Bulletin of Abai KazNPU. Series of Physical and mathematical sciences

MACHINE LEARNING FOR QUANTILE REGRESSION OF BIOGAS PRODUCTION RATES IN ANAEROBIC REACTORS

A. Zhumabaeva — 2024-12-27

This article discusses the application of machine learning to the quantum regression of biogas production rate in anaerobic reactors. Anaerobic fermentation is a well-proven tool in wastewater treatment plants for the treatment of raw sludge. It can also be used for renewable energy sources by collecting biogas in anaerobic boilers. Installation operators usually set operating parameters, such as temperature, according to expert knowledge. In order to fully exploit the potential of operational management, in this study we calibrated a new temporal thermonuclear transformer based on data from the time series of the life scale over six years, along with categorical features such as public holidays. The design of the model ensures the interchangeability of the output data compared to traditional data methods that use more attention. In addition to predicting average biogas production rates over the next seven days, our model also provides quantiles, which makes it less susceptible to strong fluctuations. We used three well-known statistical methods as a guide. The average absolute percentage error of our predicted approach is less than 8%.

MODELING HYDRODYNAMICS AND HEAT TRANSFER IN HEAT EXCHANGERS WITH TURBULATORS

B. Ismailov — 2024-12-27

Within the framework of the theory of turbulent gas flows, the most frequently used mathematical models of gas dynamics and heat exchange in the heat exchanger of power plants have been analyzed. The Navier-Stokes equations in Helmholtz variables describing the plane flow of incompressible Newtonian viscous fluid with constant properties in the absence of external forces are taken as a basis for calculating the dynamics of gases in recuperative heat exchangers. In order to systematize the analysis of the process of distribution of hydrodynamic parameters of gas in the inner tube, oscillations of nozzle elements and their influence on heat transfer, the problem is considered under conditions of gas flow turbulence. The nozzle elements are connected by an elastic wire through a certain distance. Due to the kinetic energy of the gas flow, the elements of the nozzle are driven in the longitudinal and transverse directions. At such problem statement, for physical interpretation of dynamics and heat exchange of gases, data on geometry of flow area, pipe dimensions, gas flow rate, temperature, physical and chemical parameters, elasticity of wire and oscillation (vibrability) of nozzle elements are required. Under the assumption that the temperature depends only on time and longitudinal coordinate, taking into account the heat transfer from the pipe wall to the gas, a simplified heat transfer equation is formulated. Possibilities of realization of the proposed model using computer mathematical systems of different levels are discussed.

ECONOMETRIC MODEL OF FACTORS INFLUENCING THE CHANGE IN COMPANY CAPITALIZATION

A.V. Babich-Gaury — 2024-12-27

The article considers the applied aspect of using econometric analysis methods of time series to assess factors that directly affect the value of a company. The basic mathematical apparatus is used to test hypotheses and build econometric models which are used in time series analysis. By determining the factors that affect the level of capitalization, hypotheses about the significance of these estimates are assessed and the level of the impact and consequence on key performance indicator as the company's net revenue is determined. Currently the global economy demonstrates high inflation rates in south and west parts of the world. Therefore, the author identifies the dependence that links the inflation rate and the level of turnover. A regression model of the relationship between changes in revenue and the level of return on invested capital is considered. Any investor seeks to increase the value of the company, so it is important to assess the main factors that affect this value.

CRITERIA FOR ASSESSING THE STABILITY OF INFORMATION SYSTEMS OF CRITICAL INFRASTRUCTURE FACILITIES

D. Zhaksygulova — 2024-12-27

The article considers the problems and approaches to assessing the resilience of information systems (IS), especially in the context of critical infrastructure facilities (CI). The first section discusses the theoretical foundations of IS resilience, including definitions and key concepts such as fault tolerance, adaptability, and a systems approach. The second section provides an overview of existing resilience assessment methods such as risk analysis, stress testing, modeling, and simulation, and their applicability to CI. The third section analyzes the identified problems, including insufficient integration of methods, limited forecasting capabilities, insufficient adaptability of systems, and difficulties in managing interdependencies. Based on the systems approach, resilience assessment criteria are proposed that include integration of methods, system adaptability, dependency analysis, use of dynamic forecasting models, and implementation of incident response plans. The article emphasizes the importance of an integrated approach to resilience assessment and suggests directions for further research and practical application of the developed methods and criteria.

