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Distance learning mathematics on the topic of Pythagorean Theorem
BEZROUKOVÁ, Kamila
This diploma thesis Distance teaching of the Pythagorean theorem deals with the topic of the Pythagorean theorem and distance teaching. The main objective of the thesis was to create interactive teaching materials for distance teaching of the Pythagorean theorem. The thesis contains detailed materials and reflections collected from the teachers and learners. It is a complex material with activities which can be used by teachers at elementary schools.
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Creation and use of teaching materials for lower secondary school mathematics in GeoGebra
KOŠAŘOVÁ, Monika
Although the GeoGebra programme is known at basic schools, its online form on the web site geogebra.org is almost completely unused. This bachelor thesis, named The Creation and Use of Teaching materials for Lower Secondary School Mathematics in GeoGebra, introduces possibilities the programme offers in the online world. It mainly focuses on the creation of materials, dynamic applets, individual working sheets and their following grouping into the so called GeoGebra books. Furthermore, the thesis deals with the sharing of materials through the so called Groups and samples of options, which they offer. My own book, The Creation and Use of Material in the GeoGebra Programme for Basic School, available on the geogebra.org site, is also a part of the thesis. The chosen topics aim at lower secondary school. The resulting work gives readers instructions to the creation of materials and use of GeoGebra's online service for tuition of mathematics.
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Didactic approaches to the teaching of some mathematical topics at the primary school in teachers ́ diskurse
Vencovská, Jaroslava ; Vondrová, Naďa (advisor) ; Kvasz, Ladislav (referee)
The aim of the thesis was through a new analysis of interviews with teachers of mathematics, to describe didactic practices used by teachers while teaching selected topics (namely, proportions, linear equations, divisibility, percent, symmetry, Pythagorean theorem ) and compare them with the practices reported in textbooks and other literature. First, teaching methods, teaching forms and the mechanism of concept development by M. Hejný are given. Based on the analysis of more than thirty interview, it was found that teachers use the usual didactic practices but also create their own methods and procedures. These methods and techniques are provided for each critical issue separately in the fourth chapter of the thesis. Furthermore, the content analysis of selected textbooks is given for each topic. Identified practices of teachers which they use in their teaching practice, form the result of my work.
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Imagination of infinity
Semerád, Martin ; Pauza, Miroslav (advisor) ; Sak, Petr (referee) ; Jirků, Petr (referee)
This work deals with a basic question of modern science and it is its indefectibility. Quality of education is reduce to an evaluation of conformity to a common known knowledge and its quantity representation. Seeds of this long process go back to an ancient academia of Gondisapur established in an Arabic world. Author proclaims that the main goal of philosophy is to show, that this is not the only way of thinking and in the same time that the main goal and power of phenomenology is to apply the transcendental epoche to overcame the truth in its regularization shape. The hardcore of modern science is located in the world of mathematics and a lot of thinkers find the Math as a land of pure sureness - the core of this work in an opposite proofs, that in fact nowadays math is all, but the correct way of thinking. The two examples are explicit: the Pythagorean Theorem and the Sum of the geometric row. This work brings a quite new view on the mathematical problem of "the point" and "the nothing" as a border of things. In the second part uses as a frame of its topic the first 18 §§ of the work "Paradoxes of the infinite" by Czech mathematician of German mother tongue Bernard Bolzano. The important idea of this study is a new ontological view on the set of prime numbers.
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