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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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Solving strategies for word problems that can be solved with equations
Chromá, Stanislava ; Novotná, Jarmila (advisor) ; Pilous, Derek (referee)
The aim of this work is to get acquainted with the issue of solving word problems by means of equations, to state and to analyse various ways of solving them. The thesis also includes the comparison of strategies for solving word problems that are selected by students who have been already taught the given type of the equation, and students who have not yet mastered these procedures. The introductory part of the work deals with word problems in general. There the terms such as the word problems, procedures, methods and strategies used for solving word problems are specified. In the next part of the text, the basic types of equations are characterized. For each type of the equation, one typical word problem was selected and it was experimentally found out which solving strategies were used by students most often. Keywords: word problem, algebraic equation, non-algebraic equation, system of equations
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Analysis of critical situations at solving verbal tasks for pupils in first grade of elementary school
Chudík, Jan ; Havlíčková, Radka (advisor) ; Kloboučková, Jaroslava (referee)
The aim of this document is to familiarize first grade elementary school readers with the critical points in solving word problems in mathematics and to analyze various problem- solving strategies in concrete tasks. Primarily, the document is focused on determining pupils' difficulties and acquiring information about the problem-solving process through a written record of the solution and subsequent in-depth interviews. The theoretical part is divided into six sections dealing with terminology (e.g. word problem) and the areas influencing success in the solution of word problems and partial processes. The practical part contains an analysis of each pupil's solutions and a description of phenomena found in them, together with the grading teacher's help. KEYWORDS Word problem, pupil's solutions, analysis of interviews, questions, solution process
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Comparing strategies when solving some types of word problems
Kohout, Ondřej ; Vondrová, Naďa (advisor) ; Novotná, Jarmila (referee)
The bachelor's thesis deals with the issue of comparing strategies when solving selected types of word problems. The theoretical part deals with the notion of concept cartoons, selected types of word problems, the process and strategies for solving word problems and the results of foreign studies that focus on the influence of the comparison of solving strategies in teaching mathematics. The practical part of the work includes an analysis of selected Czech textbooks of mathematics for the lower secondary school, including teacher books, focusing both on the occurrence of multiple solving strategies for the same word problem and on didactic approach to the selected types of word problems. The core of the work is 15 original worksheets, consisting of concept cartoons, in which two hypothetical students present their solutions to the same type of a word problem. This work also includes a proposal on how to implement such a worksheet in class, along with a proposal for a possible continuation of the use of comparing strategies in mathematics teaching.
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Use of music education in mathematics lessons at the 1st stage of elementary school or Let's sing, Mr. teacheronnection between mathematics and music in primary school
Jánošková, Zuzana ; Jirotková, Darina (advisor) ; Havlíčková, Radka (referee)
The work deals with the possibility of interconnecting the teaching of mathematics with music. The theoretical part focuses on the relationship between mathematics and music, student motivation, the theory of multiple intelligence and also on whether music can contribute to the development of mathematical thinking. The practical part delivers five lesson preparations, where the main topic is music education and several other ways to use music education in another mathematical topic. KEYWORDS Music in mathematics, rhythm in mathematics, musical instruments in mathematics, motivation, word problems, equations, intersubject relations, Gardner's theory of multiple intelligence.
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Word problems with different results at primary school
Švihnosová, Kristýna ; Havlíčková, Radka (advisor) ; Kvaszová, Milena (referee)
The diploma thesis is focused on the issue of word problems with different results, to which is not given systematic attention in the specialized literature. The focus of the work is to observe how pupils and teachers of elementary school work with a word problem with different results. The theoretical part focuses on the typology of word problems, the phases of their solution and solving strategies. Furthermore, the classification of word problems according to the number of results and the typology of word problems with different results is proposed. A significant part consists of the goals with which this type of task can be assigned in the teaching of mathematics and which change depending on the teacher and his approach to teaching. The work also deals with the basic characteristics of teaching styles. The selected qualitative research using the method of observation and questionnaire allows to describe the work of teachers with a word problem with different results and to identify elements of teaching styles, namely transmissive and constructivist approaches, which are reflected in the actions of teachers. An additional method is the analysis of selected textbooks in terms of the presence of word problems with different results, which reveals whether such tasks occur in textbooks and what...
