Tasks Of Different Levels Research Articles

Study of the effectiveness of teaching cultural geography in a school’s geography course

The experience of countries with developed education and the work of scientists who have conducted research in this area indicate that cultural geography is the most important factor in the formation of the worldview of students. However, an analysis of the state of teaching cultural geography in secondary schools in Kazakhstan has shown that it is insufficiently studied. The cultural geography components of geography are included in school geography textbooks, although they are not specifically taught as an independent subject or course. Therefore, an elective course on Cultural Geography was developed to fill this gap, and its effectiveness was studied through experimental research. The general secondary education school in Almaty City was chosen as the base of the experiment. The experiment, in which a total of 50 students voluntarily participated, was conducted from September 2021 to the end of May 2022. In order to determine the educational levels of students after the course, three stages of monitoring were conducted and 15 tasks of different levels were given. The experiment's findings demonstrated the significance of the elective "Cultural Geography" course in helping students develop their subject competencies and the value of implementing it in regular secondary schools.

GIOS ONLINE PLATFORM AS A TOOL FOR OVERCOMING LEARNING LOSSES IN MATHEMATICS

The COVID-19 pandemic worldwide has led to a shift from face-to-face to distance learning. The sudden change in the learning format and the unpreparedness of the education system led to learning losses of students. The most researched and documented learning losses are the ones in mathematics, reading, and science. In Ukraine, face-to-face learning has not fully resumed yet, as a full-scale war broke out after 2 years into the pandemic. Consequently, the problem of overcoming learning losses in mathematics is particularly acute, as the country's economy depends on it in the future. According to the research reviewed in this article, the use of information and communication technologies in the educational process helps to overcome learning losses. These technologies can be used to organize synchronous or asynchronous learning. The article examines the effectiveness of students' independent use of GIOS platform materials to overcome learning losses in mathematics. The results of the entrance and exit tests of students, along with a survey of students and their parents after 1.5 months of independent learning on the platform are described. It is concluded that the independent learning format without a teacher or tutor is not suitable for everyone. Nevertheless, one of the components of overcoming learning losses can be students' independent study of multimedia materials. It has been found that the older students are, the more effective this kind of learning is. Based on a survey of students, the characteristics of the GIOS platform that motivated students to learn and helped them to understand the material were identified. Among the characteristics are: the integrity of the course, elements of gamification, the availability of theoretical material in several forms (videos, schemes, examples of solved tasks), the ability to view it several times and return at any time, the availability of training tasks, tasks of different levels and formats (including non-standard ones), the ability to review the covered materials to analyze errors, the ability to improve results by solving similar tasks. It is noted that in order to help their students overcome learning losses, teachers should either develop mathematics materials independently or use ready-made materials.

Influence of target location, task complexity, and gender on children's use of their preferred foot.

The goal of the present study was to compare the choice of foot of right-footed children with varying strengths of foot preference when performing two tasks of different levels of complexity at three spatial locations. 30 right-footed children were tested. The results showed that the general tendency to use one's preferred foot to interact with an object is more or less pronounced depending on the object's location and the complexity of the task. The children used their non-preferred left foot more often during the simple task and when the object was presented to the left. Our findings also revealed interactions between gender, age, and spatial location. At five, girls used globally less their left foot than boys. In addition, girls used their preferred right foot more frequently than boys when the object was presented to the left. Based on these results, it can be concluded that foot selection depends on foot preference, task demand, environmental context, and biological factors associated with motor dominance.

