Keyword: «fuzzy modeling methods»

Improving the forms and methods of assessing the level of development of students’ professional competences during a demonstration exam, obtaining accurate, subjectivistic expert assessments and converting them into managerial decisions to adjust students' individual educational trajectories is an urgent pedagogical problem. The aim of the article is to summarize the theoretical provisions of the scientific research conducted by the authors on this issue, to evaluate the results of experimental work, including methods and algorithms for objectively assessing the level of formation and development of professional competences in students during intermediate and final attestations, and to develop management solutions to adjust the student's individual educational trajectory depending on the results shown. We solve this task based on the general principles of the competence-based education paradigm and the pedagogical concept of organizing e-learning at a university. The level of development of students’ professional competences during a demonstration exam is assessed by an expert using a variety of linguistic variables. Linguistic variables are then mapped onto quantitative scales, which makes it possible to eliminate ambiguities by converting expert estimates into precise quantitative values of the membership function using the mathematical apparatus of fuzzy sets. Having presented the student as a fuzzy set of values of the membership function and having a reference fuzzy set of values of the membership function, we compare the achieved and reference values of the development level of students’ professional competences. Based on the results obtained, a variety of management solutions are developed to correct the student's individual educational trajectory. A pilot study was conducted on the basis of the Voronezh State Pedagogical University and the Azov State Pedagogical University named after P.D. Osipenko. The results obtained have shown the high pedagogical validity and effectiveness of the proposed method, which is the basis for its practical implementation in virtual educational environments and digital platforms of educational institutions. The introduction of the methodology and algorithm proposed by the authors for an objective assessment of the level of formation and development of professional competences in students during intermediate and final attestations into the practical work of educational institutions at various levels makes it possible to increase the effectiveness of demonstration exams and the educational process as a whole, optimize the educational process, ensuring that students achieve their individual educational goals.