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Equation editor for Android
Marek, Jiří ; Kučera, Petr (advisor) ; Jančík, Pavel (referee)
Title: Equation editor for Android Author: Jiří Marek Department: Department of Theoretical Computer Science and Mathematical Logic Supervisor: RNDr. Petr Kučera, Ph.D. Abstract: The goal of this project is to implement an application for the mobile operating system Android, which allows user to interactively create mathematical expressions and typeset them in LATEX. The application is also capable of saving and sharing its output in various file formats. The application contains a general editor and compiler of LaTeX documents. It is possible to use the equation editor to create a formula, place it into a full LaTeX document and to edit it later in the equation editor again. The application is designed in such a way that even a user, who doesn't know LATEX, is capable of creating complex mathematical expressions. It is also possible to seamlessly switch between an interactive type of input and direct editing of a LATEX code. Keywords: Equation, Editor, LaTeX, Android
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Real-life problems solved by quadratic equations
Hanzal, Petr ; Zhouf, Jaroslav (advisor) ; Pilous, Derek (referee)
This thesis contains a set of real-life problems solved using quadratic equations. The aim is to gather avaiable practical problems, with which students of all ages can meet at school or in everyday life and create additional model problems that could be used in teaching or mathematical competitions. Part of this work are pictures for a better understanding of some tasks. Images were created in Geogebra.
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Elementary mathematics from an advanced standpoint
Kučera, Jiří ; Bečvář, Jindřich (advisor) ; Staněk, Jakub (referee)
Mine thesis is written for self-study of secondary school graduates students which prepare for the mathematically oriented high schools. It clarifies theoretical approach to mathematics. It was chosen topics exponents, square roots, logarithms and equations that contain these objects for this purpose. For this reason students are given the opportunity to gain stance to university mathematics knowledge that should be known from high school. In addition, his work allows him to enlarge knowledge of those topics and learn heavier and unusual examples.
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Development of equation understanding at primary school
Koudelková, Věra ; Jirotková, Darina (advisor) ; Hejný, Milan (referee)
This master thesis concerns progress of junior school pupils in understanding of equations. It describes benchmark problems and mathematical environments in which equations and equation systems occur. Occurrences of such exercises in text books for primary schools are also mapped here. The main part of this thesis is focused on comprehension of pupils' intellectual actions during solving the equations. Thanks to several experiments, it includes description of pupils' solutions of exercises. The result of the phenomenal analysis of pupils' solving processes is an overview of phenomena, which appeared during solving exercises.
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Self-study support multimedia materials for basic school mathematics
BRADÁČOVÁ, Hana
The main focus of my thesis piece of work is the creation of multimedia tools for pupils´ self-study Math. This tool is an interactive software, specifically it is a Web page that work without connecting to the internet. Especially it is useful for children's home preparation and practising of pupils' knowledge. It can be used during lessons at school too. The main topic of this thesis is solution of equations. A part of the thesis is practical verification of primary school pupils. Their results are compared with the results of pupils who haven´t practised Math on this practical CD.
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The Problem of Equality and Efficiency in the Implementation of Government Programmes
Hybner, David ; Musil, Martin (advisor) ; Krbová, Jana (referee)
The aim of my thesis "Question of fairness and effectiveness in the implementation of government programs" is to clarify the terms connected with this topic. The first, theoretical part explains the meaning of terms such as government spending, effectiveness and factors relating to effectiveness. It also pays attention to general economical terms e.g. Pareto effectiveness, externalities etc. The second, practical section focuses on a university tuition fees problem. I will present current models and expectations, and more importantly introduce my vision, which, if implemented, would change the education system. I will also include proposals and their possible development in the future.
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