Competencies of a Teacher of Primary General Education: Research of Professional Deficits

Introduction. The article analyzes theoretical approaches to the study of various aspects of the formation of professional competence of a teacher. The relevance of studying of the professional deficits of a modern primary school teacher is substantiated. The purpose of the article is to study and interpret the results of professional competence deficits of a teacher of primary general education. Materials and Methods. Research methods were used: theoretical analysis of the problem based on the study of psychological, pedagogical, methodological literature; content analysis of educational and scientific texts used for educational purposes for primary school children; synthesis, comparative and descriptive methods, analysis. An empirical study was conducted to study the professional deficits of primary school teachers in the Republic of Mordovia. Automated diagnostic tasks were used to identify the level of formation of methodological competencies. Results. Diagnostics of the formation of methodological competencies of primary school teachers has been developed and carried out. The diagnostic results indicate the presence of professional deficits among teachers of primary general education. Teachers find it difficult to determine the goals of activity at certain stages of the lesson, the sequence of structural elements of the lesson to solve practical problems, to select tasks of different levels of complexity for differentiated work. Discussion and Conclusion. The obtained data should be taken into account when organizing the activities of professional learning communities, building individual educational routes to improve the professional methodological competence of primary school teachers, updating the content of advanced training programs in terms of developing skills in organizing project and research activities of younger schoolchildren, understanding by teachers of the functions of control and evaluation in primary school, the essence of the formation of universal educational action, the features of the formation of educational activities of a junior high school student.

ENGLISH TEACHERS’ CONCERNS ABOUT THE ETHICAL USE OF CHATGPT BY UNIVERSITY STUDENTS

A surprising new challenge appeared with the advent of ChatGPT in November 2022 dealing with many academic tasks of different levels. The tool that revolutionized the way people interact with machines caused a lot of heated debates over its benefits and limitations. There is an increasing number of works devoted to different aspects of ChatGTP usage. They pose discussions and arguments among educators, scientists, governmental representatives, and even technology experts concerning ethical issues surrounding the use of ChatGTP. Some governmental institutions reacted instantly to the latest text tool and even forbade its use at schools and universities because of the fear that students might use it to cheat in university writing assignments and academic papers. The main worry is that tasks generated by this tool are relatively qualitative and may have a negative impact on learning. It does not contribute to developing critical thinking and problem-solving skills that are essential for wholesome personalities and successful professionals. Another big challenge for teachers connected with the use of ChatGTP by university students is the inability to distinguish the text written by a new OpenAI chatbot from the works written by real students, even with the help of antiplagiarism tools currently in use. The results of the study prove that for many English teachers ChatGTP is the tool that may impede and interfere with successful educational process preventing the development of students’ creativity, critical thinking, and analytical skills. However, we admit the necessity to take advantage of the new chatbot, the need to rethink and reconsider the existing methods and praxis for learning foreign languages in line with the requirements of the time. It is of primary importance to start looking for new ways how to incorporate the emerging technology into the educational process, using effectively its possibilities and tools.

Соотношение качества выполнения творческого задания у студентов-актеров с уровнем невротизации и выбором копинг-стратегий

The study aimed to reveal the relationship between indicators of performing a creative task (objective and subjective) and the level of neuroticism and preferred coping strategies among student actors. As a creative task, students were offered an original model that is close to the professional activity of actors and contains tasks of two levels of complexity: sequential expressive reading of straight (simple task) and inverted text (difficult task) at equal intervals (1 minute). The number of words read per minute was an objective assessment of tasks. A subjective (expert) assessment of the reading quality was carried out by the course teacher on a 10-point scale according to the following parameters: diction, artistry and content. Firstly, psychological testing of neuroticism and preferred coping strategies was conducted. It was revealed that with an increase in the task complexity, the teacher’s assessments shifted from the creative, artistic component of the actor’s activity to the technical one. There were no correlations between the level of neuroticism, coping strategies of actors and the teacher’s scores for the creative task. The most popular coping were escape-avoidance and confrontation, and the most unpopular — planning and self-control. Thus, the study of acting students showed that neither the level of neuroticism nor the preferred coping strategies affect the teacher’s assessment for a creative task. Statistically, only an objective increase in the level of complexity of this task was associated with the teacher’s assessment. This result emphasizes the need for an individual approach in creative disciplines, as well as changing the criteria for evaluating students’ creative skills when performing tasks of different levels of complexity.

