The article proves that transition to a sustainable development of the rural regions assumes introduction of the mechanism of management by a sustainable development of the region, improvement of business processes and institutes of the civil society, particularly, the models of local self-government.

In this article the study of knowledge control patterns in math class with the help of computer-based testing. Displaying several models of construction of test tasks . Highlight the advantages of computer-based testing. The theoretical foundations of mathematical modeling.

The cities folded in foreign countries distinguish three organizational models of branding. First model – administrative – here, forming of brand of territory the public and local organs of power take the lead. Second organizational model – branding is initiated by business and divided into two types. First type – "export", according to this variant the basic task of municipal brand consists in stimulation of sales of commodities and services of local producers. Second type – "import", this variant of business model is branding on purpose to attract (to import) new business and investments in a city. The third model of organization of branding – civil is implies that realization of branding is initiated by different public associations or separate interested citizens. All three variants of branding befit the Kazakhstan cities and territorial educations, but priority direction will become is the European model with participation administration.

In the article existed in foreign practice models of dual education and the experience of their application in the education system of the Republic of Kazakhstan and Pavlodar region are considered.

The article shows the diverse interest of researchers in the notion of "discourse" in connection with the relevance of developing linguistic theories for studying the Internet, cognitive categories, variability and hypertextuality as internal features of discourse.

The article is devoted to the current problem of quality control and safety of dairy products. The article provides a generalized description of the system models, discusses the main problems and advantages in implementing the quality control system in small and medium-sized dairy enterprises.

The article considers an important priority of the state policy of the Republic of Kazakhstan – the preservation and strengthening of public health. In the context of this problem, the quality of management of medical institutions plays an important role. In the context of the economic crisis in health care, it is necessary to increase the efficiency of medical institutions through the introduction of new forms, methods and models of management. Factors that make it difficult to manage health organizations can be divided into two groups according to the method of occurrence: environmental factors and internal environmental factors. Together, interacting with each other, these factors lead to inhibition of the development of modern medicine. Thus, it is possible to identify the main problems that arise in the management of medical institutions at the present stage: the fragmentation of underfunding, low level of confidence of Kazakh citizens in the health care system, the problems of quality and availability of medical services, the lack of highly qualified medical personnel, low managerial skills of heads of health organizations. Conclusions on improving the quality of health services are made.

The article is devoted to the mathematical modulation of a complex of experimental data obtained in the process of experimental studies of processed cheese products, processed by mathematical methods. The purpose of this study is to establish the type and amount of the melting salt that promotes the formation of the plastic structure of the processed cheese product. The analysis of scientific research in the field of food technologies showed that mathematical modeling is used in the following areas: clarification of the modes of technological processes, design of recipes and assessment of the quality of finished products, as well as forecasting the shelf life of new products when they are put into production. The most relevant in describing the processes of food production are models of multivariate variance-regression analysis using methods of mathematical planning of the experiment. The authors carried out mathematical modeling and established graphical dependencies characterizing the degree of influence of the regulated factors X1 and X2 on the controlled ones that determine the quality and safety of processed cheese products. It is important that the mathematical analysis of the graphical dependences of the rheological parameters on the adjustable factors indicates the reliability of the data obtained. It is concluded that an increase in the melting salt dose leads to an increase in the – limit shear stress, which reflects the nature and state of the consistency of the processed cheese product. The process of normalization of the controlled factors by the maximum value was carried out. Graphical dependencies were built and regression analysis was performed, the results of which allow an objective assessment of the degree of influence of the type and dose of the melting salt on the chemical and organoleptic characteristics of the test products. The authors have proven that the optimal efficiency of transforming the structure of the constituent components of the recipe into a plastic structure of a processed cheese product that is stable during storage is provided by a combination of adjustable factors X1 (Solva 85) and X2 (Solva 120) taken in a ratio of 1: 1, with a total amount of 1,2 mas.%. At the same time, the quality indicators of the experimental products are characterized by the following values of the controlled factors: У1 – 1280 Pa; У2 – 9 points, У3 – 9,301 (2,0-2,2109 colony forming units /g).

