ORGANIZATIONAL FOUNDATIONS FOR ORGANIZING INDEPENDENT WORK IN MATHEMATICS IN AN INFORMATION-BASED EDUCATIONAL ENVIRONMENT

Аннотация

The article studies the theoretical foundations of the development of the methodology of independent educational activities of future teachers in digital education, the pedagogical content of the methodology of independent educational activities of future teachers in digital education, the effectiveness of the development of the methodology of independent educational activities of future teachers in digital education. Also, the methodological aspects of the development of the methodology of independent educational activities of future teachers in digital education are analyzed. Key words: digital education, pedagogue, independent learning, theoretical and methodological basis, competence, improvement, pedagogical, technological, model, didactic, professional pedagogical activity, innovative approach, mechanism, intellectual. INTRODUCTION. In higher education, the forms and methods of independent activity in mathematics in an informational educational environment are diverse and are the basis for independent study of the subject (field): annotating scientific literature, compiling a synopsis of primary sources, writing abstracts and reports, completing term papers and graduation qualification works, conducting experiments outside the classroom and analyzing the obtained quantitative results both quantitatively and qualitatively, etc. When determining the content of improving independent work in an informational educational environment, the importance of: taking into account the directions of higher education, incorporating the foundations of mathematics into the content, forming students' skills to independently apply their acquired knowledge in practice, developing their activity, increasing textbooks, improving the pedagogical knowledge and skills of mathematics teachers, popularizing and implementing advanced practices in practice is emphasized. LITERATURE ANALYSIS AND METHODS. Issues of developing the methodology of independent educational activities of future teachers in the context of digital education V.F. Newman, G.S. Diori, Marta R. Korbella, R.F. Sprol, 102 DEVELOPMENT OF PEDAGOGICAL TECHNOLOGIES IN MODERN SCIENCES International scientific-online conference A. Kroupley, P. Dripiyu, B. Crowell, D. Schaffer, G.V. Abramyan, V.V. Aleynikov, R.S. Arefyev, V. Bespalko, N. Gomulina, V.V. Davidov, R.Kh. Djurayev, A.R. Khodzhaboyev, N.A. Muslimov, Sh.S. Sharipov, Q.T. Olimov, O'.Q. Tolipov, M.B. Urazova, R.G. Isyanov, N.N. Azizkhodzhayeva, D.O. Himmataliyev, J.A. Hamidov, M.M. Aripov, U.S.H. Begimkulov, M.Ochilov, B.S. Abdullayeva, It has been studied by scientists such as S.D. Bazarova, N.A. Muslimov. Also, Angela Stof, Benjamin Blum, Brian Cole, Drapeau Patti, Jaslin Golberg, Merriembar Geron conducted research on the problems of developing the professional training, competence, and professional and pedagogical potential of teachers. RESULTS AND DISCUSSION. Independent work in mathematics in an informational educational environment is a component of the educational process in a higher educational institution and is carried out in the following areas: 1. Independent work on the topic and material of a lecture in mathematics in an informational educational environment: organizing one's notes (synopsis) after the lecture to understand and comprehend the main concepts and important mathematical issues presented in the lecture, making corrections and supplements to one's notes by studying the recommended educational literature, electronic literature, primary sources, obtaining additional texts from the sources read. 2. Improving independent work in the field of preparation for practical classes, seminars and laboratory work in mathematics in an informational educational environment: organizing information, composing questions, preparing answers, compiling lesson plans, preparing for questions and answers, participating in discussions, and performing practical work. 3. Independent work on the implementation of educational and cognitive tasks in writing abstracts, reports, term papers in mathematics in an informational educational environment. 4. Independent work on the implementation of educational and cognitive tasks in the field of control work (current, intermediate, final control work) in mathematics in an informational educational environment. 5. Independent implementation of educational and cognitive tasks related to qualification practices in mathematics in an informational educational environment: these include educational and cognitive tasks related to pedagogical practice, production practice. 6. Independent work on studying special courses and special seminars in mathematics in an informational educational environment: reading and studying 103 DEVELOPMENT OF PEDAGOGICAL TECHNOLOGIES IN MODERN SCIENCES International scientific-online conference literature on the topic of the lecture, preparing a text on a specific issue, preparing for a lecture, etc. 7. Independent work in the field of preparation of