Measurement of the Cognitive Potential Based on Performance of Tasks of Different Complexity

The present article is devoted to measuring a person’s cognitive potential on the obtained experimental data to reveal its potentialities, as well as to monitor their dynamics, for example, for the diagnosis of recovery after an illness. This objective is divided in this study into two problems. Namely, estimation of the cognitive potential requires two algorithms to be developed: first, for assessment of the cognitive-complexity level of tasks and, second, for the system of cognitive-potential levels for an individual. The methods rely on a set of experimental techniques, including tailor-made proprietary ones, as well as on mathematical methods for data processing and calculation of introduced specific parameters for formalization of the cognitive potential. On the basis of these methods, methods (and specific formulas) are proposed for calculation of the cognitive potential of an individual using experimental data and tasks of different levels of complexity. As a part of this study, a methodology for determination of the cognitive potential is designed based on the theory of information patterns/representations. For objectification of cognitive skills (including so-called “soft skills”), a special-purpose web toolkit was developed. The obtained values allow one to study how social, genetic, and pathogenetic factors influence the dynamics of cognitive features. A new theoretical and technological platform for digital mapping and optimization of cognitive functions is proposed.

A 1Mb Mixed-Precision Quantized Encoder for Image Classification and Patch-Based Compression

Even if Application-Specific Integrated Circuits (ASIC) have proven to be a relevant choice for integrating inference at the edge, they are often limited in terms of applicability. In this paper, we demonstrate that an ASIC neural network accelerator dedicated to image processing can be applied to multiple tasks of different levels: image classification and compression, while requiring a very limited hardware. The key component is a reconfigurable, mixed-precision (3b/2b/1b) encoder that takes advantage of proper weight and activation quantizations combined with convolutional layer structural pruning to lower hardware-related constraints (memory and computing). We introduce an automatic adaptation of linear symmetric quantizer scaling factors to perform quantized levels equalization, aiming at stabilizing quinary and ternary weights training. In addition, a proposed layer-shared Bit-Shift Normalization significantly simplifies the implementation of the hardware-expensive Batch Normalization. For a specific configuration in which the encoder design only requires 1Mb, the classification accuracy reaches 87.5% on CIFAR-10. Besides, we also show that this quantized encoder can be used to compress image patch-by-patch while the reconstruction can performed remotely, by a dedicated full-frame decoder. This solution typically enables an end-to-end compression almost without any block artifacts, outperforming patch-based state-of-the-art techniques employing a patch-constant bitrate.

The effect of the motor dual-task on static and dynamic postural control and classification of the motor task difficulty - Systematic Review

Many daily activities require performing multiple tasks and involve the integration of cognitive and motor skills, on which the outcome depends. Many studies approach the influence of cognitive tasks on gait and postural control, but few studies analyze the effect of another motor task during gait or postural control. This review aims to analyze the motor tasks used in motor dual-tasks studies and classify motor tasks as to their difficulty level. The literature review was conducted according to PRISMA guidelines in the databases: Medline, Web on Science, and Scopus during December 2019, using the key-words: motor dual-task, secondary motor task, gait, and postural control. It included observational studies based on the effects of motor dual-tasking in static and dynamic postural control, published in the last ten years. N = 215 studies were found within the databases, and this review included sixteen studies. One study analyzed gait with secondary motor task of different levels of complexity. Three studies analyzed the primary motor task (gait) at different difficulty levels or conditions. They all found that more complex tasks lead to poorer gait performance.In conclusion, a classification of the motor tasks is suggested according to their complexity level and suggests the need for more studies with motor tasks of different levels of difficulty. The static and dynamic postural control parameters analyzed in this review were negatively affected compared to the simple motor task, regardless of age or clinical condition.

