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List of publications on a keyword: «Mathematica»

  • Partial literary reconstruction as the basis for the art-analysis of the text, the structure and content of which include the tasks of the school mathematics course

    Conference Paper
    Education, innovation, research as a resource for community development
    Author:
    Svetlana V. Lebedeva
    Work direction:
    Современные технологии в образовании
    Abstract:
    The article demonstrates the possibilities of partial literary reconstruction for multidimensional art-analysis of texts with plot-forming tasks-inserts. Using the example of N. Nosov's short story "Fed's task", the structure and content of a series of lesson sessions based on partial reconstruction are designed. The proposed methodology is aimed at teachers who are able not only to see the unique form of organization of the educational process, but also to understand the deep content of the proposed approach, adapt it and effectively use it in pedagogical practice.
    Keywords:
    school education, mathematics and literature, partial literary reconstruction, teaching tool, art-text with a mathematical component, a task-insertion
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  • Mathematical excursions as a means of developing cognitive interest of basic school students in the context of education digitalization

    Book Chapter
    Contemporary Educational Technologies: Psychology and Pedagogy
    Authors:
    Daria I. Zolotukhina, Mariia E. Ivaniuk
    Work direction:
    Глава 13
    Abstract:
    The problem of declining cognitive interest in mathematics among a significant part of basic school students remains acute in the context of education digitalization. The abstract nature of mathematical content, insufficient connection with real life and traditional forms of organizing learning often lead to formal acquisition of material and loss of intrinsic motivation. The purpose of the study is to theoretically substantiate the possibilities of mathematical excursions (field, virtual and blended) as a means of developing cognitive interest of students in grades 5–9 in a digital educational environment. The methodological basis was formed by the activity approach (A.N. Leontiev, V.V. Davydov), the theory of problem-based learning (M.I. Makhmutov, I.Ya. Lerner), the concept of cognitive interest (G.I. Shchukina, N.G. Morozova, A.K. Markova) and the ideas of connectivism (G. Siemens). The paper provides a theoretical analysis of the psychological and pedagogical features of the formation of interest in mathematics among adolescents, systematizes the typology of mathematical excursions, reveals the role of digital technologies in the transformation of this method, and identifies pedagogical conditions for its effectiveness. The result of the study is the clarification of conceptual provisions significant for modern methods of teaching mathematics and the substantiation of a set of pedagogical conditions that ensure the developmental effect of mathematical excursions in the context of digitalization.
    Keywords:
    activity approach, problem-based learning, digital educational environment, cognitive interest, basic school, blended learning, mathematics teaching methods, virtual excursions, mathematical excursions, education digitalization
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  • Mathematical excursions as a means of forming geometric representations of students in grades 5–7 in the context of education digitalization

    Book Chapter
    Contemporary Educational Technologies: Psychology and Pedagogy
    Authors:
    Daria I. Zolotukhina, Mariia E. Ivaniuk
    Work direction:
    Глава 14
    Abstract:
    The problem of forming complete geometric representations among students in grades 5–7 remains relevant in the transition to the systematic geometry course. Traditional methods relying mainly on static drawings and models often fail to provide the necessary level of dynamism and generalization of spatial images. The purpose of the study is to theoretically substantiate the potential of mathematical excursions (field, virtual and blended) as a means of forming geometric representations of schoolchildren in a digital educational environment. The paper provides a theoretical analysis of the content of the concept of «geometric representations» at the propaedeutic stage, systematizes the didactic possibilities of excursion formats, and substantiates the expediency of relying on the «Visual Geometry» course. The result of the study is a theoretical model for organizing mathematical excursions, including target, content, procedural and resultant components. The model can serve as a basis for designing specific excursions aimed at developing spatial thinking and preparing students for the systematic geometry course.
    Keywords:
    blended learning, spatial thinking, virtual excursions, mathematical excursions, education digitalization, geometric representations, visual geometry, grades 5–7, dynamic geometry environments, geometry propaedeutics
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  • Networking of students in grades 7-9 when working in math lessons with an interactive calendar of mathematical events

