APPLICATION OF THE PROBLEM APPROACH IN TEACHING IRRATIONAL EQUATIONS IN THE HIGH SCHOOL

Abstract

The peculiarities of applying the problem approach in the context being implemented are considered, and the irrational equations of search for solutions to the problem situation, by forming regulatory universal learning actions of high school students, which can improve understanding of the material they saw.

Formulation of the problem. Analysis of the current performance of high school students and the results of external independent assessment in mathematics indicates the need for changes in the system of teaching mathematics, especially high school. High school students are losing interest in mathematics due to the lack of understanding of the application of their future knowledge. Successful self-realization in a modern globalized society requires certain knowledge of mathematics, and if you choose a future profession related to the latter, you need more thorough knowledge in mathematics using innovative learning technologies that contribute to the formation of a high level of practical competencies. The application of the problem approach, in particular in the study of irrational equations and inequalities, in high school is given little attention, even in classes with in-depth study of mathematics.

Materials and methods. To achieve the goal of the proposed article, empirical methods were used, namely: observation of the educational process of high school students during their studies in general secondary education institutions and analysis of the results of their achievements both during training and passing the external evaluation. In addition, the methods of scientific cognition were used: comparative analysis to clarify different views on the problem of determining the directions of research; systematization and generalization for the actual formulation of conclusions and development of recommendations; generalization of the pedagogical experience of the authors and their observations.

Results. Teaching mathematics in high school requires modification of standard methods and approaches, and therefore the paper reveals the features of the problem approach in introducing the concept of "irrational equation" and solving irrational equations using interdisciplinary links. It is emphasized that the problem approach requires the ability to conduct research on various real situations and knowledge of theoretical material.

Conclusions. Using a problem-based approach to teaching math in high school changes the way we study and teach. In addition, this approach ensures the comprehensive development of personality and directs high school students to further research in mathematics. The proposed tasks will be useful for both students and teachers of general secondary education institutions.