MODIFICATION OF THE FICTITIOUS DOMAIN METHOD FOR A NON-NEWTONIAN FLUID MODEL

A.А. Krykpaeva — 2024-12-27

In this paper, we consider a modification of the fictitious domain method with continuation in terms of leading coefficients for a non-stationary nonlinear model of a non-Newtonian fluid in a limited three-dimensional domain. This modification is given as an auxiliary problem with a small parameter and in an extended (fictitious) region. And the model of the non-Newtonian problem is considered as the original problem. The purpose of this work is to prove the existence of any solutions of the auxiliary problem and their convergence to the corresponding solutions of the original problem as the small parameter tends to zero.Here we prove the existence of a generalized solution of the auxiliary problem and its convergence to the corresponding solution of the original problem. At the same time, for a strong solution, an estimate of the rate of convergence of a higher order is obtained, in comparison with the "classical" version of the method of fictitious regions. The main research methods are the methods of a priori estimates and Galerkin.

A CLASS OF INVERSE PROBLEMS FOR THE HEAT EQUATION WITH INVOLUTIVE PERTURBATION

E. Mussirepova — 2024-12-27

Inverse problems for the equation of deflected thermal conductivity with involution are one of the most relevant research topics in the field of mathematical physics. This study is devoted to the study of solutions of deviating equations characterizing the process of thermal conductivity, and the development of methods for solving inverse problems, taking into account their involutional properties. Such tasks are widely used in practical applications such as studies of thermal properties of materials, problems of reverse distribution, and engineering tasks for managing thermal processes. The equations of deflected thermal conductivity with involution are a general modified version of the problem of thermal conductivity, which allows us to more accurately describe various physical processes. In such equations, higher sequences of time derivatives or additional involutive terms are introduced, which complicates the model, but brings it closer to real processes. The theory of inverse problems includes important questions in the search for solutions to the equations of thermal conductivity. By determining unknown coefficients, initial or boundary conditions based on actual data, these tasks allow a deeper understanding of thermal processes. The specificity of deviating equations is due to the need to preserve the stability and uniqueness of their solutions. The purpose of this work is to study inverse problems for equations of deflected thermal conductivity with involution, and to develop analytical methods for their solution. The paper considers the issues of setting inverse problems, studying the conditions for their correct formulation, proving loneliness and stability of solutions. In addition, effective methods for solving problems are proposed. The novelty of the work lies in the presentation of a new formulation of inverse problems for equations with involution and the study of their analytical solutions. These models allow us to describe specific physical phenomena, such as the thermal conductivity of complex materials or changes caused by external factors. In addition, the results of the study contribute to improving the accuracy of the model in solving many engineering and scientific problems. The results of the work make a significant contribution to the development of the theory of inverse problems, as well as to the construction of new mathematical models of thermal conductivity processes. The results of the research can be used in scientific research, engineering reports and optimization of technological processes. A class of inverse problems for the equation of deflected thermal conductivity with involution is considered using four different boundary conditions. The solutions were obtained in the form of series classification using sets orthogonal to each report. The completeness of the solutions received was also discussed.

USE OF NUMERICAL METHODS AND ARTIFICIAL INTELLIGENCE IN FLUID FLOW CALCULATIONS

L. Tukenova — 2024-12-27

This research focuses on leveraging artificial intelligence to augment the finite difference numerical method for modeling incompressible fluid flow in a defined rectangular area with specified initial and boundary conditions. While numerical methods are extensively utilized in addressing hydrodynamics challenges, their precision and effectiveness can be heightened through the incorporation of artificial intelligence methodologies like machine learning and deep neural networks. This study introduces a fusion of finite differences with artificial intelligence techniques to achieve enhanced precision and efficiency in fluid flow modeling within a rectangular domain. The outcomes of this investigation offer valuable insights for refining fluid flow modeling methodologies in diverse engineering contexts.

MARCINKIEWICZ-TYPE INTERPOLATION THEOREM FOR LOCAL MORREY SPACES

Diana Chigambayeva — 2024-12-27

This paper is devoted to the proof of the interpolation theorem for local Morrey spaces. The purpose of this work is to study the interpolation properties of local Morrey spaces. The characteristic features of these spaces are analyzed. Based on the research carried out, the author proved the Marcinkiewicz-type interpolation theorem for local Morrey spaces on the homogeneous groups. This result is important both for function theory and functional analysis, and for applications. The interpolation ability of local Morrey spaces in the case of linear operators is revealed and justified. To obtain the result, interpolation methods for function spaces, embedding properties, and methods of functional analysis were used. The real Peetre method was used as an interpolation method and Hӧlder's, Minkowski's, Hardy's inequalities as the basic inequalities of function analysis were used. On the basis of the research, it should be noted that in the case of linear operators the scale of these spaces is interpolational in contrast to the classical Morrey spaces.

