Formation of Reflection in the Structure of the Research Activity as a Result of Motivation of Schoolchild''s Self-Determination at Mathematics Lessons
Development of ideas of "centering of the pupil" in schoolchildren's training in Mathematics is substantially and technologically coordinated with disclosure of the internal potential and self-determination of the pupil during the research activity. Design and realization of resource lessons as constructs assuming information and procedural integration of two or more subjects in one lesson with dominating management on the basis of expansion of funding procedures and updating of motivation of self-determination may become a form of organization of such an activity. And updating of the reflexive activity of schoolchildren is built against the organization of the research activity in development of Mathematics interacting with subjects of natural-science and humanitarian cycles. The research activity is developed against the definition of functions and stages of cognitive and regulatory processes in the structure of metacognitivizm: goal-setting; monitoring of the process of the solution of the problem; understanding of motivation and selfmotivation; determination of the existing resources available to make the analysis of the problem; selection of relevant strategies and determination of a sequence of actions to implement the purposes; forecast, planning and representation of the end result of the activity; assessment of the productive strategy efficiency and their modification during the research of the problem. Examples of the schoolchildren's practical-focused activity are given.