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Project "Class symbol" and a square grid
Olšovská, Petra ; Kaslová, Michaela (advisor) ; Bomerová, Eva (referee)
The thesis is based on the constructivistic approach to mathematics at primary school and geometry topics situated in the environment of square grid. It researches the extent to which pupils are able to use the experience with the square grid in the project method. For this purpose, observed two groups of pupils aged 10-11 years, experimental and control group. Work with the experimental group was situated in two weeks.
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Problems from environment Parquet for children entering the first grade of primary school
Šmídová, Kateřina ; Slezáková, Jana (advisor) ; Jirotková, Darina (referee)
The aim of the submitted diploma thesis is to complete a series of graded tasks from the manipulative environment of Parquet. Then apply these tasks to preschool and school children in the 1st year of elementary school. Not only observe how they cope with these activities, but also how they think, explain their actions, and how they communicate with each other. Observe myself, as a researcher, how do I work with children, how do I communicate with them and how do I submit them the tasks. Record my knowledge and learn from it. The theoretical part defines the individual stages for the preschool and pupils in terms of the development of psychology, they are constructive concepts of teaching mathematics with reference to the RVP ZV and RVP PV. Studied textbooks for the 1st and 2nd year of elementary school searched for activities from the environment of Parquet. Activities are selected that illustrate the typology of tasks. The relevant didactic games related to the Parquet environment are also described. For the practical part is chosen method of qualitative research on the basis of experiments in two research groups. The experiments are composed of individual activities, which are graded from the very basic creation of the parquet, specifying the rules of laying them down on the floor, to the final...
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Advanced Topics in Plane Geometry
Hajmová, Kateřina ; Štěpánová, Martina (advisor) ; Moravcová, Vlasta (referee)
The aim of this thesis is to introduce a series of knowledge from advanced planimetry, which can be proved using the knowledge of high school geometry. Selected theorems deal with characteristic of squares with a common vertex (Finsler-Hadwiger theorem, Theorem of Four Squares, Bottema's theorem), significant points of plane entities (Gergonne point theorem, Švrček point theorem, Simson's Theorem, Miquel's theorem), Feuerbach's circle and its relation to the Euler's line. In this thesis, there is also mentioned Reim's theorem, Napoleon's theorem, and Thebault's theorem. This thesis contains a lot of illustrations created in the Geogebra Mathematical Software, which are available online in interactive form.
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Project "Class symbol" and a square grid
Olšovská, Petra ; Kaslová, Michaela (advisor) ; Bomerová, Eva (referee)
The thesis is based on the constructivistic approach to mathematics at primary school and geometry topics situated in the environment of square grid. It researches the extent to which pupils are able to use the experience with the square grid in the project method. For this purpose, observed two groups of pupils aged 10-11 years, experimental and control group. Work with the experimental group was situated in two weeks.
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