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Constructivist teaching of percentage in two classes with a different background in teaching mathematics
Pechmanová, Kateřina ; Vondrová, Naďa (advisor) ; Kvasz, Ladislav (referee)
The content of the thesis consists of a description of constructivist teaching of the topic of percentage in the primary school, that is the teaching in which not the teacher, but the pupil is in the center. The principles of constructivist teaching and the learning process in terms of the theory of generic models are described on the basis of literature. In accordance with these principles, a number of textbooks have been analyzed, in which the the topic of percentage is introduced, and experimental teaching based on the above principles has been prepared. Experimental teaching was realized in two classes of the 7th grade with a different experience with the teaching of mathematics in their 6th grade. The main goal of the work was to prepare, implement, describe and evaluate the teaching of percentage based on pupils' activity and their individual discovery. The lessons have been described and evaluated on the basis of audio recordings, notes from the lessons, records of pupilss solutions, interviews, notes and interviews with a teacher assistant, pre-tests and post-tests. The lessons were analyzed mainly in terms of pupils' involvement in teaching, their discoveries and knowledge acquisition, including its anchoring in the knowledge structure. In both classes, part of the pupils managed to find a...
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Unit root testing with applications to financial time series
Pechmanová, Kateřina ; Zichová, Jitka (advisor) ; Hendrych, Radek (referee)
This work deals with linear ARMA processes, which are intended to describe the behavior of time series, and also with analysis of selected time series. First, the basic concepts are introduced together with the descriptions of the ARMA models. Further, the Dickey-Fuller test for a unit root, as an approach to the verification of nonstationary time series, is introduced. An important part is the practical application of these models and tests on simulated and real data. Real analyzed data capture developments in the exchange rate of Czech crown against Euro. All calculations were performed in the Mathematica software. Powered by TCPDF (www.tcpdf.org)
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