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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Ontological Approach in Modern Educational Processes</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Kostiantyn Tkachenko</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Olha Tkachenko</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleksandr Tkachenko</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nataliia Mazur</string-name>
          <email>n.mazur@kubg.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Iryna Mashkina</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Borys Grinchenko Kyiv Metropolitan University</institution>
          ,
          <addr-line>18/2 Bulvarno-Kudryavska str., Kyiv, 04053</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute</institution>
          ,”
          <addr-line>37 Beresteyskyi ave., Kyiv, 03056</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>State University of Infrastructure and Technologies</institution>
          ,
          <addr-line>9 Kirillivska str., Kyiv, 04071</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>88</fpage>
      <lpage>97</lpage>
      <abstract>
        <p>It is proposed to use ontological modeling in modern learning processes (directly providing educational content to students, organizing educational processes, managing student knowledge control processes, etc.). The proposed ontological approach determines the recording and structuring of knowledge common to the subject area under consideration. This allows you to reuse ontological models built for individual academic disciplines, and individual educational processes as the basis of a unified knowledge model, which ensures logical consistency between individual ontologies when combined to organize and manage educational processes (including when developing a training course with a wide range of topics and tasks). Using an ontological approach is a very effective way to design intelligent learning systems. The constructed individual ontological models (by topic, training course, etc.) contribute to the design of a unified information learning environment in which the efficiency of all educational processes is increased. The proposed approach allows us to develop an infological model of any learning system (informational or intellectual), which fully reflects the pragmatics of the subject area being studied.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Ontology</kwd>
        <kwd>ontological modeling</kwd>
        <kwd>ontological approach</kwd>
        <kwd>educational process</kwd>
        <kwd>educational content</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Modern management processes are associated
with the processing of large information flows.
Widespread and comprehensive
computerization and digitalization in various
subject areas, for example, such as:
• Society.
• Public administration.
• Economy.
• Production.
• Science.
• Education system.</p>
      <p>Expands the information space of life in
these subject areas and complicates the
processes of making relevant decisions [1–2].</p>
      <p>As a result, a situation arises when:
• On the one hand, there is a lack of
necessary knowledge for the full
functioning and management of processes
in the subject area under consideration.
• On the other hand, there is a huge amount
of information available.</p>
      <p>All this makes information processing a big
problem for generating management decisions
in all areas of management, including in the
management of educational processes [3–7].</p>
      <p>Ontology is linked by the names of entities
and formal axioms that limit the understanding
and correct use of these terms [8, 9].</p>
      <p>Ontologies can be represented by the
following formula [8–10]:</p>
      <p>O = &lt;X, R, F&gt;,
where X is a set of concepts (elements, terms)
of the subject area, which is represented by the
ontology O.</p>
      <p>R is the set between the concepts of the
subject area under consideration.</p>
      <p>F is a set of interpretation (axiomatization)
functions defined on concepts and/or relations
of the ontology O.</p>
      <p>Thus, ontology can be considered as a certain
philosophical concept of a digital representation
of the reality of the corresponding subject area
(in our case, this is the education system in
general and/or the State University of
Infrastructure and Technology (SUIT) in
particular) or knowledge [11].</p>
      <p>Among the most common definitions,
ontology is understood as a specification of the
conceptualization of a representation of a
subject area or some artifact consisting of a
specific vocabulary for describing the specific
reality of a particular subject area [12, 13].</p>
      <p>To build ontologies, it is necessary to
represent the knowledge of the selected
subject area in such a way that it is, in
particular [11, 14, 15]:
• Easy to read/process/use/modify with
an appropriate computer program.
• Internally consistent.
• Complete.
• Capable of repeated use in different
contexts of one or more related subject
areas.
• Capable of using existing
representations (models, dictionaries,
thesauri, etc.) in describing the selected
subject area.</p>
      <p>That is why it is advisable to use ontologies
to reduce terminological and conceptual
ambiguity, for example:
• When in different subject areas different
names correspond to the same concepts.
• When in different subject areas different
concepts are understood under the same
name (or these concepts have different
semantics).
• When one concept has several
synonyms).</p>
      <p>Such ambiguity, arising in the education
system, can lead, for example, to such negative
consequences as:
• Incorrect interpretation of documentation
(in particular, in university document
management systems).
• Incorrect interpretation of documentation
by individual organizations of the
country’s education system.
• Misinterpretation of documentation by
individuals (for example, when using
different terminology for the same
subject area).
• Misinterpretation of training content (in
particular, in information training
systems).