APPLICATION OF BAYESIAN ANALYSIS FOR COMPREHENSIVE ASSESSMENT OF THE STATE OF FISH RESOURCES IN FRESHWATER ECOSYSTEMS

K. Shapen — 2024-12-27

Water resources, including rivers, lakes and reservoirs, play a key role in maintaining the ecological balance, developing fisheries and preserving biodiversity. To ensure effective management and rational use of water resources, scientific research is conducted annually, including control fishing, which is aimed at determining the permissible catch volumes and developing strategies for preserving the aquatic environment. Within the framework of such studies, special attention is paid to water quality, the state of the food supply and the analysis of fish populations, including species, numbers and age structure.

This study uses a Bayesian approach that reveals complex patterns and dynamic changes in ecosystems that remain invisible when using traditional statistical methods. This approach contributes to a deeper understanding of processes occurring in water bodies and to the optimization of fisheries management. Bayesian analysis allows for more accurate predictions of changes in fish populations and their structures, which contributes to improved management of aquatic ecosystems and the conservation of biodiversity.

MATHEMATICAL MODELING AND DATA PROCESSING IN PYTHON

G. Alkhanova — 2024-12-27

The advent of mathematical modeling has significantly impacted various aspects of people's lives and has contributed to advancements in civilization and the exploration of new frontiers. Scientific modeling is a fundamental component of modern research, offering a method for both qualitative and quantitative representation of processes, phenomena, or objects through numerical models. These models are developed using mathematical tools that effectively capture the essence of the real-world processes, phenomena, or objects being studied.

A thorough examination of the history and application scope of mathematical modeling reveals its profound influence in simplifying human life and addressing pressing challenges faced by humanity. This includes an exploration of both the benefits and limitations associated with scientific modeling. Additionally, this study delves into the utilization of computer programs, particularly Python, for simulating physical phenomena.

This work encompasses various aspects of scientific modeling, ranging from its historical origins to the classification of numerical modeling techniques and models. Practical experiments on modeling free harmonic motions, such as second-order thermal conductivity, using Python's scientific packages with the capability to manipulate input data are also presented. Through these endeavors, valuable insights into the intricacies of mathematical modeling and its practical applications are gained.

DEVELOPMENT OF MOBILE APPLICATION FOR OPTIMIZING TRAFFIC FLOW THROUGH GAMIFICATION

A.K. Aitim — 2024-12-27

Technology does not stand still and plays an important and decisive role in our daily lives, constantly creating new and unique opportunities to improve various areas, including transport and urban infrastructure. Our project is aimed at actively introducing advanced augmented reality technologies into the daily lives of consumers to optimize traffic and improve the overall safety of drivers. The mobile application we are developing combines unique elements of augmented reality (AR) and gamification, offering users rewards and bonuses for compliance with traffic and safety rules. This innovation contributes to the formation of more responsible behavior on the roads and helps to reduce the number of violations, as well as contributes to the reduction of accidents. The use of augmented reality technologies provides convenient and intuitive navigation, imposing visual clues on the surrounding world, which helps drivers to better navigate difficult areas. This allows the driver to make more informed decisions and improve driving skills. Our goal is to make these innovative and useful technologies available to every user, so that their trips become not only safe, but also interesting and exciting, turning ordinary trips into new experiences. The project is especially relevant for major cities of Kazakhstan, such as Almaty, Astana and other megacities, where serious problems of traffic accidents and constant traffic jams require new, effective and modern solutions.

DIGITAL TECHNOLOGIES FOR MONITORING AND FORECASTING THE STATE OF AGRICULTURAL PLANTS UNDER THE IMPACT OF GREENHOUSE GASES

O.A. Ivashchuk — 2024-12-27

The article presents the results of modeling using neural network technologies and augmented reality technology in the interdisciplinary field of agricultural production: for assessing, predicting and visualizing the growth and development of agricultural plants, as well as for assessing adaptive scenarios for managing territories under the conditions of the greenhouse effect dynamics. The prospects of using digital technologies as an important tool for the formation of information support for decision makers in crop production are substantiated. In this paper, a prototype of the developed model-algorithmic toolkit is proposed, which can be used to improve the efficiency of the sowing planning process and obtain high plant yields.

