XMAc04 The Development of Mathematical Ideas in pre-primary school

Faculty of Education
Spring 2023
Extent and Intensity
0/0/.7. 4 credit(s). Type of Completion: k (colloquium).
Teacher(s)
PhDr. Eva Nováková, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
XMAc04/Kombi01: Fri 24. 2. 10:00–13:50 učebna 32, Fri 14. 4. 10:00–13:50 učebna 32, E. Nováková
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
Course objectives
At the end of the course students can define the basic mathematical concepts and explain theoretical basis which is needed to understand the concept of natural numbers. This knowledge will be able to apply in achieving the Framework Educational Program for Pre-school education in the development of cognitive abilities in mathematics.
Syllabus
  • Basic concepts of propositional logic and set theory; their use in everyday communication. Binary relations, properties of relations and their use for sorting, comparing, ordering. Mapping between sets, type of mapping. Binary algebraic operations and their properties. Natural numbers, the introduction and basic properties. Operations with natural numbers. Natural numbers at primary school. Solving problems.
Literature
  • KASLOVÁ, Michaela. Předmatematické činnosti v předškolním vzdělávání. Praha: Raabe, 2010. ISBN 978-80-86307-96-1
  • BLAŽKOVÁ, Růžena, Květoslava MATOUŠKOVÁ and Milena VAŇUROVÁ. Poruchy učení v matematice a možnosti jejich nápravy (Disorders of learning in mathematics and how to remedy). Brno: Paido . edice pedagogické literatury, 2007, 96 pp. Dotisk 1. vydání. ISBN 80-85931-89-3. info
  • BLAŽKOVÁ, Růžena, Květoslava MATOUŠKOVÁ and Milena VAŇUROVÁ. Kapitoly z didaktiky matematiky (slovní úlohy, projekty). Brno: Masarykova univerzita v Brně, 2002, 84 pp. ISBN 80-210-3022-4. info
  • HEJNÝ, Milan and František KUŘINA. Dítě, škola a matematika :konstruktivistické přístupy k vyučování. Vyd. 1. Praha: Portál, 2001, 187 s. ISBN 80-7178-581-4. info
  • Predškolská a elementárna pedagogika. Edited by Zuzana Kolláriková - Branislav Pupala. Vyd. 1. Praha: Portál, 2001, 455 s. ISBN 80-7178-585-7. info
  • HEJNÝ, Milan and Naďa STEHLÍKOVÁ. Číselné představy dětí. Praha: Univerzita Karlova v Praze - Pedagogická fakulta, 1999, 123 s. ISBN 80-86039-98-6. info
  • DRÁBEK, Jaroslav and Václav VIKTORA. Základy elementární aritmetiky : pro učitelství 1. stupně ZŠ a. 1. vyd. Praha: Státní pedagogické nakladatelství, 1985, 223 s. info
Teaching methods
lectures
Assessment methods
project, credit
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
Information on the extent and intensity of the course: 8 konzultací.
The course is also listed under the following terms Spring 2022, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2023, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2023/XMAc04