• Incorrect interpretation by teachers of
trainees’ (students’) answers.
• Incorrect interpretation of the responses
of trainees (students) provided for
control in the corresponding
information training system that
supports this or that online course.</p>
      <p>The ontological approach is a basic means
of adapting the education system to the growth
in volumes of knowledge (data and
information) and the urgent need for their
formalization and structuring.</p>
      <p>Ontologies have long been used in
informational learning systems [16–18].</p>
      <p>In particular, the following uses can be
distinguished:</p>
      <p>Modeling of specialty curricula (annual),
suggesting, in particular:
• Presentation of the curriculum with a list
of academic disciplines for each course
of the specialty, the number of hours in
each discipline, indicating the control
point of the discipline (exam or test,
course work, calculation, graphic work,
modular test, etc.).
• Curriculum development.
• Analysis of the prospects for
implementing the curriculum.
• Assessment of the implementation of the
curriculum (by the university
administration, teachers, and students).
• Determining the presence of mandatory
core elements of the curriculum.
• Determining the compliance of the
curriculum with the training schedule
(for full-time and part-time forms of
study).
• Connection of the elements of the
curriculum with the educational program
specialty (its goals, objectives, results of
studying the academic disciplines of the
curriculum, with the achieved
competencies and other elements).</p>
      <p>Modeling of the academic discipline
program, which involves, in particular:
• Presentation of the training program
(work program and corresponding
training program).
• Development of a program plan (both
the work program and the
corresponding curriculum).
• Analysis of the prospects for its
implementation (determination of the
necessary competencies of the teaching
staff providing the teaching of this
academic discipline, determination of
the necessary material, technical, and
software necessary for high-quality
teaching of this academic discipline).
• Assessment of the implementation of the
academic discipline program.
• Determining the presence of mandatory
basic elements of the academic discipline
program (working with stakeholders,
attracting representatives of science,
business, production, education, etc. as
experts).
• Connection of these elements with the
objectives and results of teaching the
academic discipline and with other
elements of the system of training
specialists at the university.</p>
      <p>Management of the academic discipline
program, providing, in particular:
• Implementation of management at the
stages of the educational process
(intermediate control and/or final
control).
• Reporting activities (preparation and
implementation of these activities).
• Issuing grades (intermediate and final).
• Monitoring compliance with the process
of assessing students’ knowledge during
intermediate and/or final control).
• Receiving feedback (both from teachers
and students).</p>
      <p>Description of the subject area of the
academic discipline, providing, in particular:
• Ontology of a certain subject area (the
discipline being studied and related
disciplines to provide a holistic view of
the place of the discipline being studied
in the educational program of the
specialty).
• Construction of an ontology of tasks and
learning goals by the curriculum of the
discipline.</p>
      <p>Assessment of students’ mastery of data,
including, in particular:
• Analysis of individual and group
progress of students.
• Analysis of the obtained learning results
(for example, competency-based).</p>
      <p>The use of ontologies is advisable, in
particular, for:
• Personalization of learning aspects, such
as learning processes (organization,
management, control, etc.).
• Personalization of the learning process
itself (providing educational content).
• Personalization of the training courses.
• Overcoming the heterogeneity and
difficulty of processing large amounts of
data (including information taken from
the Internet).</p>
      <p>The relevance of using the ontological
approach both directly in the learning process
and in learning management processes is
determined, in particular, by:
• The need to transform tacit knowledge
into explicit knowledge (for example, in
such subject areas as “education,”
“education system,” “educational
process,” “participants in the
educational process,” “the subject of a
separate course,” etc.).
• Improvement of educational processes
(including methodological, and
technological).
• Digitalization and intellectualization of
educational processes (using, for
example, artificial intelligence systems,
ontological approach, neural networks,
etc.).
• Growth in the volume of information and
the need to ensure its cybersecurity and
protection (using, for example, modern
methods of encoding and protecting
information).
• The need to store large volumes of
information, ensuring its preliminary
compression.
• Increasing the importance of the quality
content of academic disciplines.</p>
      <p>The problem of preserving and
accumulating intellectual capital (personnel,
software, etc.).</p>
    </sec>
    <sec id="sec-2">
      <title>2. Ontological Modeling of Modern</title>
    </sec>
    <sec id="sec-3">
      <title>Learning</title>
      <p>The use of ontologies in education assumes as,
in particular, already discussed in [13, 19, 20]:
• Defining the boundaries, types, and
structures of ontologies.
• Development of a methodology for
creating ontologies of subject areas of
training courses, and learning
management processes.
• Development of a methodology for
managing domain ontologies.
