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Ways of Teaching Combinatorics at the Secondary School and their Influence on Pupils' Solving Strategies
Strnadová, Pavlína ; Vondrová, Naďa (advisor) ; Kvasz, Ladislav (referee)
The diploma thesis deals with ways of teaching combinatorics at a secondary school. Specifically, I analyzed selected mathematics textbooks for secondary schools in terms of introducing concepts and operations of combinatorics and in terms of types of tasks used. I carried out interviews with six secondary school mathematics teachers and observations of their lessons in order to describe their method of teaching combinatorics. Using results of tests written by these teachers' pupils, I examined whether and how their solving strategies and errors might be influenced by their teachers' approach to teaching combinatorics. Finally, I compared my results with the existing results of mathematics education research on pupils' combinatorial reasoning. The work is divided into four chapters; the first three are theoretical (curricular documents for selected schools, analysis of textbooks on combinatorics in terms of the implementation of combinatorial concepts and operations, selected research about pupils' solving strategies and errors for combinatorial problems, methods of checking the correctness of their solutions. and the impact of ways of teaching combinatorics on pupils' performance). Chapter 4 focuses on my own research which consists of interviews with teachers, observations of lessons on combinatorics, the...
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Formal and informal knowledge of logarithms in secondary school students
Mixa, Lukáš ; Pilous, Derek (advisor) ; Kvasz, Ladislav (referee)
This thesis is focused on the utilization of simplified functional equations in logarithm exercise. The goal of this work is to assess the degree of formalism in the logarithm knowledge of high school students. The first part attends to the origin and development on the term logarithm and logarithmic tables. These findings are subsequently put into the context of present day logarithm teaching extracted from contemporary high school textbooks. The second part describes an experiment which was conducted for the purpose of this thesis. The final part contains the results of the thesis and the evaluation of their relevance for logarithm tuition. Keywords: logarithm, logarithm tables, textbook analysis, functional equations.
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Ways of Teaching Combinatorics at the Secondary School and their Influence on Pupils' Solving Strategies
Strnadová, Pavlína ; Vondrová, Naďa (advisor) ; Kvasz, Ladislav (referee)
The diploma thesis deals with ways of teaching combinatorics at a secondary school. Specifically, I analyzed selected mathematics textbooks for secondary schools in terms of introducing concepts and operations of combinatorics and in terms of types of tasks used. I carried out interviews with six secondary school mathematics teachers and observations of their lessons in order to describe their method of teaching combinatorics. Using results of tests written by these teachers' pupils, I examined whether and how their solving strategies and errors might be influenced by their teachers' approach to teaching combinatorics. Finally, I compared my results with the existing results of mathematics education research on pupils' combinatorial reasoning. The work is divided into four chapters; the first three are theoretical (curricular documents for selected schools, analysis of textbooks on combinatorics in terms of the implementation of combinatorial concepts and operations, selected research about pupils' solving strategies and errors for combinatorial problems, methods of checking the correctness of their solutions. and the impact of ways of teaching combinatorics on pupils' performance). Chapter 4 focuses on my own research which consists of interviews with teachers, observations of lessons on combinatorics, the...
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