|
|
The use of GeoGebra in mathematics teaching
NOVOTNÝ, Ondřej
This diploma thesis called The use of GeoGebra programme in mathematics teaching deals with possibilities to share and use materials made in GeoGebra programme. The introduction focus on general using of digital technology in lessons. The next chapter concretizes the dynamic software and the GeoGebra programme. The major part is devoted to forming GeoGebraBook online, its possibilities and their practical examples. The online publication GeoGebra in mathematics with concrete materials is a part of this thesis. The conclusion evaluates the experience acquired from running the GeoGebraBook and Facebook.
|
|
|
Algebraic Curves in History and School
Fabián, Tomáš ; Kvasz, Ladislav (advisor) ; Jančařík, Antonín (referee)
TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra
|
|
|
Algebraic curves in history and school
Fabián, Tomáš ; Kvasz, Ladislav (advisor) ; Vondrová, Naďa (referee)
TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra
|
|
|
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
|
|
|
Financial literacy in teaching mathematics at secondary school
Antoniewiczová, Petronella ; Robová, Jarmila (advisor) ; Odvárko, Oldřich (referee)
This thesis aims to serve as a tool for teaching financial mathematics in Mathematics lessons at higher grades of primary schools and mainly in secondary schools. The first part contains an analysis of school documents, results of survey aimed at financial literacy and available textbooks. The second part presents the supporting teaching tools in the form of applets created using the GeoGebra programme. Applets are aimed at money exchanging, interests types, loans, savings and a household budget creating. Each applet is presented by being used in a specific exercise. Powered by TCPDF (www.tcpdf.org)
|
|
|
GeoGebra as a tool for solving problems with parameters
Kudělková, Anna ; Novotná, Jarmila (advisor) ; Jančařík, Antonín (referee)
Teachers of mathematics can use modern technology to improve lessons and make them more interesting. The present work focuses on the usage of GeoGebra as a graphical solution for selected parametric problems. Data for this work was collected from mathematics textbooks, and internet sources, among others, were used as an inspiration. The work briefly describes GeoGebra software, its features, history and also the community that uses it. The main purpose of the work is to use GeoGebra to solve problems from the domain of geometric constructions and analytic geometry in such a way that shows the main advantages in comparison with the classical solution. In the present work, five mathematical problems are thoroughly analyzed and, for each problem, a set of illustrative examples solved in GeoGebra is provided. KEYWORDS: GeoGebra, parametric problems, graphical solutions
|
|
|
Exercises and problems in linear algebra ane geometry
JELÍNEK, Jan
The aim of this bachelor thesis is to compile a collection of problems from linear algebra and geometry. The collection is intended to be used as a teaching tool at the high school and university. Some tasks are resolved in the collection. Sample images created in a suitable dynamical geometry program (GeoGebra) are used when entering and describing the solution.
|
|
|
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.
|
|
| |
|
|
Interactive textbook of descriptive geometry
Krsová, Michaela ; Dvořák, Petr (advisor) ; Zhouf, Jaroslav (referee)
An aim of this diploma thesis is to create interactive descriptive geometry coursebook. As a basis for coursebook creation was used "Present State of Descriptive Geometry Education on High Schools Survey" which was proceeded via questionnaire. Before the creation of coursebook itself were made analyses of accessible textbooks, geometric softwares in use and possible environments for coursebook content presentation. A result is integrated part of subject matter taught on high schools complemented by solved examples and interactive applets created in software GeoGebra. The coursebook content is presented in a form of HTML sites on a public website http://www.sadsam.cz/dg/ and also as an off- line version on DVD disc enclosed.
|
guest ::
