Interrelationships of Functional Indicators in The Learning Process

Аннотация

The article is devoted to determining the interrelationships of a functional set of indicators in the learning process using ergonomics in calculating the quality of learning.

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Khaldarov Hikmatulla Akhmatovich. (2025). Interrelationships of Functional Indicators in The Learning Process. CURRENT RESEARCH JOURNAL OF PEDAGOGICS, 6(01), 58–63. https://doi.org/10.37547/pedagogics-crjp-06-01-14
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Current research Journal of pedagogics

Ключевые слова:

Аннотация

The article is devoted to determining the interrelationships of a functional set of indicators in the learning process using ergonomics in calculating the quality of learning.


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CURRENT RESEARCH JOURNAL OF PEDAGOGICS (ISSN: 2767-3278)

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VOLUME:

Vol.06 Issue01 2025

DOI: -

10.37547/pedagogics-crjp-06-01-14

Page: - 58-63

RESEARCH ARTICLE

Interrelationships of Functional Indicators in The Learning
Process

Khaldarov Hikmatulla Akhmatovich

Candidate of Technical Sciences, Associate Professor, Department of Information Technologies and Systems, Tashkent State

Pedagogical University named after Nizami, Uzbekistan

Received:

25 November 2024

Accepted:

28 December 2024

Published:

30 January 2025

INTRODUCTION

The purpose of this research paper is to determine the
functional relationships of the indicators involved in the
design of educational systems using ergonomic modeling
to calculate the quality of acquired knowledge.

Designing an educational process management system is
one of the complex tasks that requires an opinion "from in
female to suprema ale", i.e. "from the verbal level to the
lower" of the learning system, determining the functional
relationships of the indicators involved, for its
implementation.

In the process of analyzing and synthesizing the
educational process, in order to develop and create a
system for optimal management of the educational process,
in order to calculate the quality of knowledge acquisition,
it is necessary to conduct research and determine the
participation of components at all levels and stages of
management.

Materials

: This study needs to be conducted at four levels:

- at the first level of the training system, it is necessary to
determine the topics, disciplines, and courses used in the
educational process to train a specialist;

- at the second level, to establish functional relationships
between the participating indicators: factors, properties
and parameters for the organization of the learning process;

- at the third level, to establish a logical scheme of
interrelation (LSV) between the studied topics, disciplines,
courses;

- at the fourth level, establish an information relationship
that will accumulate the acquired knowledge of students in
the learning process.

To implement the above, it is necessary to systematically
determine their relationships by levels in the system and
theoretically prove their location using the theory of
systems [1], their interrelationships [2].

And this requires the definition of the functional
interrelationships of all the involved indicators of the
learning process in the acquisition of knowledge, at each
stage of the learning system, which: determines, finds,
presents the necessary information for timely and accurate
calculation of the quality of the acquired knowledge of the
learner.

ABSTRACT

The article is devoted to determining the interrelationships of a functional set of indicators in the learning process using

ergonomics in calculating the quality of learning.

Keywords:

Quality, ergonomics, mathematics, modeling, knowledge acquisition, design, functional, indicators, level, system, analysis, synthesis.


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From the above, the design of the learning process should
be based on a systematic approach [2,3], where, after
analyzing

the

learning

process,

the

information

relationship between the topics, disciplines and courses of
the entire learning process is determined.

METHODS

In the process of researching the education system in the
training of specialists, synthesizing the process of
acquiring knowledge, we determine by the levels of the
learning system and using a logical relationship from the
lower level from the 1st year to the verbal through the 4th
year, i.e. the entire learning process at the university.

The system of the educational process can be represented
as in Figure 1, where the connection between the elements
and subsystems is carried out by acquiring knowledge from

the lower to the verbal level.

There are the following transitions:

- from one state of the learner to another, i.e. the acquisition
of new knowledge;

- each subsequent lesson leads to the acquisition of new
knowledge;

- from one level to another, i.e. the transition from course
to course, etc.

