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Use of sport contexts in statistical problems for upper secondary schools
Koštejnová, Kateřina ; Novotná, Jarmila (advisor) ; Jančařík, Antonín (referee)
This thesis explores the use of sports-related themes in secondary school level sta- tistical problems and exercises. It summarizes basic statistical terminology appropriate for various education levels. The core then consists of a set of original statistical sports- themed problems and their solutions. These problems are split into three chapters based on the theoretical foundation they require. The first chapter deals with location parame- ters as well as reading from graphs and their construction, and it utilizes tables in the problems' formulation. The next chapter then focuses on the properties of dispersion, and the last one introduces correlation. The problems presented in the first chapter make use of football themes, the ones from the second chapter are ice-hockey based, and lastly, the problems from the third chapter mix themes from various sports. Each presented exercise is preceded with a list of definition necessary for finding the solution. The thesis also includes questions, whose solutions require university level Mathematics. These are augmented with the necessary theoretical foundation as well but it assumes knowledge of integral calculus. This problem collection may be used by secondary school Mathematics educators. The last section demonstrates use of statistics, particularly hypothesis...
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Solved Problems in Theoretical Mechanics
Roskot, Michal ; Koupilová, Zdeňka (advisor) ; Snětinová, Marie (referee)
The object of the bachelor's thesis was the creation of tasks for "Collection of Solved Problems in Physics". I have created 20 structured tasks on the subject of theoretical mechanics. These are mostly on a university level. I have successfully filled the chapters "The Principle of virtual work" and "Hamiltonian mechanics", which are included in the subject of theoretical mechanics. In order to create the bachelor's thesis it was necessary to get familiar with the web interface of the "Collection". At the same time to create pictures I had to learn to work with a graphical editor. In the text of the bachelor's thesis I characterize the technical solution of "Collection of Solved Problems in Physics", describe advantages of the used structure of the solved tasks and I briefly summarize content of the individual tasks.
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Solved Problems in Optics for Electronic Collection
Homolová, Lenka ; Koupilová, Zdeňka (advisor) ; Snětinová, Marie (referee)
These Bachelor thesis aim to extend Collection of Solved Problems in Physics by adding tasks to chapter wave optics and widening newly opened chapter named Optics. This collection is created at the Department of Physics Education. Twenty two tasks were prepared within this thesis and they are included in individual subsections of Wave optics chapter. Each task includes a structured solution and most of them newly drawn pictures. There is a brief description of the collection and characterization of all prepared tasks in the text of the thesis. Four tasks including their structured solution are shown in supplement. All tasks can be found on enclosed CD or on the website of Collection of Solved Problems in Physics http://fyzikalniulohy.cz/.
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Solved Problems in Electromagnetism for Electronic Collection
Pošta, Petr ; Koupilová, Zdeňka (advisor) ; Ledvinka, Tomáš (referee)
This thesis is a follow-up to several bachelor and diploma theses which were dedicated to creating solved problems for Electronic Collection of Solved Problems in Electromagnetism. The first goal of this thesis was to make a short survey about electronic resources in electromagnetism, especially those which contain solved problems and provide open access to their contents. The second goal was to make a small collection of solved problems in this area which would be suitable for undergraduate students and which would fill in chapters with little amount of problems in the Electronic Collection. This Electronic Collection is openly accesible on the website of Department of Physics Education. Total of 30 solved problems have been made in this thesis, including hints, detailed solutions and suitable pictures. Methodical comments are also available for almost all problems.
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The use of invariants of geometric transformations to solving problems
Doubrava, Jiří ; Zamboj, Michal (advisor) ; Beran, Filip (referee)
This thesis deals with the division of bijective collinear geometric mappings. It deals with a corresponding view on its respective problems and their solutions. The main part of the thesis is a collection of solved problems in the field of plane geometry, which are divided into several groups. The thesis can be used by both mathematics teachers and students at the secondary schools. The thesis is divided into two parts; the first part is theoretical and it contains a brief introduction to the basic concepts concerning invariants of geometric transformations and a description of the structure of geometry according to Felix Klein including his Erlangen program; the second part contains the actual assignments and so- lutions of the problems. The solutions of some of the problems are supplemented by im- ages created in GeoGebra software for better illustration. The images play an important role even in the theoretical part, where they can help improve understanding of some of the more complex concepts. Some of the problems were created by the author, other prob- lems are taken from sources listed in the list of bibliography. KEYWORDS geometric transformations, groups, Erlangen program, invariant, solved problems
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Application problems in geometry
Dočekalová, Zuzana ; Hromadová, Jana (advisor) ; Surynková, Petra (referee)
This work deals with application problems regarding to geometry issues. A deep search has been performed throughout existing excercise books from various periods and of various difficulties. Then, 10 new application problems have been devised and solved, concerning miscellaneous mathematics education stages and geometry branches.
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Problems and experiments in molecular physics and thermodynamics for electronic collections of solved problems and experiments
Fürstová, Tereza ; Mandíková, Dana (advisor) ; Drozd, Zdeněk (referee)
This work is a part of larger project which aims to create electronic collection of solved problems and collection of experiments in physics. Within the frame of this work there were created nine problems with detailed walkthrough and seven structured physics experiments in molecular physics and thermodynamics. Physics problems should help students to understand this subject. The structured experiments should help teachers to demonstrate experiments in their physics lessons. In the next part of the work there is mentioned a survey of curriculum in primary and secondary schools and syllabus for students of Department of Physics Education at MFF UK. This work also includes a characteristics of electronic collection of solved problems and collection of experiments in physics. All created problems and experiments are in electronic form on added DVD.
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Solved problems in electromagnetism for electronic collection of problems
Broža, Ondřej ; Koupilová, Zdeňka (advisor) ; Snětinová, Marie (referee)
The aim of this bachelor thesis is to create solution to physical problems in the field of electricity and magnetism for electronic collection. Within this thesis 15 problems were prepared. Problems are contained in the subchapters of electrostatics, DC electric current, stationary magnetic field and non-stationary magnetic field on the base of their contents. For every of these tasks was created structured solution. The thesis is also about the technical background of The Electronic collection. There is a characterization of all prepared tasks in the text of the thesis. In supplement there is shown structured solution of selected tasks. All tasks can be found on the website http://reseneulohy.cz or on attached CD.
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Solved Problems in Optics
Jungová, Michaela ; Snětinová, Marie (advisor) ; Houfková, Jitka (referee)
Title: Solved Problems in Optics Author: Michaela Jungová Department: Department of Physics Education Supervisor: RNDr. Marie Snětinová, Ph.D., Department of Physics Education Abstract: Twenty problems in optics were created for electronic collection of solved problems in physics in my thesis. These problems contain detailed structured solutions with solved hints and pictures as well. You can find the problems in the chapter "Geometrical optics" on the website: http://reseneulohy.cz and on the enclosed CD. One of the chapters in my thesis deals with description of the problems. The thesis also engages in thesis engages in the way how to classify the problems using different standards. A proposal of a problem classification, that has been used in during study of both elementary and high school physics textbooks and collections, is presented in the thesis. The goals of this classification were two: to get the picture of school curriculum connected to optical problems and to propose suitable structure of the chapter Optics in the electronic collection, which is in the aboved mentioned electronic collection. Keywords: solved problems, classification of physics problems, electronic collection, optics
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