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Venn diagrams - Teaching Mathematics using the CLIL method for upper secondary pupils
Vojířová, Barbora ; Novotná, Jarmila (advisor) ; Moraová, Hana (referee)
This thesis focuses on the teaching of mathematics using the CLIL method. The topic is Venn diagrams and learning how to solve problems using these diagrams. The language chosen for the CLIL method is English. First, the CLIL method is described, and later I introduce sets and Venn diagrams. The aim of the thesis is to prepare and implement two lessons using the CLIL method in English, and two lessons in Czech, followed by preparing a test in both languages for a third lesson. The thesis was realized by conducting a teaching experiment, which took place in two classes of multi- year grammar school (in the Quintas - the first year of secondary school). I have compiled and tested four worksheets - two with Czech tasks, two with English tasks, a presentation for the lesson using the CLIL method, and tests for both language versions. Both the tasks and solutions are part of the thesis. Before the preparation of the thesis, the following two research questions were identified: 1. What needs to be taken into consideration when preparing for the Venn diagrams lesson using the CLIL method, and what needs to be added to this lesson compared to the Czech lesson? 2. At what success rate will pupils learn using the CLIL method in English and pupils using Czech, with regard to equation building and answers to...
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Comparing methods of mathematics teaching with a focus on geometry
Stříbrná, Eliška ; Tůmová, Veronika (advisor) ; Kloboučková, Jaroslava (referee)
The goal of this diploma thesis is to observe, characterize ale reflect two well-known methods of teaching mathematics - so-called classical method and method according to professor Hejný, on the example of two second grade class teachers of elementary school with a focus on geometry. In the theoretical part I list several research works concerning class room observation. I use these to set up methodology of my own research. Moreover, the methods are characterized according to the literature and the analysis of the textbooks. Also the outputs of the Framework Education Programme (in Czech "Rámcový vzdělávací program") are presented in this theoretical part. I use these outputs to evaluate whether the method leads students to what they should know. The practical part consists of observing lessons of two teachers, my own teaching experience in the given classes and final questionnaire for students. Data collected from these observations are analysed with the help of qualitative and quantitative methods. The representative of the so-called classical method put emphasis on repetition and system. He usually asks students questions that require a shorter response. Students do not enjoy the school and geometry that much, but the knowledge results are quite good. The representative of the method according...
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Circumferences and areas of plane figures
Šrámek, Martin ; Robová, Jarmila (advisor) ; Šarounová, Alena (referee)
Title: Circumferences and areas of plane figures Author: Martin Šrámek Department: Department of Mathematics Education Supervisor: doc. RNDr. Jarmila Robová, CSc. Abstract: This diploma thesis Circumferences and areas of plane figures is designed for teachers and high school students. Teachers might find some interesting tasks including various metric problems from the field of synthetic geometry as well as inference of mathematic equations for calculation circumferences and areas of plane figures which are taught at elementary schools and high schools. Pupils can appreciate solved tasks and their knowledge can be applied to other similar tasks. The ninth chapter includes more difficult tasks. There are many drawings exported from GeoGebra which can help students to understand the task better. Keywords: circumference, area, length, teaching of mathematics
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Beneficial utilisation of GeoGebra software in geometric constructions at the lower secondary level of basic school
Krejčíčková, Klára ; Holíková, Marie (advisor) ; Jančařík, Antonín (referee)
Diplomová práce se zabývá využitím programu GeoGebra ve výuce ma- tematiky, konkrétně v tématu konstrukce trojúhelník·. Cílem práce bylo na- vrhnout přípravu na hodiny výuky konstrukce trojúhelník· s využitím pro- gramu GeoGebra a následně ověřit, zda využití softwaru dynamické geometrie mělo vliv na zvládnutí nového učiva. Teoretická část obsahuje použité pojmy z planimetrie. V dalších dvou kapitolách se čtenář seznámí s programem GeoGebra a GeoTest a některými výzkumy, které jsou zaměřené na použití program· dynamické geometrie ve výuce matematiky. Následuje kapitola se- znamující s úlohami, které jsou v experimentu využity, a popisuje přípravu jednotlivých hodin. Poslední část je věnovaná pr·běhu experimentu, srovnání výsledk· žák· pomocí test· s kontrolní třídou. Získaná data jsou zpracována na základě pozorování a test·. Výsledky pozorování a analýzy potvrzují, že GeoGebra je vhodným doplňkem výuky konstrukce trojúhelník·. 1
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Financial literacy and its inclusion in the curriculum of practical primary schools
Löffelmannová, Anna ; Kloboučková, Jaroslava (advisor) ; Tůmová, Veronika (referee)
The theoretical part of the diploma work defines intellectual disabilities, as well as the possibilities of counselling and educating of pupils with mental disabilities. Further, the thesis discusses education and re-education of pupils with diagnosed mental retardation. It outlines the inclusion of financial literacy into the curricular documents intended for pupils with a mental disability across educational areas with emphasis on mathematics. The thesis introduces materials and their parameters suitable for the inclusion of financial literacy at practical primary schools. The practical part covers experimental education of individual thematic topics of financial literacy at practical primary schools. The carried out initial diagnostics of pupils at a selected practical primary school focused on percentages, simple interest and a family budget. This diagnostics had a general character, as was also verified. Furthermore, the thesis presents a detailed record from own executed teaching with regard to four monitored pupils, including their casuistry. After the completion of the teaching, its success was assessed. The work can be used not only by teachers at practical primary schools but also at ordinary primary schools, because it contains a series of graded tasks that lead to the development of...