Basic problem: the Republic of Kazakhstan is a platform for implementing innovative projects in all spheres of the economy, providing the younger generation with resource centers, technological parks, agricultural equipment, industrial technologies and scientific and educational complexes. The main goal of such actions is to activate scientific research, increase the technological potential of the industrial sectors of the national economy, and stimulate the development of innovative activities in the field of research and development. The problems of developing an entrepreneurial culture are a cornerstone issue that combines a combination of motivational principles for generating and promoting ideas, activating youth entrepreneurship as the flagship of the future economy, and a complex epidemiological situation in the world that hinders not only the development of entrepreneurship, but also the course of all socio-economic processes in society. Purpose: The purpose of this study is to identify the problems of youth entrepreneurship and find ways to solve them in accordance with the principles and methods of implementation, including the unit economics. Methods: the research Area focuses on economic modeling techniques that are successfully used in international practice to determine the profitability of business models, taking into account the effect of the production of a unit of goods / services or a single client / customer. The implementation of this approach is facilitated by the use of traditional methods of scientific research, such as analysis, comparison, and a graphical method for visualizing the results obtained; quantification method and parametric method as an evaluation tool that allows formalizing the procedure for evaluating the performance of unit economics models. Results and their significance: when considering business models in relation to youth entrepreneurship, attention is paid to the skills and competencies that students who study the disciplines of the entrepreneurial block in higher education receive. The proposed methods of unit economics are actively used in the development and promotion of startups, as an integral part of business plans. It is concluded that youth business has started to play a crucial role in solving socio-economic problems, such as creating new jobs and reducing the unemployment rate, and training qualified personnel. The set of proposed measures provides additional opportunities and increases the influence of youth entrepreneurship, which becomes the basis for unlocking its potential.

The article discusses methods for creating smart things, using the example of the use of innovative technologies in the field of materials for clothing and footwear. The factors of form formation are substantiated by the example of the preferences of an individual customer who forms its image through accessories and shoes. The author considers the factors of shaping, based on the special functional features of shoes in connection with ergonomic factors. The designer is able to foresee the factor of transformability in modern footwear, changes in functional qualities, appearance, and design features of new footwear. As a result, on the basis of these transformations, to get a new emotional image and a new form. The shape of the shoe becomes a factor for transformations at the request of the customer. The article discusses the functional tasks of this shoe, plastic characteristics, technical and design tasks. As research methods, the article proposes variants of experimental models with possible stages of transformation, presents preliminary technical data, conducts a comparative analysis with innovative footwear samples of famous world designers, and makes assumptions about the development of this model in the future. An experimental method was used during the study. A shoe shape was developed, which took into account the preferences of the age group of 12-16 years old, relying on this category of consumers, we were able to go beyond the rational understanding of shoes as a functional form and gave it the meaning of a fantastic image, which allowed us to consider the form in the semantic and artistic context dictated by this age group of consumers. In addition, investing in this model the concept of "smart shoes", we considered not only the ability of modification and transformation by rearranging replaceable parts, the possibility of designing and reincarnating from one form to another, combining the constituent elements of the shoe into one whole, but also the development of the creative potential of the consumer, who at its own discretion can rebuild the structure and, in fact, as a designer itself, form a new model. The article makes assumptions about its further development in various fields of activity. For example, medicine, sports, art, etc. Considering the introduction of new materials, we relied on discoveries in the field of nanotechnology and considered among the possible features of this model the change in color on the basis, the reaction of materials to light, temperature, etc. The project is aimed at creating such shoes that will be developed for a wide range of consumers thanks to the wide range of possibilities contained in the design of the form and the features of modern materials.

