Abstract
The transition to e-learning implies the student’s independent setting of the individual educational goal. In this case, the educational platform of the university is used as a pedagogical tool for calculating the optimal educational trajectory and ensuring the student’s guaranteed achievement of the educational goal by organizing the educational process on the specified platform. The main problem here is the formalization of the individual educational goal of the student with programming languages of various levels. The authors propose an algorithm for formalizing the individual educational goal of a student and building on its basis a logical-semantic model of the educational process, suitable for implementation by means of computer technology. It is shown that in the logical-semantic model of the educational process, the individual educational goal of the student can be adequately described by the pedagogical category "Educational situation", which is defined as a set, the elements of which are quantitative values of the level of formation and development of basic qualities of competencies. It is concluded that the educational platform of the university in this case is a set of educational situations of various levels, and the student is the current educational situation. It is shown that the current educational situation and educational situations of the educational platform of the university are equal sets on a single scale, which makes it possible to carry out mathematical operations for comparing sets. Based on the results obtained during the comparison operations, a conclusion is made about the achievement of the educational goal by the student, or the individual trajectory of its achievement is calculated. The description of the pedagogical experiment is given. Based on the data obtained, a conclusion is made about the adequacy of the model to the process under consideration.
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