No 4 (2025)

the article is devoted to the issues of methodology and methods of linguistic research of the linguistic aspects of traditional beliefs of the Khanty people. The methodology of such research should be based on the principles of anthropologism and interdisciplinarity, which implies, along with the use of linguistic methods, also the methods of cultural studies, folklore studies, ethnology and other sciences studying the traditional beliefs of the indigenous peoples of the North. The relevant linguistic methodology of the study was developed by L. Weisberger and assumes, firstly, the identification and study of the "internal form of language" and, secondly, the study of linguistic units both in statics and in dynamics. Thus, the following should be analyzed, first of all, the substantives of the sacred; verbal vocabulary representing the cognitive-pragmatic aspect of the interaction of reality, thinking and language in the formation and existence of the linguistic side of the mythological-religious picture of the world; phraseological structures; an integral mythological text. The final stage of the study is a cultural interpretation of the obtained linguistic conclusions.

visual identity system acts as a fundamental element of brand image, playing an important role in forming its recognisability and attracting the target audience. The immediacy and interactivity of social media open up new opportunities for visual brand identity. In recent years, the tea beverage market in China has continued to expand, resulting in increased market competition. Many brands stand out through their attractive visual concepts and images. This paper analyses the visual identity of new Chinese tea brands in the context of social media. The aim of the study is to identify the features of expressive means and cultural connotations embedded in the visual identity of the brands. Based on the study of communication content and the use of visual elements characteristic of new tea brands on social media platforms, it is found that their visual identity is a synthesis of Eastern cultural heritage and Western design solutions. There is a tendency towards innovative development on the basis of established elements of corporate identity, active use of bright colours to enhance visual impact, initiation of communication through symbolic interaction and emphasis on consumers' emotions to create a sense of ownership. These characteristics, contributing to the formation of a unique image, provide a close connection with the target audience and distinguish the brand in a competitive market.

the article examines the stories of the national writer of Yakutia, Vladimir Nikolaevich Fedorov. The writer’s works combine the features of realistic, fantastic, and mystical literature. The work explores the elements of poetics of magical realism literature in them. The purpose of the work is to study the poetics of magical realism in the stories of V. Fedorov. In this regard, the following tasks are highlighted: to identify the specific features of the literature of magical realism, to identify the elements of magical realism in the writer’s works, to show their significance. As a result of the research, it is concluded that in the writer’s prose there are such features of magical realism as the use of mythological and folklore elements, distortion of temporal and spatial characteristics of reality, duality, elements of reality acquire symbolic, transcendental meaning.

the presented article is devoted to the analysis of the reflection of the influence of social networks on changes in English and culture in Megan Angelo’s work “Followers” and its translation into Russian. Nowadays social media has the most impact on changes in English and culture. Various new terms begin to appear thanks to them. The lexical and grammatical structure of the language changes both in oral and written speech. The relevance of the work lies in the need to study the changes in English emerging due to the development of modern technologies and the Internet. The purpose of this study is to examine the changes in modern English that have arisen under the influence of social media and the Internet in general. The results of scientific work can be applied in various fields, such as linguistics, translation and cultural studies. They will help to understand better how social networks form new linguistic norms and influence cultural practices.

literary works often contain the deepest emotions of a nation and best express the character of a nation. Based on the historical background of the Second World War, “The Fate of Man” is one of the masterpieces of the famous Russian writer Sholokhov, which depicts the extraordinary past of an ordinary man from the point of view of the lower class people in the Soviet Union, and contains the distinctive ethical values and moral tendencies of the Russian nation. This paper tries to construct the Language and Cultural Field Theory of the novel “The Fate of Man”, analyze the cultural concepts that can reveal the “Russian national character” in the text of the novel, and analyze the concepts of “toughness”, “family”, ‘responsibility’, “social responsibility” and “social responsibility” in the text of the novel. Through in-depth analysis of such cultural concepts as “toughness”, “family”, “responsibility”, ‘religion’ and “ambivalence and extremism”, the author's picture of the fictional world is explained. At the same time, it reveals the characteristics of the Russian national character emphasized in the work and the national cultural connotations embedded in the work.