DEVELOPMENT OF A UNIVERSITY CORPORATE PORTAL ADAPTED FOR MANAGING A MIXED DATA FLOW MANAGEMENT SYSTEM

Zh. Orazbekov — 2024-12-27

This article discusses the importance and necessity of a cooperative university management system. Information management is an important aspect of modern university management, which leads to the effectiveness of the educational process, administrative service and strategic decision-making. The article proposes a concept of a cooperative system that can solve the main problems of the university and solve the problem. To model such a system when mixing different data flows, an optimal algorithm for processing dynamic flows of the corporate system was created. The created algorithm was compared with existing algorithms. As a result, it was determined that the created algorithm effectively uses time when managing data. This work contributes to the automation of mixed data flow management in the field of education. This, in turn, helps the user save time and get a quick and accurate answer

EVALUATING AN ENSEMBLE MODEL FOR STROKE IMAGE CLASSIFICATION: COMPARATIVE ANALYSIS WITH INDIVIDUAL NEURAL NETWORK ARCHITECTURES

A.T. Tursynova — 2024-12-27

This study investigates the efficacy of an ensemble model in classifying stroke images, combining CNN (Convolutional Neural Network), EfficientNetB7, and DenseNet201 architectures. Utilizing a dataset of 2,501 black-and-white images from the Kaggle stroke dataset, the research addresses the challenges posed by limited data and explores data augmentation techniques to improve model performance. The ensemble model’s performance is compared against individual models such as MobileNetV2, EfficientNetB0, ResNet50, and DenseNet201. Results demonstrate that, while the ensemble model shows potential, its accuracy does not significantly exceed that of the top-performing standalone models, highlighting the need for larger datasets and more sophisticated ensemble techniques to enhance reliability. This work provides insights into the application of ensemble learning for stroke classification, paving the way for advancements in AI-driven stroke diagnostics.

A REVIEW OF CYBER DEFENSE MECHANISMS IN AUTONOMOUS ELECTRICAL SYSTEMS

G.S. Shaimerdenova — 2024-12-27

This systematic review examines the essential aspects of cybersecurity in the rapidly evolving field of autonomous electrical systems. As critical components of modern smart grids, these systems are increasingly vulnerable to advanced cyber threats due to their reliance on automation and connectivity. The review synthesizes existing research to identify current vulnerabilities, evaluate the effectiveness of implemented cyber defense mechanisms, and explore emerging trends and technologies aimed at improving the security and resilience of these infrastructures. By systematically analyzing peer-reviewed journals, conference proceedings, and industry reports from the past decade, the review highlights major cyber threats, including ransomware, DDoS attacks, and phishing, which pose significant risks to autonomous electrical systems. It investigates the use of cutting-edge technologies such as machine learning algorithms for detecting anomalies, blockchain for ensuring data integrity, and quantum cryptography for secure communication. A particular focus is given to artificial intelligence's role in predictive cybersecurity, which enables the anticipation of threats before they materialize, enhancing the proactive capabilities of defense systems. The review also examines the application of established frameworks like the NIST Cybersecurity Framework and the Zero Trust Model, which have been instrumental in shaping security strategies for the sector. It discusses both the challenges and opportunities associated with adapting to evolving cyber threats and integrating next-generation technologies into existing systems. This analysis aims to provide cybersecurity professionals, policymakers, and researchers with actionable insights and a comprehensive understanding of the cyber risks and defense strategies related to autonomous electrical systems. Ultimately, the review seeks to contribute to the development of more robust security measures, strengthen grid resilience, and ensure the reliable operation of future energy systems.

