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Algebraisation in problems with a geometric context - pupils' difficulties and mistakes
 Benešová, Štěpánka ; Vondrová, Naďa (advisor) ; Jančařík, Antonín (referee)
The aim of this thesis are problems in which pupils demonstrate the ability to switch between geometric and algebraic representation. The task of the thesis is to correctly identify the difficulties and mistakes of pupils in the algebraisation of problems with geometric context before the teaching of algebra and after the teaching of algebra. The thesis consists of theoretical and experimental parts. The theoretical part defines the necessary concepts, summarizes selected results of research and studies related to the algebraisation of problems with geometric context and contains an analysis of five selected textbooks for the eighth year of elementary school, which are used by pupils participating in the research. The analysis of textbooks is focused on chapters dealing with the topics of Algebraic expressions with variables and Powers. The experimental part focuses on research identifying difficulties and mistakes of pupils in solving problems in which pupils try to algebraically model geometric relations. The basis of the research was two sets of test problems followed by an individual conversation with the pupils. The first set of problems was made for sixth-graders, seventh-graders and eight- graders. The second set of problems was made for ninth-graders. The tests were used in two primary...
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