METHODOLOGICAL FUNDAMENTALS OF USING PHET-SIMULATIONS IN THE PROCESS OF LEARNING PHYSICS

The article considers didactic and methodological possibilities of using PhET Interactive Simulations in the educational process. The application of electronic resources in the organization of educational and cognitive activities of students in the study of physics is proposed. Features and conditions of using computer models during the organization of the educational process are analyzed. The aim of the article is to consider the methodological possibilities and analyze the effectiveness of the use of PhET-Simulations in the study of physics. The following methods were used in the research process: theoretical – analysis, comparison, systematization and generalization of educational and methodological, popular science and applied sources on the research problem.
 It is argued that computer models are an effective tool for testing homework, explaining new and consolidating the previously learned material as homework or for independent work, and they play a special role during a demonstration experiment or laboratory workshop. Models become especially relevant when a real physical experiment is impossible. Examples of qualitative and quantitative tasks of different levels of complexity from the section “Mechanics” are given; performing tasks of this type contributes to better mastering of the theoretical material. It is substantiated that the use of computer modeling at lessons of natural and mathematical disciplines stimulates educational and scientific-cognitive, research activities of students, activates creative activity and has a positive effect on success, expands understanding of physical phenomena and processes occurring in the environment; enable students to understand natural phenomena at the highest level. The use of information and communication technologies in the educational process is based on changes in student learning activities and radical modernization of teacher activities, provides the formation of both key and subject competences of students.

Visualizing the school organic chemistry course with augmented reality

Nowadays, studying natural sciences, as well as chemistry, is impossible without good-quality visualization of the theoretic data. Supplying mobile apps with augmented reality give the opportunity to visualize the study information for the students and make its perception and learning easier. The paper is dedicated to developing a lap book and mobile app LiCo.STEAM Sugar with augmented reality and studying the “Carbohydrates” topic according to the 10 th grade chemistry program, and also to investigate it’s effciency within the chemistry lessons. The developed lap book includes the theories with carbohydrate molecules’ images, an experimental part designed for performing chemical experiments and studying properties of organic compounds, and also tasks of different levels. Molecules of carbohydrates, their structure can be visualized with AR, and also video-experiments on this subjets can be played. Using the lap book “Carbohydrates” with augmented reality together with LiCo.STEAM Sugar mobile app allows to upgrade the content and the volumes of the theories, apply modern ICT within the study in order to build students’ skills of a new level. Applying educational data with augmented reality give students the ability to memorize the theories in a better way, which is shown with the increased results of educational achievements of students in chemistry.

Investigation of teachers’ understanding of differentiated approach in teaching mathematics

This article describes research on the use of a differentiated approach in assessing students’ academic achievements during mathematics lessons. The study used theoretical and empirical research methods. In particular, normative documents and scholarly literature were reviewed, and in 2021, the study conducted a survey of online mathematics teachers from Kazakhstan on a differentiated approach to teaching. The study then analyzed the collected data using Spearman’s Rank Correlation Test and T-test. Firstly, the research shows that teachers mostly understand differentiation in the lesson as an adaptation of educational material to the needs of students and the use of tasks of different levels of difficulty. Secondly, there is a correlation between the understanding of a differentiated approach and the needs of teachers. This research results expect that it would give an idea of the readiness of mathematics teachers to apply a differentiated approach in assessment and develop recommendations for its application further. Keywords: differentiated approach, teaching mathematics, assessment, educational survey, correlation

Teal companies as an effective form of organization in conditions of turbulence of the world economy

In the context of the COVID–19 pandemic, maintaining the sustainability of the socio-economic system is one of the main priorities of states. The basis of the economy is small and medium-sized businesses, whose representatives are daily faced with the solution of managerial and organizational tasks of different levels. Main purpose of study was to research the possibility “teal” strategies usage in activities of Kazakhstani companies. The article describes aspects of the implementation of the basics of “teal” strategy as a flexible form of business structures in offline and online modes. The introduction of elements of the “teal” strategy will allow integrating into the changing economic system in the future by revising the organizational structure of management. The article also discusses the experience of implementing the teal strategy on the example of foreign, including Russian, companies. The teal model in these companies is based on the principles of self-organization and self-development of the company's personnel, which allows the maximum use of human potential for self-development and internal motivation in achieving the company's business goals. Based on the results of the conducted research, the main conclusions are made about the possibility of applying the strategies of “teal” organizations in the practice of Kazakhstan SMEs. In addition, the difficulties of implementing “teal” strategies are identified and the main competencies necessary for the personnel of companies to transition to the proposed business structure models are proposed.

