This diploma thesis deals with the relations between mathematics and geography in teaching at grammar school at implemented curriculum level. In theoretical part it deals with conceptions of teaching which support connection of educational content of individual subjects as well as general possibilities for realization interdisciplinary relations of mathematics or geography. There are also concrete interdisciplinary relations between mathematics and geography presented and there are identified main reasons why the developing of connection berween the mentioned subjects is important. Problems of the realization interdisciplinary relations at teaching conducts a survey by halfstructured interview with mathematics teachers. Their answers provide the view of realized curriculum and they uncover opportunities and limitations the tachers of mathematics at level of interdisciplinary connection deals with in practice. There are mainly teachers with mathematics and geography qualification, who can give their opinion on relations of these two subjects. There were prepared six lessons in this diploma thesis focused on active use of interdisciplinary relations of mathematics and geography. Then the autor taught it at grammar school and it made practical review of possibilities and restrictions of such teaching....

There were about 6.7 % of inhabitants in foreclosure in the Czech Republic in 2020. The most likely cause is population's low financial literacy whose bases we get at primary school. So we asked whether pupils really learn financial literacy at primary school. We found data for teaching plan in the framework educational programme. We realised, using a questionnaire for teachers, among other things that the number of lessons dedicated to financial literacy is really low. We verified fulfilment of framework educational programme by a test for primary school pupils which was completed by 113 pupils. It showed that they have very low knowledge of financial literacy. Then, we evaluated the situation after primary school through the same test which was filled in by 157 people who completed primary school. The results were better than in case of pupils. Finally, we suggested steps for increasing financial literacy, for instance raising the number of lessons. 1

TITLE: Indicators of Captivation in Mathematics AUTHOR: Eliška Kmínková DEPARTMENT: Department of psychology, Faculty of Pedagogy, Charles University in Prague SUPERVISOR: Doc. PhDr. Isabella Pavelková CSc. ABSTRACT: The objective of the presented research is to map which various motivational factors play an important role in school task situation, more precisely during working on mathematics task. We focus especially on situational motivation but also on long-term motivational characteristics. We verify pupils' captivation through behavioral, cognitive and emotional indicators. We ascertain the impact of captivation on pupil's work on the task and subsequently pupil's achievement in the task. We theoretically analyze especially the following motivational variables: attitudes to school subject, motivation to learn, individual interest, situational interest, target orientation, achievement motivation, flow experience and self-efficacy. We verify the theoretic fundaments in an experiment that was realized in 2012 at various types of primary schools in mathematics. This study used a questionnaire survey approach, tasks done by children and interviews with mathematics teachers to collect data. For data analysis we used quantitative and qualitative approach. Results reveal captivation has not positive impact on...

This Diploma thesis is based on the teaching practice done online. It looks at the possibilities of online teaching of Mathematics and its concepts, and at how to teach Mathematics online well. The aim of the thesis is to compare distance learning in the Czech Republic and chosen countries in the European Union. The current situation changed in the European schooling and teaching was done remotely since Spring 2020. This thesis takes this situation and looks at three main areas: literature search, where theoretical background is described, summarized data for distance learning in the World, which I got from the internet, and lastly a part where I observed teaching in the given context, both as an observing student and as a teacher. The teaching practice was done in the first year of the lower secondary school, during a focus on the topic of solving equations. The analysis and the reflection of the class are put into the context with the analysis of the topic of solving equations as presented in chosen textbooks both at primary and lower secondary school level. The thesis also includes a summary of all the reports published during the pandemic by CSI that examined the impact of the pandemic on the teachers, the students, and the parents. The final part of the thesis presents a summary of gained...

Nowadays, mathematics is an elementary study area. A person who has not encountered it is hard to find. However, students often loathe mathematics and are afraid of it. Goal of this term project is to design and analyze software for mathematics education for elementary school, middle school, and high school students. We describe the motivation behind the software and its functionality. The software will be used solely for self-study. We attempt to create software which would ensure that students are not afraid of mathematics and that they enjoy their studies.

