Analogy of calculation of moment of inertia and electric field value for point and linear objects

Buza O., Chepok O. Methodological features of preparation for solving problems with parameters during preparation for NM in mathematicsProblems with a parameter are an integral part of the National Multi-Subject Test (NMT) in mathematics, but they often cause difficulties even for those students who study mathematics at an advanced level.In our opinion, the main reason for such difficulties is the lack of a systematic approach to solving such problems, as well as the insufficient amount of time allocated for their study in the school mathematics course.That is why it is important to develop an effective system of preparation for solving problems with parameters, which will allow students to better master this material and, accordingly, obtain high results in the NMT.This work considers both theoretical and practical aspects of solving problems with parameters.In the course of the study, an analysis of current mathematics curricula, as well as the NMT program, was conducted, which made it possible to determine the level of presentation of the topic of problems with parameters in the educational process.In addition, existing classifications of problems with parameters and methods for solving them were studied and generalized, which contributed to the systematization of approaches to solving such problems.A comprehensive approach to preparing schoolchildren to solve problems with parameters was developed, which combines systemic analysis, regular practical training and the development of effective solution strategies.The most effective teaching methods that contribute to the development of logical thinking and improvement of skills in working with parameters were identified.The implementation of such an approach allows not only to improve understanding of the topic, but also contributes to increasing the overall level of mathematical culture of students, which is an important aspect of their preparation for the NMT.