• Principles of using formal ontology and
ontological engineering [16, 20, 21] for
knowledge engineering in the real world
of education.</p>
      <p>When developing domain ontologies [22], it
is advisable to use the Protege system [15, 23],
which allows you to create an ontological
model and visualize it in the form of a
corresponding ontograph of the model [24,
25].</p>
      <p>In our case, the subject area is the sphere of
education, and educational processes,
supported, in particular, by appropriate
information learning systems with elements of
intellectualization).</p>
      <p>Ontograph G is specified
G = &lt;V, C, K, L, AI&gt;,
where:</p>
      <p>V is a set of nodes (primary elements,
terms).</p>
      <p>C is a set of connecting elements of the
ontograph, each of which defines certain
fragments of the ontograph.</p>
      <p>K is the set of key vertices of the ontograph,
each of which defines a certain class of
equivalent elements of the ontograph (K V).</p>
      <p>L is the set of labels of elements of the
ontograph, each of which specifies the certain
base class of equivalent elements of the
ontograph.</p>
      <p>AI is the set of incidence relations that are
defined on the set of ontograph elements.</p>
      <p>All incidence relationships are
binaryoriented relationships.</p>
      <p>The application of the ontological approach
in education involves, in particular, research
and development [26]:
• General methodology for the formation
of an ontology of a certain subject area.
• General methodology for the formation
of an ontology of a certain subject area
using already existing ontologies of
other subject areas.
• General methodology for using the
ontology of a certain subject area in the
formation of ontologies of other subject
areas.
• Means of adapting the education system
to the growth of knowledge.
• Structuring and formalization of subject
areas.
• Languages for formal description of
ontologies (similar to OWL language
(Ontology Web Language) [27] and
others [22, 28]).
• General knowledge base, using the
language of ontologies, understandable
to specialists in various related fields
(for example, management, economics,
art, etc., even when studying academic
disciplines of specialties:
– 121 “Software Engineering”
– 122 “Computer Science”
– 125 “Cybersecurity”
– 124 “System analysis”.</p>
      <p>The construction of ontological models is
used in each of these types of learning.</p>
      <p>However, the most appropriate need to
introduce an ontological approach is
manifested in problem-based, team-oriented,
and competency-oriented types of training.</p>
      <p>The use of such elements of teaching as
control, feedback, and the application of new
knowledge in the study of an academic
discipline explains to some extent the
complexity of managing both the teaching
processes themselves and the processes of
improving the teacher’s skills.</p>
      <p>These types of training are most often
implemented in the format of classes in which:
• There is an instant exchange of
knowledge (between a teacher and a
student, between students, or in the case
of online learning—between an
information learning system and
students).
• Updating of the general knowledge base
of training courses occurs constantly (for
example, some educational content is
updated daily, some—weekly, and
some—when moving to a new topic
(subtopic).
• The period (frequency) of updating the
general knowledge base depends on the
goals, and objectives of training, as well
as on the level of knowledge acquired by
students.
• There is an influence of the information
context (due to both the subject area
under consideration and related subject
areas).
• The educational process is adapted and
improved to the goals, and objectives of
learning, as well as to the needs and
interests of students.</p>
      <p>When implementing a modern ontological
approach to learning and learning
management, events of different directions are
combined, in particular:
• Differentiated learning events (based on
differences in methods, techniques,
technologies, levels, and volume of
educational (training) content provided,
the degree of influence of management
influences on learning processes, etc.).
• Undifferentiated (homogeneous in
structure) learning events (based on the
commonality of methods, techniques,
technologies, levels and volume of
educational content provided, the
degree of influence of management
influences on learning processes, etc.).</p>
      <p>The learning events discussed above are
divided between the following main groups of
participants in the learning process:
• Students.
• Lecturers.
• Developers of online courses.
• Administrator of the information
training system.
• Employees of the dean’s office and
university administration.</p>
      <p>The tasks set for students are differentiated.
Such tasks include, in particular:
• Search and analysis of information from
various sources.
• Checking the accuracy of the information
received.
• Creation of new knowledge based on
one’s assumptions, supported by
knowledge from existing reliable
sources.
• Combination of research methods, etc.</p>
      <p>The use of traditional methods and
technologies of knowledge management in
training, such as, for example:
• Lecturing.
• Providing students with educational
material without taking into account
their level of interest, goals for studying
the material, etc.
• Giving examples without analyzing them
in depth (for example, giving analogous
examples and examples demonstrating
the opposite results).