Main problem: Issues of evaluating regional competitiveness, search for competitive territories’ advantages, especially by improving human resources’ quality, remain insufficiently studied. In this regard, in article it is presented existing models for evaluating regional competitiveness in Kazakhstan economy. In addition, in article authors carried out regional classification according to analysis of main socio-economic indicators of Kazakhstan regions, originating in Concept of regional policy. Authors calculated main indicators of Kazakhstan regions’ competitiveness with aim of determining level of region’s competitiveness in comparative perspective. Purpose: Purpose of the research is comparative analysis and evaluation of the competitiveness of Kazakhstan’s regions in modern conditions. Methods: The article uses rating model for evaluating competitiveness of Kazakhstan’s regions based on indices, developed by Agency for research on investment profitability, operating at National chamber of Entrepreneurs of Kazakhstan (rating of competitiveness of Kazakhstan’s regions). Results and their value: Value of the paper considered in that classification of regions is carried out according to analysis of main socio-economic indicators of Kazakhstan regions, which originates in Concept of regional policy. The authors also calculated main indicators of competitiveness index of Kazakhstan regions according to National chamber of Entrepreneurs of Kazakhstan in order to determine the specifics of regions and identify directions for developing regional strategies. Based on results of the study, analysis was carried out that allowed to reveal strengths and weaknesses of regions of Kazakhstan. It is emphasized that a high level of regional competitiveness cannot be achieved without development of human resources and their rational use. In general, directions of regional policy are determined by chosen development scenario. The approach proposed by authors to methodology for evaluating regional competitiveness has a number of advantages - it reflects the specifics of regions, allows seeing the nearest competitors and determining directions of the region’s development strategy.

The main problem of the article discusses the methods of developing a collection of casual clothing with elements of ethnic style, using the example of innovative technologies in the field of creating ornaments for clothing. Factors of formation of ornaments based on the structure of the human body are justified. The author considers the factors of shaping, based on special visual features of clothing in connection with ergonomic factors. Study of the specifics of ornamental motifs to transform them into a component of modern youth clothing. The authors of the article monitored the environmental approach, that is, the acquisition of knowledge about cultural values based on the selection of all the best that was created by the people, introduction to cultural folk traditions, dialogue between man and culture. When writing the article, we used author's and experimental research methods, fixing information in tables and author's sketches. The study of categories and definitions was carried out by the method of selecting and classifying information, as well as its analysis. Comparative analysis of forms of traditional and modern culture, study of bibliographies on architecture, art, philosophy, psychology; analysis of materials of scientific monographs, abstracts and dissertations, articles, creative essays of masters of architecture and art, from the point of view of the concepts, principles, conceptual and terminological formulations contained in them. In addition, private scientific methods are used: analysis of literary sources to identify current trends in the formation of art. Аs the results of the research, a collection has been developed that considers various types of clothing decoration, uses methods for including ornaments in the structural structure of the costume and provides models, calculations and drawings. The author's collection justifies the use of ornaments in connection with the selected artistic and figurative task of the collection, as well as in connection with its functional purpose. All these factors are formative. And the practical experience of this research shows the relevance of this topic in connection with the need not only to promote the historical achievements of Kazakhstan's culture to the masses and popularize them, but also as a method that helps to understand the possibilities of its translation into modern design objects. Keywords: ornament, youth, model, collection, Kazakhstan.

This article reveals the essence of teaching the disciplines of the natural science cycle in English in high school. When preparing for the lesson, there is a need for careful selection of educational material, the teacher thinks out a specific algorithm for working with the text in a foreign language using subject terminology, while not forgetting the basic grammatical and syntactic models characteristic of the English language. In such a language environment, foreign speakers actively acquire solid knowledge, eliminating language difficulties in professionally-oriented lessons. Given this problem, we decided to create a methodological guide for teachers, which will contain tasks for formative assessment in physics lessons in English. Its lexical and grammatical material meets the requirements for mastering the English language (B1) in educational and cognitive activities. The presented progress tests also meet all the requirements of the corresponding stage of training of non-native speakers and help to consolidate the skills of professionally oriented communication. The purpose is to reveal some principles that should be taken into account when preparing assignments for physics lessons in English, as well as to provide a methodological guide for teachers. This article shows several principles that are most effective when conducting lessons. All the data of the article was confirmed by a computer survey of students, the answers were analyzed and collected for publication. Given the results we have presented, secondary school teachers can improve the quality of the material provided, as well as spend less time preparing for lessons. Physics is one of the fundamental sciences that can combine both the subject content and the language component. Here we present various methods of subject-language integration to improve communication skills. Thus, the preparation and conduct of physics lessons in English requires a strict and careful selection of educational material and takes into account the educational profile of secondary school students.

