USING APPLICATIONS OF THE DEFINITE INTEGRAL TO GEOMETRY IN THE DEVELOPMENT OF INTERDISCIPLINARY COMPETENCE IN STUDENTS

Abstract

The form and content of national education are of great importance in training young people to become specialists who can meet the requirements of the time. This encourages the organization of the educational process in modern methods and new forms based on independent knowledge acquisition. Radical reform of education and upbringing in the national curriculum: introduction of advanced pedagogical technologies; The dependence of teaching on advanced pedagogical technologies, the creation of modern educational and methodological complexes and the didactic provision of the educational process is shown. In our republic, special attention is paid to the fact that the innovative approach in educational institutions, the widespread use of modern pedagogical and information technologies, relying on active and interactive methods and interdisciplinary connections, is directed at the student. In particular, the issue of the application of the definite integral in mathematics to geometry places a great responsibility on the teacher. In teaching mathematics in secondary schools, it is good to interest students in science, use lessons on a demonstration basis, and apply them to other subjects. Mathematics is a deductive science that studies the world quantitatively. The formation of competencies in the lessons of the definite integral in mathematics and its application to geometry demonstrates the connection between school subjects. Students develop interdisciplinary competence, spatial imagination and logical thinking. In the application of the definite integral to the calculation of areas and volumes, the methodology of studying definite integrals, which is known to us in advance from geometry, played an important role in determining the formulas for finding areas and volumes, and in studying the results obtained during the solution of problems. The formulas and results obtained using these methods further increase students' interest in mathematics, the definite integral and its application to geometry.