|
|
Economic Curves
Hrubešová, Gabriela ; Doupovec, Miroslav (referee) ; Kureš, Miroslav (advisor)
The topic of this bachelor's thesis is to study some economic curves, a description of their attributes and a determining the mathematical expression. In the first part, it is explained the issues of general plane curves. Next part focuses on the characteristics of the most important economic curves and their use. The mathematical properties of the individual curves are described below. The last part is a software implementation in the program Wolfram Mathematica.
|
|
|
The use of GeoGebra by solving problems in geometry
BUZEK, Štěpán
This diploma thesis is focused on new funkcionalities of dynamic geometry systems and computer algebra systems. In first part of the diploma thesis I research new functions of dynamic geometry systems. Second part is focused on examples which are possible to solve by usage of said methods. Especially it is focused on automatic discovery of locus. Main focus is on finding of equations of locuses. In last example is compared principle of automatic discovery with automatic proving.
|
|
|
Non-standard application tasks and problems
PRŮDKOVÁ, Kamila
The bachelor thesis deals with non-standard application tasks and problems in mathematics. The aim was to create a collection of tasks with their sample solution using the computer program GeoGebra for interactive geometry, algebra, and analysis. In addition to the content of tasks and their sample solution in text form, the result of this work is an online output in the form of a GeoGebra book. The above-mentioned multiplatform dynamic software GeoGebra can be recommended for teaching, visualization, solution, and analysis of tasks in mathematics.
|
|
|
Worksheets for teaching mathematics at secondary school from selected topics
ONDRÁČKOVÁ, Kamila
The main aim of the thesis is to verify the pupils knowledge in arithmetic on the basis of worksheets at lower-secondary schools and selected grammar schools. The theoretical part of the thesis is focused on the knowledge that each pupil should already know. The practical part contains 4 working sheets intended for pupils of the sixth, seventh, eighth and ninth grades of lower-secondary school and for the pupils of equal corresponding grade of grammar schools. The results with detailed solution of the work sheets is listed in the appendix of the thesis. The practical part includes is the results of the research which show the pupils´ differences of knowledge of the selected schools.
|
|
|
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.
|
|
|
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.
|
|
|
File of educational materials to support the teaching of mathematics
Hanzal, Petr ; Battistová, Eva (advisor) ; Štípek, Jiří (referee)
The aim of this bachelor thesis is to suggest and create the collection of solved exercises from mathematic on a theme quadratic, absolute-value equations and equations involving square roots. It is intended for the students of the fifth grade of the eight-year grammar school and for the students of the first grade of the four-year grammar school or secondary school. Thanks to the solved exercises it is possible for students to get to know the methods for solving given types of quadratics more deeply.
|
|
|
Use of music education in mathematics lessons at the 1st stage of elementary school or Let's sing, Mr. teacheronnection between mathematics and music in primary school
Jánošková, Zuzana ; Jirotková, Darina (advisor) ; Havlíčková, Radka (referee)
The work deals with the possibility of interconnecting the teaching of mathematics with music. The theoretical part focuses on the relationship between mathematics and music, student motivation, the theory of multiple intelligence and also on whether music can contribute to the development of mathematical thinking. The practical part delivers five lesson preparations, where the main topic is music education and several other ways to use music education in another mathematical topic. KEYWORDS Music in mathematics, rhythm in mathematics, musical instruments in mathematics, motivation, word problems, equations, intersubject relations, Gardner's theory of multiple intelligence.
|
|
|
Web application for teaching algebraic equations in complex numbers
Kneblík, Radovan ; Robová, Jarmila (advisor) ; Staněk, Jakub (referee)
This thesis deals with algebraic equations in the field of complex numbers and teaching of them in high school mathematics. The thesis is a web page, it includes the definition of complex numbers in various forms (form of ordered pair, algebraic, polar and exponential form) and operations with them, as well as conversions between forms. The main part of the thesis includes solving of linear, quadratic, binomial, trinomial, reciprocal and cubic equations in the field of complex numbers. The lecture is enhanced with interactive applets demonstrating given topic. The thesis also includes solved exercises, as well as exercises leading to sets of points satisfying a condition and two overall tests. Web page created within the thesis can be used by high school pupils and teachers. 1
|
|
| |
guest ::
