CMS08 The Development of Mathematical Ideas in pre-primary school

Faculty of Education
Spring 2025
Extent and Intensity
0/0/0. 4 credit(s). Type of Completion: k (colloquium).
In-person direct teaching
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
CMS08/KombiSem01: Fri 21. 2. 10:00–11:50 učebna 32, Fri 28. 2. 12:00–14:50 učebna 32, Fri 7. 3. 12:00–14:50 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.
Learning outcomes
Upon completion of the course the student: • will have knowledge of theoretical background of propositional calculus, of set theory and of binary relations as precondition of understanding of the natural number theory. • will have knowledge of basic geometric shapes and solids, of set theory and of binary relations as precondition of development of the mathematical pre-literacy. • will be able to apply acquired knowledge during own educational practise for development of mathematical preliteracy of children. • will be able to formulate and understand the contribution of pre-numerical, numerical thinking and geometry for the development of personality of the pre-school age children.
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
    required literature
  • FUCHS, Eduard, Hana LIŠKOVÁ and Eva ZELENDOVÁ. Manipulativní činnosti a modelování rozvíjející matematickou gramotnost. 1st ed. Praha: Jednota českých matematiků a fyziků, 2014. ISBN 978-80-7015-021-4. info
  • KASLOVÁ, Michaela. Předmatematické činnosti v předškolním vzdělávání. Praha: Raabe, 2010, 206 s. ISBN 9788086307961. info
    recommended literature
  • BERÁNEK, Jaroslav and Jitka PANÁČOVÁ. Základy elementární matematiky s didaktikou pro učitelství 1. stupně ZŠ. Brno, 2020. ISBN 978-80-210-9863-3. info
  • FRANCOVÁ, Marta and Leni LVOVSKÁ. Texty k základům ELEMENTÁRNÍ GEOMETRIE (Textbooks to the Basics of ELEMENTARY GEOMETRY). 1. vydání. Brno, 2014, 77 pp. ISBN 978-80-210-7594-8. info
  • KUPČÁKOVÁ, Marie. Geometrie ve světě dětí i dospělých. Vydání první. Hradec Králové: Gaudeamus, 2001, 109 stran. ISBN 8070414936. info
Teaching methods
lectures
Assessment methods
project, credit
Language of instruction
Czech
Further Comments
Study Materials
The course is also listed under the following terms Spring 2024, Spring 2026.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/spring2025/CMS08