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How secondary school pupils solve metric problems in 3D geometry
Jankovcová, Anna ; Vondrová, Naďa (advisor) ; Janda, David (referee)
The aim of this thesis is to gain a deeper understanding of how high school students solve tasks in three-dimensional metric space. All of the selected tasks are solvable using similarity. Since this is not the only way to solve these problems, I also observe the procedures and strategies that students employ whilst solving them. The thesis is divided into a theoretical and a practical part. In the theoretical part I define the basic terms and deal with difficulties which might occur while solving the selected problems. I also describe the expected outcomes of stereometry teaching in curricular documents. In the practical part, I firstly analyse the way certain metric problems are solved in high school textbooks. Then I describe how I did my research, in which 12 students participated. As my method for conducting the research I chose to interview the students about their solutions to the selected tasks in order to obtain enough information about the challenges that the students have in solving these problems and to observe the strategies they use. In the closing section of this thesis, I summarize the procedures which high school students use to solve metric problems, as well as the difficulties that some students had. My research has shown that students use various techniques to solve metric...
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