this study employs an intersectional lens to examine the embodied experiences of Kurdish women porters (known as Kolbars in Kurdish) in Iranian Kurdistan, drawing on journalistic sources. The findings reveal that Kolbar women are victims of interconnected factors, including gender, ethnicity, the rigid patriarchal culture in the region and country, uneven distribution of resources and wealth nationwide, as well as economic sanctions and state decline. They resist these multifaceted forms of oppression by risking their lives to transport goods across mountainous borders, enduring silence, and resorting to suicide when no other options remain. This research contributes to feminist intersectionality discourse by reconstructing the intersectional dimensions of a marginalized, disenfranchised, and understudied population of women in one of the world’s most gender-unequal countries.The study applies an intersectional approach to analyze the plight of Kurdish women porters (Kolbars) in Iranian Kurdistan, exposing the nexus of oppression at the intersections of gender, ethnicity, religion, and economics. Journalistic materials form the empirical basis, documenting the daily struggles of women forced into dangerous cross-border smuggling due to systemic marginalization. The results highlight how Kolbar women face layered discrimination: as Kurds in a Shiite-dominated state, as members of the poorest socioeconomic strata, and as women in a patriarchal culture. Their labor entails extreme risks – from hypothermia and landmines to shootings by border guards. With no alternatives, some turn to suicide as a final act of resistance.

the literary practice of Mikhail Mikhailovich Prishvin encompasses both diaries and fictional works, forming a unique interplay between fiction and non-fiction. This article focuses on Prishvin's 18 volumes of diaries (1905-1954) and his literary texts as the objects of analysis. By examining the relationship between text and reality, the interaction between author and characters, as well as the choice of narrative perspective, the study explores how Prishvin constructs a multifaceted image of “reality” in the tension between fiction and non-fiction. Taking into account the political context of the Soviet Union with its intense ideological pressure, the article reveals the underlying motives of Prishvin's dual strategy: through covert criticism in his diaries and allegorical resistance in his fictional works, he not only preserves the spiritual independence of the intellectual under a totalitarian regime but also responds artistically to the challenges of the era. This practice underscores his dual role as a “chronicler of history” and a “thinker,” reflecting both the wisdom of survival and the moral resilience of the individual under ideological constraints.

optimization of self-educational activities of part-time students in the system of the Ministry of Internal Affairs of Russia as an important condition for enhancing the quality of professional training of highly qualified personnel. Theoretical analysis shows that self-education is an integral component of professional education, particularly in the context of part-time learning, and relies on scientific and pedagogical foundations. Given the limited access to full-time education in the system of the Ministry of Internal Affairs, independent cognitive activity of students requires a comprehensive approach to its organization. The main factors influencing the effectiveness of self-educational activities include motivational and value-based, organizational and methodological, technological, and personal aspects. The key challenges remain the lack of time, insufficient electronic educational resources, inadequate self-organization skills, and contradictions between the requirements for students and the available support measures. As methods of optimization in this study, the development of an electronic educational environment, pedagogical support, individualized learning, and motivational strategies are aimed at increasing the productivity of the self-educational process. The implementation of these approaches in the educational institutions of the Ministry of Internal Affairs of Russia will improve the quality of independent learning among part-time students, contributing to a deeper assimilation of knowledge and the development of professional competencies. Optimizing self-education not only enhances the level of training for law enforcement personnel but also facilitates their adaptation to professional challenges in the face of modern societal demands. This aligns with the objectives of modernizing the education system and meeting the regulatory requirements for training personnel in law enforcement agencies.

this study examines the integration of quest forms into the educational process in the discipline "Physical Training" of cadets and students of educational organizations of the Ministry of Internal Affairs of Russia. The purpose of the work is to increase the effectiveness of the educational process in the discipline "Physical Training" of cadets and students of educational organizations of the Ministry of Internal Affairs of Russia by using quest games. The authors identified in the work The use of quest forms of organizing training sessions allows simulating professional actions in conditions as close as possible to the real conditions of the use of physical force by police officers, thereby creating a quasi-professional educational environment. In the work, the authors characterized the main stages of preparing classes using a quest, their clear regulation, with the development of criteria for assessing the actions of quest participants. Various quest options are characterized. In the work, the authors proved that the use of quest forms of organizing practical classes in physical training will allow not only to develop professionally important physical qualities of students, but also combat fighting skills, as well as to form psychological stability and readiness to use physical force in stressful situations.

