# THE INVESTIGATION OF PUPILS CAPACITY BUILDING IN RELATIONS WITH TEACHERS

T.A. Chu^{1},

T.L. Nguyen^{1},

T.C.L. Tran^{2},

C.P. Tran^{3}^{ 1}Institute of Physics, Vietnam Academy of Science and Technology (VIETNAM)

^{ 2}Hue University's College of Education (VIETNAM)

^{ 3}The Vietnam Institute of Educational Sciences (VIETNAM)

It is well-known that the evolution of students’ learning process should reflect the correlation between learners, teachers and all other factors of an educational institution, for example, of a school. Understanding whole picture of correlations in details with the effects of each factor is impossible in theory, and also in practice, because of large number of considerable arguments. However, within the terms of theory of complexity, it is possible to simplify this complicated system to solvable model with two interacting collective modes in which one is students’ mode and other is of the rest. In practice, the students’ mode is observable by mean of time-series evaluation results, but the latter could not be observed. In this research, a two-mode model is proposed and developed to investigate an inverse problem where the time-series distribution of students’ mode is practically obtained and the effective correlation and host mode are under consideration. This problem is thankfully solvable in the proposed model. To verify the validity of the model, the method has been extensively applied on the data collected in Vietnam highschool examinations. The resultant analysis shows good agreements with other research projects on this field of interest, however the newly proposed model is simple, and time and cost effective.