This thesis deals with the algorithm of division with a remainder in connection with the development of cognitive abilities of Czech pupils. Due to the usual inclusion of this thematic unit (division with a remainder) in the third year of primary school, theoretically focused chapters dedicated to human ontogenesis, with regard to the child's cognitive development and educational system in the Czech Republic, are incorporated. From the thematic perspective, the work analyzes selected comprehensive series of textbooks for first grade of primary school, differentiating the exercises from propaedeutic through an introduction and application to non-standard tasks. Thesis examines the commonalities and differences in the concept of the analyzed textbooks by various authors. One of the criteria is the evaluation of approach to teaching based on identifying elements of constructivism or transmission. Another objective of the work is a research of selected problem-solving strategies of students dealing with tasks comprising division with a remainder. Solution methods were obtained by assigning of diagnostic test to pupils of a first grade of primary school. KEYWORDS division with a remainder, a primary school aged child, cognitive development of a child, teaching styles - transmission, constructivism,...

BPL technology is quite widespread nowadays and the public is also somewhat aware of it. This technology can be used as a means of communication without the need to install additional media and thus use the existing infrastructure. In an effort to use the full potential of the technology, BPL communication began to be used to monitor the current state of cables in distribution networks online. Where the technology is already fully implemented, the distributor can use the data to evaluate the current situation. In this way, BPL technology can be used as a diagnostic tool to test the quality of a cable connection on which not only time but also humidity and other external influences could have a significant effect.

This thesis focuses on the use of information technologies (ICT) in the development of children from families with low socio-economic background, specifically on the use of the Smart application. The theoretical part of the thesis discusses the specificity of the pre-school age from the perspectives of developmental psychology and social pedagogy. These disciplines are used to define the optimal characteristics and competencies necessary for school readiness. Next, specific aspects of school readiness and factors influencing this readiness are discussed. Relatedly, the specificities of upbringing in socially disadvantaged families and their impacts on child development are explored. In the following chapter, information technologies and their effects on child development are thoroughly discussed. The application Smart is then introduced, which is a specific tool designed to support the development of school readiness. The Smart application is then used in the empirical part of the thesis. Finally, at the end of the theoretical part, the diagnostic instrument Isophi is described. This instrument was used to evaluate the children participating in my research. The empirical part of the thesis describes a multiple case study of the development of children from families with low socio-economic...