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List of publications on a keyword: «mathematics»

  • Digital tools for enhancing the cognitive activity of high school students in the process of preparing for the Main State Exam in Mathematics

    Proceeding
    Modern educational process: psychological and pedagogical support, educational strategies
    Author:
    Михайлова Ева Евгеньевна
    Work direction:
    Инновационные технологии в образовании
    Abstract:
    This article addresses the problem of activating the cognitive activity of high school students in the process of preparing for the OGE, or the Basic State Exam in Mathematics, through the use of digital tools. A review of scientific works dedicated to both the activation of students' cognitive activity and the use of digital tools for this purpose has been conducted. The authors examine three aspects that encourage high school students to use digital tools in their exam preparation: 1) motivational; 2) the opportunity to independently identify problems, formulate hypotheses, and control their actions; 3) the achievement of new educational results that are difficult or impossible to obtain in traditional forms. As a result, a classification of digital tools and platforms such as Uchi.ru, Reshu OGE, Online Test Pad, FIPI, "YaKlass," and "Foxford" is presented, along with their advantages and disadvantages. This will further assist students in more accurately selecting suitable platforms
    Keywords:
    cognitive activity, digital tools, digitalization of education, high school students, digital educational resources, OGE (Basic State Exam) in Mathematics, learning activation
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  • Developing the Language Culture of a Future Mathematics Teacher: Content and Stages of Formation

    Proceeding
    Socio-Pedagogical Issues of Education and Upbringing
    Author:
    Natalia G. Matveeva
    Work direction:
    Содержание и технологии профессионального образования
    Abstract:
    The article discusses the current problem of forming a language culture as a key component of the professional competence of a future mathematics teacher. The author identifies and analyzes in detail three interrelated stages of this process in the system of professional education, emphasizing the integration of mathematical, logical, and methodological aspects of training.
    Keywords:
    logical thinking, pedagogical culture, mathematics teacher, Language culture, speech training, speech readiness
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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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  • Formation of students' functional literacy in mathematics lessons through solving word problems

    Proceeding
    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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  • Issues of designing in a pedagogical university courses for mass professional development of mathematics and physics teachers

    Book Chapter
    Psychological and pedagogical issues of modern education
    Authors:
    Tatiana K. Smykovskaia, Veronica A. Korsunova, Iurii V. Iukhanov
    Work direction:
    Глава 4
    Abstract:
    The procedures for designing advanced training courses as a pedagogical object are highlighted. The objectives, content, and control of advanced training courses for teachers of mathematics and physics, as well as models of educational organization, are described. Examples are given of the procedures developed at Volgograd State Socio-Pedagogical University for the implementation of the design procedures outlined by the authors for mass advanced training courses for teachers of mathematics and physics.
    Keywords:
    content, control, advanced training, online course, webinar, teachers of mathematics and physics, design procedures, model of the learning organization process
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  • Designing tasks for the formation of engineering thinking among mid-level specialists in ship navigation management in the conditions of postgraduate education

    Proceeding
    Pedagogy, Psychology, Society: from theory to practice
    Authors:
    Valerii R. Sagiian, Tatiana K. Smykovskaia
    Work direction:
    Теория и методика профессионального образования
    Abstract:
    The article raises the problem of developing sets of tasks for the formation of engineering thinking and systematization of mathematical knowledge among mid-level specialists in ship navigation management without interrupting their professional activities. The procedures for constructing different types of tasks included in sets of tasks on educational topics of advanced training are given, as well as examples of fragments of sets of tasks on individual educational topics.
    Keywords:
    teaching methods, mathematics, engineering thinking, set of problems, educational topic, ship navigator, postgraduation period, design procedure, types of tasks
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  • Technological and organizational aspects of the state final certification of future mathematics teachers in the format of a demonstration exam using the capabilities of the university's digital educational environment

