Model for matching portraits of teachers and trainees

The relevance of this work is due to the need to take into account the personal qualities of teachers and students in the organization of the educational process. The importance of solving this problem is determined by the possibility of forming individual learning paths for students. A set of characteristic features of the teacher forms his professional psychological and pedagogical portrait. The totality of the student’s personality traits forms his psychological portrait. A joint portrait of the teacher and student shows the qualities of both and characterizes their joint activity in the educational process. To describe the portraits, the article developed a mathematical model based on the generating automaton grammar. The principles of building a model of a dynamic portrait are formulated. The characteristics of portraits are defined: volume, weight, significance, importance, mass. For each characteristic, the speed of its change over time is considered. The concepts of activity and efforts to change the activity of the portrait, the complexity of the portrait, and the vector space of the complexity of portraits are introduced. As an effective characteristic of a portrait, work on changing the activity of a portrait and changing the mass of a portrait is considered. Graphical representations of portraits use graphs of a tree structure. To illustrate the results, a specific example is considered. The results of his decision are presented graphically. For the portrait represented by the graph of the tree structure, the characteristics of connectivity, depth, complexity, quality are used.

1. Andreeva E. V. A modern university teacher through the eyes of students. Alleya nauki. 2018; 5; 4(20): 874-876.

2. . Bulatova D. S., Kazbekova A. A., Liberman Ya. L. Modern student of a technical university: elements of a psychological portrait. Pedagogical Education in Russia. 2016; 4: 87-92.

3. Nikolaeva L. V., Savvinova R. V. Interaction between teacher and student as a condition for the effectiveness of professional training of future specialists.. Sovremennye naukoemkie tekhnologii. 2015; 12(2): 351-354. Доступно по: https://toptechnologies.ru/ru/article/view?id=35270 (дата обращения: 04.07.2020).

4. Breslav G. E., Maslova Ya. L. Dynamics of students' ideas about the “ideal” teacher. Nauchno-metodicheskii elektronnyi zhurnal «Kontsept». 2017; 21: 6-10. Доступно по: https://e-koncept.ru/2017/770409.htm (дата обращения: 04.07.2020).

5. Babad E., Avani-Babad D., Rosenthal R. Prediction of students’ evaluations from brief instances of professors’ nonverbal behavior in defined instructional situations. Social Psychology of Education. 2004; 7: 3-35.

6. Buchert S., Laws E. L., Apperson J. M. et al. First impressions and professor reputation: influence on student evaluations of instruction. Soc Psychol Educ. 2008; 11, 397-408. https://doi.org/10.1007/s11218-008-9055-1.

7. Murphy N. A., Hall J. A., Colvin C. R. Accurate intelligence assessments in social interaction: Mediators and gender effects. Journal of Personality. 2013; 71(3): 465-493.

8. Kovalsky R. M. Impression management: a literature review and two-component model. Psychological bulletin. 2013; 107(1): 46-58.

9. Ganicheva A. V. Assessment of psychological and pedagogical portraits of teachers and students. Economical and humanitarical researches of the regions. 2018; 5: 30-33.

10. Ganicheva A. V., Ganichev A. V. A mathematical model of the relationship of individuals. Nauchnoe obozrenie. Mezhdunarodnyi nauchno-prakticheskii zhurnal. 2018; 3: 4.

11. Ganicheva A. V., Ganichev A. V. Mathematical models of scenes and learning scenarios. 2019; 4 (44): 104-116.