METHODOLOGICAL ASPECTS OF STUDYING COMPLEX NUMBERS IN THE SCHOOL COURSE OF ALGEBRA AND BEGINNINGS OF MATHEMATICAL ANALYSIS IN 10-11 CLASSES OF INNOVATIVE EDUCATIONAL INSTITUTIONS

Abstract

Complex numbers are widely used in a variety of fields of mathematics, hydrodynamics, aerodynamics, electrical engineering, and many others. The system of complex numbers remains less familiar to the reader than the system of real numbers, although it actually has many very good properties. The article is devoted to a problem of studying complex numbers in the school course of algebra and the beginning of mathematical analysis for 10-11 grades of innovative educational institutions. The main objective of this study is to examine the methodological aspects and the scheme of studying complex numbers in the course of algebra and the beginning of mathematical analysis in 10-11 grades. Complex numbers are introduced in connection with the following task. Solve the equation x2 +1=0. In the article, the researchers solve this problem by approaching it gradually and revealing the main stages of studying complex numbers in the school course of algebra and the beginning of mathematical analysis.