THE IMPORTANCE OF INTRODUCING MODULE TESTING ONLINE AS A PEDAGOGICAL MEANS OF INCREASING THE QUALITY OF ASSESSMENT OF STUDENTS’ COMPETENCIES IN HIGHER EDUCATION ESTABLISHMENTS

The article deals with the multifaceted nature of the problem of testing, theoretical and methodological issues of control of students’educational activities in higher education as a place and essence of testing in the general monitoring system, as well as the definition of different kinds of testing in foreign language teaching process, and basic requirements for testing.
 This article considers a test system for assessing students' knowledge of the credit module system as well as the study of necessity of module online testing as a type of controlling educational and cognitive activities of students in foreign language teaching. The process of research testing from the standpoint of optimizing the quality control of the educational process in the university determines the importance of solving such issues as establishing the place and importance of testing in the general control system, determining the types of testing in foreign language teaching, disclosing basic testing requirements.
 The general provisions on test control are given, as well as the types and methods of constructing tasks and the ability to assess the level of knowledge, skills and abilities, the level of social and personal value of the acquired knowledge. The methodical approaches and experience of designing standardized tests for computer testing of professional competence of future specialists are covered. The classification of types of tests which provides their testing, selective use or active use according to a profile, possibilities and the purposes of training of a foreign language in each separately taken non-language highereducation establishments is considered. The problematic issues related to the assessment of students' knowledge in learning a foreign language are considered. The expediency of using a test form to control of students’current performance is analyzed. The method of module control, which is based on the application of test technology, is presented.
 The article analyzes scientists’views on the use of a rating system for assessing the students’academic progress. The expediency of using testing (during the current control of knowledge) and module tests with tasks of different levels of complexity (during the periodic control of knowledge) as effective methods of assessing students’ achievements; it is provided practical recommendations for their preparation and application.
 There have been developed tools for quality control of education that requires a further study of the theory and methodology of module tests.

КОМП’ЮТЕРНО-ОРІЄНТОВАНІ ЕЛЕМЕНТИ НАВЧАННЯ МАТЕМАТИЧНИХ ДИСЦИПЛІН МАЙБУТНІХ УЧИТЕЛІВ МАТЕМАТИКИ

The article is devoted to the issues of constructing effective computer-oriented components of the methodological system of teaching the disciplines «Linear Algebra» and «Probability Theory with Elements of Mathematical Statistics» provided for in the educational and professional program «Secondary Education (Mathematics)» of the first level of higher education in the specialty 014 Secondary Education (Mathematics). The article analyzes the methodological aspects of the effective organization of computations when finding the angle between a given vector and a nonzero subspace of Euclidean space, as well as using the least squares method for processing experimental data. The theoretical and practical information known to students-mathematicians from the corresponding sections of these academic disciplines is briefly presented. Analyzed educational, methodological and scientific literature used in teaching linear algebra and probability theory with elements of mathematical statistics; the expediency of using computer-oriented elements of teaching mathematical disciplines of future mathematics teachers has been substantiated. The authors proposed the use of computer-oriented learning elements in the processing of the content of disciplines and the development of test tasks of different levels of complexity in linear algebra and probability theory with elements of mathematical statistics in order to objectively assess the level of students' knowledge and timely correct individual educational trajectories. The article provides examples of the application of computer-oriented elements of teaching linear algebra and probability theory with elements of mathematical statistics, and also analyzes the methodological features of the organization of calculations in the software mathematical environment Mathcad. The methodological and practical materials presented in the article can be useful for students to organize and activate independent scientific and pedagogical activities, teachers of secondary educational institutions, heads of optional and circle work of students, teachers of linear algebra and probability theory courses with elements of mathematical statistics of pedagogical higher educational institutions. Key words: methods of teaching mathematics, computer-oriented elements of teaching mathematics, linear algebra, probability theory, mathematical statistics, Euclidean space, non-zero subspace of Euclidean space, least squares method.

