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Introduction into the topic of sequences at the secondary school of book culture in a motivating way
Bay, Petra ; Vondrová, Naďa (advisor) ; Kvasz, Ladislav (referee)
The aim of the thesis is to present the potential of constructivist approaches to teach sequences at high school, with special attention to the problems leading to generalisation. You will read about critical points in the process of generalisation which occurred in TIMSS and PISA international studies and which were examined in the teaching experiment. The question of motivation to learn mathematics is an essential part of this thesis as well as it is an essential part of constructivist approaches to teaching. Two chapters at the beginning analyze school curricular documents, science articles, school textbooks and TIMSS and PISA international studies which formed the theoretical frame of the teaching experiment. The teaching experiment is based on Hejný's theory of generic models and on constructivist approaches to teaching which are introduced in the third chapter. Chapter four which describes the teaching experiment and pre-experiment is the main part of the thesis. It brings inspiration how to deal with the critical points in the process of generalisation and how to motivate pupils to learn mathematics. Key words sequence, generalisation, mathematisation, motivation, approaches to teaching, constructivism
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Pupils' difficulties in solving selected word problems from TIMSS research
Matěka, Petr ; Vondrová, Naďa (advisor) ; Novotná, Jarmila (referee)
Pupils' difficulties in solving selected word problems from TIMSS research. (Diploma Thesis.) Abstract The theoretical part of the diploma thesis describes international comparative surveys, namely PISA and TIMSS, and analyses results of Czech pupils. Some areas are distinguished in which our pupils were unsuccessful and from them, the area of word problems and their mathematisation was selected for further work. Next, a solving strategy is characterised and some relevant research from this area is given. The core of the work lies in the experimental part whose goal was to find out what strategies pupils use when solving selected problems from TIMSS research and why they fail in them, via the analysis of pupils' written solutions complemented by interviews with them. Causes of failure of our pupils in these problems in TIMSS 2007 are looked for in mistakes pupils make, while it is also followed in what phase of the solving process they appear. The participants of research were pupils of Grade 9 of a primary school who solved three selected word problems from TIMSS research. Their written solutions were complemented by interviews with the experimenter focused on their mistakes and lack of clarity of the solutions. Four pupils participated in a pilot study. The atomic analysis of their solutions confirmed...
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Introduction into the topic of sequences at the secondary school of book culture in a motivating way
Bay, Petra ; Vondrová, Naďa (advisor) ; Kvasz, Ladislav (referee)
The aim of the thesis is to present the potential of constructivist approaches to teach sequences at high school, with special attention to the problems leading to generalisation. You will read about critical points in the process of generalisation which occurred in TIMSS and PISA international studies and which were examined in the teaching experiment. The question of motivation to learn mathematics is an essential part of this thesis as well as it is an essential part of constructivist approaches to teaching. Two chapters at the beginning analyze school curricular documents, science articles, school textbooks and TIMSS and PISA international studies which formed the theoretical frame of the teaching experiment. The teaching experiment is based on Hejný's theory of generic models and on constructivist approaches to teaching which are introduced in the third chapter. Chapter four which describes the teaching experiment and pre-experiment is the main part of the thesis. It brings inspiration how to deal with the critical points in the process of generalisation and how to motivate pupils to learn mathematics. Key words sequence, generalisation, mathematisation, motivation, approaches to teaching, constructivism
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Pupils' difficulties in solving selected word problems from TIMSS research
Matěka, Petr ; Vondrová, Naďa (advisor) ; Novotná, Jarmila (referee)
Pupils' difficulties in solving selected word problems from TIMSS research. (Diploma Thesis.) Abstract The theoretical part of the diploma thesis describes international comparative surveys, namely PISA and TIMSS, and analyses results of Czech pupils. Some areas are distinguished in which our pupils were unsuccessful and from them, the area of word problems and their mathematisation was selected for further work. Next, a solving strategy is characterised and some relevant research from this area is given. The core of the work lies in the experimental part whose goal was to find out what strategies pupils use when solving selected problems from TIMSS research and why they fail in them, via the analysis of pupils' written solutions complemented by interviews with them. Causes of failure of our pupils in these problems in TIMSS 2007 are looked for in mistakes pupils make, while it is also followed in what phase of the solving process they appear. The participants of research were pupils of Grade 9 of a primary school who solved three selected word problems from TIMSS research. Their written solutions were complemented by interviews with the experimenter focused on their mistakes and lack of clarity of the solutions. Four pupils participated in a pilot study. The atomic analysis of their solutions confirmed...
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