Singularly perturbed partial differential equations with small parameters with higher derivatives deserve special attention, which often arise in a variety of applied problems and are used in describing mathematical models of diffusion processes, absorption taking into account small diffusion, filtration of liquids in porous media, chemical kinetics, chromatography, heat and mass transfer, hydrodynamics and many other fields. It is necessary to consider the creation of an asymptotic classification of solutions of singularly perturbed equations using a well-known approach to solving the boundary value problem. In this case, the singular problem is understood as the problem of constructing the asymptotics of the solution of the Cauchy problem for a system of ordinary differential equations with a small parameter with a large derivative. The asymptotics of the solution in all cases is based on the last time interval or the construction of a boundary value problem for a system with a weak clot in an asymptotically large time interval. Purpose - to construct and substantiate the asymptotics of solving a singular initial problem for a system of two nonlinear ordinary differential equations with a small parameter; To date, a number of methods have been developed for constructing asymptotic expansions of solutions to various problems. This is the method of boundary functions developed in the works of A.B. Vasilyeva, M.I. Vishik, L.A. Lusternik, V.F. Butuzov; the regularization method of S. A. Lomov, methods of averaging, VKB, splicing of asymptotic decompositions of A.M. Ilyin and others. All the above methods allow us to obtain asymptotic expansions of solutions for wide classes of equations. At the same time, such singularly perturbed problems often arise, to which ready-made methods are not applicable or do not allow to obtain an effective result. Therefore, the development of methods for solving equations remains a very urgent problem. As a result of the study, an algorithm for constructing an asymptotic classification of the initial solution of the problem with a singular perturbation is given, and approaches to estimating the residual term are also shown.

The main problem: Modern research in the development of fermented milk products is focused on increasing the bioavailability of milk components, as well as the use of bacterial components of sourdough, which increase health properties. The use of the fermentation process of skimmed milk with a combined starter consisting of traditional for cottage cheese and starter cultures of probiotic cultures immobilized in a gel of biopolymers is very important. Purpose: The purpose of this study is to determine the optimal amount of starter, consisting of an association of probiotic cultures immobilized in a gel of biopolymers (membranes) to be added to fermented skimmed milk in order to enrich it with functional ingredients. Methods: A one-factor experiment was used. The culture association Propionibacterium freudenreichii subsp. was used as a regulatory factor. Shermanii, Bifidobacterium lactis and Streptococcus thermophilus, immobilized in a biopolymer gel, added to skimmed milk in the form of membranes (determined as a percentage of the mass of fermented milk). Controlled factors are the main indicators characterizing the efficiency of the skim milk fermentation process; these are active acidity, the logarithm of the number of viable cells of bifidobacteria, the logarithm of the number of viable cells of propionic acid bacteria, and organoleptic evaluation. Results and their significance: Based on the results of a mathematical analysis of the totality of values of controlled factors depending on the amount of starter cultures of probiotic cultures, mathematical models were built to determine the degree of influence of the starter on the quality indicators of the product, using the Table Curve 3D-v4 mathematical computer program.

Main problem: in Kazakhstan, it is urgent to develop measures aimed at introduction and promotion of Corporate Social Responsibility (CSR) at all levels of Kazakh society, in order to strengthen sustainability of socio-economic development, active participation of business in social modernization and human capital development. In this regard, there is problem of forming effective mechanism of social responsibility, as well as the implementation of principles of corporate social responsibility in management practice of domestic companies. Purpose: this study aims to determine the main stages of the development of CSR in business in Kazakhstan in the specific context the domestic business sector. Methods: methods of systematic, comparative and statistical analysis and of expert assessments were used. Expert survey, document analysis, secondary analysis of sociological research, case study method were used as empirical research methods. The analysis of documents was performed to study the legislative and regulatory frameworks that determine practices of implementing interaction between business and government in modern states. To identify and characterize models of CSR implementation, method of secondary data from a number of foreign comparative studies was applied. Case study method allowed identifying empirical cases of effective implementation of mechanisms of social public-private partnership in field of social investments by domestic business structures. Results and their significance: in the article, based on study of domestic and foreign experience, mechanism of interaction between business and government in solving problems of regional economic systems was considered. Main stages of evolution of CSR practices in Kazakhstan were identified and characterized, structural (subjects, institutions) and regulatory (legislation, strategies, programs, standards) components of interaction between business and government in solving problems of region in modern conditions are established. In addition, main differences between domestic CSR system and European model are considered, general characteristics of which are given in article.

