The elements of the technology of understanding mastering of an academic discipline
The article deals with the problem of organizing understanding mastering of educational material, which requires the development of new educational technologies that serve to develop the ability of students to self-educate and understand the need for lifelong learning. Understanding mastering of educational material includes the fulfillment of the following conditions: 1) the integrity and consistency of the content and its symbolic representation; 2) the comprehension of logical-semiotic, structural-objective and personal aspects of the meaning of basic concepts and facts; 3) the orientation of the learning process towards gaining personal experience. The article makes an attempt to identify the means that are necessary to comprehend various aspects of the meaning in the process of studying mathematics. The study aims to describe the technology of understanding mastering. The authors of the article point out that this technology can consist of three blocks: 1) goal-setting; 2) the content-procedural block (the structuring of educational material, the choice of specific techniques, forms, methods and means of teaching); 3) the block of reflection with the inclusion of objective methods of monitoring and correcting educational results. The article describes methodological provisions for each block, on the basis of which the technology of understanding mastering in teaching mathematics can be developed.