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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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Linear Algebra at Business Universities and High Schools
Ulrychová, Eva ; Málek, Josef (advisor) ; Tůma, Jiří (referee) ; Hájková, Vladimíra (referee)
The thesis consists of two equal parts - of a part dealing with didactic aspects of teaching linear algebra, and of an unconventionally approached textbook Fundamentals of Linear Algebra, which is appended as a separate attachment. The didactic part deals with teaching mathematics, especially linear algebra, at the University of Economics in Prague, namely from the historical and methodological point of view. The thesis also includes a detailed evaluation of students' knowledge tests. The conclusions are largely portable to other non- technically oriented universities. The textbook is designed with respect to two levels of difficulty; it is written in the form accessible for students with lighter assumptions for the study of mathematics. The textbook is designed especially for students of universities where mathematics is not the main focus; it may also serve to interested high schools students as an introduction to a more advanced study of linear algebra.
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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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Graphing calculator in the mathematics education
TUPÝ, Petr
This diploma thesis discusses the work with the graphing calculator TI- 92 Plus, its advantages and disadvantages for use in mathematics education. The aim of the thesis is to determine whether this tool will facilitate the work of students in solving problems, and if its contribution is so minimal, that is not worthy including work with him, which of course requires some knowledge of students in the teaching of mathematics. For this apparent effort is the aim to find the type of tasks, which is working with the graphing calculator faster, easier and above all better understand. One of the aims is also to introduce the reader into the connection of the graphing calculator to the PC, by which the owner obtains a wealth of other functions associated with an interactive environment that this creates - such as the ability to capture screen of the calculator, install other applications into memory of the calculator, backup and restore data, etc.
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