Simulation of generation and adaptation an educational plan based on the requirements of the federal state educational standard and the student model

The article presents the development of a model for generating and adapting an individual educational plan for distance learning based on the requirements of the Federal State Educational Standard (FSES) and the student model. A systematic approach with a multi-agent structure is used, including subsystems for initializing the student's model, planning the educational process, and evaluating the assimilation of material. The student's model takes into account preferences, goals, and progress, which makes it possible to adapt the educational plan based on the competencies being formed and the requirements of the standard. The quantitative characteristics of the educational process are formalized, such as the time to study, the form of final control, as well as the coefficients of similarity and discrepancy between student preferences and the requirements of the Federal State Educational Standard. The author applied an optimization model to minimize time and maximize the effectiveness of the plan, taking into account the connectivity of courses represented by an oriented graph. Special attention is paid to the consideration of conflicts of interest between the individual preferences of the student and the mandatory requirements of the Federal State Educational Standard. The results of the conducted research show the possibility of effectively creating an adaptive educational plan that meets the regulatory requirements and individual characteristics of students, which contributes to improving the quality of distance education. In conclusion, the author draws a conclusion about the criteria for effective modeling of the educational plan.

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