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The use of new technologies in teaching mathematics
BUMBÁLEK, Roman
Modern information technologies accompany all of us in our daily life. They not only use to serve to our work and for the entertainment, they even have got a great potential to be used in the education. The submitted thesis deals with the appropriate utilization of the special IT application in the pedagogic process, especially in teaching of maths, the topic of trigonometric functions. The aim of this thesis is to create structures with a high potential of the modern technology handling. To tackle this task the graphical program GeoGebra was chosen due to its qualities for creating dynamic structures and the other advantages presented further in the thesis. To the created constructions the detailed instructions how they can be constructed are added. The thesis is also accompanied by worksheets with solved tasks, focusing on the application of trigonometric functions in real situations.
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Interactive word tasks with GeoGebra.
JANČICH, Jakub
This work serves as an auxiliary collection of math problems of the foundations of arithmetic.All examples are processed in GeoGebra and placed on the websites. Using GeoGebra is achieved by a dynamic surroundings where each user can change the input data word problems. Because jobs are designed to integer results, change the input data can lead to tasks that do not have a solution. Thereby, each user can test all the task results.For each example is explained algorithmic background and instructions on the creation of a similar example. All of these examples were tested the children from the second grade of elementary school. And from their mistakes and results, there are outlined and solved the problem sections at the end of examples.
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The issue of teaching sets of points with given properties at elementary school
HARAZIMOVÁ, Tereza
The aim of this diploma thesis is to describe various methods for examining loci of points of given properties. I have chosen both the classical approach and new technologies such as dynamic geometry software GeoGebra or a programme from CAS (Computer Algebra System). The topic loci of points of given properties is often very difficult for pupils to understand, therefore it is important to look at it from various points of view, to choose interesting application tasks and thus motivate learners in their studies. In this paper I present several suggestions for more attractive and amusing ways of teaching this issue at primary, secondary and university level of education.
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Representation of space objects in the solid geometry
KREPSOVÁ, Lenka
The thesis deals with the representation of objects in the solid geometry. The first part contains a summary of theorems and definitions which are needed for understanding problems of mutual position of lines and planes, cut of objects with a plane and intersection of the object with the line. The second part contains a collection of worksheets for students. It has been created a solution for each worksheet. This solution can be used in printed version or in electronic version which is created in the software GeoGebra. This thesis can be used in tuition or self-studying.
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The use of dynamic geometry software to determine conics and other curves around us.
TEN HAGEN, Libor
This bachelor thesis concerns conics and their occurrence in the world around us. The aim is to point out the connection between geometry and everyday live, between theory and practical use of conics. The first part deals with conics, their equations and constructions. Some pictures made in software GeoGebra are given as well. Second part deals with basic information of constructions of bridges and describes their properties. The third part contains photographs of conics. Most of photographs depict bridges, which are analyzed in the software GeoGebra. Every photographed object is shortly described.
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GeoGebra in geography teaching at lower-secondary school.
PÁTEK, Jaroslav
This diploma thesis is due to its theme within the reach of two scientific branches mathematics and geography. Particularly, it deals with possibilities of unusual application of dynamic geometry during lessons of geography in elementary schools. From the theoretical point of view, the thesis is grounded in the crucial document for czech schooling Framework Education Programme for Elementary Education. The theoretical part of the thesis is followed by practical part, whose content is influenced by analysis of Geography as an educational area, which can be found in this very document. The particular contents of the practical part consist applets describing selected geographic phenomenons and problems.
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Differential equations with GeoGebra
OPAVOVÁ, Michaela
The main aim of this bachelor thesis called Differential equations with GeoGebra is to create a transparent collection of solved examples. Examples are numerically solved first, followed by their graphic interpretation by using mathematical program GeoGebra. Illustrations show us interesting solutions of examples. Another objective is to introduce students the program GeoGebra as a tool through which you can elegantly solve the example. The work is divided into three chapters, which deal with the basic type of differential equations, the method of separation of variables and linear differential equations with constant coefficients and zero right side. They are shown of the basic theory and then resolved examples. In These chapters are selected types of examples which meets student in Mathematical Analysis III. Therefore, this collection is useful as a study material for students of mathematical disciplines.
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The use of dynamic software in teaching mathematics at the primary and secondary school
BUMBÁLEK, Roman
This thesis deals with the use of dynamic mathematical software in the teaching of mathematics in primary and secondary schools. The aim is to illustrate and explain clearly selected topics with dynamic graphs and structures created in GeoGebra. The work also contains instructions how to create graphs and construction. For each topic are worked examples which serve to better understand and practice the issue.
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Introduction into GeoGebra
NOVOTNÝ, Ondřej
The aim of this thesis on the subject of 'Introduction to GeoGebra' was to create several solved examples and instructional videos. At the beginning of the dissertation, particular environments of the program are introduced. They are followed by solved examples which cover most of the topics necessary for basic work with GeoGebra. Instructional videos deal with subjects that have not been given sufficient space to practical examples.
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Planar mechanisms
HOFFMAN, Jan
This work thesis is dealing with planar mechanisms. It?s concentrated on definition the topic, enumeration methods of mathematical description of mechanisms and occasion of simulation with usage information technology. It?s going mainly on GeoGebra program, in which were created most of schemes and models mechanisms. Created models are recorded on attached CD. Important charter of this theses are mechanisms used to draving planar curves, ending with mechanisms used to drawing straight line.
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