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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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GeoGebra in mathematics education
Havelková, Veronika ; Zhouf, Jaroslav (advisor) ; Jančařík, Antonín (referee)
The aim of this work is to introduce and assess the potential of using GeoGebra software on multiple levels of mathematical education process and to analyze the expectation of pupils and students using this program. A reader is introduced to GeoGebra program itself and to various researches and articles sharing this common topic - usage of dynamic geometry educational programs and GeoGebra in mathematical education. This work is supported by two field researches that were carried out at the second stage of an elementary school and by another reseach made with students of mathematical education at the Charles University, the Faculty of Education. Next part of this work presents and covers more possibilities of using this program in the educational process of the second stage of elementary schools, and it also shows various options the program offers not just for teaching of mathematics, but also for other fields.
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Web application for teaching of volume and surface area of solilds in secondary schools
Rakušanová, Lucie ; Robová, Jarmila (advisor) ; Surynková, Petra (referee)
This thesis is focused on the volume and surface area of solids, particularly on the volume and surface area of polyhedra, which are part of the high school curriculum of geometry (stereometry). The purpose of website is to provide supporting and comple- mentary material for students as well as for their teachers. The website contains several photographs, illustrations and interactive components that make it easier to understand the topics. Interactive elements include applets created in a dynamic geometry appli- cation called GeoGebra, hyperlinks, and step-by-step exercise solving. Furthermore, the thesis is supplemented by solved problems and a final summary test. 1
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Conceptual tasks in teaching of mathematics
Harčarová, Denisa
The purpose of this diploma thesis is to explore method of teaching mathematics called Peer Instruction based on concetpual tasks. Diploma thesis explains the needs for its development, describes the misconceptions of students, which are the reason for changing the focus of teaching from passive learning to active participation. It also shows the usage of this method during the lesson. The main focus is the topic Divisibility of natural numbers. Slovak and Czech students textbooks are characterized concerning the possibility to be used in Peer Instruction teaching. The last chapter deals with using the conceptual tasks in the teaching process, which took place in two grammar schools.
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Various concepts of teaching of axial symmetry in elementary schools
Bečanová, Veronika ; Jančařík, Antonín (advisor) ; Pilous, Derek (referee)
The aim of the thesis is to describe and compare two aproaches to the education of axial symmetry in elementary schools. On the basis of the study of specialized literature, the thesis describes different ways of the axial symmetry education and also compares the contributions on the side of pupils as well as the demands on teacher's class preparation. The main goal of the practical part of the thesis was to prepare, realize and evaluate axial symmetry education itself in two classes and to compare it with a different didactic aproach in other two classes of the sixth year. The thesis deals with axial symmerty education containing some of the elements of the constructivist style in classes where pupils have no experience with the method. The teaching itself consisted of the author's own activities and modifications of the worksheets that were subsequently used by pupils, followed by evaluation of their meningfulness. The lessons were evaluated on the basis of audio records, own notices, pupils' solution records and interviews with the assistant of the teacher, the outputs by means of pre- testing and post-testing. The results indicate that the lessons with the elements of constructivist teaching could be more effective for pupils rather than the transmissive teaching. The pupils considered the...
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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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