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The Factors Influencing the Usage of Modem Technologies in Teaching Mathematics
Havelková, Veronika
The aim of this thesis is to explore the factors influencing the usage of modern technologies in teaching Mathematics. Modern technologies have been gradually earning their place in Czech schooling for a while now, but they are not always used in the way we might expect. To address such a question, upon consulting various literary sources, this thesis presents a model of factors which influence the usage of technologies in teaching Mathematics and aims to answer the following questions. What factors influence the intended usage of technologies in teaching Mathematics? How do these factors influence the intended usage of technologies in teaching Mathematics? What are the differences between the intended usage and the real usage and what factors influence them? How do these factors influence the real usage in teaching Mathematics? The individual factors have been further explored by a multiple-case study of three Czech Mathematics teachers during their teaching and subsequential interviews. It was the form of a multiple-case study which allowed for deeper observation of the mutual relationships between the individual factors in teachers with very different approaches to teaching and modern technologies. The differences between the considered cases then provided an insight into what could help...
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Methods for overcoming differences in pace of students in mathematics lessons
Plívová, Anežka ; Havlíčková, Radka (advisor) ; Macháčková, Jana (referee)
- 4 - ABSTRACT This diploma thesis is focused on teacher's strategies in mathematics lessons with different work paces of pupils, specifically pupils with above-average pace. The theoretical part of the thesis summarizes and explains the basic concepts related to the identification of smart and gifted pupils. The next part is focused on models of talent, teaching pupils with above- average pace, as well as a transmissive and a constructivist approach to teaching. The used research method was observation and discussion in focus groups. The basis of the practical part of the diploma thesis is a set of collected information and its arrangement into the so- called typology of teacher strategies when working with a pupil who works at an above- average pace in mathematics lessons with the described advantages or risks of individual strategies. The main goal of this diploma thesis was to collect ways in which the teacher copes with the different paces of students in mathematics lessons, mainly focusing on pupils with above-average work rates. Thesis describes benefits as well as risks that could arise in the application of strategies for the described individual methods. KEYWORDS above-average pace, mathematics teaching, gifted pupil, bright pupil, teacher's strategy
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The Factors Influencing the Usage of Modern Technologies in Teaching Mathematics
Havelková, Veronika ; Jančařík, Antonín (advisor) ; Robová, Jarmila (referee) ; Slavíčková, Mária (referee)
The aim of this thesis is to explore the factors influencing the usage of modern technologies in teaching Mathematics. Modern technologies have been gradually earning their place in Czech schooling for a while now, but they are not always used in the way we might expect. To address such a question, upon consulting various literary sources, this thesis presents a model of factors which influence the usage of technologies in teaching Mathematics and aims to answer the following questions. What factors influence the intended usage of technologies in teaching Mathematics? How do these factors influence the intended usage of technologies in teaching Mathematics? What are the differences between the intended usage and the real usage and what factors influence them? How do these factors influence the real usage in teaching Mathematics? The individual factors have been further explored by a multiple-case study of three Czech Mathematics teachers during their teaching and subsequential interviews. It was the form of a multiple-case study which allowed for deeper observation of the mutual relationships between the individual factors in teachers with very different approaches to teaching and modern technologies. The differences between the considered cases then provided an insight into what could help...
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System for Online Teaching of Mathematics
Dohnal, Lukáš ; Bartík, Vladimír (referee) ; Burget, Radek (advisor)
The aim of this bachelor thesis is to design and implement a web application for online teaching of mathematics. The system is primarily intended for students and teachers at secondary schools. The application is implemented in PHP and Javascript languages. The Symfony framework is chosen on the backend and the React framework was used for the frontend implementation.
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Introduction to variables in the teaching of teachers using the method of building schemes in mathematics
Smutná, Anežka ; Vondrová, Naďa (advisor) ; Kvasz, Ladislav (referee)
This thesis deals with an introduction to variables. The aim of the thesis was to compare different approaches to teaching the introduction to variables in teachers who teach a method based on building schemes (known as Hejny method). The theoretical part of the thesis is a search of literature on the topic of introduction to variables and the theoretical background of teaching methods based on building schemes. Further, the thesis analyses textbooks designed for this method with a focus on tasks important for the propaedeutics of the variables. The research itself consisted of interviews with four teachers and observations of the lessons they taught in the 7th and 8th grades of secondary school, the topic of which was an introduction to the "language of letters". In total, there were fifteen lessons taught by these teachers in six classes (2-3 lessons in each class). Data were analyzed by qualitative methods. Although the observed teachers taught using the same method, I identified differences in the approach to the introduction of the variables and in the style of their teaching. There were differences in the organization of the lesson, in the selection of tasks and their style of assignments to pupils, teaching methods and ways in which teachers communicate with pupils. At the moment of entering the...
