINA, F. Dítě, škola a matematika. Praha, 2001.
-
Kaslová, M. Předmatematické činnosti v předškolním vzdělávání. Praha: Raabe, 2010.
-
Krajcarová, J., & Pavelková, M. Umělecké vzdělávání u dětí s matematickým nadáním. Kreatívne vzdelávanie. In CREA-AE 2014. Zohor, 2014.
-
LIPKOVÁ, L., PETRÍK. Základy elementárnej aritmetiky. Prešov, 1996.
-
PALUMBÍNY, D. a kol. Základy elementárnej aritmetiky. PdF Nitra, 1989.
-
PARTOVÁ, E. Relácie a ich aplikácie v predškolskej matematike. Bratislava, 2004.
-
PARTOVÁ, E., ŽIDEK, O. Príručka k príprave na súbornú skúšku z matematiky. Bratislava: UK, PdF, 1993.
|