In solving this problem, it is necessary to develop a
research methodology for the educational system of quality
management of the learning process in the acquisition of
knowledge, which can be described using the theory of
systems [1] and system analysis [2].

Figure 1. Structural diagram of the education system.

If the educational system is represented in the form of a
pyramid (Figure 1), consisting of MϵM models [8]
(subjects of study), acquired knowledge across the entire
level of the Mlϵs system, then the transition from course to
course is carried out, covering all acquired knowledge of
the suprele in specialist training.

RESULT

In conducting research on the learning process, using set
theory and mathematical logic, we will describe the
educational process system in the following terms, for
example: topics and disciplines studied in the process of
training in specialist training - S, teaching methods using

pedagogical technologies – T, simulation models of the
topics and disciplines studied – M [8-11], input data, (i.e.

the topic being studied, after each lesson) – A, output data,
i.e. acquired knowledge after each study of the topic,
discipline by the trainees – R.

From the point of view of formalizing the education
system, capitalizing many functions, the process of
acquiring knowledge, is presented in the following form

< S, M, T, R > (1).

For the complete functioning of the management system, it


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is necessary to enter input data - A, at all levels of the
learning process, i.e. topics, discipline, etc., taking into
account formula 1, which can then be rewritten as follows

< S, A, M, T, R > (2).

Since all the parameters involved in the acquisition of
knowledge are variable, which depend on the disciplines
studied (depending on their specialization), it is necessary
to take into account the restrictions imposed by them – C,
in terms of: time, volume of allocated hours, workload,
disciplines, then formula (2) will be rewritten as follows

< S, A, C, M, T, R> (3).

This formula (3) is complete, since all the functions and
parameters of the education quality management system
are taken into account, and on the basis of which it is
possible to develop a logical scheme for the relationship of
topics, disciplines, courses, formula 4.

< S ˃ <A,C ˃ <M,T ˃ < R ˃ (4).

When conducting research in the form of a complex
educational system, taking into account the factors
involved, properties and parameters, formula 4 is written
in the following form (formula 5), where the participating
subsystems of the research object, i.e. the learning process

< Sϵs ˃ <Aϵa, Cϵc ˃ <Mϵm, Tϵt ˃ <Rϵr˃ (5).

where: - a is input information, i.e. data on the topic of the
discipline being studied, - r is output information, this is
acquired knowledge after studying each topic of the lesson,
m is a simulation model of each topic included in the
discipline, t is teaching methods (pedagogical teaching
technologies), c is imposed restrictions (on the number of
hours, by subjects, by semesters, etc.) for each conducted
topic - s.

DISCUSSION

In designing the learning process (in the quality

management system), it is necessary to determine the
continuity of connections between the topics of disciplines
and courses, taking into account the graduate specialist or
specialization, then we will write the formula in the
following form

S1 ⸦ S2 ⸦ S3 ⸦ ... Sn-1 ⸦ Sn (6).

It is also necessary to determine the information
relationships between the classes being taught - the
subjects being studied S according to the levels of the S 1n
system, i.e. the continuity /continuity between courses, for
example, for the first level it will be defined as follows

S11 ⸦ S 12 ⸦ S 13 ⸦ ... S1n ⸦ S1n (7).

Also, we will keep records of classes on each topic and on
the disciplines of the learning process using formula 5

Snϵs, Anϵa, Cnϵc, Mnϵm, Tnϵt, Rnϵr, Кnϵk (8).

Since the education system being developed is multilevel
and multifaceted, we will rewrite formula 8 taking into
account the interrelationships between levels 1-4 courses,
as well as the disciplines studied.

Snlϵs, Anlϵa, Cnlϵc, Mnlϵm, Tnlϵt, Rnlϵr, Кnlϵk (9).

For the study of classes of the learning process, you need
to enter input data – knowledge - and to choose the model
- following subject – m, to choose the method of learning -
t, for a given imposed restriction, and the result – acquired
knowledge - r.