the article discusses problematic issues related to the development of optimal forms, means and methods of organizing physical training of the employees of the Internal Affairs Directorate of Russia performing operational and service tasks in special conditions. The purpose of the work is to identify effective means and methods of physical training of the employees of the Internal Affairs Directorate for actions in special conditions. The authors described the means and methods aimed at improving professionally important physical qualities, identified effective ways of using combat techniques, determined the significance and relationship of physical and moral-psychological training of the employees of the Internal Affairs Directorate for the performance of operational and service tasks in special conditions. It has been proven that psychological training of police officers for actions in special service conditions is one of the key factors ensuring their high professional competence and readiness to perform operational and service tasks. An integrated approach to the development of moral and psychological qualities of the employees of the Internal Affairs Directorate will increase their stress resistance, communication skills and ability to withstand negative influences, which, in turn, will affect the effectiveness of their official activities.

the article discusses the problematic issues of training employees of the Ministry of Internal Affairs in applied swimming. The purpose of the work is to increase the efficiency of the training process in applied swimming of employees of the Ministry of Internal Affairs of Russia. Research objectives: to identify the most effective methods of applied swimming when overcoming a water obstacle; to consider the features of teaching methods of overcoming a water obstacle and to select the most effective training tools. In the work, the authors characterized the main means of teaching how to overcome a water obstacle. The authors have proven that the effectiveness of using applied swimming techniques as one of the means of physical training consists in improving the professional skills of police officers and ensuring their safety on the water, as well as after overcoming a water obstacle. Applied swimming helps police officers quickly and effectively respond to various situations related to water, such as rescuing drowning people, detaining criminals on the water or conducting special operations on water bodies.

the work is devoted to the study of problematic issues related to increasing the overall endurance of cadets and students of educational institutions of the Ministry of Internal Affairs of Russia by means of cyclic sports. The purpose of the work: to search for effective means and methods for developing the endurance of cadets and students of educational institutions of the Ministry of Internal Affairs of Russia by means of cyclic sports, using athletics as an example. The authors in the work characterized the importance of independent physical training in the process of improving endurance. The main methods, means and principles of improving endurance are characterized. Recommendations have been developed for improving endurance by means of track and field within the framework of independent physical training of cadets and students of educational institutions of the Ministry of Internal Affairs of Russia. It has been revealed that track and field exercises are the most accessible means of training general and special endurance. The use of such track and field exercises as running and walking during the day will help to increase the performance of police officers, which directly affects the efficiency of their operational and service tasks.

in the presented article, the authors interpret the possible stages of organizing the online educational course "Digital Logistics" in the context of meeting the current needs of the labor market. Today, online courses are especially popular in the educational sphere, and the growing need for highly professional specialists in the field of digital logistics confirms the relevance of the chosen research topic. The current modernity of digital transformation identifies the need to adapt modern educational tools to the needs of the labor market, in this regard, training specialists with new knowledge and skills in the field of digital technologies in the context of increasing the efficiency of the results of economic activity of enterprises is especially relevant. It is an indisputable fact that modern organizations especially need employees who are ready to optimize current production processes, adaptive to the introduction of new technologies and able to analyze a large flow of data, and in this matter, the tool for updating competencies is especially effective. The authors substantiate and present possible stages of organizing the online course "Digital Logistics" as one of the strategically important steps for preparing a personnel reserve capable of ensuring effective work, solving the tasks set by management and increasing the efficiency of the enterprise in the context of digital transformation. The relevance of such a course is determined by the significant benefit from its implementation, including through the optimization of routine processes and making more informed decisions.

the article highlights the relevance of using a special set of attacking actions to train SAMBO wrestlers in sports improvement groups of educational organizations of the Ministry of Internal Affairs of Russia. The necessity of using this complex by athletes with the introduction of attacking schemes is also argued, based on the individual characteristics of SAMBO wrestlers. The following methods were used in the study: analysis of sports diaries of SAMBO wrestlers of sports improvement groups, analysis of pedagogical and psychological literature, generalization of best practices in this area and analysis of literature on the issue under study. Conclusions are drawn about the effectiveness of the methods of special preparatory exercises corresponding to the movement system, as well as the specifics of the sport. The positive results of using tactical and technical complexes of attacking actions in SAMBO fights have been revealed.

