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Using online tools to assigns and assess the work of secondary school pupils in mathematics
Vančura, Jiří ; Robová, Jarmila (advisor)
Title: Using online tools to assigns and assess the work of secondary school pupils in mathematics Author: Jiří Vančura Department: Department of Mathematics Education Supervisor: doc. RNDr. Jarmila Robová, CSc., Department of Mathematics Education Abstract: Despite the long-term trend of technology implementation in mathematics education, there is not much research that would empirically and long-term monitor the impact of technology on pupils' knowledge. The presented three studies examine the potential benefits of using Khan Academy as a tool for assigning and assessing homework in mathematics at upper secondary schools. The studies deal with three groups of research questions. What is the attitude of pupils towards the Khan Academy implementation, and what benefit do they see in the online practice? Can pupils transfer acquired knowledge from Khan Academy to the school context? In addition to procedural knowledge, does Khan Academy develop a deeper understanding of the underlying concepts? At the time of the research, the author was the mathematics teacher of some of the participating pupils. Based on the results of these studies, the consequences and recommendations for teaching mathematics at upper secondary schools using online platforms are discussed at the end of the thesis. Keywords: Khan Academy,...
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Using online tools to assigns and assess the work of secondary school pupils in mathematics
Vančura, Jiří ; Robová, Jarmila (advisor)
Title: Using online tools to assigns and assess the work of secondary school pupils in mathematics Author: Jiří Vančura Department: Department of Mathematics Education Supervisor: doc. RNDr. Jarmila Robová, CSc., Department of Mathematics Education Abstract: Despite the long-term trend of technology implementation in mathematics education, there is not much research that would empirically and long-term monitor the impact of technology on pupils' knowledge. The presented three studies examine the potential benefits of using Khan Academy as a tool for assigning and assessing homework in mathematics at upper secondary schools. The studies deal with three groups of research questions. What is the attitude of pupils towards the Khan Academy implementation, and what benefit do they see in the online practice? Can pupils transfer acquired knowledge from Khan Academy to the school context? In addition to procedural knowledge, does Khan Academy develop a deeper understanding of the underlying concepts? At the time of the research, the author was the mathematics teacher of some of the participating pupils. Based on the results of these studies, the consequences and recommendations for teaching mathematics at upper secondary schools using online platforms are discussed at the end of the thesis. Keywords: Khan Academy,...
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Using online tools to assigns and assess the work of secondary school pupils in mathematics
Vančura, Jiří ; Robová, Jarmila (advisor) ; Koreňová, Lilla (referee) ; Hašek, Roman (referee)
Title: Using online tools to assigns and assess the work of secondary school pupils in mathematics Author: Jiří Vančura Department: Department of Mathematics Education Supervisor: doc. RNDr. Jarmila Robová, CSc., Department of Mathematics Education Abstract: Despite the long-term trend of technology implementation in mathematics education, there is not much research that would empirically and long-term monitor the impact of technology on pupils' knowledge. The presented three studies examine the potential benefits of using Khan Academy as a tool for assigning and assessing homework in mathematics at upper secondary schools. The studies deal with three groups of research questions. What is the attitude of pupils towards the Khan Academy implementation, and what benefit do they see in the online practice? Can pupils transfer acquired knowledge from Khan Academy to the school context? In addition to procedural knowledge, does Khan Academy develop a deeper understanding of the underlying concepts? At the time of the research, the author was the mathematics teacher of some of the participating pupils. Based on the results of these studies, the consequences and recommendations for teaching mathematics at upper secondary schools using online platforms are discussed at the end of the thesis. Keywords: Khan Academy,...
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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
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Financial mathematics for secondary schools with internet support
Tomandl, David ; Robová, Jarmila (advisor) ; Odvárko, Oldřich (referee)
The work deals with financial mathematics and its teaching in upper secondary school. This thesis contains introduction to finance, simple and compound in- terest, securities, bonds, loans and savings. The work is also presented in the form of web pages. The web pages are enhanced with interactive features such as applets in GeoGebra and step-by-step solutions for exercises. The web pages include a final test in which one can check his knowledge. The test contains ten randomly generated tasks which cover the curriculum of the thesis. The work is meant as an extending teaching materials for upper secondary school pupils. 1
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Binary relations and mappings in teaching of mathematics
Muzikářová, Zdena ; Robová, Jarmila (advisor) ; Hromadová, Jana (referee)
The diploma thesis presents a collection of solved problems in binary relations. Students are familiarized with various applications of binary relations on high school mathematics and geometry. The work focuses on graphical representation of binary relations and their use in solving equations, inequalities and their sys- tems. It is a teaching text designated for a mathematics seminar at high school. In addition to exercises, it also includes an introduction of new concepts which are supplemented by relevant definitions and illustrative examples. 1
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Web application for teaching of complex numbers
Kneblík, Radovan ; Robová, Jarmila (advisor) ; Staněk, Jakub (referee)
This thesis deals with 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 and also conversions between forms. The lecture is enhanced with interactive applets, which demonstrate given topic. Solved exercises, exercises leading to set of points satisfying a condition and an overall test are also parts of the thesis. Web page created within the thesis can be used by high school students as well as by teachers. 1
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Circumferences and areas of plane figures
Šrámek, Martin ; Robová, Jarmila (advisor) ; Šarounová, Alena (referee)
Title: Circumferences and areas of plane figures Author: Martin Šrámek Department: Department of Mathematics Education Supervisor: doc. RNDr. Jarmila Robová, CSc. Abstract: This diploma thesis Circumferences and areas of plane figures is designed for teachers and high school students. Teachers might find some interesting tasks including various metric problems from the field of synthetic geometry as well as inference of mathematic equations for calculation circumferences and areas of plane figures which are taught at elementary schools and high schools. Pupils can appreciate solved tasks and their knowledge can be applied to other similar tasks. The ninth chapter includes more difficult tasks. There are many drawings exported from GeoGebra which can help students to understand the task better. Keywords: circumference, area, length, teaching of mathematics
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Binary relations and their use in teaching of mathematics
Muzikářová, Zdena ; Robová, Jarmila (advisor) ; Odvárko, Oldřich (referee)
The bachelor thesis presents a collection of exercises where binary relations are used to solve equations, inequalities and their systems. It is a teaching text designated for a mathematics seminar at the high school. The collection is pri- marily intended for high school students, but it can also serve as a source of exercises for teachers. The work focuses on graphical representation of binary re- lations and their use in solving problems. The thesis also includes an introduction of new concepts which are supplemented by relevant definitions and illustrative examples. 1
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Analytical representation of congruent transformations at high schools
Ptáčková, Tereza ; Robová, Jarmila (advisor) ; Hromadová, Jana (referee)
This work deals with analytical representation of congruent transforma- tion in a plane at high schools. The work is a web page, it contains several interactive components which help student to understand the problem like hyperlinks, stepping of the construction, applets, etc. The work contains several solved problems. Main emphasis is placed on the connection of the synthetic and the analytic approach to congruent transformation. The work uses knowledge of analytic geometry students learn at high school. The web page is aimed at talented students of high school and for teaching at mathematical class. 1
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