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Financial Mathematics in Czech Textbooks from the Marchets's Reform
Melcer, Martin ; Bečvářová, Martina (advisor) ; Hora, Jaroslav (referee) ; Odvárko, Oldřich (referee)
Title: Financial Mathematics in Czech textbooks from the Marchet's Reform Author: Martin Melcer Department: Department of Mathematics Education Supervisor: doc. RNDr. Martina Bečvářová, Ph.D. Abstract: The PhD thesis presents a comprehensive view of the development and the position of financial mathematics in Czech textbooks and collections particularly those used in high schools with consideration of the political situation in our country. The analysed period from 1908, i.e. from the Marchet's Reform, to the present is divided into five principal stages. In each stage textbooks covering financial mathematics instruction in all types of secondary schools are chosen. This shows the level and extent of the presentation, the complexity of the given tasks and problems and the way in which they are integrated into the textbooks or the syllabus, more precisely. At first the basic general characteristics of the textbooks are presented followed by a detailed description of partial topics of study which are then analysed thoroughly and mutually compared. The conclusions of the PhD thesis reflect the current situation of financial mathematics instruction and offer ways leading to the improvement in the level of financial literacy of our citizens. Keywords: financial mathematics, principal, interest, debt, annuity,...
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On sphere
Ivan, Matúš ; Bečvářová, Martina (advisor) ; Surynková, Petra (referee)
This diploma thesis describes historical evolution of calculation of sphere's volume and surface and provides an analysis of textbooks for secondary and primary schools. It is made with the intention to inspire high school teachers with various approaches of teaching the volume and surface of solid bodies. It can help teachers with motivation of students as well as with selection of textbook and teaching methods for the issue. This thesis is meant to inspire high school students interested in history of mathematics, too. It includes analysis of preserved exercises on the topic from ancient Egypt and Mesopotamia as well as findings from Archimedes' works, which were devoted to this topic. Moreover it describes contribution of enlighteners on the subject and shows exact procedures of derivation of formulas using integral calculus.
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Volume and surface of sphere
Ivan, Matúš ; Bečvářová, Martina (advisor) ; Halas, Zdeněk (referee)
This work presents historical development in methods of calculating volume and surface of a sphere. It's made for high school teachers as a resource for teaching about volume and surface of solids and for high school students who developed interest in historical outlook for this theme. It contains description of particular preserved tasks from ancient Egypt and Mesopotamia. It compares precision of particular approaches taking into account the precision of the constant π. It analyses proofs of facts about volume and surface of sphere from ancient Greece. It describes assets of enlighteners for this theme and shows exact approaches for deducing the formulas for calculating volume and surface of a sphere.
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Life and Work of Josef Úlehla
Vízek, Lukáš ; Bečvářová, Martina (advisor) ; Veselý, Jiří (referee) ; Sýkorová, Irena (referee)
Title: Life and Work of Josef Úlehla Author: Lukáš Vízek Department: Department of Mathematics Education Supervisor: prof. RNDr. Martina Bečvářová, Ph.D. Abstract: Josef Úlehla (1852-1933) was an important Czech teacher, he taught mathematics and natural sciences at primary and secondary schools in Moravia. He wrote a number of monographs, textbooks, articles and translations of foreign language publications. This thesis describes Úlehla's life, brings the detail analysis and evaluation of his mathematical works and mentions his other publications. The text contains a lot of illustrations and the thesis is supplemented by factual attachments. Keywords: Josef Úlehla, mathematics, education, history
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On sphere
Ivan, Matúš ; Bečvářová, Martina (advisor) ; Surynková, Petra (referee)
This diploma thesis describes historical evolution of calculation of sphere's volume and surface and provides an analysis of textbooks for secondary and primary schools. It is made with the intention to inspire high school teachers with various approaches of teaching the volume and surface of solid bodies. It can help teachers with motivation of students as well as with selection of textbook and teaching methods for the issue. This thesis is meant to inspire high school students interested in history of mathematics, too. It includes analysis of preserved exercises on the topic from ancient Egypt and Mesopotamia as well as findings from Archimedes' works, which were devoted to this topic. Moreover it describes contribution of enlighteners on the subject and shows exact procedures of derivation of formulas using integral calculus.
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Financial Mathematics in Czech Textbooks from the Marchets's Reform
Melcer, Martin ; Bečvářová, Martina (advisor) ; Hora, Jaroslav (referee) ; Odvárko, Oldřich (referee)
Title: Financial Mathematics in Czech textbooks from the Marchet's Reform Author: Martin Melcer Department: Department of Mathematics Education Supervisor: doc. RNDr. Martina Bečvářová, Ph.D. Abstract: The PhD thesis presents a comprehensive view of the development and the position of financial mathematics in Czech textbooks and collections particularly those used in high schools with consideration of the political situation in our country. The analysed period from 1908, i.e. from the Marchet's Reform, to the present is divided into five principal stages. In each stage textbooks covering financial mathematics instruction in all types of secondary schools are chosen. This shows the level and extent of the presentation, the complexity of the given tasks and problems and the way in which they are integrated into the textbooks or the syllabus, more precisely. At first the basic general characteristics of the textbooks are presented followed by a detailed description of partial topics of study which are then analysed thoroughly and mutually compared. The conclusions of the PhD thesis reflect the current situation of financial mathematics instruction and offer ways leading to the improvement in the level of financial literacy of our citizens. Keywords: financial mathematics, principal, interest, debt, annuity,...
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Life and Work of Wilhelm Matzka
Chocholová, Michaela ; Bečvářová, Martina (advisor) ; Hora, Jaroslav (referee) ; Hykšová, Magdalena (referee)
Wilhelm Matzka (1798-1891) was a German mathematician as well as an important person of the University of Prague and an eminent representative of the mathematical community in the Czech countries in the middle of the 19th century. This thesis is original and reminds of his life as well as of his scientific, pedagogical and organizational activities. The center of this work is formed by the analysis and the evaluation of Matzka's mathematical work, its classification in the development of mathematics and its education. There are mentioned his studies and monographs on mathematical applications like physics, chronology, astronomy and geodesy as well, which give the thesis a sig- nificant interdisciplinary character. This thesis presents also lot of historical connections and provides a view of the situation in the German, Czech and European world of mathematics in the 19th century.
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Volume and surface of sphere
Ivan, Matúš ; Bečvářová, Martina (advisor) ; Halas, Zdeněk (referee)
This work presents historical development in methods of calculating volume and surface of a sphere. It's made for high school teachers as a resource for teaching about volume and surface of solids and for high school students who developed interest in historical outlook for this theme. It contains description of particular preserved tasks from ancient Egypt and Mesopotamia. It compares precision of particular approaches taking into account the precision of the constant π. It analyses proofs of facts about volume and surface of sphere from ancient Greece. It describes assets of enlighteners for this theme and shows exact approaches for deducing the formulas for calculating volume and surface of a sphere.
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