USE OF EXCEL IN TEACHING ELEMENTS OF STATISTICS IN SCHOOL MATHEMATICS COURSE

M. Iskakova — 2024-12-27

This study examined using Excel spreadsheets to teach statistics elements in a school mathematics course. Compared to other software packages, the advantages of using Excel in school mathematics have been determined. Basic information about Excel was shown, and information was given about its current use in teaching statistics. The school mathematics course determined the kind of statistical calculations that can be made. Statistics have a special place in school mathematics. It is covered in the mathematics textbooks of grades 5-11 of the general education school. In grades 5-6, they are given subtopics as an introduction to statistics; in grades 7-11, they are considered a separate section. The issue of digital technologies in teaching statistics is often discussed in textbooks. The digital tool MS Excel is used in mathematics textbooks for the 7th grade, 8th grade, and 11th grade of general education schools in the Republic of Kazakhstan to make statistical reports. 11th grade in elementary schools of algebra and analysis in the subject: main and sample sets, basic statistical means (sample mean, arithmetic mean, median, mode), discrete and interval frequency tables, statistical diagrams (frequency polygon, histogram), and discrete get acquainted with the concepts of quantitative characteristics of the selection of random variables. In this article, we have given tasks and instructions for making calculations using the Excel spreadsheet for the topics mentioned in the 11th-grade Algebra and Analysis Beginnings textbook. It has been shown that all statistical reports at the school level can be produced using Excel. MS Excel was used to create a frequency table, calculate fundamental statistical mean values, and create a frequency polygon, and a histogram was shown with concrete examples.

ON THE TASKS OF ORGANISING INDIVIDUAL WORK OF STUDENTS ON THE SUBJECT "THEORY OF DIFFERENTIAL EQUATIONS"

M. Nurakhmetova — 2024-12-27

The main objective of this work is to teach students to analyse particular solutions of initial value problems for homogeneous and inhomogeneous differential equations of the second order with a constant coefficient from the theory of ordinary differential equations. The work contains a list of exercises considered by the students in independent work with the teacher. A solution and analysis of the list of exercises discussed is given. A list of tasks offered for students' independent work on the topic under consideration is presented. It was also concluded about the performance of the students' assignments. Student's activity in independent works increases student's interest in conducting scientific research. It is known in scientific research that problem-solving analysis and forecasting are highly valued abilities. We believe that the knowledge and experience gained by students through independent work will have a significant impact on their professional development.

ON THE DEVELOPMENT OF LOGICAL THINKING OF FUTURE MATHEMATICS TEACHERS IN SOLVING GEOMETRIC TASKS

D. Nurbayeva — 2024-12-27

Teaching geometry faces such problems as a lack of qualified teachers, the lack of modern methods and materials for teaching geometry. To solve these problems, it is necessary to improve the training of mathematics teachers even within the walls of the pedagogical university. This article discusses the basic skills of solving geometric tasks, which play an important role not only in teaching mathematics, but also in general development. We want to draw attention to how the correct design of solutions and proofs of geometry tasks can help students develop analytical, logical and critical thinking. It requires precision, consistency and clarity in the expression of thoughts. In the course of the study, students were involved – future teachers of mathematics, to the solutions of geometric tasks of which strict design requirements were imposed. As a result, students learned how to correctly formalize solutions and proofs of geometric tasks, which served as a good help for the development of their skills in future professional activities, skills of analysis, logical and critical thinking, as well as the development of communication skills and teamwork abilities

STUDYING ELEMENTS OF PROBABILITY THEORY AND MATHEMATICAL STATISTICS IN SCHOOLS OF KAZAKHSTAN

M. Slyamova — 2024-12-27

The article discusses various situations and difficulties encountered in the study of elements of probability theory and mathematical statistics integrated into the school mathematics curriculum in Kazakhstan. Therefore, the insufficient number of necessary methodological manuals based on teaching students the elements of probability theory and mathematical statistics, and the insufficient number of hours devoted to studying the topic, are considered as one of the urgent problems, the goal and ways to solve it are determined. The purpose of the article was to identify the reasons why students of Kazakhstani meta-subjects could not master the elements of probability theory and mathematical statistics well enough.

A survey of mathematics teachers was conducted in several schools in Almaty and Almaty region, and an analysis of the results of the quarterly work of students was carried out. The questionnaire questions were compiled through the Google forms platform and distributed by link to subject teachers. Comparing the results obtained with the experimental works of foreign authors, it was found that personality-oriented teaching methods are more important in teaching probability theory and mathematical statistics than traditional teaching. Also, the results of training according to state mandatory standards and the content of the section "probability and statistics" in the school curriculum and the numbers of allocated hours are compared with the content of the relevant programs taught in Russia regions, the numbers of hours. In the final part, it is concluded that the expected results of teaching elements of probability theory and mathematical statistics depend not only on the volume of material or the age of the student, but also on the professional skills of the teacher in his teaching, the methods and techniques used, as well as on the number of hours allotted, and for the qualitative development of this discipline it is necessary to use in the process active teaching methods and modern technologies.

