MamaraimovBekzod Qodirovich Teacher of mathematics at theTerdu Academic Lyceum. MusurmonovMarufAkromugli Teacher of mathematics at theTerdu Academic Lyceum.

Аннотация

In mathematics, motion problems, especially in the areas of kinematics and dynamics, help students understand the changes in physical systems over time and space. This article reviews various pedagogical methods and strategies for effectively teaching students the process of solving motion problems. The aim is to develop students' mathematical thinking and problem- solvingskillsusing an analytical approach tosolvingproblems and practical examples. Keywords: Motion problems, kinematics, dynamics, teaching students, mathematical thinking, problem solving, pedagogy, analytical approach. Uzbekistan is a country that has been developing greatly in the field of science and culture since ancient times. In particular, such disciplines as astronomy, mathematics, medicine, chemistry, history, philosophy, linguistics, literary studies, as well as sculpture, weaving, ceramics, glassmaking and other professions are widely developed. Current Uzbek scientists actively study the scientific heritage left by thinkers of the distant past and enrich science with their new discoveries, making a worthy contribution to the development of world science. Mathematics is divided into two complementary parts: theoretical science, which deals with internal mathematical structures, and applied science, which provides its models to other sciences. Physics, chemistry, astronomy, engineering systems, forecasting and logic always use mathematical apparatus. With the help of mathematics, discoveries are made, patterns are found, events are predicted. The importance of mathematics in human life is incomparable. Knowledge of basic mathematical laws helps to learn any profession in the modern world. For example, financiers, astronomers and biologists use mathematics in various fields, for example, in financial operations. They use it to increase, track distances, or understand genetic mutations. Mathematics also helps in engineering and programming. Mathematics is needed not only for professional study, but also in our everyday lives. In order to understand the structure of our modern world, it is very important to learn to solve simple and complex problems, add, subtract, and multiply. This knowledge develops thinking and thinking and changes our attitude to the world. Starting to study mathematics at school and institute prepares students for independent thinking and problem solving. Teachers and parents play an important role in supporting students in this process, which helps students master knowledge and develop interest init. Mathematics plays avery important rolenot onlyin obtaining aprofession, butalso in improving the ability to think and think independently. It teaches a person to identify, correct mistakes, and solve difficulties. Collaboration between parents, support from teachers, and mastery by students all contribute to the development of our mathematical lives. Of course, independence, decision- making, responsibility, and the absence of fear of mistakes are not only developed in algebra and geometry lessons. However, thesesubjects cultivatequalities that play an importantrole in life. Mathematics is also very important in the industrial sector. Machine structures and technical https://ijmri.de/index.php/jmsi volume 4,issue3,2025 769 factors work on the basis of mathematics. Young students need to learn mathematics for their professional development in the industrial sector. Mathematics is important for young students in every aspect of life. This subject helps them develop their abilities and capabilities and provides them with good preparation for professional leadership. It can also help them master mathematical concepts and analyze them every day. Therefore, it is very important to study mathematics andprepare well for it. The importance of the problem in teaching mathematics is very great, and in this regard, it is advisable to use practical and non-standard problems in the educational process to increase students' interest in mathematics, form basic and scientific competencies. Solving such problems develops logical observation activities such as analysis, synthesis, analogy, generalization, deduction and induction in students, as well as qualities such as intuition, flexibility and adaptability, and teaches students to think critically about the results obtained. In some cases, the solution to practical and non-standard problems may not be found immediately, but only after several attempts, which allows for perseverance in achieving this goal, that is, the development ofsuch very important qualitiesas willpower. Thegeneral educational goal of teaching mathematics sets thefollowing tasks: a) to provide students with a system of mathematical knowledge based on a certain program. This system of knowledge should provide students with sufficient information about mathematics and prepare them for studying higher sections of mathematics. In addition, based on the program, students should learn to check the reliability of the kn