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Games - teaching mathematics through the medium of a foreign language
Řehák, Jiří ; Novotná, Jarmila (advisor) ; Kvasz, Ladislav (referee)
This thesis is about a study looking into the viability to use Minecraft as a teaching tool in order to teach basic geometry. Using Minecraft Educational edition and based on principles from Self- Determination theory, two specifically tailored maps were created, one was a review towards area and perimeter, and the other one was directed towards volume, a new concept for them to discover. 15 fifth grade students, 9 boys and 6 girls, participated in this study, they were split between two separate groups that participated in this study. Children were given an assessment test to find out what everyone's level is at. Once completed they received tablets with a custom map and some worksheets to go along with it. Students progressed through the maps at an individual pace, with no time restriction they were free to explore in the direction they wished. When finished the children were tested again for comparison. Results have shown that students have the abilities to intuitively discover how to calculate volume after a quick area and perimeter review. Additionally, very positive responses have been expressed during the entire study with increased attentiveness and complete immersion. Potential uses of such discoveries could help alleviate the current work load that our current school system experiences.
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Software application to support mathematics education in primary schools
Helgert, Michal ; Štípek, Jiří (advisor) ; Leipert, Jiří (referee)
The bachelor thesis focuses on the creation of a software application targeting content for grades 1-3 of primary schools, used for practicing mathematics and sharing math exercises. Initially, the focus is on identifying the state of the mathematics curriculum for this age group, delineating differences in the curriculum between grades, and comparing the curricula of selected elementary schools. Next, the paper discusses gamification, its principles and its use in real school classrooms through educational software. It describes the software already available in Czech, also practicing mathematics, covering the same age. A key part is the actual mapping of the process of creating a software application, describing the technologies used, the structure of the databases and how they work. The thesis concludes with an installable version of the application on Android and Windows operating systems.
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Analysis of multiplication methods and their application to teaching aids
BOUDOVÁ, Anna
The aim of the dissertation is to analyse various methods of multiplication. Present and historical methods of multiplication will be included in analysis. Each method will be described and then they will be compared together. Based on some selected methods didactic aids will be created to support the teaching of mathematics. There will be following process of elaboration: - Research of literature related to the issue - Analysis of methods of multiplication - Study of Framework Education Programme for Basic Education - Analysis of the development of multiplication in selected sets of textbooks - Comparison of multiplication methods - Creation of didactic aids
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Mathematics in the world of sports
DOČEKALOVÁ, Lenka
The diploma thesis deals with mathematics in the world of sports. The aim was to show how important mathematics is for sport and its great use. The work was divided into two parts. In the first, we discuss the athletic decathlon in detail. Specifically, we deal with the scoring system, the increase of points, percentage differences and the influence of individual performances in different disciplines. The text should also serve as advice for decathlete coaches, in which direction they should lead their training for the improvement of their charges. The last part of the chapter is dedicated to comparing the results of the best decathletes. The second part analyzes biathlon. Again, the main content of the work is the adjustment of scoring systems and various strategies of biathletes, in which we also include the influence of external conditions. The work deals only with endurance races and sprints for a total of eight selected competitors. At the end of the thesis there are also hints and tips for improving the performance of competitors.