    Conference Paper
    Pedagogy, Psychology, Society: from theory to practice
    Authors:
    Mikhail A. Zabaznov, Tatiana K. Smykovskaia
    Work direction:
    Теория и методика обучения и воспитания
    Abstract:
    The article discusses the issue of organizing network interaction between students in mathematics lessons when working with an interactive calendar of mathematical events. The authors give examples of organizing students' network interaction when working with various elements of an interactive calendar of mathematical events.
    Keywords:
    teaching mathematics, interactive calendar, mathematical event, digital network resource, educational interaction
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  • Mathematical modeling and quantitative methods of analysis in the system of medical and biological training of students of a sports university

    Book Chapter
    Issues of education and psychology
    Author:
    Elena G. Kostenko
    Work direction:
    Глава 10
    Abstract:
    The chapter examines theoretical and applied aspects of mathematical modeling and quantitative analysis methods in the system of biomedical training of students in sports universities. Their role in assessing functional state, modeling training processes, and developing analytical competencies is substantiated. The integration of mathematical methods and digital technologies is shown to improve the quality of professional training.
    Keywords:
    physical education, digital technologies, mathematical modeling, biomedical training
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  • Resource model of a mathematics teacher's professional image

    Conference Paper
    Advanced Pedagogical Experience in the Modern Educational Space
    Author:
    Irina V. Gaidamakina
    Work direction:
    Профессиональный рост педагога: традиции и инновации
    Abstract:
    The article discusses the problem of forming a professional image of a higher education mathematics teacher in the context of digital transformation of education. Based on a critical analysis of Russian research, the article identifies the specific image challenges faced by mathematics teachers, which are influenced by the subject content, existing stereotypes of the "mathematician" image, and the specifics of digitalization in mathematics education. The author proposes an adapted resource model of the mathematics teacher's image, which includes three components: subject-methodological, didactic-instrumental, and personal-communicative.
    Keywords:
    digital transformation, professional image, resource model, specifics of digitalization of mathematical education
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  • Modeling as a method of teaching primary school students to solve word problems

    Conference Paper
    Education in the 21st Century: Challenges, Practices, and Development Trends
    Authors:
    Nikita R. Zviagin, Svetlana V. Mitrokhina
    Work direction:
    Specificity of Professional Activity of Psychological and Pedagogic Stuff in the Educational System
    Abstract:
    The article discusses modeling as a central method of teaching solving text problems in primary school. It is shown that its methodological value lies not in providing a visual representation of an already found answer, but in the consistent translation of a verbal situation into a system of relationships between quantities that can be analyzed, solved, and verified. Based on Russian research, the article explores the functions of object, graphic, and symbolic models, outlines the stages of working with a problem, and identifies the conditions under which a model becomes a tool for independent reasoning.
    Keywords:
    modeling, elementary school, mathematics education, mathematical model, text problem, and graphical diagram
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  • Artistic texts with image-enhancing tasks-inserts in the teaching of schoolchildren

    Conference Paper
    Relevant problems of modern science and education
    Author:
    Svetlana V. Lebedeva
    Work direction:
    Современные подходы в образовании и воспитании
    Abstract:
    Статья посвящена художественным текстам с математическими задачами-вставками, подробно рассмотрен один из видов задач – дополняющие образы задачи-вставки. Выделены подвиды таких задач, выявлены их специфические особенности и образовательные возможности. Указаны некоторые аспекты организации деятельности учащихся по художественному анализу текста с дополняющей образ задачей-вставкой; заявлено дальнейшее направление исследования.
    Keywords:
    education of schoolchildren, mathematics and literature, a means of teaching, an artistic text with a mathematical component, а task-insert, an image-enhancing task-insert
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  • Mathematical methods of management of sports organizations in the system of sustainable development

    Book Chapter
    Development of the Russian socio-economic system: challenges and prospects
    Author:
    Elena G. Kostenko
    Work direction:
    Глава 15
    Abstract:
    The chapter examines mathematical methods for managing sports organizations in the context of sustainable development. The role of quantitative analysis, modeling, and forecasting in improving the validity of managerial decision-making, optimizing resource allocation, and reducing managerial risks is demonstrated. The importance of integrating mathematical methods into the system of training managerial personnel in the field of sports as a condition for developing analytical competencies and sustainable management practices is substantiated. The materials of the chapter can be used in academic research and educational programs in sports management.
    Keywords:
    sustainable development, modeling, sports management, mathematical methods, management of sports organizations, training of managerial personnel
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  • The pedagogical potential of project-based learning in the modern educational space

