DEVELOPMENT OF PEDAGOGICAL TECHNOLOGIES IN
MODERN SCIENCES
International scientific-online conference
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ORGANIZATIONAL FOUNDATIONS FOR ORGANIZING
INDEPENDENT WORK IN MATHEMATICS IN AN INFORMATION-
BASED EDUCATIONAL ENVIRONMENT
Mirzamakhmudova Nilufar Tadjibayevna
Senior Lecturer, Fergana Polytechnic Institute
Orcid ID: 0009-0001-5031-6252
https://doi.org/10.5281/zenodo.14809804
Abstract:
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,
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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
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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 qualification graduation
works, master's monographs in mathematics in an information-based
educational environment.
Annotation of scientific literature is a special form of mathematical
knowledge of a person, consisting in listing and highlighting the main problems
of a particular scientific research being studied by the author. When annotating,
it is advisable to separately highlight the issues directly related to the
mathematical problem being studied, their aspects and content.
Making a synopsis of scientific literature. The term synopsis itself means a
brief description of the content of an article, book, monograph, speech, and other
similar creative work. Usually, there is an opinion that making a synopsis is
necessary to memorize and retain some material (lecture), but making a
synopsis is considered one of the more important methodological measures in
order to study the material being studied more deeply, from a different
perspective. For this, the synopsis should be short, fluent, complete, and clear,
because it is a product of a person's activity intended for reuse.
Numerous experiences have shown that when making a synopsis, the
source being studied should be read at least twice, because the first time you get
acquainted with the work, a general idea of it arises, and the second time its
main content is revealed and you begin to make a synopsis.
In the process of providing students with information about compiling a
synopsis, it should be emphasized that attention should be paid to its main
structural components: a hypothesis, its theoretical and experimental
verification, the identification of facts, empirical and theoretical generalizations.
Experimental methods, discussion of results, conclusions, etc. In particular, a
hypothesis is an assumption that there is some kind of regularity, reason
between a phenomenon or related phenomena; theoretical verification of a
hypothesis consists in comparing the assumed idea with the rules and principles
that have already been proven and exist in the scientific literature, as a result of
which it is determined that there is no logical contradiction between the
hypothesis put forward and those principles; events, phenomena identified and
recorded by researchers are called facts; empirical generalizations are the
unification of the phenomena of the subject based only on their external signs;
theoretical generalization is the combination of objects according to their
important signs of similarity, that is, according to the aspects that determine the
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specific nature of this phenomenon; the experimental methodology includes a
task for the research subjects, a description of the conditions for conducting the
experiment, the composition and number of subjects, and their
interrelationships.
When drawing up a synopsis, it is necessary to provide explanations for
unclear terms, use mathematical dictionaries, create a card index, and prepare a
bibliographic description (description of an article, contents of a book,
description of a multi-volume publication, etc.).
Acquiring skills in conducting an experiment can be carried out as follows:
1) organize activities to develop skills in the study of mathematical
research;
2) carry out a set of activities related to mastering experimental methods
and their application in various situations;
3) mastering and mastering simple methods for determining the level of
statistical reliability of the results obtained;
4) teach students to study correlations between empirical materials,
conduct dispersion and factor analyses, and determine the validity and
representativeness of methodologies;
The creation of a unified information environment of education is planned
to be organized on the basis of the following basic principles:
1. Fulfillment of the requirements of state educational standards created
for higher education.
2. Openness of information about all educational resources, teachers, and
means of providing the educational process available to students. For this, it is
necessary to organize an educational information environment, ensuring that all
information resources located in them are accessible to all higher pedagogical
educational institutions in the Republic.
3. The availability of opportunities for choosing the volume and content of
individual stages of the educational process, taking into account the individual
characteristics of students, and its flexibility, based on the curriculum and
programs.
4. The availability of the possibility of using remote information resources
based on the place of study, form, duration and technology of education,
including the use of computer technology. As well as the availability of
conditions for combining traditional technology with modern educational
technologies in teaching.
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5. Ensuring the readiness of students to methodically develop teaching
technologies and analyze the results achieved, based on the systematization of
educational subjects.
6. Creation of appropriate conditions for organizing effective
independence of participants in the educational process in an educational
institution or at home.
7. The possibility of organizing individual and group consultations with
students through the use of a computer network.
8. It provides for the use of educational and methodological complexes,
which are designed for placement on a computer network and stored in the form
of files, as the main tool for students to carry out their independent activities.
CONCLUSION.
The form of modeling depends on the models used and the areas
of its application. In the issue of the use of modeling in the organization (design)
and research of the effectiveness of information technologies, one can talk about
specific approaches to the creation of social models, which are called
"pedagogical modeling". The possibility of modeling, that is, the transfer of the
results obtained in the process of theoretical creation and research of models to
the original model, is based on the fact that the model in a certain sense reflects
(develops) some of its aspects and assumes the presence of relevant theories or
hypotheses that indicate the limits of simplicity allowed in modeling.
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