The design of the subsystem of quality management of the
educational process [3] in the acquisition of knowledge is
the theoretical part of the management system, which
determines the relationship between topics, disciplines and
courses.

Based on the above, in order to conduct classes, it is
necessary to build a logical knowledge acquisition scheme
(SDR), with which classes are conducted Figure 2.


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Figure 2. Logical scheme of knowledge acquisition.

The logical scheme is designed to carry out only one topic
of the discipline, in the process of functioning of the quality
management system using this scheme, it can similarly
continue for the next topic. To acquire knowledge of the

next topic of the learning process, the learned result from
the first lesson, r1, will be the input information for the next
topic, i.e. r1–a2, and so on in stages until the completion of
the study of the discipline, which will be cyclically
repeated (the learning process Figure 3).

Figure 3. A logical diagram of the interrelationships of topics/disciplines in the

acquisition of knowledge.

And thus, the entire cycle of classes will continue in the
same way, with the following topics of the discipline.

Since the developed subsystem of the UKOP is an integral
part of the automated control system of an educational
institution, the managing and integral part of the program

must meet all the requirements of the customer, i.e. HEU,
because of this, he must take into account all its
requirements. When developing such a system, it is also
necessary to take into account the life cycle (LC) of the
control system at all its levels, i.e. periodic adjustment of
the control system at the request of the customer, due to
which it will be increased.

m

t

S

c

a

r

m

1

t

1

S

1

c

1

a

1

r

1

m

2

t

2

S

2

c

2

a

2

r

2


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Figure 4. The dynamics of the education process in HEU

In the educational system, one of the important factors is
continuity in education, which is associated with the
periodic variation of the disciplines studied in the training
of specialists, which is shown in Figure 4.

This is determined during the operation of manufactured
products in production, where various defects /

malfunctions appear, which, with the help of calculations,
the manufacturer completes his shortcomings / gaps,
because of this, the customer offers the educational
institution in advance the introduction of new disciplines
and courses into the educational process.

From Figure 4, it is possible to imagine the dynamics of
the variation of the learning process in the training of HEU
specialists, where it is necessary to take into account the
adjustment of the "customer" in the training of specialists.
Logically, depending on the design and training of the
specialist, the sequence of the studied disciplines of the
learning process will be designed in such a way that it will
be oriented for the training of future specialists on request.
From this figure, it can be seen that on the part of the
methodologist, the scientific organization presents

knowledge to the student, sequentially one after another
according to the principle "from simple to complex" with
increasing knowledge acquisition and taking into account
the introduction of new disciplines, is periodically carried
out by order of the employer.

CONCLUSION

Currently, the design of modern education systems is a
time requirement in order to promptly answer all the
questions of the "customer" in the training of specialists for
various purposes.

And this, in turn, requires a systematic approach, and
through analysis and synthesis of the object of research,
i.e., education as a whole, which will enable periodic
forecasting and adjustment of the management system.

Currently, the opening of new educational institutions of
various fields and specialties is becoming "competitive".
With the help of a systematic approach, over time, it will
gradually find its solution, and analysis and synthesis will
help in this in the training of sought-after specialists in
various fields.

1 семестр

2 семестр

3 семестр

4 семестр

5 семестр

6 семестр

7 семестр

8 семестр

1 курс

2 курс

3 курс

4 курс


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REFERENCES

Takahara E.Theory of Systems. Moscow: Mir Publishing
House, 1971, p. 187.

Zhuk K.D. System research of logic–dynamic management
systems. Kiev. Naukova Dumka Publishing House. 1977
180 p .

Zhuk K.D., Timchenko A.A. Computer–aided design of
logical-dynamic systems. - Kiev, Naukova Dumka, 1981,
p. 317.

Kabulov V.K., Kabulov A.V. Arithmetic, logical, and
algorithmic foundations of computers. –T: "Fan va
texnologiya". 2017, p. 300.

Buslenko N.P., Kalashnikov V.V. Modeling of complex
systems. Moscow: Nauka Publ., 1978, p. 355.