Significant air and water pollution, which is detrimental to the health of the citizens of Kazakhstan. Courts and regulatory authorities do not properly fulfill their obligations in the framework of environmental protection. Currently, government agencies are pursuing a policy aimed at protecting the environment and the rights of citizens. Purpose of the study is to analyze international models, practices, application of management systems for the legal protection of the environment and the health of citizens with application in Kazakhstan. The article discusses and explores a number of principles and methods of environmental management. Since these principles and practices contribute to the establishment of rational and effective environmental policy and management, it is proposed to take them into account when rethinking the current system in Kazakhstan. The article analyzes models and methods of legal protection of the environment and response to damage to the health of citizens, these tools can be part of an integrated system. Based on the study, it was found that in order for environmental management to reach its full potential, Kazakhstan also needs to undertake political reforms and involve ordinary citizens in the formation of policies and protection mechanisms. The studied strategies for collecting and taking into account the opinions of people when making managerial decisions on environmental protection can be used in Kazakhstani society.

Main problem: the article is devoted to the issue of designing basic recipes for dairy products using mathematical modeling methods. The author analyzed the problems in the field of food technology and concluded that mathematical modeling is used in the following areas: clarification of technological process modes, designing recipes and assessing the quality of finished products, as well as predicting the shelf life of new products when they are put into production. The use of dihydroquercetin as a drug that prevents the oxidation of milk fat in the design of dairy products is substantiated. Mathematical modeling was carried out on the basis of experimental and analytical material obtained in laboratory and production conditions. Based on the maximum value of the objective functions, the optimal normalized mixtures and the maximum allowable concentration of dihydroquercetin were selected. The analysis of the received mathematical dependences and models is carried out, the system of linear equations is made. Purpose: to study the effect of natural bioflavonoid antioxidant on the oxidative processes of milk fat and the viability of lactic acid cultures and their associations by mathematical modeling in order to use it in the technology of a new product; conduct an analysis of mathematical dependencies and models, compose a system of linear equations. Methods: the article uses the method of mathematical analysis and the matrix method. Results and their significance: a mathematical model was developed for the dependence of the viability of probiotic cultures on the mass fraction of dihydroquercetin when designing recipes for a creamy-protein curd product, a matrix of the chemical composition of dairy ingredients was presented, and a system of linear equations for basic recipes was compiled. In the course of the study, the spatial configurations of dihydroquercetin, as well as its effect on the oxidative processes of milk fat, were studied. Mathematical modeling of experimental data on the study of the effect of dihydroquercetin on the viability of microorganisms with probiotic properties was carried out. The normalization of the complex of obtained results on the study of the influence of the mass fraction of dihydroquercetin on the fermentation process was studied. Controlled factors characterizing the process of fermentation of model media with dihydroquercetin have been determined. A rationing of the dihydroquercetin complex of more than 0.50% was established; the target function decreases to its minimum value of 0.53 with a mass fraction of dihydroquercetin of 1.00%.

Main problem: humane pedagogical thinking seeks to embrace the immensity, and this is the strength of educational systems and processes born in its bowels. To actualize the value of self-disclosure of students’ innovative abilities with the accompanying, providing role of a teacher, it is necessary to recognize a one’s intellectual reflective mechanism as the main subject of education. Developed reflexive abilities are a logical condition for a person to independently overcome all sorts of difficulties in life and activity. Purpose: understanding and formalization of the “golden principles” of socio-natural thinking and activity of a human as a biological organism. Methods: the method of ascending from the abstract to the concrete, the method of transforming specific images of objects based on their abstract essence, the speculative language of schematic representation of a thought. Results and their significance: considering a high dynamics of technological changes in the world of activity, we accept the reflective ability for self-education as the main means to independently discover certain professional abilities necessary in life. This means that, first of all, students must learn how to learn, i.e. learn to think independently, critically perceive and transform the received information into knowledge, pose their own questions, offer a range of answers, logically formulate and coordinate different points of view, build knowledge together with others. Innovative methods and models of pedagogical activity encourage students’ innovative abilities which cause innovative and technological development of a country.