• Conducting tests (especially without
analyzing the results).</p>
      <p>These teaching methods (related to
undifferentiated learning events and having a
relatively homogeneous structure) are not
focused on achieving learning goals (or are not
fully focused on achieving such goals).</p>
      <p>Such teaching methods have long ceased to
be the only source of knowledge transfer in the
modern information environment of the
national education system.</p>
      <p>Taking into account the growing volume of
information, new modern (mostly
differentiated) tools and ways of transmitting,
applying, and creating knowledge should be
used when interacting with students.</p>
      <sec id="sec-3-1">
        <title>2.1. Creating an Ontological Model</title>
        <p>Interaction with students involves, in
particular:
• Their direct participation in the
educational process:
– attending lectures, and
practical/laboratory/seminar
classes.
– completing practical/laboratory
assignments.
– preparation for discussion and/or
presentation of one’s position on the
issues discussed at seminar classes.
– performing individual/independent
tasks.
• Preparation for the reporting event
(exam, test, module test, defense of
course work, etc.).
• Participation in the scientific activities of
the university, which involves:
– work in student scientific circles.
– work on research topics of the faculty,
and department.
– participation in Olympiads (university,
all-Ukrainian and international).
– publication of scientific articles.</p>
        <p>– speaking at conferences.</p>
        <p>When constructing an ontology of the
university educational process, it is necessary
to take into account the connection of this
process with the field of science, which can be
expressed in the form of the following chain:
&lt;observation—experiment—measurement—
description—classification—systematization&gt;.</p>
        <p>When building an ontological model,
several requirements must be met:
• Formalization by uniform strictly
defined principles.
• Use of a limited number of basic entities
(concepts, terms, keywords, etc.).
• Completeness of the model
representation of the subject area under
consideration.
• Logical consistency of the entities of the
subject area and the connections
(relationships) between them.</p>
        <p>In this case, the created ontological model
can be distributed for use (in part or in full) for
a wide range of educational disciplines of the
above specialties.</p>
        <p>This article discusses the use of the
ontological method within the framework of
constructing the “Preparation for the reporting
event” stage in the discipline “Fundamentals of
Software Engineering”, which is:
• Compulsory for study in the specialty
program 121 “Software Engineering”
(bachelor’s degree) SUIT (Kyiv).
• Selective program for study in the
specialty 122 “Computer Science”
(bachelor’s degree) SUIT (Kyiv).</p>
        <p>Within the framework of this discipline it is
provided:
• Lecturing.
• Conducting practical classes.
• Intermediate activities for monitoring
students’ knowledge (defense of
practical work, module tests, oral
questioning, etc.).
• Execution and protection of individual
assignments.
• Final knowledge monitoring activities
(test and exam) to assess student
performance.</p>
        <p>Monitoring students’ knowledge when
performing practical and/or individual
assignments includes:
• Obtaining information about the
upcoming reporting event, basic
requirements for work, methods of
presenting results, and advice on
completing the task.
• Completing the task.
• Preparation for defense and
presentation of the results of the
assignment.
• Open discussion of the presented work.
• Analysis of the advantages and
disadvantages of the presented work.
• Evaluation of work by students and
teachers.
• Concluding the presented work.</p>
        <p>Experience in teaching this academic
discipline has shown that students have difficulty
perceiving knowledge that is abstract and not
individualized (general recommendations,
description of formal requirements, etc.).</p>
        <p>In the process of completing assignments,
many questions arise from students, which
relate to the detailed elaboration of the
presentation of the results of the assignment
(its presentation).</p>
        <p>The quality of work was assessed according
to the following criteria:
• Originality of the idea (method,
approach, algorithm, interface
organization, etc.).
• Quality of practical (individual)
assignment:
– for theoretical tasks.
– the depth of elaboration of the
selected topic, and the quality and
quantity of analyzed sources.
– for practical tasks.
– the quality of the model and/or
developed software product).
• Logic in the presentation of the
description of the completed practical
(individual) task.</p>
        <p>The application of knowledge in the
learning process involves, in particular:
• Work with the best results in completing
practical tasks:
– sorting, selection, and analysis of the
best results of practical tasks.
– discussion and formation of templates
for performing practical tasks.
– sorting, selection, and analysis of the
best results of individual tasks.
– discussion and formation of templates
for completing individual tasks.
• Analysis of the advantages, inaccuracies,
disadvantages, and typical errors of both
the results of performing practical
(individual) tasks and their presentation
and defense.</p>
        <p>The creation of new knowledge in the
learning process involves, in particular:
• Analysis and discussion of the reasons
that determined the advantages,
inaccuracies, disadvantages, and typical
errors of completed practical
(individual) tasks.
