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List of publications on a keyword: «mathematics»

  • 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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  • Analysis of Applied Problems in Modern Textbooks of Algebra and Geometry from Positions of the FSES BGE Requirements

    Research Article
    Development of education No 4 (6)
    Author:
    Aleksandr V. Bychkov
    Work direction:
    Education system in Russia
    Abstract:
    The article discusses the concept of «mathematical literacy», which is important from positions of the PISA international studies requirements. There are three types of activity (formulation of the situation mathematically, application of mathematics, interpretation of the result), the possession of which is checked in the PISA study. The article presents the subject results formulated in the FSES of BGE, on the study of which the subject area «Mathematics» is aimed, reflecting the need for the formation of selected components of mathematical literacy in students. The article presents the results of the analysis of tasks presented in the most common textbooks on algebra and geometry of the main school. The purpose of the analysis was to identify the presence of practice-oriented tasks in textbooks that meet the requirements of the FSES of BGE and the requirements of diagnostic tools used in international PISA studies. During the study the following methods were used: comparison, analysis, theoretical. The study was based on the most frequently used in school practice textbooks of the following authors: L.S. Atanasyan, V.F. Butuzov, S.B. Kadomtsev, E.G. Poznyak, I.I. Yudina, L.S. Atanasyan, V.F. Butuzov, etc. Result: the article presents the results of the analysis of the problem material presented in the most common textbooks on algebra and geometry of the general school. On the basis of the analysis of three author's lines on the study of geometry in the general school, common problems are identified. An example of a practical problem, confirming the conclusions, formulated during the analysis is given. The authorcomes to the conclusion that there is still lack of practice-oriented tasks in modern textbooks on algebra, helping to motivate students to conscious assimilation of mathematical facts and statements, providing the formation of the ability to model on the basis of a real, life situation.
    Keywords:
    international PISA studies, FSES of BGE, disadvantages of national tasks, formulating situation mathematically, application of mathematics, interpretation, algebra, geometry
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  • Inclusion of students of non-mathematical profiles of pedagogical universities in research activity in mathematics as a means of formation of positive learning motivation

    Research Article
    Development of education No 3 (5)
    Authors:
    Svetlana V. Geibuka, Yuliya N. Kovshova
    Work direction:
    Theoretical and applied education research
    Abstract:
    The purpose of the article is to consider the influence of the involvement of students of non-mathematical profiles in research activities in the field of mathematics on their motivation to study mathematical disciplines. Using theoretical and empirical methods, the hypothesis of students’ positive motivation formation in this way was tested. The inclusion of research tasks into the process of teaching mathematics is described. The results of the questionnaires are given, conclusions are drawn in the article.
    Keywords:
    motivation, research activity, teaching mathematics, pedagogical university, teacher education
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  • The use of cloud technologies while teaching future speech therapists (on the example of special «mathematics teaching technique» discipline)

    Research Article
    Development of education No 2 (4)
    Author:
    Inna M. Zentsova
    Work direction:
    Theoretical and applied education research
    Abstract:
    The article is devoted to the features of using cloud technologies in training future speech therapists. The subject of the analysis is cloud services. The purpose of the article is to reveal cloud technologies allowing to increase the effectiveness of training on the example of the discipline «Special methods of teaching mathematics». The research is based on experimental and theoretical methods. The tasks based on cloud technologies in the field of methods of teaching mathematics are offered. The results of the study can be used by teachers of higher educational institutions for organization of academic activity.
    Keywords:
    future speech therapists, cloud technologies, special mathematics teaching methods, Federal State Educational Standard of Higher Education
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  • Application of information technology for gradual formation of competences at the university

    Research Article
    Development of education No 1 (1)
    Author:
    Tatyana A. Selemeneva
    Work direction:
    Theoretical and applied research in education
    Abstract:
    The article is devoted to the problem of realization of the competence approach in education. The subject of the research is competence-oriented teaching mathematics at the University. Information technologies are an important means of improving the efficiency of this process. The choice of technologies is based on stages of competence formation. As a result, priority types of applied information technologies are allocated for each stage.
    Keywords:
    information technology, competence approach, competence, stages of competence formation, university education, teaching mathematics
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