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Interdisciplinary relationships in the educational areas of Human Biology and Mathematics at Lower Secondary Level
VAVRUŠKOVÁ, Radka
The main target of the diploma thesis was the creation of worksheets on the topic of intersubject relationships of natural history and mathematics, which focus on 6 topics. The worksheets link the 8th grade science curriculum - human biology and mathematics. The other target is to enable students to adopt learning strategies and to motivate them. Encourage students to think creatively, think logically and solve problems. The didactic target of the worksheets is the acquisition, deepening and consolidation of the subject matter and the involvement of intersubject relationships. Worksheets and created questionnaires are used in three primary schools for a total of 91 students, of which 49 are boys and 42 are girls. Eight research questions were asked: Do the overall evaluations of the worksheets differ between individual groups of students? Yes. The results of the tests of primary school students (pilot study) were not included in the comparison. The overall percentage evaluation of the two groups of ES2 and one group of ES3 practically did not differ (about 40 %). The difference in the average values of the results of two parallel groups of ES3 was calculated as statistically significant (p = 0.034). Are overall worksheet grades correlate statistically significantly with report card grades? Yes. The correlation coefficient in group B1 was -0.817 for girls, boys had a correlation of -0.892. In group B2, the correlation for boys is -0.765, for girls it is 0.141 (exception from the observed trend, statistically insignificant relationship). Group C1 correlation result for girls is -0.833 and for boys -0.990. In the last group C2, the correlation is -0.811 for boys and -0.962 for girls. Does the student's estimate of points obtained as a percentage correlate positively with the actual grade? Yes. In (ES1) group A1 correlation 0.569, group A2 correlation 0.664. School (ES2) group B1 correlation 0.489, group B2 correlation 0.555. School (ES3) group C1 correlation 0.854 and group C2 correlation 0.382. There is a positive correlation here. Which areas cause the students the biggest problems and which ones do they manage best? Students had the biggest problem when preparing the worksheets with the range of questions from the topic of the digestive system and anthropometry, on the contrary, they coped best with the topic of axial symmetry. To what extent do the students know the concept of intersubject relationships? 36 % of students know the concept of intersubject relationships, but do not encounter them in lessons. Would students like more cross-curricular connections in maths and science lessons? Only 11 students out of a total of 91 answered that they would like more cross-curricular connections in maths and science lessons. In the opinion of the students, can the teacher include inter-subject relationships in the teaching? He can, but only in some subjects. What is the popularity of the subjects with students (is it important to motivate and activate students)? The average popularity score for mathematics from all schools is 3.5 and for science 3.1. The feedback showed that most students found the worksheets difficult, some praised the interesting connection between mathematics and science. The feedback from the teachers was generally positive, some suggested division into smaller units always related to the discussed topic, which also corresponds to the idea of the author of the work, which could not be fulfilled for organizational reasons.
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Mathematical competitions for the youngest pupils
ŘIČICOVÁ, Jana
The aim of the diploma thesis is to develop material for primary school teachers, which can be used to stimulate interest in Mathematics and further develop the youngest pupils' mathematical skills. In the theoretical part, teachers will get acquainted with an overview of domestic (the Czech Republic) and abroad mathematical competitions. These competitions are compared in different perspectives - complexity, typology of tasks, elaboration methods (complete task solution × choice of answer from the offered options). Each competition is briefly described, and it contains suitable motivational, or in some way interesting solved tasks. For each task, the teacher finds a methodological analysis of the solution with commentary. The practical part of the work contains four worksheets (for 2nd to 5th grade), which contain tasks from various competitions. These worksheets were verified at selected primary schools.
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Integrated teaching of mathematics and geography
HAMROVÁ, Marika
This diploma thesis deals with the interaction between the subjects of mathematics and geography in primary school education. The theoretical part focuses on the presentation of the document Framework Educational Program and anchors the subjects of mathematics and geography. It then describes the use of these two subjects in interdisciplinary relationships. The second part of the theory deals with teaching methods in primary school, including integrated teaching. The practical part consists of six different activities for mathematics or geography lessons. Each of these preparations contains a methodological sheet, a description of the activity, an evaluation and personal experience with the activity. The four activities include worksheets.
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Distance learning mathematics on the topic of Pythagorean Theorem
BEZROUKOVÁ, Kamila
This diploma thesis Distance teaching of the Pythagorean theorem deals with the topic of the Pythagorean theorem and distance teaching. The main objective of the thesis was to create interactive teaching materials for distance teaching of the Pythagorean theorem. The thesis contains detailed materials and reflections collected from the teachers and learners. It is a complex material with activities which can be used by teachers at elementary schools.
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Selected materials for preparation for secondary school entrance exams
VACKOVÁ, Lucie
The diploma thesis deals with Selected materials for preparation for secondary school entrance exams. The objective of this thesis was to create a workbook with exercises that help pupils with the preparation for the secondary school level entrance exams in Mathematics. The workbook is dedicated primarily to 9th-grade learners, however, teachers can use the exercises for revision lessons in any classroom in lower secondary school. The workbook comprises several thematic units which are introduced by the theoretical overview. Furthermore, the units consist of supplementary exercises with the answer key section.
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