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The effect of Singapore mathematics on the mathematical self-efficacy of elementary school pupils
Šulcová, Pavla ; Jančařík, Antonín (advisor) ; Jirotková, Darina (referee)
This diploma thesis partly follows from the research of Smetáčková and Vozková who developed a Czech mathematical self-efficacy questionnaire. It examines the student's mathematical self-efficacy, i.e. the student's belief about his ability to successfully work on solving mathematical problems, depending on gender, year and the type of word problems used. It is also dedicated to teaching, describing solutions and student strategies for solving word problems in the form of two types of Singaporean problems - What number makes sense and What question can you answer. It describes the mathematics teaching in Singapore, which is repeatedly placed in the top ranks in international testing. 53 pupils in the 4th and 5th year of elementary school participated in the research lasting 5 weeks. The students filled out a mathematical self-efficacy questionnaire at the beginning and end of the research. During the research, the 4th graders were presented with 8 Singapore- type problems What question can you answer, and the 5th graders were presented with 10 traditional-type or Singapore-type problems What number makes sense. Hypotheses were tested with a two-sample F-test. No difference in mathematical self- efficacy was demonstrated for boys and girls. The 4th -grade students rated as more mathematically...
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Teaching word problems using teaching materials "Comparison"
Hrúzová, Eva ; Vondrová, Naďa (advisor) ; Novotná, Jarmila (referee)
This paper focuses on the implementation of methodological materials based on concept cartoons for teaching word problems at the lower level of secondary school. The theoretical part of the work deals with the description of word problems and their teaching in schools, including the role of the teacher and the constructivist approach. It also addresses the concept of concept cartoons, which is used as the basis for implementing methodological materials. In the practical part, these materials are implemented over five teaching hours in the seventh and eight grades. The results indicate that the implementation of methodological materials using concept cartoons in teaching word problems at the lower secondary school level was succesful, and students evaluated this new teaching approach positively. One of the main benefits of using concept cartoons, based on the experience from teaching experiment, is that they createa non-threatening learning environment where students do not experience the fear of failureThis is because mistakes and difficulties in solving problems are attributed to fictional cartoon character. Additionally, the use of concept cartoons encourages discussion and interaction among students, as there is often more than one correct solution to a given problem. This approach helps to...
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Selected parameters influencing the difficulty of word problems
Vokounová, Lenka ; Novotná, Jarmila (advisor) ; Vondrová, Naďa (referee)
This thesis deals with selected parameters influencing the difficulty of word problems and also the student's ability to solve them. The aim of the thesis is to theoretically look into it and practically test some of these parameters from the project of the Grant Agency of the Czech Republic number 16-06134S - Word Problems as a Key to Application and Understanding of Mathematical Concepts and point out the difficulties that mathematics teachers may not perceive at first sight and consider as a problem. The first part of the thesis is devoted to word problems in general. It deals with the importance of word problems in mathematics lessons, classification of word problems. Finally, it deals with the solution of word problems. In the second part there are some parameters influencing the difficulty of word problems. These parameters are selected mainly on the basis of the project of the Grant Agency of the Czech Republic number 16-06134S - Word Problems as a Key to Application and Understanding of Mathematical Concepts and based on own experience in teaching. Some of these parameters I analyzed in mini case studies and my own teaching experience. In the last part of the thesis is my own recommendation for working with word problems. KEYWORDS word problems, parameters influencing the solution of word...
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Selected parameters influencing the difficulty of word problems
Vokounová, Lenka ; Novotná, Jarmila (advisor) ; Vondrová, Naďa (referee)
This thesis deals with selected parameters influencing the difficulty of word problems and also the student's ability to solve them. The aim of the thesis is to theoretically look into it and practically test some of these parameters from the project of the Grant Agency of the Czech Republic number 16-06134S - Word Problems as a Key to Application and Understanding of Mathematical Concepts and point out the difficulties that mathematics teachers may not perceive at first sight and consider as a problem. The first part of the thesis is devoted to word problems in general. It deals with the importance of word problems in mathematics lessons, classification of word problems by mathematics and context. Finally, it deals with the solution of word problems. In the second part there are some parameters influencing the difficulty of word problems. These parameters are selected mainly on the basis of the project of the Grant Agency of the Czech Republic number 16-06134S - Word Problems as a Key to Application and Understanding of Mathematical Concepts and based on own experience in teaching. Some of these parameters I analyzed in mini case studies and my own teaching experience. In the last part of the thesis is my own recommendation for working with word problems. KEYWORDS word problems, parameters...
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Word problems with a sports themes
ČEJKOVÁ, Šárka
Word problems are parts of everyday life and in teaching maths have an irreplaceable place. The aim of the bachelor's thesis is to create an colection of word problems with a sports themes and approximate the applicability of mathematics curriculum in everyday life. Each exercise will be supllying the sample solution. Colection od word problems will be included into different sports games. In most samples are exercises, which work with programs MS Excel and GeoGeobra.
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Selected parameters influencing the difficulty of word problems
Vokounová, Lenka ; Novotná, Jarmila (advisor) ; Vondrová, Naďa (referee)
1 ABSTRACT This thesis deals with selected parameters influencing the difficulty of word problems. The aim of the thesis is to identify some parameters that could influence the solution of word problems and show that the connection of mathematics with language makes sense and can point out the difficulties that mathematics teachers do not see in the task. The first part of the thesis is devoted to word problems in general. It deals with the importance of word problems in mathematics lessons, classification of word problems by mathematics and context. Finally, it deals with the solution of word problems. In the second part there are some parameters influencing the difficulty of word problems. Subsequently, the analysis of the influence of selected parameters on selected word problems is carried out on the basis of the project of the Grant Agency of the Czech Republic number 16-06134S - Word Problems as a Key to Application and Understanding of Mathematical Concepts and based on own experience in teaching. In the last part of the thesis is my own recommendation for working with word problems. KEYWORDS word problems, parameters influencing the solution of word problems, solving of word problems
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An analysis of student solutions of mathematical tasks as a preparation for posing tasks in the Concept Cartoon format.
KRŠKOVÁ, Jana
This thesis deals with the Concept Cartoons method and quantitative analysis of data, which were taken from third year students written work, that focused on different approaches of solving mathematical tasks. The analysis focuses on right and wrong, common and less common solutions. Part of this work is the creation of Concept Cartoons questions. In the theoretical part, this method is described and mentioned as who is its creator. It also describes word problems and counting operations like addition, subtraction, multiplication, and division.
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Solving strategies of word problems in their historical development
Hejdrychová, Kateřina ; Novotná, Jarmila (advisor) ; Jančařík, Antonín (referee)
Title: Solving strategies of word problems in their historical development Abstract This thesis deals with word problems which can be solved by using linear equations. Its aim is to create a collection of current and historical problems selected from different periods of the history of mathematics. In the first part, the level of emphasis put on the use of word problems in the teaching of mathematics by the Framework Education Programme is shown.The contribution of word problems to developing mathematical and financial literacy is also highlighted The second part deals with the history of mathematics focusing on the domains of equations and word problems, both from a worldwide and Czech perspective. The third part is a collection of type problems. The problems are grouped according to context in the way it is usually done in Czech educational materials for primary and secondary schools: problems dealing with the division of a whole into unequal parts, problems dealing with movement, problems dealing with joint work and problems dealing with mixtures. The collection contains three types of problems. Current problems are adopted from contemporary textbooks and collections of problems for schools. Historical problems are taken from historically significant resources from different countries. Outdated problems...
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