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Possibilities of using Wolfram Mathematica program in Mathematics Teaching
Krejčíčková, Klára ; Jančařík, Antonín (advisor) ; Kvasz, Ladislav (referee)
The aim of the thesis is analyzing of possibilities in application of program Wolfram Mathematica in education of Math. All analysed options are supported by applets created in investigated program. The text is focused on introduction of background of the program and web support including instructions and all prepared materials. The thesis mainly emphasizes on creation of demonstrations in program Wolfram Mathematica. Particular parts of the text are also focused on programs such as Wolfram Alpha, Wolfram Demonstration Project a Wolfram Problem Generator. 1
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Web application: Basic knowledge of mathematics at secondary school
Pavlicová, Vladimíra ; Robová, Jarmila (advisor) ; Karger, Adolf (referee)
The presented work is intended to serve as a teaching material in particular for pupils of the first year of secondary school, focusing on the basic knowledge of mathematics. The first part of the thesis is devoted to an analysis of existing web page, which corresponds to the theme of the diploma thesis. The evaluation takes into account the expertise as well as the scope of use of interactive elements. In the next part, the created teaching material in a form of web page is presented. It deals with the subject matter of powers, roots, polynomials and rational expressions. In accordance with current trend, the emphasis is put on both visualisation of curriculum (charts, use of graphics) and interactivity. All exercises to practise involve solution, therefore users are allowed to gain immediate feedback and thus to study individually. Web page is free available.
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Implementation of Challenging Tasks in Mathematics Education
Růžičková, Lucie ; Kopáčková, Alena (advisor) ; Harminc, Matúš (referee) ; Tichá, Marie (referee)
Title: Implementation of Challenging Tasks in Mathematics Education Author: PhDr. Lucie Růžičková Department: Department of Mathematics and Mathematics Education Supervisor: RNDr. Alena Kopáčková, Ph.D. ABSTRACT The thesis deals with practical implementation of challenging tasks in mathematics education. The methodology for examining "the fidelity of implementation of mathematical tasks" is being designed to describe whether the task is used according to the original intention of the teacher or according to the intention of its author. This methodology is employed in the analysis of four experiments to examine mathematical tasks and task environments. Then, based on the experience with the analysis, the methodology is adapted to the needs of both the teaching practice and educational research. The main result of the thesis is the creation of the methodology for examining the fidelity of implementation of mathematical tasks which is based on contrasting the descriptions of four general elements of the mathematical task at different phases of its implementation. KEY WORDS: mathematics education, mathematical task, challenging task, implementation of tasks
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Pupil with specific learning disabilities and mathematics education in the second grade of primary school
Dvořáková, Anna ; Felcmanová, Lenka (advisor) ; Kotvová, Miroslava (referee)
TITLE: Pupils with specific learning disabilities and mathematics education in the second grade of primary school AUTHOR: Bc. Anna Dvořáková DEPARTMENT: Department of Special Education SUPERVISOR: Mgr. Lenka Felcmanová ABSTRACT: The bachelor thesis deals with problems of mathematics education for pupils with specific learning disabilities in the second grade of primary school. Pupils with specific learning disabilities need special education support in mathematics lessons. Mathematics teachers should offer them this support. The level of mathematics education for pupils with specific learning disabilities is dependent on the level of knowledge, skills and the experiences of teachers and on the readiness of a school in dealing with pupils with specific learning disabilities. The theoretical part described problems like the deficits of partial functions, dyscalculia, and pupils with dyscalculia in mathematics lessons. It provides the needed academic foundation for the actual research. The field studies show the results of the qualitative methods of research of the readiness of mathematics teachers and schools in dealing with pupils with specific learning disabilities. It focuses on the needs of pupils and the possibilities for special education support. The thesis evaluates the current situation and...
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