Decision synthesis in engineering design of technological attachment

Synthesis of the engineering design decisions is considered. The fixtures for locating and clamping parts to be tooled at the manufacturing operations are the design objects. An approach to topology and parametric design are proposed. Most efficiently these tasks are solved at the function level. Finally, geometry models and design drawings are needed for manufacturing. Fixture action is to mate bases of fixture object with function faces of fixture locators. This is constraining the degrees of freedom of object. Every base constrains certain degree of freedom. In accordance with quantity and quality of that degrees, certain locators are appointed to the base and them must be positioned resulting in the a locating chart. The quality of the locating chart may be evaluated by the several criteria, for example, by it dimensions. Unsatisfactory solution may be followed by redistributing degrees of freedom among the bases or editing positions of locators within the bases. Thus the design is decomposed onto two independent tasks of different levels.

Архетипний характер освітньої діяльності особистості: соціально-філософський аналіз

The article analyzes the problems of modern educational activities in the context of the socio-philosophical analysis of the specifics of the information society. The problems of “self-development” and “self-presentation” of a personality are raised in the context of their interpretation in the context of the current situation of social transitivity. The position of eliminating educational institutions from educational processes, the threat of creating the phenomenon of education without a pedagogical component is considered as problematic. The "traditional" and "innovative" accents in the socio-philosophical discourse of education are compared, their semantic connotations are presented. The necessity of maintaining the balance of archetypal-educational functionality is substantiated, which consists in the formation of a system of socialization actions through a complex of educational levels, which have archetypal meaning expressed by special functions. The scientific novelty of the research is the schematic comparison of the functional characteristics of the archetype with the tasks of different levels of education as an orientation towards different potencies of the personality. In particular, the social functions of archetypes (in the author's three-component concept), the archetypal typology and schematics of E. Berne, C.-G. Jung and M. Mark and M. Pearson were compared with the tasks and meanings of the levels of education (primary, secondary and secondary special, higher), there are three functions of education, closely determined by the archetypal meanings of pedagogical activity. At the same time, a scheme is proposed in which the orientational-coordinating, stereotyping-normative and integrative-systematizing archetypal components form the tasks and functions of education: correlation, correctional and compensatory. The purpose of the article is to identify stable functions, principles, elements that, in any reform of the educational sphere, in particular, pedagogical, should be preserved, since they constitute the semantic foundations of its existence as a social institution of personality development. These are recognized as the unity of training and education, the unity of the past, present and future as organic links in the transfer of social experience and the preservation of social memory. Accordingly, six archetypes of educational activities are identified.

EXPERIMENTAL TEST OF EFFICIENCY OF TECHNOLOGY OF TRAINING AND PROBLEM SOLVING IN MEDICAL AND BIOLOGICAL PHYSICS

The article presents the results of research on the introduction of the technological model of professionally oriented tasks in medical and biological physics in the educational process of higher medical institutions (2015 – 2020).The effectiveness of the developed technology for solving professionally oriented problems and tasks, which are based on the method of scientific knowledge, was tested by empirical (assessment of academic achievement, questionnaires, surveys, observations and more) and theoretical (induction, deduction, systems approach, modelling and more) methods of research. The effectiveness of the technological model in the educational process was confirmed by the educational research and the elements of scientific research of students. During the pedagogical experiment were detected problems and contradictions in the process of professional training of future doctors, were described criteria for assessing the academic achievements of students in the discipline of medical and biological physics, including problem solving. The observational experiment showed the insufficiency of the level of formation of natural science and professional competence of students. Control and formative stage of the experiment to assess the effectiveness of the proposed technological content-structural model of solving problems in medical and biological physics, showed the effectiveness of the impact of technology of solving problems in medical and biological physics on the level of positive motivation, level of knowledge, level of educational research and scientific research of students.During the search experiment, technology of solving the tasks, which was confirmed by updated educational and methodical support, was developed. An expert assessment of the effectiveness of the educational process, solving tasks of different levels, levels of skills, and expediency of introduction of educational and methodical support was conducted. The analysis of the results of pedagogical experiment showed the expediency of introduction of developed technology of solving the tasks and training methodical model of support in the educational process. By means of experiment was proved the effectiveness and efficiency of the model of training a specialist in the medical field, in which the leading role belongs to the technological approach to the formation of professional competencies by means of tasks in medical physics, aimed at implementing educational and research activities of students.