    Book Chapter
    Pedagogy and psychology as sciences of building the potential of modern society
    Author:
    Olga V. Khotuliova
    Work direction:
    Глава 1
    Abstract:
    The chapter examines the pedagogical potential of project-based learning as an effective tool in the modern educational space. The key aspects of project-based learning are analyzed, including its impact on the development of critical thinking, creativity and independence of students. Special attention is paid to the integration of the project approach into educational programs at various levels, as well as its role in shaping 21st-century skills necessary for successful socialization and professional activity. The chapter examines examples of successful implementation of project-based learning in schools and universities, as well as methodological recommendations for teachers on the implementation of project technologies in the educational process. The article highlights the importance of project-based learning in the context of the current challenges of education and its ability to adapt to the demands of modern society. In the paper, the author present the results of an experiment on mastering the method of project-based learning in school.
    Keywords:
    mathematical data processing, project-based learning method
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  • Mathematical training in the system of higher sports education as a pedagogical resource for the formation of professional potential

    Book Chapter
    Pedagogy and psychology as sciences of building the potential of modern society
    Author:
    Elena G. Kostenko
    Work direction:
    Глава 10
    Abstract:
    This chapter examines the mathematical training of students at higher education institutions specializing in sports as a significant pedagogical factor in the development of an individual's professional and intellectual potential in the context of modern society. The role of mathematical disciplines in the development of analytical thinking, research skills and the ability to make informed decisions in the professional activities of physical education and sports specialists is substantiated. It is shown that a practice-oriented model of mathematical training facilitates the integration of pedagogical, scientific, and applied components of education. The chapter's materials can be used in the design of educational programs and the development of professional education theory.
    Keywords:
    personality development, mathematical training, Pedagogy, practice-oriented learning, higher sports education, professional potential, analytical competencies
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  • On the issue of developing and using an interactive calendar of mathematical events in teaching mathematics to students in grades 7-9

    Conference Paper
    Socio-Pedagogical Issues of Education and Upbringing
    Authors:
    Mikhail A. Zabaznov, Tatiana K. Smykovskaia
    Work direction:
    Теория и методика обучения и воспитания
    Abstract:
    The article discusses the development and use of an interactive calendar of mathematical events in mathematics lessons and extracurricular activities on the subject. It is noted that the interactive calendar of mathematical events plays a crucial role in the mathematical education of students in grades 7-9 in the digital educational environment of the school. It not only makes the learning process more exciting and interesting, but also contributes to the humanization of mathematical education and involvement in the process of learning about the world. The authors define the basic requirements for the development of an interactive calendar of mathematical events.
    Keywords:
    interactivity, teaching mathematics, interaction, interactive calendar, mathematical event, digital network resource
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  • An Electronic Diary of Self-Observation as a Means of Developing Self-Reflection Among University Students in the Process of Teaching Mathematics

    Research Article
    Development of education Volume 9 No 1
    Author:
    Anna I. Rybakova
    Work direction:
    Pedagogy and Modern Education
    Abstract:
    The modern education system sets specific requirements for the personality of a future university graduate. In particular, a student should be able to manage their own time and create their own self-development path based on educational principles. Self-reflection is an important aspect of personal development. It reflects the brain's ability to observe its own thought processes, allows to realize the motivations its actions and to evaluating its own activity in order to make the necessary adjustments. Currently, many scientists are talking about the problem of information overload, which is caused by the digitalization of public life and leads to cognitive and regulatory disorders among young people. This work is devoted to the identification of possible means of developing self-reflection skills among university students in the process their mathematics education. An analysis and generalization of the literature on the topic under consideration lead to the conclusion that there is an insufficient representation in the educational space of methodological tools for developing self-reflection among university students. The pedagogical experiment revealed that the electronic self-observation diary developed based on the existing conclusion is an effective means of developing self-reflection skills among students studying mathematics. The organized scientific research has identified a number of issues that require further study.
    Keywords:
    education, students, development, mathematical disciplines, higher education institution, self-reflection, self-observation diary
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  • Application of set theory and logic in the design of intelligent educational environments

