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Lecturer(s)
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Pavelková Marie, Mgr. Ph.D.
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Course content
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- Propositions - truth value of a proposition, a negation of proposition. - Propositions - propositional forms and formulas, a tautology. - Contradiction, satisfiable propositional formula. - Operations with propositions, truth tables. - Sets - an 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, 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 spatial, network of objects. - Orientation in plane using terms, orientation in space in relation to objects in space, orientation of various objects in space.
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Learning activities and teaching methods
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Monologic (Exposition, lecture, briefing), Dialogic (Discussion, conversation, brainstorming), Practice exercises, Individual work of students, Students working in pairs
- Preparation for course credit
- 8 hours per semester
- Term paper
- 10 hours per semester
- Participation in classes
- 42 hours per semester
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| prerequisite |
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| Knowledge |
|---|
| not specified |
| not specified |
| learning outcomes |
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| 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 |
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| 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 |
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| Knowledge |
|---|
| Dialogic (Discussion, conversation, brainstorming) |
| Dialogic (Discussion, conversation, brainstorming) |
| Practice exercises |
| Practice exercises |
| Students working in pairs |
| Students working in pairs |
| Individual work of students |
| Individual work of students |
| Monologic (Exposition, lecture, briefing) |
| Monologic (Exposition, lecture, briefing) |
| assessment methods |
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| Written examination |
| Analysis of educational material |
| Analysis of educational material |
| Analysis of seminar paper |
| Analysis of seminar paper |
| Grade (Using a grade system) |
| Grade (Using a grade system) |
| Written examination |
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Recommended literature
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GEROVÁ, Ľ. Propedeutika matematiky a počiatočné matematické predstavy. Banská Bystrica, 2007.
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HEJNÝ, M., KUŘINA, F. Dítě, škola a matematika. Praha, 2001.
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Kaslová, M. Předmatematické činnosti v předškolním vzdělávání. Praha: Raabe, 2010.
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LIPKOVÁ, L., PETRÍK. Základy elementárnej aritmetiky. Prešov, 1996.
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PALUMBÍNY, D. a kol. Základy elementárnej aritmetiky. PdF Nitra, 1989.
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PARTOVÁ, E. Relácie a ich aplikácie v predškolskej matematike. Bratislava, 2004.
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