• Discussion of group projects of students
and the formation of new knowledge.</p>
      </sec>
      <sec id="sec-3-2">
        <title>2.2. Building and Improving</title>
      </sec>
      <sec id="sec-3-3">
        <title>Ontological Model the</title>
        <p>The developed ontological model for studying
the discipline “Fundamentals of Software
Engineering” has the form:</p>
        <p>Evaluation of educational
content
Assessment of academic
discipline</p>
        <p>Free form
&gt;&gt;Student progress</p>
        <p>Low
Average</p>
        <p>High</p>
      </sec>
      <sec id="sec-3-4">
        <title>Item</title>
        <p>&gt;Preparation
&gt;&gt;Regulations</p>
        <p>Presentation duration
Presentation format</p>
        <p>Required components
&gt;&gt;Theoretical recommendations
Presentation Format</p>
        <p>Typical errors
&gt;&gt;Practical recommendations
Work examples
Presentation examples</p>
        <p>Adviсe
&gt;&gt;Assessment
&gt;&gt;Evaluation criteria</p>
        <p>Regulated</p>
        <p>Unspoken
&gt;&gt;Reporting events</p>
        <p>Intermediate control</p>
        <p>Final control</p>
      </sec>
      <sec id="sec-3-5">
        <title>Students</title>
        <p>&gt;Individuality
&gt;&gt;Cognition
&gt;&gt;Skills and abilities</p>
        <p>Performance
&gt;&gt;Academic performance</p>
        <p>Low
Average</p>
        <p>High
&gt;&gt;Engagement</p>
        <p>Low
Average</p>
        <p>High</p>
        <p>This shows the result of ontological
modeling of the educational process at the
level of the university faculty [11].
Modeling student knowledge control. In
addition to theoretical educational material,
each academic course contains diagnostic
material to control students’ knowledge.</p>
        <p>Operational control of knowledge is often
performed using tests that are made up of a set
of test items (questions).</p>
        <p>Test items are clear and precise items from
specific subject areas. It requires an
unambiguous answer or the implementation of
an appropriate algorithm of action.</p>
        <p>The ontological model of teaching and
monitoring students’ knowledge provides for the
use of prompts (information, help) either from
the teacher or from the corresponding
information-intellectual learning system [11,
26].</p>
        <p>Within the framework of the conducted
research, it can be noted that knowledge
management is important for the
implementation of an effective and optimal
educational process.</p>
        <p>This is because such management shows
the positive dynamics in students’
presentation of the results of completing their
practical (individual) assignments.</p>
        <p>In addition, analysis and discussion by
students of the results of practical (individual)
assignments contributes, in particular, to:
• Highlighting typical errors and
omissions.
• Searching for solutions to problems that
have arisen.
• Determining the advantages and
disadvantages of the work submitted for
defense.
• Comparing results with the best works.</p>
        <p>The university focuses on knowledge
(students, teachers, administration).</p>
        <p>For this purpose, information is used
(sometimes specially generated) that can be
used by all participants in the learning
processes.</p>
        <p>The process of working with knowledge is
managed by people who make appropriate
decisions on the organization and
management of the educational process at the
university.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>3. Conclusions</title>
      <p>The ontological model was built for shared use
and improvement by specialists in the subject
area under consideration—the field of
education (teachers, guarantors of educational
programs, heads of departments, dean’s
offices, and institutes of SUIT, etc.).</p>
      <p>The ontological model can be used when
designing academic discipline programs,
planning the structure of teaching sessions by
a teacher, assessing teaching skills, and other
similar tasks.</p>
      <p>The use of an ontological approach can help
eliminate the shortcomings of traditional
teaching (for example, limited dialogue
between students; stereotyped delivery of
educational content, monotony and lack of
opportunities for critical thinking on the part
of students; and weak feedback).</p>
      <p>The ontological approach can be used as a
tool for improving teaching methods in the
direction of systematicity and integration
using the practical experience of the teacher.
and Telecommunication Systems, CPITS [13] R. Poli, Ontological Methodology, Int. J.
2021, vol. 2923 (2021) 137–142. Human-Comput. Stud. 56(6) (2002)
[4] P. Skladannyi, et al., Improving the 639–664. doi: 10.1006/ijhc.2002.1003.</p>
      <p>
        Security Policy of the Distance Learning [14] J. Sowa, Building, Sharing and Merging
System based on the Zero Trust Concept, Ontolo
        <xref ref-type="bibr" rid="ref1">gies (2009</xref>
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