A Bi-Monthly, Peer Reviewed International Journal [353] Volume 7 Components of distance learning: distance teaching and distance learning (cognitive activity of
students). There is no consensus on the definitions of "distance learning". For example, A. A. Andreevgives
the following definition: "Distance learning can be defined as a purposeful, organized process of interactive
interaction of students with each other and with learning tools, invariant (indifferent) to their location in
space and time, which is implemented in a specific didactic system."
In the pedagogical encyclopedia, distance learning is understood as a technology of purposeful and
methodically organized management of educational and cognitive activities of students (regardless of the
level of education they receive) living at a distance from the educational center, which it can beused for any
form of training.
We define distance learning as a purposeful, systematic process of independent acquisition of
students ' knowledge, skills and competencies in the subject under study, organized andcontrolled at a
distance by teachers.
Summary of the main article material. In the last decade, distance learning has become more and
more popular in our country every year, and most Russian universities now have faculties of distance
education. It would seem that the problems of distance learning are sufficiently studied, and
recommendations are given on them in dozens of works by foreign scientists. However, if you look at it, the
main part of the research is of a general, overview nature or considers the field of teaching humanities or
special technical disciplines. The issues of teaching higher mathematics at the university are studied to a
small extent, and mathematics is quite difficult for some students to perceive, even with ordinary, traditional
teaching. And with the distance learning format, the perception of the material for individual students can
be even more difficult. At the same time, this
the discipline is extremely important in the educational process of the university, as it is fundamental for
studying other technical disciplines.
We offer the following methods and tools of distance learning for use in teaching higher mathematics
online.
Methods of "environmental" learning, they are a set of joint actions of the teacher and students to
organize the exchange of educational information and its perception, understanding and application using
distance learning technologies that are part of a specific information educational environment (Personal
Learning Environments – PLE, Personal Teaching Environment –PTE). B. E. Starichenko believes that
educational environments PLE, PTE are defined as follows: personal learning environment of a student
PLE-created by him in virtual space,
supported and developed own educational information resource (personal page in a social network, blog,
Twitter, or website); personal learning environment PTE – a set of components of the educational process
created, hosted, and maintained by the teacher himself in virtual space(content, forms, methods, and means
of teaching, communication tools) that provides individual and collaborative learning activities. educational
activity of students inthe percentage of mastering the discipline . Distance learning methods-are focused on
the individuality of each student, on their practical skills in applying the methods in practice. We actively
use a project-based approach in our work on distance learning for students, and we have discussed this in
detail in earlier articles. We will classify DOT funds on several grounds.
According to the nature of execution, all means of distance learning technologies can be divided into
groups:
• electronic learning tools (all computer-generated programs that are necessary for the educational process,
software pedagogical tools (programs executed by the EUS);
• electronic learning materials (documents submitted by a program that provides the creation of materials
by design).
According to the method of organizing educational activities in the process of studying mathematics,
you can apply the following classification:
1) programs used by students (reference systems, computer simulators;
research modeling programs; computer control programs);
2) a group of teacher's programs (demonstration modeling programs; individual task verification
programs).