Modeling of influence among the members of the educational team

V. V. Mazalov ; Yu. A. Dorofeeva ; E. N. Konovalchikova

Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 15 (2019) no. 2, pp. 259-273

Résumé

We study the problem of determining the rating among members of educational groups of different levels: secondary schools, colleges, universities. Models of ratings of teachers and students are described. The method is based on the DeGroot model using an influence matrix calculated for different types of educational groups are represented by principals and students. In the process of training, the participants of the educational team influence each other by discussing issues, exchanging views, etc. For the principal, feedback from students is important, which is the degree of influence. It is focused on in this work. Another important aspect is the weight of the participants in the team. It is determined by the limit vector for the matrix. Submitted to the consideration of several scenarios, namely: the training team with one or two principals and various subgrops students according to level of training. The influence of the principal in different scenarios also varies. It can affect all participants in the same way or in different ways. It depends on the rating of students. The interpretation of the obtained values of ratings is offered, the results of numerical modeling for various matrices of influence are given. The presented model can be used to determine the professional orientation of any educational group at different levels of education — school, college, university.

Détail

Keywords: rating, educational team, reputation model
Mots-clés : influence matrix.