    Book Chapter
    Modern issues of pedagogy and psychology: theoretical and methodological approaches and practical research results
    Authors:
    Tatiana K. Smykovskaia, Nikolai K. Sergeev, Aleksandr M. Korotkov, Marina V. Korepanova
    Work direction:
    Глава 13
    Abstract:
    In the chapter highlights the technological and organizational aspects of the state final certification of future mathematics teachers in the format of a demonstration exam using the capabilities of the university's digital educational environment. Digital tools and resources that ensure the effectiveness of the preparation and conduct of the demonstration exam are described, as well as ways to support the process of preparation and participation of graduates of the pedagogical university in the demonstration exam. An example of the implementation of the state final certification of future mathematics teachers in the format of a demonstration exam at Volgograd State Socio-Pedagogical University is given to illustrate the highlighted technological and organizational aspects.
    Keywords:
    demonstration exam, competencies, digital educational environment, pedagogical education, mathematics teacher, digital tool, state final certification
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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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  • The methodology of using online courses in the subject-methodical training of a future teacher at a pedagogical university

    Proceeding
    Digitalization in the education system: best practices and implementation practices
    Author:
    Veronica A. Korsunova
    Work direction:
    Современные технологии обучения в условиях цифровой трансформации образования
    Abstract:
    This article discusses the importance of embedding online courses in the process of subject-methodical training of a future mathematics teacher in pedagogical universities. The author describes the methodology of using online courses in the process of subject-methodical training of a future mathematics teacher at a pedagogical university. The result of this training is the formation of readiness for methodological activities.
    Keywords:
    readiness, online courses, subject-methodical online course, methodical activity, subject-methodical preparation, future mathematics teacher
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  • Ispol'zovanie neirosetei v prepodavanii vysshei matematiki v tekhnicheskom vuze

    Book Chapter
    Modern educational technologies: psychology and pedagogy
    Authors:
    Iuliia A. Genvareva, Natalia G. Marchenkova
    Work direction:
    Глава 7
    Abstract:
    Due to the rapid development of information technology and artificial intelligence, the use of neural networks is becoming more widespread and significant in various fields of research and training. In higher mathematics, neural networks can be used to improve the learning process of students. For example, they can help create online courses tailored to the individual needs of students. Neural networks can analyze the results of students' work and offer individual recommendations for studying specific topics or problem areas. In addition, neural networks can be used to develop intelligent systems for automatic task verification and pattern recognition. This can help teachers in the process of evaluating students' work and providing feedback. Neural networks can also diagnose problems in understanding the material and offer additional materials or exercises to consolidate skills. Neural networks can also be used to study complex mathematical problems and develop new approaches and methods in higher mathematics. Their ability to process large amounts of data and find complex patterns can help in the study of mathematical structure and the creation of new mathematical models. It is obvious that the use of neural networks in teaching higher mathematics opens up opportunities for more effective and individualized student learning, as well as for the development of mathematics itself. Therefore, this topic is relevant and interesting for further research and applications.
    Keywords:
    higher mathematics, technical university, neural network, methods of teaching higher mathematics
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  • The use of scrub technologies when working with English-language texts in mathematics lessons in an engineering classroom

    Proceeding
    Engineering education in the conditions of digitalization of society and economy
    Authors:
    Lidiia I. Agafonova, Tat'iana M. Petrova, Kseniia V. Trushnikova
    Work direction:
    Цифровые технологии в инженерном образовании
    Abstract:
    The article shows the possibilities of using scrub technology when working with English-language mathematical texts in mathematics lessons in engineering classes, and also provides examples from work experience. The authors describe the requirements for a scrub-presentation in a video format.
    Keywords:
    teaching mathematics, scribing, visibility, engineering class, level of assimilation, quality of assimilation, working with English text
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  • Organization of research work of engineering class students on the topic "Signs of a parallelogram and its particular types"

    Proceeding
    Engineering education in the conditions of digitalization of society and economy
    Authors:
    Kseniia V. Trushnikova, Anastasiia S. Odnobokova, Tatiana K. Smykovskaia
    Work direction:
    Инженерные классы: опыт и перспективы развития
    Abstract:
    The article shows by example the methodology of organizing research work in the study of mathematics in school by students of engineering classes. The developed methodology was tested in engineering classes of Lyceum No. 1 and 3 in Volgograd.
    Keywords:
    teaching mathematics, research work, engineering class, analogy method, counterexample, interactive tasks
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  • Formation of self-control in mathematics lessons for students of grades 5-6 as a condition for preparing for training in engineering classes

