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Pythagorean triangles
Sláma, Michal ; Jančařík, Antonín (advisor) ; Kvasz, Ladislav (referee)
Title: Pythagorean triangles Author: Michal Sláma Department: Department of mathematics and mathematical education Supervisor: RNDr. Antonín Jančařík, Ph.D. Abstract: The thesis considers usable problems concerning pythagorean triangles. In the first part, there is described an expression of a parametrization of pythagorean triangles. Next parts are dedicated to an expression of properties of edges and radii of the incircle and excircles. Next chapters describe Heronian triangles and their decomposition to pythagorean triangles, as a way to solution of the problem of a Heronian triangle where all heights are integer numbers. In addition are given some examples of triangles for school practice. Keywords: Pythagorean triangles, Heronian triangles, incircle and excircles, triangle heights as integer numbers
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Experiments in DGS
Sláma, Michal ; Jančařík, Antonín (advisor) ; Zamboj, Michal (referee)
TITLE: Experiments in DGS AUTHOR: Michal Sláma DEPARTMENT: Department of Mathematics and Mathematical Education SUPERVISOR: doc. RNDr. Antonín Jančařík, Ph. D. ABSTRACT The aim of this diploma thesis is to find out whether the pupils of the second stage of primary school, specifically the pupils of the 6th grade, are able to experiment independently in the environment of dynamic geometry with a suitably prepared material. The theoretical basis of the work includes the study of the valid intended curriculum of geometry at the second stage of primary school, the relationship of so-called inquiry-oriented teaching to the possibility of student experimentation in learning geometry, the study of pedagogical theories in connection with inquiry education and also in relation to mathematisation, which is in the teaching of mathematics and geometry necessarily required. The student experiment is conceived here as an independent didactic method. From the point of view of the feasibility of the experiment and subsequent research, the environment of dynamic geometry was chosen - the GeoGebra system. The theoretical part of the work ends with a description of parameters important for the feasibility of experimentation in the environment of dynamic geometry in the teaching of geometry. The research part deals with the...
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All - society tolerated drugs an their impact on youth - social and societal implications
Sláma, Michal ; Nová, Monika (advisor) ; Kaňák, Jan (referee)
SLÁMA, Michal. Total Socio-tolerant Drugs in the Youth - Social and Societal Implications. [Thesis] / Michal Sláma - Prague: Charles University, Hussite Theological Faculty, Department of Psychosocial science and Ethics. 2018. p. 129. Advisor of thesis: PhDr. Monika Nová, Ph.D. - Degree of professional qualification: Magister. - Praha: HTF, 2018. 128 p. The thesis is divided into a theoretical and a practical part. The topic of the diploma thesis is all-society tolerated drugs an their impact on youth - social and societal implications. In the theoretical basis of the thesis, we focus on the definition of the concepts of the all-society tolerated drugs and its division, the use of drugs, the emergence of addictionc and the treatment of an addiction. We identify the concept of the socio-economic and social impacts of drug use among youth, as a consequence of their consequences for the somatic health and the social environment of man. The implications and consequences of the use of all-human drugs in youth are also addressed in the empirical part of the thesis. In order to meet the objectives and tasks of the research, the quantitative research method is used in the practical part of the thesis, using the information obtained from anonymous respondents who were young people within a defined...
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Pythagorean triangles
Sláma, Michal ; Jančařík, Antonín (advisor) ; Kvasz, Ladislav (referee)
Title: Pythagorean triangles Author: Michal Sláma Department: Department of mathematics and mathematical education Supervisor: RNDr. Antonín Jančařík, Ph.D. Abstract: The thesis considers usable problems concerning pythagorean triangles. In the first part, there is described an expression of a parametrization of pythagorean triangles. Next parts are dedicated to an expression of properties of edges and radii of the incircle and excircles. Next chapters describe Heronian triangles and their decomposition to pythagorean triangles, as a way to solution of the problem of a Heronian triangle where all heights are integer numbers. In addition are given some examples of triangles for school practice. Keywords: Pythagorean triangles, Heronian triangles, incircle and excircles, triangle heights as integer numbers
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