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Anaglyphs and their application in teaching stereometry
Matěková, Radka ; Surynková, Petra (advisor) ; Šarounová, Alena (referee)
My bachelor thesis Anaglyphs and their application in teaching stereometry deals with anaglyphs and their creation. It gives information about linear perspective, which is necessary for the creation of anaglyphs. The terms of linear perspective are explained as well as the methods we can use in constructions of this projection. The thesis is mainly devoted to anaglyphs and their creation by the tools of descriptive geometry - central projection and especially linear perspective. Types of anaglyphs, drawing of anaglyphs and the possibility of constructing anaglyphs by software are mentioned. The third chapter deals with stereometry and it uses anaglyphs to support the spatial imagination. There are two versions of the third chapter - each one uses different types of anaglyphs to show the same problems of stereometry. 3D red cyan glasses are enclosed to the thesis as well as a CD containing both versions of the thesis and two files showing the creation of anaglyphs. The thesis is meant to be used by teachers and students in teaching and studying stereometry.
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Active vocabulary connected with the perception of
Skalová, Dana ; Kaslová, Michaela (advisor) ; Šarounová, Alena (referee)
The thesis deals with active vocabulary related to the perception of solid objects by 5-6- year-old children. The main objective of this thesis is to map which verbal expressions the children use when recognising, comparing and identifying solid objects, how they are able to cope with the deficit of the respective vocabulary, what details they notice most often in describing, identifying and comparing solid objects, or what is most easy for them and, by contrast, what they are not able to express in words. To meet this objective, an experiment method was applied. The experiment was conducted in two kindergartens according to the scenario prepared in advance, using a set of wooden solid objects, which the children were to identify, describe and compare. The contribution of the thesis consists in the fact that it addresses the topics related to pre- school age, which are not elaborated in more detail in the available literature.
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Surfaces Used in Architecture
Surynková, Petra ; Šarounová, Alena (advisor) ; Voráčová, Šárka (referee)
Nazev prace: Plochy stavcbni praxe Anfor: Pelra Surynkova Katedra (ustav): Katcdra didaktiky matematiky Yedouci diplomove prace: PhDr. Alena Sarounova, C'Sc. e-mail vcdouciho: Alena.Sarounovafajmff.cuni.cz Abstrakt: Bakalafska prace Plochy stavcbni praxe sc zabyva zakladnimi vlastnostmi ploch a jcjich vyuzitim v tcchnicke praxi. Specialne se venuje rozvinutelnym plocham. Prace je koncipovana jako ucebni text pro ucilele a studenty deskriptivni geometric a zajemcc o architekturu. Prace strucnc popisuje nektcre druhy ploch a ukazuje navrhy jejich vyuziti. Podrobnc pak studuje rozvinulelne plochy, jcjich vytvofcni, zakladni vlastnosti a uvadi i nekolik pfikladii rozvijeni rozvimitelnyeh ploch do roviny. Cast prace tcz pi'edklada inozna vyuziti ro/.vimitelnyeh ploch v praxi. K vctsine ploch jc pripojen take obrazek. K praci je pfidana obrazova pfiloha, ktera obsahuje fotografie staveb 7 eeleho svcta, na kteryeh sc /.minenc plochy vyskytuji. Soucasti bakalafske prace je rovnez pfilozcnc CD, na ncmz sc nachdzi dalsi obrazova pfiloha a bakalafska prace v clektronicke podobc. Kroine toho jsou na C'D zdrojove soubory vsech obrazku z bakalafske prace. Klicovci slova: plocha, rozvinutelna plocha, stfccha, klenba Title: Surfaces of Building Practice Author: Petra Surynkova Department: Department of Mathematics...
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Mathematical problems inspired by the nature
Králíková, Jana ; Odvárko, Oldřich (advisor) ; Šarounová, Alena (referee)
The diploma thesis consists of five exercises, which can be used within mathematical education at secondary schools. In these exercises students get involved with mathematical applications in ordinary life, which they can practically experience. A part of each exercise takes place outdoors, outside of the classroom. Objectives of the exercises are to display both mathematical and practical problems of the application. The topics of exercises are Tree height measuring, The measuring of unreachable distances, The altitude profile of a track, Cryptography and The Tower of Hanoi. I tried to make these exercises to solve real practical problems and to use the secondary school mathematics as much as possible at the same time. Students will use their knowledge in plane geometry, goniometry and trigonometry, functions and their graphs, sequences, series and proof by mathematical induction. Purposes of the exercises are to develop mathematical and logical thinking, to teach how to express the real situation in a mathematical way and to recognize mathematics in other fields of human activity.