    Proceeding
    Engineering education in the conditions of digitalization of society and economy
    Authors:
    Iuliia A. Bondareva, Tatiana K. Smykovskaia
    Work direction:
    Инженерные классы: опыт и перспективы развития
    Abstract:
    The article presents various aspects of teaching in engineering classes, substantiates the role of self-control for the successful development of engineering thinking and improving the quality of teaching mathematics in engineering classes. The necessity and possibilities of forming self-control in students of grades 5-6 in the study of mathematics, which is the basis for the construction of educational mathematical activities, the organization of which is necessary for training in engineering classes, are shown.
    Keywords:
    self-control, preparation for specialized teaching of mathematics, engineering classes, educational mathematical activities
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  • Formation of readiness of future teachers of mathematics for the organization of teaching mathematics in engineering classes by means of online courses on the subject-methodical module

    Proceeding
    Engineering education in the conditions of digitalization of society and economy
    Authors:
    Veronica A. Korsunova, Irina F. Igropulo, Tat'iana M. Petrova, Anzhela A. Makhonina
    Work direction:
    Методические аспекты подготовки кадров для школьного инженерного образования
    Abstract:
    The article gives the author's understanding of the future teacher's readiness to teach mathematics to students of engineering classes. The role of online courses on the subject-methodical module in the formed indicated readiness is substantiated. An example of the use of the online course "Production (cince-research work) practice" for the formation of the readiness of the future teacher for the organization of teaching mathematics in engineering classes is presented.
    Keywords:
    online course, engineering class, readiness for the organization of teaching mathematics, subject-methodical module, formation of readiness of the future teacher
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  • Activation of students' independent work in teaching mathematics using case technologies and ICT

    Proceeding
    Digital transformation of education: actual problems, experience of solution
    Author:
    Natal'ia N. Ponomareva
    Work direction:
    Перспективы внедрения дистанционного, электронного и смешанного формата обучения в образовательных организациях разного уровня
    Abstract:
    Abstract: In this article, the author writes that case technologies and information and communication technologies (ICT) in mathematics lessons are of particular importance in the formation of sustainable motivation and independence of schoolchildren to study mathematics, the development of interest in learning in general, the formation and development of personality, providing quality education in mathematics. The article discusses interactive online platforms and applications that contribute to the development of cognitive interest in the subject. The article provides examples of solving mathematical problems using case situations
    Keywords:
    information and communication technologies, mathematics, Keywords: education, case technologies
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  • Visualization of educational material when teaching mathematics to foreign students of preparatory faculties of technical universities

    Proceeding
    Current trends in the development of education system
    Authors:
    Iuliia O. Gubskaia, Tatiana K. Smykovskaia
    Work direction:
    Образовательный процесс в профессиональной школе и среднем ПО
    Abstract:
    This scientific article discusses the importance and effectiveness of the use of visualization in teaching mathematics to foreign students at the preparatory faculties of technical universities. The analysis of the available visualization methods contains interactive demonstrations, graphs, diagrams, animations and other techniques that contribute to improving the understanding of mathematical concepts and stimulate the active participation of students in the educational process. This study also examines the advantages and limitations of visualization, offers recommendations for the effective use of this tool in teaching mathematics to international students.
    Keywords:
    preparatory faculty, international students, visualisation, visualization methods, mathematics teaching
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  • A collective way of teaching mathematics as a means of forming self-control among students of grades 5-6

    Proceeding
    Pedagogy, Psychology, Society
    Authors:
    Iuliia A. Bondareva, Tatiana K. Smykovskaia
    Work direction:
    Теория и методика обучения и воспитания
    Abstract:
    The article presents an overview of methodological approaches to the formation of self-control among students of grades 5-6 in the study of mathematics. The analysis of the state of this issue showed that in the works of D.B. Elkonin, G.A. Zukerman, V.L. Krutetsky, etc., the importance of self-control within the framework of organizing collective work in the classroom is indicated, and in the works of A.G. Mordkovich, Yu.M. Kolyagin, etc. when studying mathematics. It is proved that one of the means of forming self-control among students of grades 5-6 is a collective way of learning.
    Keywords:
    teaching mathematics, self-control, methods of studying numbers, collective way of learning
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  • Development of a technological map of a mathematics lesson on the Federal State Educational Standard

