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Education Computer Program for Trigonometry
Plíšek, Martin ; Kubíček, Radek (referee) ; Štancl, Vít (advisor)
This bachelor's thesis deals with teaching math's problems. Main objective is teaching goniometry functions for basic schools. There have been made two applications for these purposes. First application named Goniometrie is oriented to teach goniomety functions on projection onto rectangular triangle or by presentation graphs of these functions. Second application is example editor ( Editor ), which is designed to creating examples for application Goniometrie . These examples can be useful for teaching.
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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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Solving stereometric problems in GeoGebra
HORÁČKOVÁ, Lenka
The aim of the bachelor's thesis on the subject of 'Solving stereometric problems in GeoGebra' was to create a collection of own solved examples from stereometry from the curriculum in the range from primary school, through secondary school to university training of mathematics teachers. The GeoGebra program is a support tool for this bachelor's thesis. The work focuses mainly on the curriculum of primary and secondary schools, partly also on the curriculum at universities. The work focuses mainly on square figures in the scope of the curriculum at primary and secondary schools and partly also at universities.
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Pythagorian Theorem in CLIL lessons
Dubová, Libuše ; Novotná, Jarmila (advisor) ; Procházková, Lenka (referee)
This diploma thesis, titled "Pythagorean Theorem in CLIL lessons", deals with one of the possible strategies in bilingual education - CLIL method which links teaching of a non- linguistic subject and a foreign language, mathematics and English, in this case. For the realization of CLIL method I have chosen the topic of the introduction to Pythagorean Theorem. The aim of this thesis was to check whether the chosen topic is suitable for CLIL lessons, then the influence of a foreign language on the active involvement of pupils in the lesson and on understanding of the subject matter. At the beginning, I focus on general integration of the content subject and a foreign language and then I describe the preparation of the experiment. The core of this thesis is the project of the CLIL lesson. The project was realized in the experimental groups, the gained data have been processed on the base of observation and analysis of the final individual work and the questionnaire. The results show the potential of the CLIL method as a new possibility for bilingual teaching of content subjects.
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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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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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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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Pythagorian Theorem in CLIL lessons
Dubová, Libuše ; Novotná, Jarmila (advisor) ; Procházková, Lenka (referee)
This diploma thesis, titled "Pythagorean Theorem in CLIL lessons", deals with one of the possible strategies in bilingual education - CLIL method which links teaching of a non- linguistic subject and a foreign language, mathematics and English, in this case. For the realization of CLIL method I have chosen the topic of the introduction to Pythagorean Theorem. The aim of this thesis was to check whether the chosen topic is suitable for CLIL lessons, then the influence of a foreign language on the active involvement of pupils in the lesson and on understanding of the subject matter. At the beginning, I focus on general integration of the content subject and a foreign language and then I describe the preparation of the experiment. The core of this thesis is the project of the CLIL lesson. The project was realized in the experimental groups, the gained data have been processed on the base of observation and analysis of the final individual work and the questionnaire. The results show the potential of the CLIL method as a new possibility for bilingual teaching of content subjects.
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Pupils' Construction of Knowledge in Mathematics (the Example of Pythagoras' Theorem)
Ulrychová, Michaela ; Vondrová, Naďa (advisor) ; Coufalová, Jana (referee) ; Hejný, Milan (referee)
The thesis deals with the process of construction of mathematical knowledge of an individual and a group of pupils. At the outset, some concepts are discussed which belong to the theoretical background of our research (knowledge construction process and its mechanism, typology of mathematical knowledge, character of a mathematical structure, constructivist approaches to the teaching of mathematics, creative teaching, action research). Some results of selected local and foreign research focusing on constructivist approaches and action research in mathematics education are given. The methodology mainly consists of teaching experiments which can, to a certain extent, be seen as cycles of cooperative action research. The target group consists of pupils of lower secondary grammar school. The data gathered through traditional methods of qualitative research (participation observation, audio and videorecordings, pupils' artefacts, notes of an external observer, etc.) were analysed using the techniques of grounded theory. The research has generated results of three types: (1) The categories of individual and group constructions in mathematics have been described in depth including their dimensions (the measures of the teacher's influence on the construction, of the pupils' cooperation, of pupils' formal acceptance...
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