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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Information System for the Formation of Individual Educational Trajectories of Students of IT Specialties</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Yurii Dubas</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Valentyna Mudrokha</string-name>
          <email>mudrokhavalentyna@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Volodymyr Pasichnyk</string-name>
          <email>vpasichnyk@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lviv National Library of Ukraine named after V. Stefanyk</institution>
          ,
          <addr-line>Stefanyka Street 2, Lviv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>Stepana Bandery Street 12, Lviv, 79013</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Today the educational environment and methods of its interaction with people are rapidly developing. Everyone has the right to education and choice. The concept of individual educational trajectory, its features and problems of formation are described. The individual educational trajectory will allow students to make their own choice among the proposed disciplines, therefore, to choose their own path to realize the potential. Also, the problem of forming an individual educational trajectory by the method of information system is also considered. Recommendation systems were considered as an example of the implementation of an information system for the formation of an individual educational trajectory. Prototype of the recommendation system was also described and developed.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Educational trajectory</kwd>
        <kwd>curriculum</kwd>
        <kwd>educational recommendation system</kwd>
        <kwd>prototype</kwd>
        <kwd>discipline</kwd>
        <kwd>student</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Modern education today is developing at a very impressive, often unpredictable pace with the
priority goal in the development of competent professionals. Necessary qualities of such specialists
are the ability to self-development and self-realization. Providing educational services to everyone,
taking into account their capabilities, preferences and abilities, will ensure the dismissal of such
specialists. Thus, adhering to the idea of accessibility and equality of education, there is a possibility
of introducing individual educational trajectories. Providing the opportunity to choose an educational
trajectory will create conditions for the realization of the potential of each student or applicant and
will avoid situations where education becomes undesirable or meaningless.</p>
      <p>In this regard, the focus of the educational process on students becomes especially relevant, which
includes: taking into account individual capabilities; needs of the entrant; ensuring their freedom;
incentives to determine the individual content of educational activities and conscious and responsible
choice of individual educational trajectory. Thus, in our reality, every student can hope to get a
quality education and choose an individual educational trajectory.</p>
    </sec>
    <sec id="sec-2">
      <title>Problem overview</title>
      <p>Modern social realities are characterized by significant changes in social and political life, rapid
technical and technological development. This contributes to the formation of the information society,
the widespread use of information flows, which are the inexhaustible and renewable wealth of
mankind, along with energy and material resources. An important feature of the modern information
society is informatization, which in the form of practical activities, certain activities and technologies
aimed at the use, storage, processing of information, as well as its transfer to achieve the goals of
society. An important area of informatization of society is the informatization of education, which
allows to increase the efficiency of all types of educational activities through the use of information
and computer technology.</p>
      <p>Among the variety of tools that ensure the implementation of differentiated learning, a significant
role belongs to individual educational trajectories. At the same time, there is a lack of electronic
resources, in particular information systems, which would allow to form an individual educational
trajectory of entrants based on their wishes, educational and psychological capabilities.</p>
      <p>However, given the wide range of information and communication technologies, it is possible to
create an information system that will shape the individual educational trajectory of future students of
higher education institutions based on the choice of disciplines in the block of disciplines of free
choice of students. Such a system should also provide access for registered higher education students
to information on subjects contained in the curricula of the specialty.</p>
      <p>Before creating a prototype of an information system, it is necessary to consider existing
implementation options. In particular, there are many online information systems that provide services
when choosing an educational institution and future profession. However, not all of these resources
can provide recommendations for the formation of an individual educational trajectory. Most online
resources provide general information without taking into account the individual qualities or
characteristics of the applicant.</p>
      <p>For a detailed analysis of the existing systems of choice and recommendations of the educational
institution, a functional analysis of both foreign and domestic online resources was performed. This
analysis is shown in Table 1 with key parameters.</p>
      <p>H1 - definition of the professional orientation of the person;
H2 - taking into account personal qualities and abilities;
H3 - recommendations for choosing an educational institution;</p>
      <p>H4 - the formation of an individual academic trajectory.</p>
      <p>Table 1
Online resources of educational choice</p>
      <p>As a result of the functional analysis, it can be concluded that the existing online information
resources focus more on the choice and recommendations of educational institutions, regardless of the
personal qualities or professional skills of applicants.