    Proceeding
    Pedagogy, Psychology, Society
    Authors:
    Tatiana K. Smykovskaia, Kseniia V. Trushnikova
    Work direction:
    Теория и методика обучения и воспитания
    Abstract:
    The article systematizes the material on the construction of the technological map of the lesson. An example of a step-by-step development of a math lesson for the 5th grade on the topic "Signs of divisibility by 3 and 9" and the author's version of filling out the technological map of the lesson is presented.
    Keywords:
    technological map of the lesson, lesson project, lesson on FGOS, lesson construction, modern lesson mathematics
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  • "AESTHETICR-SCIENTIFIC BIENNALE "MUSIC IS THE MATHEMATICS OF FEELINGS, AND MATHEMATICS IS THE MUSIC OF THE MIND!" AS A PRACTICE-ORIENTED PROJECT IN THE PREPARATION OF BACHELORS OF EDUCATION

    Proceeding
    Modern Problems and Technologies of Innovative Development of Education
    Authors:
    Irina I. Lupacheva, Daria V. Voronina, Oksana A. Pavlova
    Work direction:
    Psychological Support of Students in Hardship
    Abstract:
    The article is aimed at conducting and analyzing an educational event of an initial orientation as both part of the study of a mathematical discipline by future primary education teachers, and how interesting and accessible it is for a teacher to present this material to students. It is shown that math classes have their own educational potential for the formation of children's attention and interest, due to the non-standard presentation of the material as a tool for attracting new skills and abilities.
    Keywords:
    communication, discoveries, mathematics, music, events, non-standard approaches to the presentation of material, Pythagoras, scientists
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  • Contextual tasks in the course "Elementary Mathematics" for future subject teachers

    Proceeding
    The Development of Modern Education in the Context of Pedagogical Competenciology
    Authors:
    Maksim A. Koval, Tatiana K. Smykovskaia
    Work direction:
    Современные подходы в обучении и воспитании
    Abstract:
    The authors generalize approaches to understanding the essential characteristics of the concept of "contextual task", substantiate the role of such tasks for the subject preparation of a future teacher of mathematics. A typology of contextual tasks is given. The article presents examples of contextual tasks in the discipline "Elementary Mathematics" for students studying in the direction of Pedagogical Education profile Mathematics.
    Keywords:
    professional training, contextual task, mathematics teacher, elementary mathematics, learning content
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  • The experience of organizing the teaching of pedagogical university students in the discipline "Elementary Mathematics" using the resources of the technopark

    Proceeding
    Technopark of universal pedagogical competencies
    Authors:
    Maksim A. Koval, Tatiana K. Smykovskaia, Anzhela A. Makhonina
    Work direction:
    Теория и методика обучения и воспитания
    Abstract:
    The article presents the experience of building the process of teaching future teachers the discipline "Elementary Mathematics" on the basis of the technopark of universal pedagogical competencies of the Volgograd State Social and Pedagogical University. The technology of teaching the discipline "Elementary Mathematics" to students studying in the direction of Pedagogical education profile Mathematics is built, within which the integration of the model of station rotation and the use of an online course is carried out.
    Keywords:
    educational environment, Technopark, online course, contextual task, elementary mathematics, future teacher training, station rotation model
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  • Methodical of forming self-control in students of grades 5-6 when studying numbers

