The Principle of Control by Diagnosis – the Fundamental Principle of Computer-based Learning Process Intellectualisation

The paper is aimed at studying new methods of teaching students in the conditions of modern requirements in education. Effective methods of assessing students’ performance are analysed in the article. The authors propose a method of evaluating students. The problem of introducing intelligent computer systems in the process of teaching students to perform calculations is considered. The procedure of diagnosing the correctness of solving systems of equations on the example of solving an equation by the Cramer method is considered. The peculiarity of the approach is illustrated on the example of solving the system of two linear algebraic equations. The result is obtained in the form of a dichotomous tree, which allows to identify student’s errors made when performing algebraic operations. The results of theoretical research on the possibility of applying the principle of control by diagnosis in the process of computer-aided teaching of knowledge and skills of performing calculus operations are presented.