    Conference Paper
    Modern educational process: psychological and pedagogical support, educational strategies
    Authors:
    Ivan A. Rozhkov, Aleksandr E. Sergeev
    Work direction:
    Инновационные технологии в образовании
    Abstract:
    The article examines the fundamental role of the apparatus of discrete mathematics, in particular set theory and mathematical logic, in the design and development of intelligent educational environments (IEDs). The key tasks of IEDs are analyzed, such as knowledge formalization, adaptive planning of learning trajectories, gap diagnosis and generation of personalized tasks, the solution of which is based on operations on sets, Boolean algebra, logical rules and predicate calculus. It is proved that the use of these formal methods makes it possible to move from intuitive design of educational content to a precise, algorithmically controlled process, which is a critical factor in improving the quality and accessibility of education. The work highlights promising areas of integration of these disciplines into modern EdTech solutions.
    Keywords:
    adaptive learning, personalization, set theory, intellectual educational environments, mathematical logic, knowledge formalization, ontologies, logical inference
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  • Role of Mathematical Training of Schoolchildren in Mastering Skills of Future Profession

    Research Article
    Development of education Volume 8 No 3
    Author:
    Elena A. Barakova
    Work direction:
    Pedagogy and Modern Education
    Abstract:
    Specialized school education today aims to enhance learning motivation and acquire knowledge and skills necessary for future professions. The choice of specialized subjects by 9th-grade graduates for in-depth study in specialized 10th-11th grades also implies passing the Unified State Exam (USE) in these subjects at the specialized level. However, the results are often lower than expected by graduates, their parents, and teachers. This article, based on an analysis of the 2024 Unified State Exam (USE) results in mathematics (specialized level), examines the format of self-analysis of a mathematics teacher's own errors in teaching schoolchildren. It proposes a set of updated competencies for mathematics teachers to improve the quality of graduates' mathematical training. As a result of discussing the problems of modern specialized school mathematics education, particularly the update of the direction of specialized school education (introduction of agrotechnological classes), with participants of professional development programs (specialists from regional education development institutes overseeing specialized school education, and heads and deputy heads of general education organizations), constructive approaches to mathematical training of schoolchildren are outlined. These approaches aim to apply mathematical knowledge, applied mathematical skills, and abilities in mastering related academic subjects, using the example of mathematics education in specialized agrotechnological classes.
    Keywords:
    professional competencies of a mathematics teacher, school specialized education, approaches to mathematical training of high school students, agrotechnological classes
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  • Functional Literacy as a Tool for Improving the Quality of Mathematical Education

    Conference Paper
    Pedagogy, Psychology, Society: from theory to practice
    Authors:
    Irina A. Ledovskikh, Kristina O. Dorzhu
    Work direction:
    Теория и методика общего и дополнительного образования
    Abstract:
    The article is devoted to the consideration of the possibilities of improving the quality of mathematical education by developing the functional literacy of schoolchildren. The problems of the modern system of teaching mathematics are analyzed, such as the separation of theory from practice, low motivation and the lack of conscious perception of the meaning of the subject. Ways to overcome these difficulties are proposed, including the integration of mathematical problems into real life, the organization of project activities, and skills for working with information
    Keywords:
    mathematical education, mathematical training, modern teaching technologies, functional approach, functional literacy, educational standards
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  • Formation of students' functional literacy in mathematics lessons through solving word problems

