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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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Secondary school pupils' mistakes when solving school leaving examination problems with a low success rate
Myšáková, Eva ; Vondrová, Naďa (advisor) ; Pilous, Derek (referee)
The thesis focuses on problems from the mathematical didactic test, which represents an exam in mathematics in the common part of the school leaving examination. The aim of the work is to identify problems that were solved with low success, explain possible difficulties and propose recommendations, the implementation of which in teaching or training pupils could contribute to their better readiness for similar types of problems in the leaving exam. An analysis of the success in solving the problems of didactic tests is performed based on available anonymized data and the problems with the lowest success rates in solving the spring terms of the leaving exam in 2017-2020 are identified. Several problems are selected for research in this work. First, based on didactic analysis the possible reasons for low success in solving the selected problems are presented. Furthermore, research is carried out. A test is compiled from selected problems and it is presented for solution and optional commenting to respondents from high school. Their solutions are then evaluated and analyzed in detail and discussed with respect to previously formulated expectations. There were errors of a milder nature in the pupils' solutions, as well as errors indicating serious shortcomings in the understanding. Some of the errors...
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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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