The ideas of accelerated disclosure of the spiritual, intellectual and professional potential of a person have always been occupied by scientists and teachers (Ya.A. Komensky, K.D. Ushinsky, V.A. Sukhomlinsky, Ya. Korchak, A.S. Makarenko, A. Kunanbayev, Y. Altynsarin and others). Modern innovative teachers are guided by a personality-oriented approach, the ideas of subject-subject relations, and generational cooperation. Georgian teacher Sh. A. Amonashvili wrote: «humanitarian pedagogy perceives the child by his nature. He sees the infinity of the child, understands his cosmic quality and prepares him for the service of humanity throughout his life. It establishes the personality of the child through the determination of his will and builds pedagogical systems, the procedural of which predetermines love, optimism and high spiritual morality. Humanitarian pedagogical thinking seeks to take on something enormous, and this is the power of educational systems and processes that have arisen in its bowels». In order to realize the value of self-disclosure of innovative abilities of students, ensuring the role of a teacher, it is necessary to recognize the intellectual reflexive mechanism of a person as the main subject of Education. The purpose of the article is to identify innovative methods and models of pedagogical activity for the cultivation of innovative abilities of students, which determine the development of the country. The study used methods such as analysis, generalization, synthesis, modeling of scientific sources.

Main problem: achievement of socio-economic sustainability in each locality depends on coordinated actions of executive and representative authorities, which should be focused on creating appropriate conditions for ensuring social standards and improving quality of life of rural population, as well as the development of main economic basis – agricultural production. In this context, in today’s reality, the urgent problem of sustainable development of rural settlements is provision of appropriate industrial and social infrastructure, because systemic development of rural regions depends on this rural infrastructure, which acts as an element of territorial socio-economic subsystem. Purpose: identification and studying of key factors that determines and contributes to balanced development of industrial and social infrastructure of rural regions of country in context of sustainable development goals and objectives. According to the results of the study, the main distinctive features of sustainable development of rural areas are determined due to the provision of industrial and social infrastructure of rural regions, which has a correlation with the level and quality of life of the rural population, as well as the final results of agricultural production. Methods: general methodological principles, systematic approach and empirical methods of economic cognition act as methodological basis for implementation of this study: economic and statistical models, forecasting and modeling, methods of induction and deduction, synthesis, and also logical methods. Results and their significance: results of research can be used as a practical basis in activity of local executive bodies and local self-government bodies. Their use is possible for scientific substantiation of development and implementation of comprehensive plans for development of industrial and social infrastructure of rural areas of region within framework of Regional Development Plan, focused on qualitative improvement of economic basis of villages and the well-being of all segments of rural population.

The present stage of development of power systems is characterized by the need to increase their intelligence, that is, the formation of an environment capable of solving the problems of effective management of all components included in the power system. One of the features of modern energy systems is an active consumer, that is, a consumer who has the opportunity to optimize the schedule of loading their capacities, planning energy consumption, intellectualization of energy consumption. In addition to the fact that there are digital systems for collecting, processing and presenting information, as well as transmitting this information via the Internet, to solve the most difficult task of managing power systems, it is necessary to develop a large number of models adequate to real processes that can describe the processes taking place in the power system under consideration. The purpose is to develop models capable of adequately describing the interrelated processes occurring in the considered elements of the power system, as well as in the aggregate of related elements; development of methods that allow solving problems of effective control of elements of energy systems on the basis of the proposed intelligent models. To solve the problem of increasing the intelligence of the power system, nonlinear adaptive models of electrical complexes of an energy-intensive enterprise included in the power system were developed on the basis of balance equations and artificial intelligence methods. The production of alumina with the properties of inertia, nonlinearity and closure is chosen as the production under consideration. This type of production was chosen as the most difficult to predict due to the unpredictability of changes in energy consumption during the transition to other modes of its operation, associated, for example, with the receipt of raw materials with a different chemical composition for processing. Static and dynamic models of energy consumption of electrotechnical complexes with continuous inertial nonlinear closed production based on artificial intelligence methods have been developed, which makes it possible to eliminate the need to use long time series of retrospective data. For the considered type of continuous energy-intensive production, dynamic characteristics of energy consumption and technological processes are obtained from the main controlled parameters, which make it possible to predict emergency situations and partly man-made disasters. On the basis of a genetic algorithm, a multiparametric optimization problem of energy management of continuous production has been solved, taking into account technological parameters and cost factors.

