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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Development of understanding the area of rectangle and triangle
 Hájková, Adéla ; Vondrová, Naďa (advisor) ; Zamboj, Michal (referee)
This thesis focuses on developing an understanding of the concept of the area of a rectangle and a triangle in the form of a pedagogical experiment for sixth-grade primary school pupils. Before the experiment, a diagnostic test was conducted to reveal the mechanical knowledge of the students. The tasks in the test were based on the same typology of exercises that can be found in regular student's books and exercise books used for Mathematics teaching and one of the exercises worked with the notion of a square grid. The exercises used within the actual teaching were transformed in order to match the current situation in the classroom. The experiment was subdivided into two parts that followed each other - understanding the notion of a rectangle and understanding the notion of a triangle. The pedagogical experiment was conceived according to the conceptual process of measure in geometry and a hypothetical learning trajectory. The experiment aimed to reeducate the pupils' possible mechanical knowledge, to lead the pupils to a conceptual understanding of the area of rectangles and triangles. At the end of the experiment, a test was again administered to check whether understanding had occurred and whether mechanical knowledge had been removed. The final test shared the same typology of exercises as the...
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Conceptions of area and volume of pupils at the elementary school
 Tůmová, Veronika ; Vondrová, Naďa (advisor) ; Coufalová, Jana (referee) ; Kubáček, Zbyněk (referee)
Conceptions of area and volume of pupils at the elementary school Veronika Tůmová ABSTRACT: The aim of my thesis is to investigate how the conceptions of area and volume are built, what the major pitfalls and problems are, what skills and strategies are helpful for solving problems and what are the frequent unsuccessful strategies and pupils' misconceptions. I used the concept of the hypothetical learning trajectory as a tool to describe this process. Based on existing research review, I compiled two hypothetical learning trajectories - one for area and one for volume. The crucial building blocks that were identified based on these trajectories are: space abilities, structuration of space into arrays of units and multiplicative thinking. A test was designed to measure these factors and the correlation of these factors with success in volume and area problems ranged from week (multiplicative thinking) to very strong (spatial abilities). These findings confirm that these factors constitute an important part of the hypothetical learning trajectory for both concepts. Several structuration tasks were selected to investigate pupils' structuration skills and mistakes in more detail. Three main categories of problems were identified in the pupils' solutions: incorrect space structuration, disconnection between...
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