A Mathematical Model of Organizing the Developmental Instruction in the System of Professional Education

Abstract

One of the most important tasks of vocational education is to increase the intellectual potential of students, as this allows them to increase their competitiveness and demand for the labor market. The use of a competence-based methodological approach allows analyzing the processes taking place in the system of professional education and optimizing them. Within this study an original mathematical model of developing education was considered, which allows the decomposition, formalization and multi-criteria optimization of the learning process, and raise of its efficiency and effectiveness. Within the framework of the presented model, the key indicators of competency formation, the approaches to the organization of students' individual work are presented. An adaptive developmental education system was formulated and substantiated based on the conducted formalization of educational processes and the use of mathematical modeling methods, the methodology for designing. Successful solution to the problem of developing education optimization will provide the needs of the employer community for trained professionals, and students for high-quality, competitive education. The presented models and methods were used for the practical implementation of the information system of the score-rating system of a higher educational institution. The scientific results presented in the work can be used in the development and implementation of information systems for the management of vocational education, which will improve the quality of the educational process.

Keywords

• adaptive control system for creative self-development
• mathematical modelling
• professional education, system analysis