PdF:IMAk12 The Mathematics 2 - Course Information
IMAk12 The Mathematics 2
Faculty of EducationSpring 2023
- Extent and Intensity
- 0/0/.7. 2 credit(s). Type of Completion: z (credit).
- Teacher(s)
- doc. RNDr. Jaroslav Beránek, CSc. (seminar tutor)
Mgr. Jitka Panáčová, Ph.D. (seminar tutor) - Guaranteed by
- Mgr. Jitka Panáčová, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education - Timetable of Seminar Groups
- IMAk12/OS01: Fri 24. 3. 14:00–17:50 učebna 30, Fri 5. 5. 15:00–18:50 učebna 32, J. Beránek
- 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
- Primary School Teacher Training (programme PdF, M-ZS15)
- Primary School Teacher Training (programme PdF, M-ZS5)
- Course objectives
- Mathematical logic. Set theory - applications (Sets and their visualizations, operations with sets). Propositional forms and formulae, definitions of basic notions, deducible rules of propositional and predicate calculus, proofs of theorems. Binary relations, their visualizations and properties ordering, equivalence, mapping. Study and utilizing of the concepts in school mathematics.
- Learning outcomes
- At the end of the course students should be able to understand and explain the fundaments of Mathematical Branches, Fundaments of logic and set theory. > Propositions, propositional formulae. > Sets and their visualizations. > Operations with sets. > Propositional forms. > Definitions of basic notions. > Deducible rules of propositional and predicate calculus. > Proofs of theorems. > Binary relations, their visualizations and properties. > Equivalence relations, set partitions. > Ordered sets. > Composition of relations. > Study and utilizing of the concepts in school mathematics. Mappings between sets, equivalent sets, finite and infinite sets.
- Syllabus
- Solving of selected problems of propositional calculus, set theory especially verbal problems. Rules of derivation of propositional and predicate calculus - examples of correct and erroneous reasoning. Proofs of mathematical theorems, examples of basic principles of proofs of specific simple mathematical theorems. Study of specific binary relations with respect to school mathematics. Mappings between sets, equivalent sets, finite and infinite sets.
- Literature
- required literature
- PANÁČOVÁ, Jitka and Jaroslav BERÁNEK. Základy elementární matematiky s didaktikou pro učitelství 1. stupně ZŠ (Fundamentals of elementary mathematics with didactics for primary school teaching). 1st ed. Brno: Masarykova univerzita, 2020, 167 pp. ISBN 978-80-210-9863-3. info
- DRÁBEK, Jaroslav and Václav VIKTORA. Základy elementární aritmetiky : pro učitelství 1. stupně ZŠ. 1. vyd. Praha: Státní pedagogické nakladatelství, 1985, 223 s. URL info
- recommended literature
- VIKTORA, Václav. Matematika I pro studium učitelství v 1. až 4. ročníku ZŠ. čtvrté. Brno: Univerzita Jana Evangelisty Purkyně v Brně, 1983, 222 s. info
- Teaching methods
- Seminar. Solving of problems.
- Assessment methods
- Consultation Credit: Active participation in the seminar.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
Information on the extent and intensity of the course: 8 konzultací.
- Enrolment Statistics (recent)
- Permalink: https://is.muni.cz/course/ped/spring2023/IMAk12