Pedagogical cybernetics, Technical cybernetics, Feedback strategy, Adaptive control strategy, Educational process, Linear algebra, Free-Available-Software-Support, Professional-Preparation of teachers

The pedagogical cybernetics has been widely researched corresponding to the modern educational approaches. However, it can be advantageous to complement this theory using the approaches from the technical cybernetics. The particular aspects of the educational processes can be modeled in the general feedback strategy. In the previous research of author of this paper, the modified approach of the feedback strategy, extended using principles of the adaptive control strategy, was proposed for the practical utilization in the pedagogical cybernetics. In this paper, this principle is further improved by aspects of the offline part of the adaptive control strategy. This connection between the pedagogical and technical cybernetic rules is discussed and concretely implemented in favor of the educational process of the foreign students, respectively of the future teachers, at the departmental offered foreign language course of the linear algebra. For purposes of the modern based educational approaches, the information technologies are included in the proposal in this paper in favor of didactics of the mathematical courses.