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Implementation of Challenging Tasks in Mathematics Education
Růžičková, Lucie ; Kopáčková, Alena (advisor) ; Harminc, Matúš (referee) ; Tichá, Marie (referee)
Title: Implementation of Challenging Tasks in Mathematics Education Author: PhDr. Lucie Růžičková Department: Department of Mathematics and Mathematics Education Supervisor: RNDr. Alena Kopáčková, Ph.D. ABSTRACT The thesis deals with practical implementation of challenging tasks in mathematics education. The methodology for examining "the fidelity of implementation of mathematical tasks" is being designed to describe whether the task is used according to the original intention of the teacher or according to the intention of its author. This methodology is employed in the analysis of four experiments to examine mathematical tasks and task environments. Then, based on the experience with the analysis, the methodology is adapted to the needs of both the teaching practice and educational research. The main result of the thesis is the creation of the methodology for examining the fidelity of implementation of mathematical tasks which is based on contrasting the descriptions of four general elements of the mathematical task at different phases of its implementation. KEY WORDS: mathematics education, mathematical task, challenging task, implementation of tasks
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Implementation of Challenging Tasks in Mathematics Education
Růžičková, Lucie ; Kopáčková, Alena (advisor) ; Harminc, Matúš (referee) ; Tichá, Marie (referee)
Title: Implementation of Challenging Tasks in Mathematics Education Author: PhDr. Lucie Růžičková Department: Department of Mathematics and Mathematics Education Supervisor: RNDr. Alena Kopáčková, Ph.D. ABSTRACT The thesis deals with practical implementation of challenging tasks in mathematics education. The methodology for examining "the fidelity of implementation of mathematical tasks" is being designed to describe whether the task is used according to the original intention of the teacher or according to the intention of its author. This methodology is employed in the analysis of four experiments to examine mathematical tasks and task environments. Then, based on the experience with the analysis, the methodology is adapted to the needs of both the teaching practice and educational research. The main result of the thesis is the creation of the methodology for examining the fidelity of implementation of mathematical tasks which is based on contrasting the descriptions of four general elements of the mathematical task at different phases of its implementation. KEY WORDS: mathematics education, mathematical task, challenging task, implementation of tasks
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Time of landscape
KOPÁČKOVÁ, Alena
This diploma work is virtually focused on the landscape-painting. The presented painting cycle reflects the temporal variations of landscape. It provides a transcription of emotional experiences and feelings arising from an intimate communication with a certain landscape spot. The changes in time are demonstrated via a repeating motif, which enables to follow the colour variability of the nature and the surrounding atmosphere. Photos attached to the work display the landscape variations in the durations of two years. The regular observations of two tree motives result in a cycle of nine paintings, which can be further divided into three series. The theoretical part of the diploma work clarifies its principal idea. It explains motivations, inspiration resources and circumstances leading to the completing the painting cycle. The attention is also paid to the landscape-painting as a genre art and selected artists, those creations were inspired by the close touch of the nature.
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