THE ROLE OF MULTILEVEL MODELING OF PROBLEM IN THE PROCESS OF PHYSICS TEACHING

This paper is devoted to the role of multilevel problem modeling in a physics course. The usefulness and importance of such an approach for analyzing physical problems are presented. Important patterns of motion of a body falling to the Earth without an initial velocity are discussed. The main physical factors that have a significant effect on the body’s motion are presented. These are the dependence of the gravitational force acting on the body from the Earth on the height and the presence of air resistance. A general problem is formulated for a falling body, which is considered within the framework of three models, which is the scientific and pedagogical novelty of this work. First, the simplest model is considered, when the gravity force is considered constant, and there is no resistance. Then, the problem of falling in the case of the influence of the resistance force, which has a directly proportional dependence on the speed, is discussed. In the end, the problem of a body falling from a great height is discussed, taking into account the dependence of the acceleration of gravity on the height. The mathematical apparatus is used that corresponds to the students’ knowledge, and interesting and important applications of the Taylor expansion are shown. It is shown that in cases where it is difficult to apply analytical methods, computer software for mathematical calculations can also be effectively used in teaching.