    Conference Paper
    Pedagogy, Psychology, Society: from theory to practice
    Authors:
    Irina A. Ledovskikh, Kristina O. Dorzhu
    Work direction:
    Теория и методика общего и дополнительного образования
    Abstract:
    The article is devoted to the importance of the ability to solve word problems in mathematics lessons for the successful formation of students' functional literacy. In order to increase students' motivation and prepare them to use mathematical knowledge in everyday situations, the work emphasizes the importance of using educational and practical problems. Methodological recommendations and specific examples of the implementation of the methodology are presented, aimed at activating the cognitive activity of students and creating situations of success in the process of mastering mathematical knowledge.
    Keywords:
    educational process, digital literacy, creative thinking, financial literacy, functional literacy, mathematical literacy, natural science literacy, global competencies, word problem, mathematics teaching methods, knowledge application practice
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  • Metodical aspects of the organization of trigonometry classes for mid-level specialists in ship navigation management

    Conference Paper
    Sormovo Readings- 2025: scientific and educational space, realities and prospects for improving the quality of education
    Authors:
    Valerii R. Sagiian, Tatiana K. Smykovskaia
    Work direction:
    Современные педагогические теории и методы: инновации в образовании и подготовка кадров
    Abstract:
    The article raises the problem of organizing trigonometry classes for mid-level specialists in ship navigation management without interrupting their professional activities. The article considers the substantive component of trigonometry classes, which provide systematization of knowledge necessary to solve the main problem of navigation.
    Keywords:
    systematization of knowledge, trigonometry, mathematical basis, navigation, navigation control, teaching methods in the postgraduate period, lesson system
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  • Mathematical principles of data processing in the sports industry

    Book Chapter
    Modern issues of pedagogy and psychology: theoretical and methodological approaches and practical research results
    Author:
    Elena G. Kostenko
    Work direction:
    Глава 20
    Abstract:
    Statistical research methods are used in all areas of the sports industry. Mathematical data processing is a basic tool for increasing the efficiency of the training process, analyzing athletes' technique, predicting competition results, modeling individual training programs and maintaining athletes' health.
    Keywords:
    analysis, modeling, physical education, evaluation, sports, forecasting, statistical analysis, mathematical data processing
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  • Formation of a sample of candidates for additional training, taking into account the requirements of the region

    Book Chapter
    Principles of building a new ecosystem: Economic, legal and social aspects
    Authors:
    Olga A. Astafurova, Irina I. Kulagina
    Work direction:
    Глава 5
    Abstract:
    Formation of human resources potential is an important task at the current stage of economic development of Russia. Digitalization of the economy gives rise to problems, including the risk of reduced employment stability (due to the fact that artificial intelligence replaces human resources and reduces the number of jobs) and the need to retrain specialists both within the region and their migration to areas with a shortage of labor resources. The difference between supply and demand in the labor market is explained by many factors. This may be a national problem – an excess of graduates in humanities and social sciences, which leads to a situation where candidates are forced to look for work unrelated to their education. Or these may be regional reasons. This problem can be reduced by the sphere of additional education, which allows retraining and developing the necessary competencies for applicants. Identification of the complex effect of the influence of various factors on the successful employment of citizens; is a time-consuming, complexly structured scientific task, for which it is proposed to use cognitive modeling. Based on the constructed model, scenarios for the development of labor resources are determined, taking into account regional peculiarities; assessment of the needs of the region in training and retraining of personnel. Their analysis and selection of the most promising scenarios from the standpoint of minimizing the costs of retraining citizens, as well as the constructed functional models of the procedure for selecting candidates among unemployed citizens for additional training (a model reflecting the current state of the research object and models reflecting possible scenarios for the development of the research object) can become the basis for developing a methodology for selecting candidates for additional training for a program that meets the needs of the citizen and the existing offers in the region.
    Keywords:
    human capital, labor market, additional professional education, labor resources, functional modeling, personnel reserve, employee competitiveness, unemployed citizens, economic and mathematical models, cognitive modeling
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  • Primenenie sredstv STEAM-obucheniia v shkole

    Book Chapter
    Modern Challenges of Education and Psychology of Personality Formation
    Authors:
    Svetlana M. Koniushenko, Mariia O. Komissarova, Zarina N. Khisametdinova
    Work direction:
    Глава 14
    Abstract:
    The chapter examines the results of a study on the content of the concepts of STEAM learning tools: «gamification», «game mechanics». The authors justified the relevance of their application in the educational process of STEAM teaching mathematics as a new learning tool is substantiated. The key to gamification lies in its ability to make mathematics relevant and exciting by fostering a positive relationship between learners and this important subject.
    Keywords:
    game, gamification, STEAM-learning, game mechanics, mathematical education of students
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  • Some aspects of the development of functional literacy of students in computer science lessons