    Proceeding
    The Topical Issues of the Humanities and Social Sciences: from Theory to Practice
    Authors:
    Iuliia A. Bondareva, Tatiana K. Smykovskaia
    Work direction:
    Теория и методика обучения и воспитания
    Abstract:
    The article presents an overview of methodological approaches to the formation of self-control among students of grades 5-6 in the study of mathematics. The analysis of the state of this issue showed that in the works of A.A. Krylov, S.D. Yakushev and G.K. Selevko, etc., the importance of self-control within the framework of organizing independent work in the classroom and in the works of A.G. Mordkovich, Yu.M. Kolyagin, etc. in general, when studying mathematics on the example of a numerical line is indicated. It is proved that one of the means of forming self-control among students of grades 5-6 are assessment sheets, which include the objectives of studying the subject content, a route sheet for the lesson with the stages of academic work, a system of reflexive assessments.
    Keywords:
    teaching mathematics, self-control, independent work, assessment sheet, content-methodical line, methods of studying numbers
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  • Spetsifika prepodavaniia matematiki v tekhnicheskom vuze: opyt raboty

    Book Chapter
    Theoretical and practical aspects of pedagogy and psychology
    Authors:
    Iuliia A. Genvareva, Natalia G. Marchenkova
    Work direction:
    Глава 11
    Abstract:
    This scientific work examines the specifics of teaching the discipline «Mathematics» for students of technical and engineering specialties. The problems of teaching mathematics at the university are analyzed, as well as ways to overcome them are considered. The forms of work with students within the discipline that allow for high-quality mathematical training of future engineers are described in detail.
    Keywords:
    engineering education, mathematics, higher mathematics, methods of teaching higher mathematics at a university, technical education
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  • Teaching Materials in the Implementation of the Technology «Learning Through Teaching»

    Research Article
    Development of education Volume 5 No 4
    Authors:
    Elena A. Tolkacheva, Sergei G. Ivanov
    Work direction:
    Discussion
    Abstract:
    Introduction. The methodological support of the educational process is considered from the point of view of the didactic construction of the information environment of education using technical pedagogical tools in the implementation of the pedagogical technology "learning through teaching". To increase the complexity of the teaching content, the effectiveness of combining the "learning through teaching" approach with information technologies is considered proven. The most developed idea of such a combination is the introduction of a "pedagogical agent (comrade)", which carries out communication with the subject area and is an analogue of an expert system. From the point of view of designing an information learning environment, we can talk about using technical tools or their analogs as boundary objects. Horizontal interaction of participants with each other in the implementation of the technology "learning through teaching" generates new boundary objects that can be considered as the basis of methodological support of the educational process. The combination of these two approaches is the theoretical basis of part of the research carried out at the Department of Algorithmic Mathematics of SPBSET "LETI". Results. The role and place of teaching materials in the implementation of the technology "learning through teaching" is presented. The changes in the understanding of the content of teaching are confirmed not only in direct active "teaching", but also in the preparation of teaching materials.
    Keywords:
    teaching mathematics, learning through teaching, teaching materials, learning companion, horizontal linkages, boundary object, learning information environment
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  • Methods of Increasing Motivation and Quality of Potential Primary School Teachers’ Mathematical Education

    Research Article
    Development of education No 4 (6)
    Authors:
    Rimma V. Kanbekova, Elvira A. Izhbulatova, Liliya K. Salimova
    Work direction:
    Theoretical and applied education research
    Abstract:
    The article describes the implementation of project tasks in the study of rational and irrational numbers, presents the results of a questionnaire survey of students, potential primary school teachers, while studying the numerical line in a course on mathematics. The purpose of the article is to consider the effect of supplementing a material of a numerical line with original content on motivation when teaching mathematics to students of non-mathematical profiles. Methods. A questionnaire survey was conducted on the indifferent or negative attitude of students to the study of the rational and irrational numbers theory. Using theoretical and experimental methods, the hypothesis on the formation of positive motivation among students through the solution of project tasks, the compilation and implementation of which gives them a sense of independence, freedom of choice, success, is tested. Conclusions presented in the article are based on the results of the study. Due to the implementation of project tasks, students in the study of the discipline «Mathematics» felt the usefulness of the knowledge gained and showed high marks on exams. It is concluded that the teaching of the numerical line in the course on mathematics at the university using the techniques mentioned below in the article allowed to increase the level of positive motivation among students.
    Keywords:
    project tasks, motivation to study a numerical line, a course on mathematics, motivation factors, a sense of independence, freedom of choice, success
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