THE ROLE OF MATHEMATICAL METHODS IN PEDAGOGICAL RESEARCH

Abstract

There is an opinion that any science becomes a real science when it uses mathematics. One may not agree with the categorical nature of this reasoning, but it is practically clear that the use of mathematics in research on statistical material is very useful. Mathematical methods play an important role in the planning and generalization of experimental results. Using this method, it is possible to determine the degree of reliability of similarities and differences between the studied objects based on the results of measuring sample indicators. Mathematical methods for studying complex socio-psychological processes and systems are based on the modern development of probability theory, mathematical statistics, information and communication theory, theory of operations research and programming, computer technology and modeling methods. This method of pedagogical research opens up broad prospects for pedagogy. Their study is necessary because they help evaluate experimental results, provide a basis for theoretical generalization, and increase the reliability of conclusions.

This article discusses the need to use mathematical methods for a reliable assessment of the results of experimental work in pedagogical research. The efficiency indicators of the methods used in the pedagogical research were identified and justified, which, in turn, were characterized by a set of criteria for each component; the main connections between mathematics and pedagogy are revealed, presented in the form of a theoretical model built on the basis of a structural analysis of pedagogical research.