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Various concepts of teaching of axial symmetry in elementary schools
Bečanová, Veronika ; Jančařík, Antonín (advisor) ; Pilous, Derek (referee)
The aim of the thesis is to describe and compare two aproaches to the education of axial symmetry in elementary schools. On the basis of the study of specialized literature, the thesis describes different ways of the axial symmetry education and also compares the contributions on the side of pupils as well as the demands on teacher's class preparation. The main goal of the practical part of the thesis was to prepare, realize and evaluate axial symmetry education itself in two classes and to compare it with a different didactic aproach in other two classes of the sixth year. The thesis deals with axial symmerty education containing some of the elements of the constructivist style in classes where pupils have no experience with the method. The teaching itself consisted of the author's own activities and modifications of the worksheets that were subsequently used by pupils, followed by evaluation of their meningfulness. The lessons were evaluated on the basis of audio records, own notices, pupils' solution records and interviews with the assistant of the teacher, the outputs by means of pre- testing and post-testing. The results indicate that the lessons with the elements of constructivist teaching could be more effective for pupils rather than the transmissive teaching. The pupils considered the...
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Didactical situations for teaching mathematics in French
Sovič, Pavel ; Novotná, Jarmila (advisor) ; Vondrová, Naďa (referee)
The diploma thesis focuses on learning Maths through French language using the CLIL method at a secondary vocational school. The acronym CLIL (Content and Language Integrated Learning), EMILE (Enseignement de Matières par Intégration d'une Langue Etrangère) or e.g. AICL (Apprentissage Intégré d'un Contenu et d'une Langue) refers to integrated learning of a content-based subject through an additional language. There are always two aims of such tuition. The first aim is the content goal (e.g. to gain particular specialized knowledge or skill in mathematics); the second aim is the language goal (e.g. to learn essential vocabulary and sentence structures in order to lead a discussion concerning the solution of a quadratic equation in the French language). Based on a literary research, analysis of educational CLIL materials, and especially in connection with theoretical grounds of the method (constructivism, problem-solving, critical thinking, active and communicative approach) there was established a study plan focusing on the topic of quadratic equations. The experimental tuition was put into practice with the 1st year students of a secondary school, where the French language is taught as the second foreign language. The main objective, apart from the tuition itself and its analysis, was to assess the...
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Venn diagrams - Teaching Mathematics using the CLIL method for upper secondary pupils
Vojířová, Barbora ; Novotná, Jarmila (advisor) ; Moraová, Hana (referee)
This thesis focuses on the teaching of mathematics using the CLIL method. The topic is Venn diagrams and learning how to solve problems using these diagrams. The language chosen for the CLIL method is English. First, the CLIL method is described, and later I introduce sets and Venn diagrams. The aim of the thesis is to prepare and implement two lessons using the CLIL method in English, and two lessons in Czech, followed by preparing a test in both languages for a third lesson. The thesis was realized by conducting a teaching experiment, which took place in two classes of multi- year grammar school (in the Quintas - the first year of secondary school). I have compiled and tested four worksheets - two with Czech tasks, two with English tasks, a presentation for the lesson using the CLIL method, and tests for both language versions. Both the tasks and solutions are part of the thesis. Before the preparation of the thesis, the following two research questions were identified: 1. What needs to be taken into consideration when preparing for the Venn diagrams lesson using the CLIL method, and what needs to be added to this lesson compared to the Czech lesson? 2. At what success rate will pupils learn using the CLIL method in English and pupils using Czech, with regard to equation building and answers to...
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Comparing methods of mathematics teaching with a focus on geometry
Stříbrná, Eliška ; Tůmová, Veronika (advisor) ; Kloboučková, Jaroslava (referee)
The goal of this diploma thesis is to observe, characterize ale reflect two well-known methods of teaching mathematics - so-called classical method and method according to professor Hejný, on the example of two second grade class teachers of elementary school with a focus on geometry. In the theoretical part I list several research works concerning class room observation. I use these to set up methodology of my own research. Moreover, the methods are characterized according to the literature and the analysis of the textbooks. Also the outputs of the Framework Education Programme (in Czech "Rámcový vzdělávací program") are presented in this theoretical part. I use these outputs to evaluate whether the method leads students to what they should know. The practical part consists of observing lessons of two teachers, my own teaching experience in the given classes and final questionnaire for students. Data collected from these observations are analysed with the help of qualitative and quantitative methods. The representative of the so-called classical method put emphasis on repetition and system. He usually asks students questions that require a shorter response. Students do not enjoy the school and geometry that much, but the knowledge results are quite good. The representative of the method according...
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Circumferences and areas of plane figures
Šrámek, Martin ; Robová, Jarmila (advisor) ; Šarounová, Alena (referee)
Title: Circumferences and areas of plane figures Author: Martin Šrámek Department: Department of Mathematics Education Supervisor: doc. RNDr. Jarmila Robová, CSc. Abstract: This diploma thesis Circumferences and areas of plane figures is designed for teachers and high school students. Teachers might find some interesting tasks including various metric problems from the field of synthetic geometry as well as inference of mathematic equations for calculation circumferences and areas of plane figures which are taught at elementary schools and high schools. Pupils can appreciate solved tasks and their knowledge can be applied to other similar tasks. The ninth chapter includes more difficult tasks. There are many drawings exported from GeoGebra which can help students to understand the task better. Keywords: circumference, area, length, teaching of mathematics
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