Kalashnikov V.V. Organization of modeling of complex
systems. Moscow: Znanie Publ., 1982.

Voronina E.P. Pedagogical ergonomics. The monograph.
Voronina E.P. – Ishim: IGPU Publishing House, 2006, 122
p.

Khaldarov H.A. A program for modeling the learning
process. Agency for Intellectual Property of the Republic
of Uzbekistan. Certificate no. DGU 29085. Tashkent,
11/14/2023.

Khaldarov Kh.A., Primkulova A.A., Jabbarova I.R.
Building a mathematical model of the learning process
using ergonomics. Proceedings of the international
interdisciplinary

conference

GLOBAL

TECHINNOVATIONS, Samsun, Turkey. October 31,
2020, pp. 114-118.

Khaldarov Kh. A., Primkulov A. A., Jabbarov I. R.
MATRIX METHOD IN THE STUDY OF THE
LEARNING

PROCESS

USING

ERGONOMICS.

International Innovation Magazine. Engineering and
management studies. A peer-reviewed international open
access journal. ELSEVIER Magazine, November 19, 2020
Volume 09, issue 11, Pages: 77-80.

Khaldarov Kh. A, Primkulova A. A., Urakova Sh. B., THE
CONSTRUCTION

OF

THE

MATHEMATICAL

MODEL OF THE LEARNINGPROCCESS WITH THE
HELP OF ERGONOMICS. International Journal for

Innovative. Enjineering and Management Research. A
Peer reviieved Open Access International Journal.
ELSEVIER SSRN. 19th Nov 2020. Volume 09, Issue 11,
Pages: 72-76.

Khaldarov H. A. Research of sensitivity to external
parameters the learning process with the help of
ergonomics in the acquisition of knowledge. Technical
sciences № 1(2021) DOI http://dx.doi.org10.26739/2181-
9696-2021-1, volume 4, issue 1, p. 50-55.

Халдаров Х.А., Примкулова А.А., Жаббарова И.Р.
Исследование приобретение знаний с помощью
эргономических моделей. SCINTIFIC IDEAS OF
YOUNG

SCIENTIFIC.

POMYSLY

NAUKOW

MLODYCH

NAUKOWE.

SCITNTIFIC

AND

INTERNATIONAL CONFERENCE, 2021, MARCH-
APREL, WARSAW, POLLAND-P. 49-51.

H.Khaldarov., About one approach to determining
audience voiced in the process of learning with the help of
ergonomics. Word Bulletin of Social Sciences (WBSS)
Available

Online

of:

https://www.scolarexpress.net

vol.8,March,2022. p.87-91.

H.Khaldarov., Calculation of the radial type of audience in
the process of learning with the help of ergonomics. Word
Bulletin of Social Sciences (WBSS) Available Online of:
https://www.scolarexpress.net vol.8,March,2022.p.92-97.

Grunbеrg J., Summеrs M. Cоmputеr innоvаtiоn in schооls:
а rеviеw оf sеlеctеd rеsеаrch litеrаturе // J. Оf Inf.
Tеchnоl. Fоr Tеаchеr Еducаtiоn. 1992. V.1.PP.255-276.

Shаrplеs M, Tаylоr J, Vаvоulа G. А thеоry оf lеаrning fоr
thе mоbilе аgе. In: Mеdiеnbildung in Nеuеn
Kulturräumеn. VS Vеrlаg für Sоziаlwissеnschаftеn; 2010.
pp. 87-99 .

Халдароов Х.А. Моделирование кольцевого вида
процесса обучения с помощью эргономики. Sentific
Journal, SCHOLAR, (ISSN 2181 - 4171) Volume 2, Issue
1, January, 2024/1, p. 4

Библиографические ссылки

Takahara E.Theory of Systems. Moscow: Mir Publishing House, 1971, p. 187.

Zhuk K.D. System research of logic–dynamic management systems. Kiev. Naukova Dumka Publishing House. 1977 180 p .

