The topic of the thesis is the use of selected tasks, which I created in my bachelor thesis, in the mathematics teaching at grammar schools. These are problematic word problems from geometry curriculum with financial themes. The aim of the thesis is to find out the role of the word problems in pupils' motivation in teaching. The theoretical part describes the issue of motivation and pupil motivation for learning. I also deal with problem of word problems, their definition and typology. The practical part is focused on experiment with aim to find out the use of selected tasks in the mathe- matics teaching at grammar school. In the experiment, I primarily examined whether the tasks motivated pupils , how successful they were in solving and the influence of financial themes in selected tasks on the pupil's emotional state or his success in solving the task. I processed statistical data quantitatively and qualitatively. To collect statistical data, I used a questionnaire and observation. The evaluation of the experiment includes statistics on pupils' motivation to solve the tasks and pupils' success in solving the task. According to research results, pupils were motivated by the tasks. The difficulty of the tasks is proportional to the level of mathe- matical abilities of pupils at grammar school. The...

The thesis is focused on the Sketchometry program and its meaningful usage. It is aimed at the program being joined within math lectures and there are two points of view - the teacher's one and the pupil's one. The thesis deals with the important aspects that influence the efficiency of the utilization of modern technologies in the schools. The results of the implemented projects in practice are contained in this work. The authentic photographs are added to make a better imagination of the workshops. The outputs from observation at the grammar school are presented by solved exercises made by the pupils in the Sketchometry program.

The work deals with financial mathematics and its teaching in upper secondary school. This thesis contains introduction to finance, simple and compound in- terest, securities, bonds, loans and savings. The work is also presented in the form of web pages. The web pages are enhanced with interactive features such as applets in GeoGebra and step-by-step solutions for exercises. The web pages include a final test in which one can check his knowledge. The test contains ten randomly generated tasks which cover the curriculum of the thesis. The work is meant as an extending teaching materials for upper secondary school pupils. 1

This thesis is concerned with exploration of the interdisciplinarity of school subjects, specifically the link between mathematics and physical education. The educational goals and content of these subjects, as they are taught in majority of schools, are described in the theoretical part. The subsequent chapters analyze the form of interdisciplinarity in the current educational system, with the focus on the interdisciplinary relation between mathematics and physical education. The practical part of this thesis consists of case reports of students who took part in physical education with activities focused on rhythm in mathematics. This intervention was administered in two fourth grade classes, that were compared with two different fourth grades that took part in regular physical education. The differences between these classes were investigated by examining the students' attitude towards mathematics and physical education, as well as students' mathematical knowledge, which was assessed by administering tests before and after the physical education interventions. Additionally, the thesis contains the collection of the exercises that the students took part in, and which can be used to improve rhythmical and mathematical abilities. KEYWORDS mathematics, physical education, interdisciplinary relations,...

This diploma thesis deals with the teaching of mathematics in Italian language in the bilingual Italian-Czech section of Grammar School Ústavní in Prague, the Czech Republic, where I have been teaching since 2012. The main aim of this work is to analyse and systematize the positives and negatives of the bilingual teaching of mathematics in this environment. The most important problems and challenges, a teacher has to deal with while teaching mathematics in Italian, the language different from pupils' mother tongue, are introduced in this work. All the used and illustrating examples are based on my own practical training of an Italian Math teacher and are taken within one school year. Moreover, these examples are supported by my own problem solving options. The thesis also contains reflections about results of the bilingual teaching of mathematics both in mathematical and linguistic terms. Theoretical part deals with a general description of bilingualism, bilingual teaching of mathematics, and bilingual Grammar School Ústavní. Practical part describes not only the main differences between curriculums, textbooks, and mathematical assessments in Italy and the Czech Republic but also the course of school year 2016/2017 in classes 3.C and 4.C. The description is based on both the analysis of lessons of...

The subject of this diploma thesis is to search for the possibilities of using the Maple program for teaching financial mathematics. The basis is to create the maplet, which allows to users to fully benefit from the the strength of CAS (computer algebra system) created by the division Maplesoft of the company Waterloo Inc., through a simple graphical user interface. Maplets provide all the necessary tools for the calculations, they are very illustrative and help students to better understand certain problem. Detailed evolution of the maplets from its development through possibilities to its creation is also important part of this diploma thesis.

The aim of this thesis is the analysis of applications, suitable for teaching mathematics using mobile devices such as iPad and tablets using Android or Windows. Selected applications are classified according to thematic chapters plan with respect to the phase creation concepts of process. It was also realized instructional hours with the selected app for the Android platform.

This diploma thesis called Estimations in Mathematics at Elementary School is created as an auxiliary teaching material. It acquaints the readers with the concept of mathematical estimation and presents its basic divisions. It also provides graphic instructions how to make estimations and it contains plenty of problems which serve as a systematic practicing and training of the ability of estimating. In addition, the form of individual problems shows spheres in which estimating is convenient to develop. At the end of the work there are presented research-oriented problems with the need of estimation.

The thesis maps the subjective meaning ascribed to the terms of mathematics and physics by students of secondary schools in České Budějovice. We investigate whether the perception of these tems is influenced by the offer of non-formal education. Main part of thesis is based on research supported by theoretical findings. The theoretical part deals with mathematics and physics in formal and non-formal education, describes the offer of informal education at high schools selected by us and we also describe there the semantic differential method used by us, which is proven in exploring connotative meanings of terms. In the practical part of the work we describe a project of empirical research in detail, the process of data collection and in conclusion, we describe the results obtained.

1 Abstract Meaning of numbers between Plato and Aristotle Antonín Šíma The dissertation titled "The Transformation of the Concept of Number between Plato and the Early Academy" deals with the problem of numbers in early Platonism between Aristotle and Plato. In Plato's dialogues, within professional mathematical disciplines of knowledge, numbers fulfil a function of propaedeutic procedure to the method of thinking − dialectic. Dialectic engages in the most general structures of thinking whose centre is the problem of being and good, which is only mentioned marginally in our thesis. The philosophy of dialogues is based on the ontological and epistemological dignity of unchanging and eternally existing ideas. In Metaphysics A Aristotle describes Plato's and the Platonic doctrines of the early Academy in whose centre there are principles expressed by numbers: one and indefinite two, which are assessed according to Aristotelian principles doctrine as form and matter. Aristotle mentions Platonic dialectical method which focuses on researching the general in speech. This method distinguishes Platonic thought from Pythagorean philosophy in Aristotle's precursors' philosophy overview. In the criticized doctrine, numbers have the same meaning as ideas or ideal numbers standing on the scale of ontological dignity...