A APPLIED PROBLEMS IN TEACHING MATHEMATICS TO STUDENTS

Abstract

Abstract. The article highlights the importance of applied mathematics, design teaching, and the widespread use of computational mathematics in higher education to develop the abilities of mathematics students. The goal is to develop and assess applied problem-solving and design skills through interdisciplinary communication in guiding mathematics students toward professionalism. In the empirical method based on experience through the use of analytical geometry, differential equations, and computer graphics, students' understanding of applied mathematics, interest in it, ability to monitor one's own level of knowledge and work on one's mistakes and the development of memory, attention and understanding are important in shaping the process. That is, the course of the lesson with students includes the use of previously acquired knowledge, interdisciplinary connections, and their own theories, as well as observation, description, comparison, measurement, modeling, and literature study.

Project-based teaching is an activity that involves the creation of ideas in the minds of students and their active implementation. Teaching through applied problems based on design education is one of the most valuable achievements in didactics. Among them, the applied direction in teaching differential equations was considered in their works by researchers such as R.M. Aslanov, V.S. Kornilov, B.A. Naimanov, and others. However, in these works, the specific features of design and assessment in teaching applied problems are not observed. This work is based on the preparation for design through applied problems and the evaluation provided in the 2-literature. The prediction of the results of research methods serves as a stimulus for improving the cognitive activity of mathematics students, their own work, and their adaptation to design by considering the use of problems.