the article presents the activities of outstanding teachers of the late 19th century who devoted their service to the creation of the Russian national school: K.D. Ushinsky, the "father of the Russian national school", who laid the foundations of Russian pedagogy; N.I. Pirogov, who had a huge impact on the development of pedagogical thought and developed pedagogical principles used in the modern learning process; S.A. Rachinsky, the author of the concept of "the development of the national peasant school at the end of the 19th century," the creator of an effective educational system at the end of the 19th century, who managed to combine the foundations of spiritual and moral education into one system. The need to make changes to the educational process, giving priority to the nurtured function, is actively discussed by teachers, scientists, and public figures. The preservation of Russia is impossible without a school based on traditional Russian values. If the foundation of national education is not laid in the near future, serious consequences await us in the future – the unifying idea will not be passed on to new generations. When developing new educational systems, the author suggests referring to the pedagogical experience of famous teachers of the past. The novelty of the study lies in the fact that a parallel has been drawn between teachers of the 19th and 21st centuries, expressed in the need to develop the Russian education system, which poses great challenges for teachers in educating the younger generation.

the article is devoted to the study of key trends in the digitalization of pedagogical education aimed at the development of economics teaching. The relevance of the study is determined by the need to prepare educators who possess not only professional knowledge but also skills in working with modern digital technologies in the context of a digital economy. The article examines the theoretical foundations of education digitalization, analyzes the stages of educational environment transformation, and explores the impact of digital technologies on pedagogical activities. Special attention is paid to the current state of economics teaching, where digital tools such as online platforms, simulators, and multimedia resources are actively utilized. The advantages of digitalization, including interactivity, personalization, and accessibility of education, are highlighted, as well as the main problems, such as a lack of digital competencies, insufficient technical equipment, and organizational barriers. Based on the analysis of literature, practical experience, and expert evaluations, the article identifies key trends in the digitalization of pedagogical education. These include the integration of new technologies (artificial intelligence, big data, VR/AR), the development of digital competencies among educators, the transition to hybrid and distance learning formats, and the implementation of microlearning and adaptive learning models. Particular attention is paid to the creation of digital educational ecosystems and the ethical aspects of digitalization. The results of the study can be used to improve educational programs aimed at preparing educators capable of effectively operating in the context of the digital transformation of education.

the article describes the methodology of using exercises on simulators in physical education classes for students with grade 1-2 scoliosis. The paper offers blocks of exercises aimed at spinal column mobility, relaxation of spasmodic back muscles, strengthening of the muscular corset and spinal stabilizers, the main focus is on exercises on simulators that take into account the basic diagnosis, the level of physical fitness and functional capabilities of those involved. The study confirmed the effectiveness of this technique. There was a significant increase in the strength endurance of the muscles of the back, abs and legs among the students.

the article describes various visualization techniques of educational information that contribute to the assimilation of acquired knowledge. Various visualization techniques are analyzed, as well as the role of multimedia materials in the educational process. The effectiveness of these. In modern education, more and more attention is being paid to the use of various methods of visualizing educational information - the process of presenting educational material using graphic, audiovisual and interactive means. Visualization of educational information plays an important role in the development of modern education and allows creating a more effective and interactive learning environment. In pedagogy, this principle is implemented using one of thechniques is investigated and the work. The research methodology is based on comparative analysis, generalization, systematization of theoretical positions, as well as on the analysis of empirical data. As part of the empirical research, a survey was conducted in the questionnaire format, the results of which served as the basis for conducting methodological seminars and round tables of university teachers. The results of the study are analyzed, summarized, and theoretical and practical conclusions are drawn, which take the form of specific practical recommendations. The findings of the study were also discussed at several international scientific and practical conferences. They were summarized to their logical conclusion and presented as practical recommendations, as well as reported at an international scientific and practical conference. The materials of the student and faculty audience surveys can be widely discussed and applied in lectures and practical classes with students of various specialties and fields of study. Traditional methods of information visualization are used in pedagogical practice. These methods include: reference notes, diagrams, tables, plans, detailed questions and answers, presentations, videos, film fragments, simulators, etc. With the development of modern technologies, new visualization tools are emerging – infographics, smart maps, word cloud, timeline, collage, scribing, interactive diagrams, VR (virtual reality) and AR (augmented reality). The use of various visualization techniques helps to identify the relationships between information, and also allows you to make information more accessible and understandable. Visualization techniques support the development of critical thinking among students. They allow you to analyze various data, make comparisons, identify trends, and follow logical reasoning. This contributes to the development of analytical skills and the ability to reason based on facts within the framework of modern professional requirements.

