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Solving word problems of the unfinished strategy type by pupils of the secondary school
Šinkorová, Jana ; Jirotková, Darina (advisor) ; Slezáková, Jana (referee)
The aim of the work was to test methodological materials created within the TAČR TL03000469 project "Support of the integration of mathematical, reading and language literacy in primary school pupils". The focus is on promoting word problems that combine mathematical, reading, and language skills in elementary school students. The pilot test was conducted in three 2nd grade elementary school classes, and three NES-type tasks were tested: "I think of a number", "Supermarket", and "Birthday Party II". Based on worksheets, questionnaires completed by the students, transcripts of the recorded group discussion, and a thorough analysis of the follow-up, I have concluded that the ability to successfully solve word tasks does not depend on the age of the student. Rather, it is related to the "readiness" to solve tasks, to the ability to read comprehensibly, to understand the relationships in the task, and to numerical competence. The essential component is cooperative work in a group, where individuals are enriched by discussing the problem together. Their communication often leads from a misunderstanding of the task to a correct solution. The result of the work is the description of methodological recommendations, examples of analyzing solution including their group discussions, and several specific...
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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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The environment Biland in teaching mathematics in primary school
Vybíralová, Tereza ; Slezáková, Jana (advisor) ; Jirotková, Darina (referee)
The diploma thesis deals with the topic of a didactic mathematical environment Biland. The theoretical part is concerned with the definition of two opposite educational styles, transmissive and constructivist, and their comparison. Within the constructivist educational style, it is also focused on The Hejný's method, and it defines the two basic pillars of this conception. The first pillar is the personality of the teacher and the other one is the mathematical content, which is provided by different mathematical environments. This diploma thesis introduces the environment Biland, describes on which mathematical basis it stands on and shows why should be Biland included into the teaching of mathematics. It answers the question of importancy of teaching also non-base ten systems and therefore it describes the history of place-value system. It also studies the tasks in contemporary textbooks of mathematics for primary schools by Hejný et al. published by publishing house FRAUS. The practical part includes the preparation and implementation of experiments in which the new environment Biland was introduced to the pupils. The experiments were recorded into protocols, followed by analysis. Another aim of the practical part was creation of worksheets for the pupils which were handed out after the...
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Strategies used to solve working memory tasks
Afanasyeva, Krystsina ; Páchová, Anna (advisor) ; Preiss, Marek (referee)
Working memory training is a very popular subject in nowadays literature, but processes that underlie the process of task solving have not been researched much. The aim of this work is to find strategies that are used when solving n-back tasks, and to find out the influence of modality and level of abstraction on the performance and choice of strategies. For these purposes the training program NBack Campaign was chosen. In this study participated 23 children from 12 to 14 years old, because children of this age have not been researched much. The participants were presented with visual and auditory tasks with different levels of abstraction. With some of the participants were conducted semistructured interviews. Statistical analysis showed the modality effect on performance. The effect of the level of abstraction on performance was shown only in visual tasks. Furthermore, the strategies that corresponded with modality and level of abstraction were identified. KEYWORDS N-back, strategies, modality, abstraction, working memory training
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Strategies of solving problems focusing on area of plane figures in elementary school
Patočková, Věra ; Novotná, Jarmila (advisor) ; Tůmová, Veronika (referee)
The theme of the diploma work are pupil's strategies of solving selected problems focusing on area of plane figures. The theoretical part includes definitions of basic ideas - problem, area, problems of area, solving problems, solving strategies. Plane figures are classified into particular school classes. Every plane figure is presented by examples of types of the problems, which are most common in elementary schools. The practical part of the work begins with the preparation of an experiment, where the objektive of the experiment is introduced, selection of problems for this experiment, description of tested group and the way of getting data. Follows the description of realization of the experiment. It contains three problems of the area of plane figures which were solved by pupils of the eighth and the ninth class. Supposed strategies, expected mistakes and analysis of pupil's solutions are presented. Expected and obtained solving strategies are compared for every problems. The result of the experiment is summarised in the conclusion. Keywords: problem, area, problems of area, solving problems, solving strategies, heuristic strategy
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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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