Mathematical model concept for education progress control system

Abstract

The scope of the article is dedicated to the design of the oretical and hands-on investigation of mathematical model concept for Education Progress Control System (EPCS) that might be applied for educational institutions. The versatility of the EPCS lies in its independence from any specific subject content (or related factors), which allows teachers to upload the required course directly to the educational platform, and students to choose an individual courses in order to plan their educational programs for their own. To implement the designed EPCS the hybrid system design approach was chosen, because it combines the advantages of different technologies that allow solving complicated tasks. The well-known fuzzy logic design allows determining the educational content sections, but this approach causes significant difficulties for students. However, the implementation of Kohonen self-organized network (or Self-Organizing Map (SOM) is a computational method for the visualization and analysis of high-dimensional data, especially experimentally acquired information) allows classifying students involved into educational programs provided by the EPCS platform.