this article provides a detailed overview of digital visualization tools for educational and cognitive material for children with autism spectrum disorders (ASD) who receive elementary general education at school. Attention is focused on the key features of the functioning of the visual sensory system in younger schoolchildren with ASD. The paper considers in detail the theoretical aspects of using digital visualization tools for educational materials for students with ASD attending elementary school. The formation and subsequent development of basic cognitive, motor and basic communication skills among students with ASD in their regular and extracurricular interaction with elementary school teachers through the use of visual support methods is one of the priorities of modern general education. Rational and methodically-based use of digital visualization tools for educational materials will provide younger students with ASD with real opportunities to improve socialization and understanding of the information presented. Through the use of digital visualization tools such as virtual schedules, visual cues, VR applications, videos with social stories, multimedia support during the lesson, Power Point presentations, and virtual guided tours, students with ASD strengthen their knowledge and skills. Introduction: in recent decades, there has been a significant increase in interest in inclusive education, especially in the context of teaching children with ASD. In the learning process, children face difficulties in perceiving and processing information, which requires teachers to adapt educational materials and use special teaching methods. One of the most effective approaches to solving this problem is the use of digital visualization tools. With the help of digital visualization tools, teachers can diversify the lesson and apply an individual approach. In addition, the possibilities of digital visualization significantly expand the prospects of inclusive education. Thus, digital imaging tools play an important role in creating a barrier-free, inclusive environment for teaching children with ASD in elementary school. Materials and methods of research. The research material is based on Russian concepts that study the problem of including children with ASD in the educational process and the use of didactic visual tools that affect the level of perception, understanding and memorization of educational information by younger schoolchildren with ASD. The research methodology is based on the analysis of scientific articles in which this problem is theoretically and empirically substantiated. Research results. In the course of the theoretical study, various digital visualization tools used to teach children with ASD in elementary school were analyzed. The main focus was on the effectiveness of these tools in order to increase understanding of the educational material, improve motivation and reduce anxiety among students. Discussion and conclusions. Visual tools such as animations and graphic design tools significantly improve the understanding of educational material in children with ASD. These tools help to transform abstract concepts into more accessible and understandable forms, which is especially important for children who may have difficulty understanding information in a traditional format.

many higher educational institutions of the Ministry of Internal Affairs of Russia face the problem of insufficient strength training of cadets and trainees, which makes it difficult to master the program of professional applied physical training. This requires the search for new approaches to working with trainees in terms of optimizing the physical training process. One of the key elements of optimizing the educational and training process is an individual approach to strength training of students. This approach involves taking into account the level of physical development of each cadet and developing an individual training program appropriate to his capabilities. The main idea of personalizing the process of strength training for future law enforcement officers is to differentiate physical activity depending on their level of physical development. Due to the difficulty of fully implementing an individualized approach at this stage, we propose to form groups with a uniform level of physical development from cadets and trainees to increase the effectiveness of strength training. For their formation, it is necessary to test the indicators of physical development of students, including specialized indicators of strength training. The results should be entered into a database for further analysis. To analyze the data obtained in order to further divide it into classes, it is proposed to use clustering of the information obtained, which will allow us to determine a set of groups with homogeneous indicators of physical development. As a result, cadets and trainees for training sessions will be allocated based on the vector level of their physical development, and training objectives will be formulated for each cluster. This will make it possible to develop strength-training programs with adapted training loads for each fitness cluster, providing a differentiated approach to training, increasing its effectiveness.

fostering a culture of creativity, developing skills in independent creative thinking and shaping a professional style are essential tasks of higher education. The most important ways to achieve this goal lie in innovative integrative methods, which simultaneously draw on the traditional experience of classical humanitarian education. Like any form of advancement, innovative improvement begins with well-known elements of pedagogical influence, among which communication aspects play a crucial role, directly affecting the perception of educational material. At the same time, innovations in culturology also encompass various dimensions. This article highlights those issues most closely related to pedagogy in terms of conceptual proximity. For instance, it draws attention to the interrelation between innovation and speech culture. Comparing linguistic norms with creative expression reveals clear analogies between the foundations of global pedagogical instruction and innovative strategies in education. The author also emphasizes the importance of a creative approach to innovation, as the formation of future university graduates is inseparably linked to these orientations. Reforms in higher education must be grounded in certain humanitarian priorities, including culturological ones. Clearly, the renewal of music-pedagogical reference points requires the integration of culturology as a vital component of modern, innovative approaches. In this context, it is important to underline the value of axiological aspects in contemporary education, since an understanding of the values of Azerbaijani spirituality as a foundation for teaching humanitarian disciplines brings a necessary element of creativity into the process. The integration of culturology as an interdisciplinary subject into music courses at higher education institutions reflects the reformative potential of modern Azerbaijani pedagogy and provides direction for its further advancement.

