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Lecturer(s)
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Sedláček Lubomír, Mgr. Ph.D.
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Pavelková Marie, Mgr. Ph.D.
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Course content
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1. Basic concepts of set theory and mathematical logic in elementary mathematics. 2. Numeration and introductory knowledge of natural numbers. 3. Binary operations of arithmetic at the 1st grade of elementary school and their properties - addition, introduction of the concept, models and methods of representation. 4. Binary operations of arithmetic at the 1st grade of elementary school and their properties - subtraction, introduction of the concept, models and methods of representation. 5. Binary operations of arithmetic at the 1st grade of elementary school and their properties - multiplication, introduction of the concept, models and methods of representation. 6. Binary operations of arithmetic at the 1st grade of elementary school and their properties - division, introduction of the concept, models and methods of representation. 7. Fractions and their modeling, comparison. 8. Typology of word problems, simple and compound word problems and methods of solution. 9. Levels of the cognitive process in geometry, their characteristics and significance for student diagnostics. 10. School geometry: overview of basic geometric concepts and modeling of geometric concepts. 11. Binary relations and operations in geometry at the 1st grade of elementary school. Methods of modeling. 12. Elementary knowledge of measure theory, methods of measuring geometric figures. 13. Development of spatial imagination in primary mathematical education. Orientation in space. 14. Solids and their properties.
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Learning activities and teaching methods
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- Participation in classes
- 42 hours per semester
- Preparation for examination
- 48 hours per semester
- Home preparation for classes
- 60 hours per semester
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| prerequisite |
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| Knowledge |
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| Students have basic mathematical skills. Students will acquire basic competencies necessary for teaching mathematics. Students can work with students according to the needs, interests and abilities of the students: work with students with specific developmental learning disabilities in mathematics and work with gifted students. |
| Students have basic mathematical skills. Students will acquire basic competencies necessary for teaching mathematics. Students can work with students according to the needs, interests and abilities of the students: work with students with specific developmental learning disabilities in mathematics and work with gifted students. |
| learning outcomes |
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| content areas of mathematics at the 1st level of primary school, definition and categorization of mathematical tasks with an emphasis on word problems in teaching mathematics, methodology of teaching geometry at primary school, creative approaches to the assigned task, selected mathematics curriculum within school practice. |
| content areas of mathematics at the 1st level of primary school, definition and categorization of mathematical tasks with an emphasis on word problems in teaching mathematics, methodology of teaching geometry at primary school, creative approaches to the assigned task, selected mathematics curriculum within school practice. |
| Skills |
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| reflect the mathematical thinking of a child of younger school age and its characteristics, didactically present mathematics topics and design mathematics teaching in primary education, which is integrated in the RVP ZV, adequately use mathematical terminology in professional communication, mathematize real situations and create mathematical models, work with students according to the individual needs, interests and abilities of students. |
| reflect the mathematical thinking of a child of younger school age and its characteristics, didactically present mathematics topics and design mathematics teaching in primary education, which is integrated in the RVP ZV, adequately use mathematical terminology in professional communication, mathematize real situations and create mathematical models, work with students according to the individual needs, interests and abilities of students. |
| teaching methods |
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| Knowledge |
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| Analysis of a presentation |
| Analysis of a presentation |
| Individual work of students |
| Individual work of students |
| Monologic (Exposition, lecture, briefing) |
| Monologic (Exposition, lecture, briefing) |
| Practice exercises |
| Practice exercises |
| assessment methods |
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| 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 ...) |
| Didactic test |
| Didactic test |
| Written examination |
| Written examination |
| Oral examination |
| Oral examination |
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Recommended literature
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Coufalová, J. Matematika s didaktikou pro 1. ročník učitelství 1. stupně ZŠ. Západočeská univerzita v Plzni. 2016.
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Helný, M. Vyučování matematice orientované na budování schémat: aritmetika 1. stupně. Praha. 2014.
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Kuřina, F. & Hejný M. Dítě, škola a matematika. Konstruktivistické přístupy k vyučování; druhé aktualizované vydání. Praha. 2015.
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Panáčová, J. & Beránek, J. Základy elementární matematiky s didaktikou pro učitelství 1. stupně ZŠ. Masarykova univerzita. 2022.
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Quintero H. A., & Rosario H. Math Makes Sense!. London. 2016.
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