OPPORTUNITIES OF USING A COMPUTER IN OPTICS LABORATORIES

A. Abdulayeva — 2024-12-27

Studies in the field of natural science education and the development of modern technology show that the principles of digitization of analog signals, sensors of physical quantities, computer processing of information obtained from such sensors are increasingly used in the measurement of physical quantities. The modern standard of higher education requires active mastering of modern methods of obtaining, processing and presenting information, as well as methods of conducting research work in physics. Thus, today the issue of introducing computer technologies in conducting laboratory and research works of students is relevant. The purpose of this study is the application of computer programs in the laboratory work «Determination of the radius of curvature of the lens with the help of Newton's rings». The results of the conducted research have shown that the use of computer helps to increase the interest of students in the study of physical processes and raises the level of their conscious understanding.

THE EFFECTS OF SEMANTIC WEB-BASED LEARNING: AN EDUCATIONAL PARADIGM SHIFT

B. Amantay — 2024-12-27

The purpose of this study is to investigate the implications of Semantic Web-based learning on education, with an emphasis on its potential to improve learning outcomes, stimulate cooperation, and promote individualized learning. As a technology, the Semantic Web has the potential to transform education by providing a more interactive, engaging, and individualized learning experience. With the introduction of Semantic Web-Based Learning (SWBL), the educational landscape has experienced substantial change. This study examines the innovations, problems, and future prospects related to the incorporation of semantic technologies into web-based learning environments. We begin with a historical overview and follow the growth of SWBL, emphasizing its shift away from traditional methodologies and toward more sophisticated and interconnected learning ecosystems. SWBL innovations are investigated, with a focus on the use of artificial intelligence (AI) and virtual reality (VR) to improve learning experiences (Smith, 2015; Johnson, 2016; Brown, 2018; Davis, 2019). SWBL goes beyond typical static content distribution by stressing semantic organization of information, enabling dynamic and interactive educational encounters.

This study examines the obstacles to SWBL implementation in depth, addressing concerns such as data privacy, standardization, and equitable access (Martinez, 2017; Taylor, 2015; Patel, 2014). Solving these issues is critical for the successful integration of SWBL into mainstream education. Technical problems, pedagogical alignment, and digital inclusion and equality considerations are investigated, providing insights into the varied character of SWBL implementation (Anderson, 2012; Turner, 2013; White, 2011). Looking ahead, it was highlighting prospective research directions, such as the use of emerging technologies such as AI and VR to improve SWBL applications (Clark, 2016; Miller, 2018; Turner, 2021).

Furthermore, it can be emphasized that the significance of interdisciplinary collaborations, gamification tactics, and practical case studies in understanding and leveraging SWBL's transformative potential (Garcia, 2013; Foster, 2020). Ethical components are intertwined throughout, emphasizing responsible technology use and the development of digital citizenship (Turner, 2021; Miller, 2018). Finally, the study provides a detailed analysis of SWBL's past, present, and future, contributing to the continuing debate on educational technology. SWBL emerges as a crucial force in defining the future of education by managing hurdles and embracing innovations. This review intends to stimulate future research, stimulate informed debate, and aid educators and policymakers in realizing the full potential of SWBL for the benefit of learners in the digital era.

DIAGNOSTIC MODEL OF COMPUTER SCIENCE TEACHER’S READINESS TO USE VISUALIZATION TECHNOLOGIES

Zh.B. Bakytbekova — 2024-12-27

The study developed a diagnostic model of computer science teachers' readiness to use visualization technologies in educational practice. The model covers three key components: subject, methodological and managerial, which are interconnected and determine the level of professional training. For each component, readiness levels (low, medium, high) are identified, which allows for a systematic assessment of teachers' competencies. The methods used include theoretical analysis, criteria-based assessment and mathematical calculations to compare the dynamics of teachers' readiness. The results of the study demonstrate that the proposed model provides accurate diagnostics and support in improving the professional training of teachers. The use of this model contributes to the development of digital competence and increased efficiency of the educational process. The developed assessment system is significant for educational science, as it integrates modern approaches to visualization and learning, creating conditions for teachers to adapt to the requirements of the digital environment. The model is designed to conduct assessment procedures for the quality of teachers' professional training.

