THE FORMATION OF GENERALIZED WAYS OF MATHEMATICAL ACTIVITY OF STUDENTS IN THE PROCESS OF SOLVING PROBLEMS

The change of the purposes, tasks and technologies in education demands changes in the systems of training of students. The purpose of education is to prepare students for the future participation in the activities of the society, while the content of education is the development of general methods of the human activity. A person should be taught how to generalize and analyze the information rather than mechanically memorize it. In the article the author suggests several approaches to solving this question: the author represents a system of activization of the student ̉s cognitive independence in the educational process in the process of solving mathematical problems and the factors that promote the development of thinking of school children in the context of the reform of education. The aspects of the educational support of students are highlighted and revealed. The special role of the teacher in shaping the creative development of the individual is emphasized. It is analyzed what the teacher has to do in connection with this. The methods of teaching of mathematical concepts, stimulating the transition to a higher level of development of a student ,s readiness for independent are offered. The ways of organizing the activity during the lesson are considered. The article introduces the results of control and test work, as well as questionnaires. The results of the investigation have shown the efficiency of the system of activization of student ̉s cognitive independence in the educational process.

educational process, educational support, the role of the teacher, mathematical problems, mathematical abilities of students