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1

ВИРІШЕННЯ ПРОБЛЕМИ ФОРМУВАННЯ МОТИВАЦІЇ ДО ВИВЧЕННЯ МАТЕМАТИКИ НА ОСНОВІ ЇЇ СИСТЕМНОГО АНАЛІЗУ

100%
Ротаньова Н.
Педагогічні науки: теорія, історія, інноваційні технології
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2016
|
issue 2(56)
364-374
EN
The question of learning motivation is very important, as it has been a subject of interest for scientists and educators for a long time. However, the problem of formation of motivation to study mathematics remains open. Therefore, the purpose of the article is a systemic analysis of the formation of motivation to study mathematics and to identify ways of solving all the problems concerning this sphere. Using such methods as theoretical analysis of scientific and technical, psycho-pedagogical and methodological literature, analysis and synthesis of teachers of mathematics, lessons and group lessons heuristic mathematical theoretical basis of motivation is analyzed. Based on the mentioned above, methods of development of the motivation of students to study mathematics during heuristic management activities for the classroom and in extra-curricular activities are proposed. Among them there are the following: creation of the problem situation before outlining new material (such a situation leads the student to comprehension of insufficiency of his knowledge, which in turn raises interest to reach a new level); usage of the method of “brainstorm”, the essence of which is the collective creative work to solve certain complex problems; organization of heuristic conversation (teacher by constructing a special system for students leads to “discovery” of some mathematical facts); application visibility, the efficient means of which is mathematical demonstration of the educational material; usage of heuristic tasks application content; heuristic solution of problems in the didactic games and game situations; creation of a situation of success, as the student’s interest to study mathematics depends very much on the emotional aspects of teaching etc. Thus, the author points out that the emergence of interest in mathematics in a significant number of students depends largely on methods of teaching, how skillfully heuristic activities will be organized. This is particularly important in adolescence, when a person is being formed, and sometimes determines only permanent interests and predisposition to a particular academic subject. Therefore, development of methods and means of forming and maintaining motivation to study mathematics is a problem of modern methods of teaching mathematics, which must be constantly explored.
2
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What strategies are used by middle school students while solving mathematical tasks in a digital form

100%
Czajkowska M.
International Journal of Pedagogy, Innovation and New Technologies
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2016
|
vol. 3(2)
102-109
EN
Mathematical problems are the source of mathematical and logical experience, in which student’s mind builds its mathematical competences. The sort of mathematical problems that are given to students and its form are not of no importance. Herein focus will be put on certain issues resulting from the usage of mathematical tasks presented to students in a digital form. The author, based on her own study, characterizes the strategies that were used by the middle school students while solving interactive mathematical tasks. She states that no intervention from teacher’s side, thus letting students use a free method for solving tasks, does not positively influence the mathematical competences to be acquired. With this, she questions the thesis that the middle school students grew up in the world of multimedia where the work with such mathematical task solving comes in a natural way. To the author’s way of thinking, it is necessary to work out a methodology that will be aiming at introducing students to solving mathematical tasks in a digital form.
3
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Strategies of solving tasks while using the multimedia computer program by 7-year-old students

88%
Jelinek J. A.
International Journal of Pedagogy, Innovation and New Technologies
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2016
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vol. 3(2)
38-46
EN
Both in the classroom as well as on the computer screen pupils can apply similar strategies of dealing with tasks (with difficult situation). For this reason multimedia programs for learning mathematics treated are as educational alternative manner of the forming amongst children abilities of solving problems. Domain of computer programs is better adapting the level of difficulty of tasks to individual possibilities of each of users. It seems that contemporary multimedia programs are effective (Kaczmarek, 2003; Watoła, 2006; Raszka, 2008). However from conducted research which are taking into account behavior of pupils while using the computer is pointing out to the uncertainty in this belief. It turns out that abilities acquired while using the multimedia program of children aren't transferring for solving problems in tasks of the paper-pencil type (Kengfeng, 2008).
4

ІСТОРИЧНІ ВІДОМОСТІ ЯК ЗАСІБ АКТИВІЗАЦІЇ ДІЯЛЬНОСТІ СТУДЕНТІВ ІЗ ЗАСВОЄННЯ НИЗКИ ФУНДАМЕНТАЛЬНИХ ГЕОМЕТРИЧНИХ ІДЕЙ

75%
Антонюк О.
Педагогічні науки: теорія, історія, інноваційні технології
|
2016
|
issue 2(56)
155-162
EN
The purpose of the article is to analyze the possibilities of mathematics’ history for activating students in mastering new geometric concepts, ideas and illustrate them by means of examples. The study used the following methods: theoretical analysis of a number of publications on the subject, synthesizing, deduction. The article refers to the need of increasing students’ cognitive activity for improving the educational process. The work aims to describe a row of aspects of cognitive activity formation by means of history of science. As a result of the analysis of a number of publications on the subject area there were highlighted problematic issues of didactic conditions development of the usage of historical information in the study of geometric disciplines. To illustrate the ability of this tool to increase the cognitive activity of students the article presents examples of biographical information and scientific heritage of R. Dekartes and N. Gulak. Philosophical and mathematical ideas of R. Dekart are as such to interest students and explain them the importance of the ideas of coordinating method of mathematics development. Works of N. Gulak are aimed at facilitating the realization of ideas of non-Euclidean geometry, to describe the role of Lobachevskyi in the appearance of a new hyperbolic geometry. In particular, the biography of N. Gulak with description of his participation in Cyril and Methodius Foundation, his courageous behavior during the criminal and judicial persecution, activities in exile and after, makes considerable emotional impression. Examples of the usage of history of science which are presented in the work eloquently testify to the power of its influence on the educational and training process. Thus, the use of historical material may be the reception that under thorough methodological preparation and systematic use is able to improve the educational process in general, have positive impact on the working atmosphere and students’ capacity for creative activity. And geometry gives many reasons for this, it explains the need of continuation of such research of the various topics that let seamlessly weave historical information in the context of training material program and thus activate the cognitive activity of students.
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