КОМП’ЮТЕРНА ПІДТРИМКА ВИВЧЕННЯ ТЕМИ “КОРЕЛЯЦІЙНИЙ ЗВ'ЯЗОК, КОЕФІЦІЄНТ КОРЕЛЯЦІЇ” КУРСУ ТЕОРІЇ ЙМОВІРНОСТЕЙ ІЗ ЕЛЕМЕНТАМИ МАТЕМАТИЧНОЇ СТАТИСТИКИ

The article investigates the problem of developing the components of an effective computer-oriented methodological system for teaching the discipline "Probability theory with elements of mathematical statistics", which is provided for in the curriculum for training future mathematics teachers at a pedagogical university. The article contains methodological and procedural aspects of the organization of calculations in the process of establishing a correlation between the values of the features of a sample of the general totality in the mathematical software Mathcad. A detailed example of solving the problem of determining the correlation between the values of the features of a sample of the general totality, determining the sample correlation coefficient and its standard deviation, equations of direct regressions is given. The basics of the concepts of the correlation between the values of the features of the sample of the general totality, the sample correlation coefficient, the standard deviation of the sample correlation coefficient and the equation of direct regressions are briefly given. A brief review of educational, methodological and scientific literature used in teaching probability theory with elements of mathematical statistics is carried out, the expediency of using mathematical software environments when working with the content of this discipline and the development of test tasks of different levels of complexity in probability theory with elements of mathematical statistics for the purpose of objective assessment is substantiated knowledge of students. The article contains software implementations of the algorithm for establishing a correlation between the values of the features of a sample of the general totality in the software mathematical environment Mathcad, finding the sample correlation coefficient and its standard deviation, direct regression equations, as well as conclusions and directions for further scientific and pedagogical research in the field of implementation of computational methods of mathematical statistics for finding statistical estimates of a sample of values of random variables. The methodological and algorithmic materials presented in the article can be useful for students to organize and activate independent scientific and pedagogical activities, teachers of secondary educational institutions, leaders of optional and circle work of students, teachers of the probability theory course with elements of mathematical statistics of pedagogical higher educational institutions. Key words: correlation, sample correlation coefficient, standard deviation of the sample correlation coefficient, statistical sample, general totality, probability theory, mathematical statistics.

СИТУАЦИЯ УСПЕХА КАК СОЦИАЛЬНАЯ ТЕХНОЛОГИЯ (на примере образовательной деятельности)

The situation of success is presented as an author's social technology implemented in the framework of educational activities: in particular, the mechanism of creating a situation of success as a technology that stimulates educational activities within the framework of private didactics is described in detail. Educational activity is chosen as a clear example. Within its framework, the most clearly and succinctly unfolds the situation of success as a social technology that provides opportunities to achieve significant educational results. Creating a situation of success is provided by the presence of a number of positively directed pedagogical techniques: praise, approval, motivation, removing fear, and advancing trust. The author of the article has developed a technology aimed at solving problems: increasing educational motivation and academic performance, organizing a favorable psychological climate in the classroom, encouraging conscious and free choice associated with the performance of educational tasks of different levels of complexity, from the perspective of implementing the Federal state educational standard.