MANAGEMENT OF INDEPENDENT WORK OF PRE-SERVICE TEACHERS IN THE PROCESS OF TEACHING INFORMATICS WITH THE USE OF COMPUTER MATHEMATICS SYSTEMS

Abstract

Students’ independent work is the main and one of the important forms of organization of the educational process in higher education, and therefore requires special attention. On the other hand, the training of a specialist capable of independent professional self-improvement throughout life is a requirement of today’s fast-changing informatized society. One of the methodological areas of studying students’ independent work is research on its management. After all, the characteristics of students’ independent work are their independence under the condition of indirect direction, operative and systematic control, educational and methodical support by the teacher. The paper is devoted to the research on didactic opportunities of using computer mathematics software in relation to the management of independent work of pre-service teachers in the process of teaching computer science, in particular numerical analysis. The following free software tools of high scientific and methodological popularity, both among domestic and foreign researchers, have been chosen for analysis: Gran1, Gran-2D solvers; Wolfram|Alpha computational knowledge system, SageMathCloud cloud-oriented computer mathematics system. In addition, the paper concerns the use of Python programming language, which is provides powerful tools for performing scientific and engineering calculations. Besides, there is presenting of the main areas of application of numerical analysis of the considered software and the methods, which are the basis of execution of some software commands. Features of students’ independent work are considered by the example of training of numerical analysis course, that includes strong interdisciplinary communication and promotes creative and research skills of pre-service teachers. The paper also considers an example of solving the problem of function interpolation as one of the most common methods for polynomial approximation in the course of numerical analysis. The proposed software can be used at different stages of management of pre-service teachers’ independent work in the process of teaching numerical analysis.