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Registration Number

0217U003153, 0115U003085 , R & D reports

Title

Scientific and methodological support competence oriented teaching mathematics in high school at the core level

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Head

Нlobin A.I.,

Registration Date

20-01-2017

Organization

Institute of National Pedagogics at the Academy of Pedagogical Sciences of Ukraine

Description

The essence of interdependence in mathematics course content and profile school and the students’ way of thinking was found: the level of content (standard, academic, profile) projects a certain type of thinking (mostly empirical or theoretical) and, conversely, the latter is taken into account in the content selection. Student’s thinking is realized in their training activities, which includes motivational, semantic, procedural and operational, prognostic components. Depending on the content of components in training activities theoretical (rational contents) or empirical (sensual - subject) synthesis dominated. It is found that the general psychological and methodological requirements for the development of educational texts, system problems and analytical tools of mathematics textbooks are the following: forming a positive self-concept of the individual of a student (conscious and unconscious perceptions of themselves on which they base their training activities); creating situations for success (subjective mental states meet the consequences of intellectual work that activates individual learning opportunities, providing emotional and value attitude to the objects of knowledge); taking into account the peculiarities of perception and data processing of verbal and nonverbal nature (logical and visual unity in the mathematical preparation of students by combining logical rigor of reasoning and visual aids using various models); teaching mathematics in two planes - direct education and training in the background (propaudetics and indirect learning where accumulated intuitive pre-awareness, acquired experience of subject-specific practical action); ensuring adequacy of practical experience thinking image (right abstraction from the properties of real objects in order to ensure the transition from thinking of items to appropriate visual images); enrichment is not purely mathematical, but also general cultural potential of students (formation and development of students' thinking, their scientific outlook, skills of cause and effect, to justify the assertion to evaluate the real situation); line content of textbooks features in theoretical and empirical generalizations in the training of students proved that mathematical competence forming and developing students throughout the period of schooling and not only the lessons of mathematics, but also in the study of all subjects, primarily natural cycle in extra-curricular and extracurricular work; each of the educational levels, development of students' mathematical competence components becomes different priority depending on the age and personality changes, pupils’ peculiarities; the distinctive features of the formation of mathematical competence of senior profile school were found, in training for leader goes students mastering more general mathematical skills and qualities, including mathematical thinking, mathematical reasoning, mathematical formulation of the problem, mathematical modeling, using mathematical language, communication skills, use modern information technologies; expansion of mathematical competence is due to the deliberate formation of skills of students to formulate the mathematical problem independently by analyzing various training and real situations and creating conditions for the development of students' self-solving experience not only mathematics, but also cognitive, communicative, organizational and other problems ; system competence training in high school paramount importance of goal-setting, which is displaced on what he wants to achieve in the classroom by a teacher to student needs, giving importance to gradually transfer the students with the state of the object in the position of the subject of training, create favorable conditions for expression and development of their natural abilities. The structure, educational content and methodical apparatus of the textbooks on algebra and geometry and the test for high school were determined; the manuscripts of some sections were prepared; experimentally accessible to students 10 and 11 classes of task and theoretical content material these manuscripts, the effectiveness of organizational forms, methods, techniques and tools of teaching mathematics in the senior profile school in conditions of realization competence approach. The result confirmed that the proposed content of textbooks ensures effective mastering by students and key mathematical competence we implemented in textbooks and methodological device provides differentiated learning effective organization of independent work of prepared, as well as design and research of high school students.

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Бурда Михайло Іванович
Васильєва Дарина Володимирівна
Волошена Вікторія Вікторівна
Глобін Олександр Ігорович
Паньков Андрій Вікторович
Сердюк Елла Геннадіївна