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Secondary school polyhedrons with internet
Helm, Jan ; Hromadová, Jana (advisor) ; Šarounová, Alena (referee)
The thesis is destined mainly for high school teachers and students of descriptive geometry. Above all it deals with the intersection and the construction of pyramids and prisms in projections. Students can meet with these phenomena at high schools during lessons of descriptive geometry. The constructions of the intersections of figures are demonstrated on solved tasks. The tasks are processed in graphic programmes GeoGebra and Cabri 3D prospering from the following advantages and facilities of these programmes: a stepping of the construction, a contour accentuation or a secretion of auxiliary lines etc. Besides these solved tasks, there are also some unsolved tasks for practice at the ends of chapters. The introductory chapter contains definitions and characters of common polyhedrons and regular (Platonic) figures. The thesis consists of web sites, a printed version and an enclosed printed version in .pdf format.
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The Golden Section
Chmelíková, Vlasta ; Šarounová, Alena (advisor) ; Hromadová, Jana (referee)
This text has been written especially as an educational material for secondary school teachers of mathematics and despriptive geometry, however it can be interesting also for students of secondary schools and universities and for another persons interested in problems of the golden section. The thesis includes a calculation and properties of the golden number, several construction methods of the golden section, its occurence and use in plane and solid geometry, history of the golden section and its connections with art, architecture, nature, psychology, etc. In addition, there are added examples from older textbooks and proposals of the jobsheets for improvement of the mathematics lessons.
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Length measurement
Pecinová, Iva ; Šarounová, Alena (advisor) ; Surynková, Petra (referee)
My bachelor thesis Length measurement deals with the euclidean length measurement. It deals with the history of the length measurement in the Czech country, the emergence of the basic unit of length - meter and especially the circumference. The work is intended primarily for high school teachers of mathematics and lovers of measurements which are expected to at least high school knowledge of mathematics. This text is good for primary schools teachers of mathematics which is intended Handbook for small meter. The component part of my bachelor thesis is an enclosed CD, where is found the bachelor thesis in an electronic form and the already mentioned Handbook for small meter - a version for printing.
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The trisection problem
Švecová, Michaela ; Bečvář, Jindřich (advisor) ; Šarounová, Alena (referee)
Na/ev prace: Trisekce uhlu. zajimave pfibli/.ne melody Autor: Michacla Sveeova Katedra (uslav): Katedra didaktiky matematiky Vedouei bakalafske prace: doc. RNDr. Jindfieh Becvaf, CSc. e-mail vedoueiho: beevano^karlin.mff.cuni.c/ Abslrakt: Tato pracc se zabyva problemein trisekce uhlu, coz je jedna z klasickych uloh fecke malematiky. Krome duka/u, /e tato uloha neni eukleidovsky fesitelna, jsou zde uvedeny ru/ne metody, k nimT: matematici beliem rady staleti dosli. Jednak to jsou postupy ,,pfesne", ktcre nejakym /pusobem porusuji pravidla cukleidovskyeh konstrukci. dale pak ..nepfesne" poslupy provadcne pouze za pomoci pravitka a kruzitka. Zde je mira nepresnosti odhadnuta vypoelem odchylky od occkavane tfetiny iihlu pro nektere specialni velikosti uhlu. Dale sc prace zabyva ruznymi nastroji - trisektory - pomocf nich/ l/e uhcl tfctinovc velikostijednoduse najit. Klicova slova: trisekce uhlu. eukleidovske konstrukcc, recka matematika Title: The Triseclion Problem Author: Michaela Sveeova Deparment: Department of Mathematics IZducation Supervisor: doc. RIM Dr. Jindfieh Becvar, CSc. Supervisor's e-mail adrcss: becvar(^karlin.mff.cuni.cx Abstract: This work deals with the problem of the angle triscclion which is one of the classical tasks of the Greek mathematics. Besides proving that this problem has no...
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Geometry of shadows
Tolkunova, Yulianna ; Surynková, Petra (advisor) ; Šarounová, Alena (referee)
Title: Geometry of shadows Author: Yulianna Tolkunova Department: Department of Mathematics Education Supervisor: RNDr. Petra Surynková, Ph.D. Abstract: The present thesis deals with geometric lighting and methods of its construction. In particular, it is directed at parallel lighting. The work includes a theoretical part, in which you can learn about the properties and basic concepts related to geometric lighting. Afterwards, there is a practical part, which contains a set of examples with their solutions and then unsolved examples for independent practice. The project is filled up with a number of pictures to enhance the reader's imagination about the principles and methods of lighting. In my work I emphasized intelligibility and usability of the methods listed there. In general, thesis Geometry of shadows is devoted to everybody who wants to learn more about the geometry of shadows. The work could be a useful study material for students and teachers of descriptive geometry.
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