Smart education analytics: Quality control of system links

Abstract

One of the most important questions in the development of the work of the system of Smart Education is the problem of quality control of its functioning, and therefore the questions of system connections. Links in Smart Education are characterized by different types of assessments, such as exam grades, matriculation certificate obtained at the end of school, ranking assessments, etc. So, to analyze links one needs to use method that can combine qualitative and quantitative characteristics. We propose to study connections of Smart Education System using the method of algebraic formalization. This method makes it possible to describe the hierarchy of system’s structural links, to set off the levels of the system’s links, and to prove theorem on the description of the system’s links of each finite level. Different types of system’s links are singled out. The notion of a factor - fractal system on the links of finite levels are defined. The classification of the system’s links based on the number of synergetic effects of the group of the system’s links of a finite level is constructed. There are several practice applications of this method in the paper. Thus, the justification of Granovetter hypothesis on the connections in social systems has been obtained. The next example relates to Smart Education. The structure of ranking systems for evaluating the effectiveness of the functioning of Smart University is proposed based on the formalization of the process of decomposition of system. Tensor efficiency index is introduced.