LEARNING PYTHON IN A PRACTICE - ORIENTED APPROACH ON AN EDUCATIONAL PLATFORM

K.M. Berkimbayev — 2024-12-27

This study examines the organization of the learning process of programming in Python in a practice-oriented way based on an educational platform. For the formation of programming skills, it is very important to combine theoretical knowledge with practical knowledge, as this allows students to actively and effectively master the learning process. Python is a simple and powerful tool suitable for learning programming.

Currently, the issues of digitalization of education are relevant in the educational process. The optimization of the quality of education and the implementation of quality education depend on the provision of an educational platform. The purpose of the article is to train computer science teachers in the country's universities and apply practical approaches in teaching Python programming to students in IT specialties, improve the quality of education and develop professional skills. The main advantage of learning through an educational platform is the possibility of independent work of students and their active participation in the learning process. The platform motivates students to work in practice by offering interactive assignments, exercises, tests and video editing. In addition, the automatic assessment system used on the platform quickly checks the results of students and gives them feedback, which, in turn, helps to improve the level of education.

As a result of this approach, students will better master the basics of Python programming, as well as get used to solving complex and complex tasks. The practice-oriented teaching method develops critical thinking, creative abilities of students, increases their competence in the field of programming.

ANALYTICAL REVIEW OF THE APPLICATION OF BLOCKCHAIN TECHNOLOGY FOR EDUCATIONAL PURPOSES

S.N. Koneva — 2024-12-27

The focus of this study is on the methodology of teaching blockchain technologies. The purpose of the study is to identify the main areas of application of blockchain technologies in the education system. The objectives of the study are to study the properties and principles of organizing data in the blockchain, analyze the main areas of application of blockchain technologies in various areas of human activity, and, based on the analysis, identify the main areas of use of the blockchain for educational purposes. The research methodology consists of a conceptual elaboration of the concept of blockchain and the definition of its connections with the main areas of human activity, the use of blockchain technologies in various types of organizations.. The significance of this study for science and society lies in the fact that the concept of blockchain is being explored in the context of the education system. The result of the research within the framework of this publication is limited to the identified relationships between the concept of blockchain in education and other areas of application

ORGANIZATION AND CONDUCT OF PHYSICAL EXPERIMENTS: FEATURES OF VR TECHNOLOGY APPLICATION

B.A. Kurbanbekov — 2024-12-27

Today, it is important to organize and conduct physics experiments at a high modern level. Practices based on phenomena and laws from physics include not only theoretical knowledge, but also practical skills. However, the need for expensive equipment that requires time and safety measures when performing traditional laboratory work in the field of physics causes difficulties. It also limits the possibility for students to comprehensively study physical patterns during practice. The use of VR (virtual reality) technology in the organization and conduct of physical experiments will eliminate these problems and make a significant contribution to achieving learning outcomes. VR technology creates conditions for students to conduct experiments without hazardous materials and complex equipment. This, in turn, makes the activities in the educational process more optimal and safe. In this sense, the main idea and purpose of this study is to determine the features of the use of VR technology in teaching physics, effectiveness in achieving learning outcomes. The study examined examples of teaching some complex physics topics and determined the impact of VR on the assimilation of the topic, the possibility of improving the learning outcomes of laboratory classes. In the course of implementing the research objective, research methods were used: meta-analysis, questionnaires, mathematical and statistical analysis, etc. The results of the study showed the methodological features of the use of VR technology in physical experiments and the effectiveness in improving learning outcomes with ease of mastering the topic. In addition, at the end of the pedagogical study, the students expressed a desire to increase their interest and motivation in learning using VR technology.

WAYS TO SOLVE BARRIERS TO INTEGRATING STEM EDUCATION INTO INFORMATICS TEACHER TRAINING

T.F. Maratova — 2024-12-27

This study is based on a quantitative method, which involved 129 informatics teachers (51 men and 78 women) from 43 schools in Almaty. The purpose of this study is to learn about barriers and ways to solve them for the implementation of integrated STEM (science, technology, engineering and mathematics) education in the training of future informatics teachers. The results of the study can be used in the development of educational programs in higher education institutions, which will lead to an improvement in the training of future informatics teachers. Despite research on the benefits and strategies of STEM education, barriers and solutions to its implementation, especially from the point of view of teachers, may be less clear. In the process of training future informatics teachers, there are various obstacles with limited access to resources, insufficient teacher training, lack of time and funds for retraining. These barriers include personal, institutional, and systemic issues that may hinder the integration of STEM into teaching practice. The study identifies these gaps and highlights the need to eliminate barriers to improving the quality of education in informatics and in the training of future computer science teachers.