Main problem: in Kazakhstan, the Government is reviewing its environmental and health management system to identify opportunities for improvement. Kazakhstan suffers from a high level of emissions into the environment and related health problems of the population. The link between environmental pollution and public health has been established for a long time. In Kazakhstan, air pollution, water pollution and soil and groundwater pollution are the main causes of widespread health problems and diseases, including, but not limited to, lung diseases and certain cancers. Recognizing these problems, the Kazakh Government is trying to strengthen environmental protection and environmental management system. Purpose: the purpose of the study was to analyze international models, practices, application of management systems for the legal protection of the environment and the health of citizens with application in Kazakhstan. Methods: the article discusses and explores a number of principles and methods of environmental management. Since these principles and practices contribute to the establishment of rational and effective environmental policy and management, it is proposed to take them into account when rethinking the current system in Kazakhstan. The article analyzes models and methods of legal protection of the environment and response to damage to the health of citizens, these tools can be part of an integrated system. Results and their significance: based on the study, it was found that in order for environmental management to reach its full potential, Kazakhstan also needs to undertake political reforms and involve ordinary citizens in the formation of policies and protection mechanisms. The studied strategies for collecting and taking into account the opinions of people when making managerial decisions on environmental protection can be used in Kazakhstani society.

The main problem: In the context of the rapid development of the digital economy, where technological innovations become the engine of progress, the role of planning in the management function acquires new dimensions and comes to the fore. Digital transformation not only redefines business models, but also requires organizations to reconsider their approaches to strategic and operational planning. Planning, as an integral part of management, is becoming a key tool for enterprises to adapt to the rapidly changing conditions inherent in the digital age. In this context, effective planning does not just foresee the future, but is a catalyst for innovation, risk management and achieving strategic goals in the context of digital dynamics. The purpose of the article is to study the transformation of the planning function in modern management in the digital economy. Methods: The research is based on a thorough analysis of the works of both domestic and foreign scientists devoted to the problems of choosing and using intra-company planning tools in the context of digitalization of the economy. To achieve the goals of the research, systematic and functional approaches of scientific cognition, as well as various methods of scientific analysis and synthesis were applied. In particular, modeling methods were actively used, which made it possible to explore in more depth the interrelationships and the impact of selected intra-company planning tools on the efficiency of enterprises in a new digital context. Results and their significance: The article examines the key aspects of changes in planning caused by the introduction of digital technologies, automation and data analytics. The authors analyze the impact of the digital economy on decision-making processes, long-term and short-term planning, and also emphasize the need to adapt management methods for effective navigation in the modern business environment.

Main problem: digital transformation of Kazakhstan’s society leads to emergence of new communication business models, including the so-called proactive data-based service, which implies expansion of communication contact between the state, business and society. Digital transformation of economic sectors and the service sector has objectively caused discussion of issues related to various aspects of its implementation. These include digitalization of society spheres within framework of public administration [1], problems of interaction between business and government [2], mechanisms of interaction between subjects in the private-public partnership model of government and business [3], description of communication models of business types, government and public sector [4], history of emergence of electronic trade, its forms and types of goods delivery to a consumer [5], organizational and managerial relations and processes arising in enterprises, working in field of online marketing and e-commerce [6]. In Kazakhstan, digitalization of spheres and the economy sectors is one of strategic priorities of its development. Use of information and communication technologies in the service sector creates additional impulses to its dynamics, therefore, has impact on improving population’s life quality. In this regard, it is necessary to identify trends and patterns of communication interaction between the state, business and society, to consider and clarify their content. The purpose: the research of state and trends in the development of Kazakhstan service sector under the influence of digital solutions and expansion of communicative contact between the state, business and society. Methods: the performed analysis in the research is based on the materials of the statistical reviews and their analysis using the methods of grouping, generalization, logical analysis, system description and interpretation. Results and their value: a range of the key problems of communication interaction between the state, business and society is investigated and determined. Recommendations are proposed to accelerate the development of e-commerce in Kazakhstan as a tool for communication interaction between business and society and improving population’s life quality.

Main problem: the article raises the question of the need to create innovative methods and models of functional-system thinking and pedagogical cultivation of students' intellectual abilities to improve the quality of education. Emphasis is placed on the development of reflexive, schematic, organizational and communication abilities. Purpose: to provide an overview of the basic theoretical concepts