Пропедевтические курсы математики в условиях непрерывного образования

Пропедевтические курсы математики в условиях непрерывного образования

Propaedeutic Mathematical courses

in the context of continuous learning

, V.I. Gromyko

Bauman Moscow State Technical University, Moscow, 105005, Russia

Lomonosov Moscow State University, Moscow, 119991, Russia

The analysis of system-information culture showed that the activity of each individual

had become an interdisciplinary. It occurs in a continuous cognition, it is a life in science

passing in the Internet tool environment. Professional perception of every specialty re-

quires natural science super subject authenticate acknowledge. Symbolic idea objectifi-

cation requires the development of cognitive natural science function of the individual

due to the precise expression of the meaning i.e. mathematical language of categories.

The following conclusions relating to training personnel substantial in the age of systems

have been drawn. In the context of continuing education and life in science the tradition-

al training should be expanded by super subject universal education. The authors present

a new rational model of learning in which the category language is applied to as strate-

gic integration of the student’s educational space. Category language as ABC of mean-

ings provides self-organization of the student’s subconscious. Propaedeutic courses as a

part of the rational model serve integrating tactical disciplines by using over subject ed-

ucational space. For each student propaedeutic courses form personal educational space

of meanings that inherits integrity of super subject educational space. Examples of the

training material preparation for the propaedeutic courses in mathematics are given. The

full practical implementation of a new model of learning needs the formation of instru-

mental learning environment that supports student’s work in an interdisciplinary elec-

tronic library. This is necessary for rapid delivery of adaptive aid to a student.

Keywords:

system-information culture, rational education,

super subject, awareness,

self-organization, universal algebra, propaedeutic course, universal tutoring, category

language, system axiomatic method, intellectual tutoring system.

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