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Word problems about money in the 2nd year of primary school
Vodrážková, Lucie ; Slezáková, Jana (advisor) ; Kaslová, Michaela (referee)
The principal objective of this thesis is the comprehension of students' mental processes while solving verbal math problems about money. There searchis focused on pupils in the first stage of primary school and in particular verbal math problems, in which nominal value of coins, quantity of coins and their total particular verbal math problems, in which nominal value of coins, quantity of coins and their total sum play a key role. There fore, the objective of this diploma thesis is to lay out classify mony-related exprecises in thee currently used lies of elementary school mathematics text books for grade. The theoretical part consist of demarcation of early school age, a certain number of fanticipate dacts by RVP ZV for the first and second educational period, numeracy, literacy, verbal math problems, various strategies on how to solve such problems, basic is sues pipils encounter whilw solving those problems, coments on the topic of verbal math problems which appear in theree volume soft text books in tended for primary schools (Prodos, Taktic, H-mat). Their division into three types (a total sum of coins, nominal value of coins and number of coins) and their mutual comparision. The goal of the practial part is to analyse thought processes of and grade pupils when solving word problems about...
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Influence of cultural contexts on word problems solutions
Spurová, Markéta ; Kaslová, Michaela (advisor) ; Kvasz, Ladislav (referee)
The aim of this work is to determine the extent to which the cultural context of a word problem influences its solution by pupils of the 9th grade of secondary schools. Two research questions were set. The first: Will the different cultural context affect the solution of the word problem? How? The second: What do pupils think about word problems with different cultural contexts? The thesis consists of two parts: the theoretical and the practical. In the theoretical part, the general concepts such as culture and the word problem are addressed, followed by a discussion of the cultural context of word problems and their analysis in chosen textbooks. Furthermore, a significant part is devoted to ethnomathematics and multiculturalism in Czech schools. Finally, the difference between the word problem with a typical Czech context and the word problem with a different cultural context is established based on the results of textbooks analysis and the pre-research. The research, which is described in the practical part was conducted qualitatively, and the data were obtained from written tests and semi-structured interviews. The results have shown that the different cultural context of a word problem affects the time needed to solve the problem. In addition, the choice of the type of solution and the type of...
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Word problems about money in the 2nd year of primary school
Vodrážková, Lucie ; Slezáková, Jana (advisor) ; Kaslová, Michaela (referee)
The principal objective of this thesis is the comprehension of students' mental processes while solving verbal math problems about money. The research is focused on pupils in the first stage of primary school and in particular verbal math problems, in which nominal value of coins, quantity of coins and their total sum play a key role. The theoretical part consists of demarcation of early school age, a certain number of anticipated acts by RVP ZV for the first and second educational period, numeracy, literacy, verbal math problems, various strategies on how to solve such problems, basic issues pupils encounter while solving those problems, teaching aids used in dealing with verbal math problems about money, comments on the topic of verbal math problems which appear in three volumes of textbooks intended for primary schools (Prodos, Tak-tic, H-mat), and their mutual comparison. The practical part is launched by methodology of a quantitative research (in the form of three experiments). The first pre-experiment is carried out by seven pupils, the first and second by ten pupils. This part thoroughly describes the preparation of each experiment, along with their subsequent realisation, as well as analysed verbal math problems for individual experiments, expectations, example of one of the interview...
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Analysis of critical situations at solving verbal tasks for pupils in first grade of elementary school
Chudík, Jan ; Havlíčková, Radka (advisor) ; Kloboučková, Jaroslava (referee)
The aim of this document is to familiarize first grade elementary school readers with the critical points in solving word problems in mathematics and to analyze various problem- solving strategies in concrete tasks. Primarily, the document is focused on determining pupils' difficulties and acquiring information about the problem-solving process through a written record of the solution and subsequent in-depth interviews. The theoretical part is divided into six sections dealing with terminology (e.g. word problem) and the areas influencing success in the solution of word problems and partial processes. The practical part contains an analysis of each pupil's solutions and a description of phenomena found in them, together with the grading teacher's help. KEYWORDS Word problem, pupil's solutions, analysis of interviews, questions, solution process
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