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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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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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An analysis of student solutions of mathematical tasks as a preparation for posing tasks in the Concept Cartoon format.
ZELENKOVÁ, Jana
The thesis is focused on the written exam of maths of 6th grade pupils at the lower secondary school. The aim of this work is to analyze solutions of pupils as preparation for creating tasks in the Concept Cartoons. In the theoretical part of the thesis I deal with approaches to teaching maths, learning styles of pupils, their strategies in solving not only mathematical problems. Then I describe mathematical word problems, the Concept Cartoons, their origin, division and creation. In the practical part of the thesis I devote to specific works of pupils and analyze their solutions, both correct and incorrect. This part of the work serves as a preparation for the creation of completely new tasks Concept Cartoons. Everything is complemented by examples of pupils work.
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Concept Cartoons tasks as a complement to mathematical textbooks
ČECH, Adam
This work deals with tasks in the Concept Cartoons format. The work presents the use of tasks during the teaching of mathematics at the second stage of primary school. Qualitative research led to the identification of problematic topics in the mathematics curriculum. The collected data were used to create new tasks in the Concept Cartoons format, which are the content of this work. The new tasks were tested in practice. The work can serve as a topic for teachers to enrich teaching.
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The solving of ecology tasks by students of primary school
ČÍŽKOVÁ, Lenka
This thesis describes the primary school pupils' solution of ecology problems. The focus is the ecosystem of artificial lake. 63 pupils of the 5th grade of 3 elementary schools were given 11 problems on this topic. Assignment and solution was done via online forms due to the elementary schools being closed at the time of research. There were both open and closed problems in the questionnaire, the majority of the were assigned in the form of concept cartoons. The thesis studies the way the pupils solved these problems with the emphasis on the method rather than on the correctness of the solution (but the correctness is evaluated as well). The thesis presents the used method of numerical and graphical evaluation and points on some of the aspects of the pupils' solution. Among these aspects are: influence of the assignment layout, time necessary to solve the problem or the pupils' capability to form and write their own answer using a PC form.
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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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Observing how future primary school teachers reason about fractions
Samková, L. ; Tichá, Marie
The contribution focuses on the possibility to use an educational tool called Concept Cartoons in future primary school teachers' education, especially as an instrument for observing how future primary school teachers reason about fractions. The task which we adapted to the Concept Cartoons form belongs to primary school mathematics, i.e. it focuses on the concept of a fraction per se, in particular on the parts-and-whole decision and on comparison of two pre-partitioned models with diverse wholes. Using Concept Cartoons, we observe which statements about the issue our respondents consider as correct, and which kinds of reasoning they use in their justifications. We also mention other related concepts (percentages), and related tasks from entrance exams to lower-secondary selective schools.
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Developing open approach to mathematics in future primary school teachers
Samková, L. ; Tichá, Marie
In our contribution we focus on the possibility to develop open approach to mathematics in future primary school teachers during a university course on mathematics conducted in inquiry-based manner. We analyse data obtained in the beginning and in the end of the course with respect to two main aspects related to open approach to mathematics: searching for all solutions of a task, and acceptance of different forms of notation of a given solution. Data analysis revealed in the participants three different shifts towards open approach to mathematics, and showed that after the active participation in the course each of the participants improved at least in one of the monitored aspects, and that none of the participants got worse in any of the aspects.
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