this scientific article examines the development of professional competencies of teaching staff in the field of the application of modern information technologies, which represent an urgent task of the educational system. The existing teacher training programs demonstrate significant gaps in the formation of the necessary skills in using digital tools. Materials and methods. The research uses publications by Russian scientists and articles from peer-reviewed journals. The reliability of the data is provided by statistical methods for in-depth analysis. The results of the study showed that information technologies remain unfamiliar in many faculties of teacher education. At the same time, young teachers increasingly have certain information technology skills due to the environment. Thus, only 10% of teachers rate their competencies in the field of information technology as excellent. In 2024, the study showed that interest in new technologies is growing: 36% of teachers plan to implement neural networks, and 20% are already doing so. Conclusion. Modernization of teacher training requires comprehensive development of information technologies. The updating of curricula, the introduction of specialized modules and practical internships will enhance the qualifications of teachers. The professional online environment promotes the exchange of methodological materials and the development of digital competencies. At the same time, regular assessment of the effectiveness of technologies will ensure that the educational process meets modern pedagogical standards.

this study presents an experimental method of developing flexibility of young volleyball players based on the principles of hatha yoga, as the most common style of yoga, offering a gradation of complexity of practices, which allows adapting it to different levels of physical fitness of athletes. The importance of flexibility development in childhood as a solid foundation for achieving high results in sports activities, including volleyball, is substantiated. The data of the results of the experiment on studying the effectiveness of using the method of developing flexibility of young volleyball players on the basis of the principles of hatha yoga are presented. It is established that according to the results of the pedagogical experiment the dynamics of (EG) athletes surpasses the dynamics of (CG) athletes in all control tests: on foot lifting, adapted foot lifting, leg extension to the side, foot lifting with the subsequent load on the foot. The reasons for the positive influence are revealed, in particular; the applied exercises from hatha yoga brought the effect of novelty in the training process; their application did not include stereotypical and well-known movements; in the process of training there was a regular adjustment of the complexity of the performed exercises, as well as the variability of the use of exercises for volleyball players with different levels of fitness.

the article discusses the practical aspects and problems of introducing virtual reality (VR) technologies into the professional training of medical college students, related to the lack of developed pedagogical conditions. The author identifies key barriers, such as the lack of comprehensive and clear methodological materials, the shortage of qualified teachers with appropriate training, the uncertainty of integrating VR into the educational process and in the area of assessing learning outcomes. The article proposes a structure of pedagogical conditions based on a systemic, structural-functional and competence-based approaches aimed at developing professional competencies. It is important to note that the listed pedagogical conditions are interconnected and complement each other, they are a single system that is built to achieve the pedagogical goal. Students' awareness of their readiness to acquire professional skills, creation of an educational environment with a practical focus using virtual reality technologies, organizational and methodological support for the process of developing students' professional competencies - allows students to effectively implement the process of forming their professional competencies. It was noted that the training of students at a medical college should be based on humanistic principles, which implies the acceptance by students of the social role of a nurse. The introduction of virtual reality technologies into the educational process contributes to the implementation of these principles and improves the quality of professional training of future medical specialists. This is especially important in the context of modern healthcare, where specialists are required to have a high level of professionalism and readiness to work in non-standard situations. The author noted that the use of VR technologies in a medical college plays an important role in teaching students.

the educational process, like all other spheres of human life, is undergoing changes determined by the vector of scientific and technological progress, changes in society's demands, and the emergence of new knowledge and information. Mathematics, being one of the fundamental educational disciplines, requires the use of the most effective teaching methods that allow students to form a comprehensive understanding of the subject. In this sense, the correct choice of teaching methods makes it possible to increase the effectiveness of the educational process and ensure the comprehensive and systematic formation of personal and professional characteristics of students. The article examines traditional and digital teaching methods, highlights their advantages and disadvantages, and makes recommendations for using an integrated approach in the teaching of mathematics.