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Flatland and student's perception of the fourth dimension
Bouchalová, Kateřina ; Zamboj, Michal (advisor) ; Kvasz, Ladislav (referee)
This diploma thesis deals with the connection between mathematics and literature, two disciplines that may seem distant from each other. The aim of this work is to analyze whether selected students are able to improve their perception of the fourth dimension with the help of the analogy introduced in an excerpt from Edwin Abbott Abbott's book called Flatland. This thesis begins by introducing firstly, the history of the fourth dimension and the way it is conceptualized, and secondly, the author and the book Flatland. The theoretical part continues by providing a description of the occurrence of analogy, literature, and the fourth dimension in the Framework Education Programme for Secondary General Education as well as other sources focused on teaching mathematics. Next, the theory of the general models introduced by Hejný is summarized, followed by the van Hiele model of geometric thinking. The theoretical part of the thesis ends with a description of our limitations regarding the representations of the fourth dimension. This first part of the work stands as the basis for the practical part of the thesis that introduces a quantitative case study which was realized in the following way. Two tests were given a week apart to the fifth-year students of a sixth-year grammar school. The aim was to...
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