Ambrozyak O. Organization heuristic activity of pupils secondary and high schools in the process the formation of geometric concepts

Thesis is theoretical - experimental investigation of problem organization of heuristic activities pupils during the formation of geometric concepts at school. There has been proved necessity of forming of pupils of 7 - 11 forms of heuristic activity techniques during the formation of geometric concepts, there has been found out essence, structure and psychology and pedagogical background for such activity formation. The problem of the organization of heuristic activity of students in grades 7 - 11 during the formation of geometric concepts in the classroom school geometry course in psycho-pedagogical, scientific-methodical, educational literature and practice of teaching mathematics; consider the features of the formation of geometric concepts and selected stages of the process, clarified the nature and structure of heuristic activity aimed at forming concepts; characterized by psychological and pedagogical preconditions and proposed methodological requirements for the organization of heuristic activity students of 7 - 11 forms during the formation of geometric concepts. There were formulated methodical requirements to selection of aims, sense, methods, organization forms, methods of heuristic teaching of mathematics which promote learning of students in geometry and contribute formation and development of heuristic skills of pupils of 7 - 11 forms during the learning of geometry. Within the framework on educational process on the geometry suggested heuristic to organize activities of students at each of the four stages of the formation of concepts (motivation, assimilation, consolidation, application) through work with heuristic-based systems tasks within each stage. This activity aimed not only at the formation and assimilation of knowledge of geometric concepts, but also to create a new system of actions in the process of finding a solution of educational problems, that results in the activation of cognitive, creative and organizational qualities of the students, the formation and development of their heuristic skills significant for future work in any industry. Organize this activity and manage her proposed in the system of heuristic learning mathematics. In this case, the objectives of learning are complemented of heuristic skills. For realization of made methodical system there have been worked out lessons with heuristic components, heuristically-oriented tasks to form geometric concepts which are presented in methodical manual for teachers "Heuristic learning mathematics: the concepts of geometry" and computer - oriented management of the process of forming concepts of school geometry course, which is presented in form of system of computer - oriented lessons using heuristic - didactic constructions and electronic aids for teachers "Heuristic learning the concepts of geometry" and electronic aids for students "Learning the concepts of geometry". Organization of heuristic activity on the formation of geometric concepts implements during the lesson in the classroom and during self-home preparation pupils. To implement this approach helps systems of heuristic hints of varying degrees of detail, allowing each pupil to conduct research concepts and at the same time get the same results regardless of their level of achievement. Developed heuristically oriented technique the formation of geometric concepts allows to provide an individual approach to learning and development of pupils, which affects the improvement of the general and mathematical development of pupils and leads to higher quality mastering geometry and the ability of students of 7 - 11 forms own to explore concepts of geometry and operate them correctly. Qualitative and quantitative analysis of the results of the investigation showed the effectiveness of the proposed method.