    Research Article
    Development of education Volume 7 No 3
    Author:
    Irina A. Dudkovskaia
    Work direction:
    Pedagogy and Modern Education
    Abstract:
    The article discusses some aspects of the development of functional literacy of students in computer science lessons. The author reveals the essence and content of functional literacy, the main components of functional literacy, and the signs of a functionally literate person. A solution to the problem of developing students' functional literacy within the framework of the implementation of the updated Federal State Educational Standard is proposed through the use of teaching methods and techniques, forms, tools, techniques and tasks aimed at developing students' functional literacy. This approach is possible when teaching computer science, since computer science is one of the subjects in which functional literacy can be most effectively developed. In computer science lessons, it is possible to use elements of a large number of educational technologies that make it possible to successfully develop the functional literacy of a future graduate who is able to adapt to the changing conditions of modern life. The purpose of the study is to identify opportunities for developing functional literacy of students in computer science lessons. The methodological basis of the article is a complex of general scientific, paradigmatic and instrumental approaches. The results obtained can be used as a resource for expanding the factual base in the application of various teaching methods for the development of functional literacy of students.
    Keywords:
    reading literacy, financial literacy, computer science, functional literacy, mathematical literacy
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  • Economic Aspects of Automation of Production Management of a Modern Enterprise (by the Example of Kaluga Pjsc Cadvi)

    Book Chapter
    Development of the Russian socio-economic system: challenges and prospects
    Authors:
    Vladimir N. Kruglov, Dmitrii V. Tiutin
    Work direction:
    Глава 8
    Abstract:
    The chapter examines algorithms for improving automated production management systems. The epistemological roots of various stages of the process are analyzed: automated control systems (ACS), automated production development systems (APS), computer-aided design (CAD) systems and Robotic Process Automation (RPA), as a developing technology involving bots that imitate human actions. The relevance of the problems raised lies in the lack of alternatives to innovative development for the domestic economy. This concept inherently includes a component of artificial intelligence associated with the implementation of automated control systems in production cycles. Using the example of Kaluga PJSC CADVI, the authors prove the effectiveness of introducing self-developing technologies for management activities. Systemic, complex, process and situational types of analysis are used. Layers of monographic and statistical developments are taken as the initial base. Specific proposals are given for choosing the most effective and reasonable platforms, taking into account current production realities.
    Keywords:
    management, competitiveness, outsourcing, automation, production, informatization, economic effect, life cycle, functional connections, mathematical analysis
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  • On the issue of multi-level educational tasks in mathematics for an engineering and mathematics class

    Book Chapter
    Theoretical and practical aspects of pedagogy and psychology
    Author:
    Vladimir A. Sapegin
    Work direction:
    Глава 11
    Abstract:
    The chapter discusses multi-level math assignments for an engineering and mathematics class. The requirements for mathematical questions, mathematical dictation, mathematical exercises and educational tasks for students of three level groups (proposed by the author) are highlighted and justified. The training tasks on the topic «Irrational equations with parameters» are given in accordance with the presented requirements.
    Keywords:
    multi-level learning tasks, multi-level learning exercises, multi-level questions, multi-level mathematical dictation, tasks with parameters, level groups, engineering and mathematics class
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  • L. F. Magnitsky and his "Arithmetic": based on publications of the XIX – early XX centuries

    Conference Paper
    Pedagogy, Psychology, Society
    Author:
    Alexander N. Pozdnyakov
    Work direction:
    Общая педагогика, история педагогики и образования
    Abstract:
    The presented work, based on materials published in the XIX – early XX centuries, traces the main stages of the life and organizational and pedagogical activity of Leonty Filippovich Magnitsky, a mathematician, author of the first printed work in this field in Russia, shows the features of the textbook and its place in the educational literature
    Keywords:
    the origins of Russian education, the formation of Russian pedagogical thought, the school of mathematical and navigation sciences
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