TITLE: Possibilities of interactive whiteboard in education ABSTRAKT: The dissertation is focused on the usage of didactic technology especially interactive whiteboards in education of mathematics in elementary and secondary schools. The theoretical part deals with particular types of whiteboards and software of different companies. It introduces the basics and possibilities in use of interactive whiteboard in education of mathematics. The dissertation also contains processed and practice-tested lessons created by ACTIV Studio software for the chosen subject of the mathematics curriculum - Sets. This effort should be a good inspiration for all pedagogues in their initial work with interactive whiteboards. KEY WORDS: Information and Communication Technologies, interactive whiteboards, ACTIV Studio, Mathematics, advanced method of education

This thesis Financial Mathematics at lower secondary level focuses on financial mathematics at lower secondary level. The first part consists of two chapters. The first chapter describes financial mathematics and its importance for financial literacy. The second chapter presents research of textbooks in which there is the financial mathematics topic. The second part of the thesis describes pedagogical experiment aimed to determine how a selected group of pupils cope the tasks and problems from financial mathematics. The tasks and problems in this section were posed by the author of the thesis. The evaluation of the experiment is based on students' work samples. The last chapter describes teaching of financial mathematics in two classes at lower secondary level.

In this thesis we present the Stone representation theorem, generally known as Stone duality in the point-free context. The proof is choice-free and, since we do not have to be concerned with points, it is by far simpler than the original. For each infinite cardinal κ we show that the counter- part of the κ-complete Boolean algebras is constituted by the κ-basically disconnected Stone frames. We also present a precise characterization of the morphisms which correspond to the κ-complete Boolean homomorphisms. Although Booleanization is not functorial in general, in the part of the dual- ity for extremally disconnected Stone frames it is, and constitutes an equiv- alence of categories. We finish the thesis by focusing on the De Morgan (or extremally disconnected) frames and present a new characterization of these by their superdense sublocales. We also show that in contrast with this phenomenon, a metrizable frame has no non-trivial superdense sublocale; in other words, a non-trivial Čech-Stone compactification of a metrizable frame is never metrizable. 1

The diploma thesis is a pilot study focused on the analysis of teacher activities, physical load and factors that influence it in teaching mathematics at primary school in mathematics teaching, in the context of activities and methods of work that the teacher puts in the context of curriculum in this educational area. In the introductory part there are necessary theoretical bases for the work and fulfillment of the set goal. Pedagogical research is realized on two probands - teachers of 1 st. Elementary School. The basic method is to analyze the teaching activities of both teachers in 4 classes. The collection of necessary data is obtained by the method of observation, where the evaluation is based on multimedia records of 7 mathematics lessons from a two-month period. At the same time, using the heart rate sensing method in both probands, we recorded average heart rate and local heart rate extremes. In the results section, the results of observations and recordings from sport-tester with graphs are interpreted, where each unit is supplemented by a discussion. The final part summarizes the results and recommendations into practice.

TITLE: Healthy lifestyle in the educational reality of a selected school AUTHOR: Vladimír Doležal DEPARTMENT: Department of Education SUPERVISOR: MUDr. Bc. Rostislav Čevela, Ph.D. ABSTRACT: This diploma thesis deals with the education and healthy lifestyle in the category of teenagers. The aim of the diploma thesis is to map out the important issues that affect the lifestyles of teenagers, mainly in relation to the secondary school environment, school documents, such as ŠVP, RVP and the effects of high-risk behavior. The diploma thesis also focuses on the important aspect of this topic, the interaction teacher - pupil, the aim of this section is to document and analyze whether the students perceive their teacher's approach to a healthy lifestyle and whether it's something that personally affects them. The current approaches to the education and healthy lifestyle in the secondary school environment are documented and analyzed in the diploma thesis. A brief excursion into the history of these key concepts is also included in the diploma thesis. KEYWORDS: Education, lifestyle, high school, student, teacher, ICT.