МОНИТОРИНГ МЕТОДА ВТОРИЧНОЙ АРИФМЕТИКИ В ПРЕПОДАВАНИИ МАТЕМАТИКИ В СИСТЕМЕ ВЫСШЕГО ОБРАЗОВАНИЯ

Аннотация

This article examines the methods of solving decision-making problems based on the arithmetic mean method in creating a comprehensive knowledge system to enhance teachers' knowledge levels. The aim of this article is to develop a more flexible methodology for assessing ratings based on the fuzzy arithmetic mean method in evaluating the quality of knowledge while implementing innovative teaching methods. Keywords: Mathematics, pedagogy, quality of education, level of knowledge, arithmetic mean, principles, norms, innovative teaching methods, assess Kamal Ilalovich1, 2 Aziza Azatovna3 1Ajiniyoz nomidagi Nukus davlat i 2Ajiniyoz nomidagi Nukus davlat i, 2-kurs magistranti 3Ajiniyoz nomidagi Nukus davlat - metodi asosida qarorlar qabul qilish i arifmetig metodiga Matematika arifmetig, printsiplar, normalar, i 1 2 , 3 1 2 - 3 - 454 P mavzusidagi Respublika ilmiy-amaliy anjuman materiallari. Namangan 2025-yil. Introduction. Defining priority areas for the systemic reform of higher education is one of the key tasks. This includes elevating the process of training highly qualified personnel with modern knowledge and high spiritual and moral qualities who can think independently to a qualitatively new level. It also involves modernizing higher education and developing the social sphere and economic sectors based on advanced educational technologies. From this perspective, several aspects require attention in the higher education system's mathematics teaching. These include developing algorithms for selecting appropriate teaching methods for specific topics, calculating statistical assessments based on decision-making algorithms to improve the effectiveness of educational content, and organizing an effective mathematics teaching process. To achieve these goals, it is necessary to improve the content, principles, and standards of mathematics education [1- 2]. When implementing tasks defined in other regulatory legal documents related to this field, and taking into account the aforementioned responsibilities, professors and teachers should be able to select innovative educational technologies relevant to the content of education in the teaching-learning process, design lesson plans and technological maps, apply the educational objectives set in them in practice, and organize student-centered education based on the age, psychological, and ergonomic characteristics of students. Analysis of the literature on the topic. As noted by the foreign scholar Falin I.N., the use of terminological labels that are completely incorrect from a scientific perspective, attached to some technologies (such as the collective teaching method, the method of Ukrainian scientist Shatalov, and Waldorf pedagogy), is common in pedagogical practice. However, he argues that it is not always possible to avoid terminological ambiguities that are difficult to understand [5-6]. Research methodology. In order to enhance educational performance, we will examine various types of assessment methods for evaluating students' acquired 455 P mavzusidagi Respublika ilmiy-amaliy anjuman materiallari. Namangan 2025-yil. knowledge, skills, and abilities. We will present some cases of achieving high indicators in the educational process through the application of these diverse assessment techniques. Analysis and results. Decision-making system based on the arithmetic mean method in teaching mathematics in the higher education system: The principles and norms of decision-making based on the arithmetic mean method in organizing the process of effective teaching of mathematics, calculating statistical assessments based on decision- making algorithms based on data to improve the effectiveness of educational content, are formed as follows. Participate in the lecture. When assessing attendance, it is possible to calculate the arithmetic mean of all available attendance: nm m i M i 1 n m Here is the number of lectures; --i-lecture attendance cost. Workshop Activities. Assessment of activities at seminars is also conducted in a similar form: 456 P mavzusidagi Respublika ilmiy-amaliy anjuman materiallari. Namangan 2025-yil. nS S i C i 1 n S Here is the number of seminars; assessment of activity at the -i-seminar. Execution of control work. Assessment of the completion of control works is carried out taking into account the complexity coefficient established for each work. These values are significant relative to the weight coefficient and are intended to set a higher level when accounting for the performance of complex work compared to simple work. nt t t c i i T i 1 nt t c i i 1 Here is the number of control works; is the grade for completing the work, - is the complexity coefficient of the work. The aspects of modeling and comprehensive research on the effectiveness of students' knowledge based on the fuzzy-logic method are considered. Conclusion. The study formulated effective control methods for students' acquired knowledge, skills, and abilities related to algorithms f