Zhuk K.D., Timchenko A.A. Computer–aided design of logical-dynamic systems. - Kiev, Naukova Dumka, 1981, p. 317.

Kabulov V.K., Kabulov A.V. Arithmetic, logical, and algorithmic foundations of computers. –T: "Fan va texnologiya". 2017, p. 300.

Buslenko N.P., Kalashnikov V.V. Modeling of complex systems. Moscow: Nauka Publ., 1978, p. 355.

Kalashnikov V.V. Organization of modeling of complex systems. Moscow: Znanie Publ., 1982.

Voronina E.P. Pedagogical ergonomics. The monograph. Voronina E.P. – Ishim: IGPU Publishing House, 2006, 122 p.

Khaldarov H.A. A program for modeling the learning process. Agency for Intellectual Property of the Republic of Uzbekistan. Certificate no. DGU 29085. Tashkent, 11/14/2023.

Khaldarov Kh.A., Primkulova A.A., Jabbarova I.R. Building a mathematical model of the learning process using ergonomics. Proceedings of the international interdisciplinary conference GLOBAL TECHINNOVATIONS, Samsun, Turkey. October 31, 2020, pp. 114-118.

Khaldarov Kh. A., Primkulov A. A., Jabbarov I. R. MATRIX METHOD IN THE STUDY OF THE LEARNING PROCESS USING ERGONOMICS. International Innovation Magazine. Engineering and management studies. A peer-reviewed international open access journal. ELSEVIER Magazine, November 19, 2020 Volume 09, issue 11, Pages: 77-80.

Khaldarov Kh. A, Primkulova A. A., Urakova Sh. B., THE CONSTRUCTION OF THE MATHEMATICAL MODEL OF THE LEARNINGPROCCESS WITH THE HELP OF ERGONOMICS. International Journal for Innovative. Enjineering and Management Research. A Peer reviieved Open Access International Journal. ELSEVIER SSRN. 19th Nov 2020. Volume 09, Issue 11, Pages: 72-76.

Khaldarov H. A. Research of sensitivity to external parameters the learning process with the help of ergonomics in the acquisition of knowledge. Technical sciences № 1(2021) DOI http://dx.doi.org10.26739/2181-9696-2021-1, volume 4, issue 1, p. 50-55.

Халдаров Х.А., Примкулова А.А., Жаббарова И.Р. Исследование приобретение знаний с помощью эргономических моделей. SCINTIFIC IDEAS OF YOUNG SCIENTIFIC. POMYSLY NAUKOW MLODYCH NAUKOWE. SCITNTIFIC AND INTERNATIONAL CONFERENCE, 2021, MARCH-APREL, WARSAW, POLLAND-P. 49-51.

H.Khaldarov., About one approach to determining audience voiced in the process of learning with the help of ergonomics. Word Bulletin of Social Sciences (WBSS) Available Online of: https://www.scolarexpress.net vol.8,March,2022. p.87-91.

H.Khaldarov., Calculation of the radial type of audience in the process of learning with the help of ergonomics. Word Bulletin of Social Sciences (WBSS) Available Online of: https://www.scolarexpress.net vol.8,March,2022.p.92-97.

Grunbеrg J., Summеrs M. Cоmputеr innоvаtiоn in schооls: а rеviеw оf sеlеctеd rеsеаrch litеrаturе // J. Оf Inf. Tеchnоl. Fоr Tеаchеr Еducаtiоn. 1992. V.1.PP.255-276.

Shаrplеs M, Tаylоr J, Vаvоulа G. А thеоry оf lеаrning fоr thе mоbilе аgе. In: Mеdiеnbildung in Nеuеn Kulturräumеn. VS Vеrlаg für Sоziаlwissеnschаftеn; 2010. pp. 87-99 .

Халдароов Х.А. Моделирование кольцевого вида процесса обучения с помощью эргономики. Sentific Journal, SCHOLAR, (ISSN 2181 - 4171) Volume 2, Issue 1, January, 2024/1, p. 4