TO THE QUESTION OF DIGITALIZATION OF UNIVERSITIES IN THE CONTEXT OF STRIVING FOR ACADEMIC EXCELLENCE

M.A. Skiba — 2025-01-02

The article examines the possibilities of integrating digital technologies into university activities across its four missions: teaching, research, employer engagement, and community interaction. These missions are considered indirect parameters of academic excellence, which can be used to assess the effectiveness of university education. The article also analyzes processes supporting university activities, particularly management processes. An attempt is made to develop scientific, methodological, and conceptual foundations for implementing the academic excellence initiative in higher education. The article provides detailed descriptions of digital platforms and tools corresponding to each of the university's missions aimed at achieving academic excellence. In conclusion, it is noted that digital transformation significantly impacts the achievement of academic excellence through several key aspects: access to resources, personalized learning, interactive teaching methods and virtual reality, flexibility and accessibility, collaboration and networking, analytics and evaluation, innovative research, and future skills development. Thus, digital transformation in universities creates conditions for a higher level of academic excellence by ensuring quality education that meets modern requirements and challenges.

METHODOLOGY FOR DEVELOPMENT OF INTELLECTUAL ABILITIES OF SCHOOLCHILDREN BASED ON DIGITAL TECHNOLOGIES

B.K. Smagul — 2024-12-27

The article discusses the use of digital technologies, as well as active teaching methods for the development of students' intellectual abilities. In addition, one of the urgent problems of our time was discussed – the use of digital educational technologies in school education. In the article, its relevance was determined and studied by a number of factors. The article examines the need to bring educational institutions of modern society as close as possible to modern digital technologies. The psychological and pedagogical literature compares and analyzes the insufficient development of the methodology of this problem, the need to improve specially developed teaching methods for digital technologies and the development of intellectual abilities of schoolchildren. The ways of solving the problems caused by the lack of equipment for the use of new information technologies in schools and in-depth education of children in the digital education environment are proposed. The article examines the possibilities of using the digital educational environment in the educational process and its impact on the formation of intellectual abilities of schoolchildren. The article also examines a number of needs in the development of pedagogical conditions for the development of intellectual abilities of older and preschool children in the process of using the digital educational environment in educational organizations. The authors of the article intend to continue their research.

CREATION OF A SMART LIGHTING SYSTEM IN THE STUDY ROOM

Sh. Turashova — 2024-12-27

The relevance of the introduction of innovative technologies in the educational process is steadily growing. Today, smart lighting is increasingly found in homes and offices, but it is still rare in schools and universities. The lack of ready-made solutions for classrooms is explained by the specific requirements for flexibility and efficiency of lighting, as well as the expediency of creating various lighting scenarios in an educational environment. "Smart lighting" in the classroom should include automatic brightness control depending on the time of day and natural lighting, changing the color temperature of the light to create an optimal, comfortable atmosphere depending on the time of day, uniform lighting settings for each workplace, integration with other smart classroom systems. The purpose of this study is to study the influence of various lighting parameters (brightness, color temperature, dynamics) on cognitive functions, emotional state, on the level of concentration and academic performance of students; with this in mind, the creation of a prototype smart lighting system for the classroom, which will optimize energy consumption and create comfortable learning conditions.

THE EFFECT OF USING ELECTRONIC STANDS IN TEACHING ROBOTICS

N. Shyndaliyev — 2024-12-27

As part of a joint experiment of Aktobe Regional University and Eurasian National University, a study was conducted to assess the effectiveness of using electronic stands in robotics training. The experiment involved 70 students, divided into control and experimental groups. A 25-question test was used to assess prior knowledge. According to the results of the experiment, which lasted one semester, a statistically significant improvement in the level of knowledge in the experimental group was revealed, with a (p)-value of 0.0101. The survey showed that the majority of students positively assessed the new approach to learning. The results of the study confirm the potential of integrating electronic stands into the educational process and their impact on improving the quality of robotics training. This discovery is important for the further development of the field of robotics and education in general. An innovative approach can become the basis for the development of new teaching methods and the improvement of educational technologies that contribute to the formation of the necessary skills in the field of high technology.