1.2.</p>
    </sec>
    <sec id="sec-3">
      <title>Analysis of recent research and publications</title>
      <p>
        Various aspects of the introduction of information and communication technologies in the
educational process are constantly attracting the attention of many researchers. Didactic-pedagogical
and methodological problems of informatization of separate educational trajectories in the educational
process were studied by E. Alexandrova [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], I. Vakarchuk [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], I. Kankovsky [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], S. Kliminska [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], O.
Plaksinova [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], I Lipatnikov [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] and others. Studies of P. Fedoruk and M. Pikulyak [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], Stroganova
AN, Korostiants TP, Sharova SV and other scholars are also devoted to the study of this issue.
      </p>
      <p>In particular, E. Alexandrova interprets the individual educational trajectory as a personal way of
realizing the personal potential of students. In addition, this concept means a program of formation
and development of life, in particular personal, for a certain period of time [1, p. 75].</p>
      <p>
        According to I. Vakarchuk, the use of the principle of individual trajectory of the student will
bring the educational process of our country closer to the principles of higher education in Western
Europe [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
      <p>This statement is justified, because the possibility of free choice within the chosen specialty - one
of the conditions for stability and coherence of any educational system.</p>
      <p>Given that the individual educational trajectory is also a fairly general concept than an individual
educational route, I. Kankovsky understands this concept as a movement chosen by the student in
accordance with the individual educational route to achieve a certain level of professional competence
defined by the standard of education. and own desire. At the same time, the individual educational
route can be presented in the form of an individual program of student professional competence
formation taking into account one's own interests, educational opportunities, psychological
characteristics, etc. [3, p. 63].</p>
      <p>
        According to S. Kliminska, the individual pace and volume of educational work intensify the
student's cognitive activity, improve his abstract and analytical activities, motivate active creative
work. This contributes not only to the implementation of the individual educational trajectory, but
also allows to form the professional personality of the future specialist [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
      </p>
      <p>According to O. Plaksina, understanding the need to choose specific variable modules arises in
students gradually, in the process of their maturation, their development of basic modules, immersion
in a professionally-oriented educational environment [5, p. 149].</p>
      <p>I. Lipatnikova proposes to use a reflexive approach to ensure the quality of the mechanism of
designing an individual educational trajectory. In her opinion, such an approach is a system-forming
factor and a universal mechanism for managing the educational process on the basis of jointly
distributed activities of teachers and students. At the same time there is a process of search,
comprehension and rethinking of the information, its transformation by the independent choice of the
micro goals taking into account individual abilities and needs; determining the trajectory of
development of personal qualities of the student [6, p. 108]. P. Fedoruk and M. Pikulyak built a model
of individual learning trajectory based on the method of multilevel algorithmic quanta of knowledge,
which has the following form: based on the results of the first task (the first vertex of the graph
characterized by its terminal quanta) the student gets to another vertex also characterized by the
corresponding quanta, and so on. The authors of the model note that the proposed method allows to
automate the process of content of the discipline and reduces the time for its study [7, p. 75].</p>
      <p>Researchers reasonably argue that the individual pace and volume of educational work activates
the student's cognitive activity, improves his abstract-analytical activity and motivates him to active
creative work. This contributes not only to the implementation of individual educational trajectory,
but also allows you to form a professional personality of the future specialist. A number of
researchers suggest the use of information technology and information systems to support the
processes of forming an individual learning trajectory, as this would bring the educational process
closer to the student-oriented principles of higher education in the world.</p>
      <p>In the works of Natalia Kunanets it is noted that information technologies play an increasingly
important role in everyday life: from providing information on the weather forecast, to the
possibilities of virtual movement. Huge amounts of data in the fields of science, professional,
educational and entertainment are processed every second. The selection and processing of large
amounts of data is carried out using numerous routine processes that require new innovative
technological solutions, data analysis methods and meticulous study. To perform such tasks, it is
advisable to use methods of big data processing.</p>
      <p>
        In the process of selecting information, there are opportunities to analyze the characteristics of an
individual, which, in turn, generates the formation of systems and tuples of new parameters, which are
subject to further analysis. In particular, it is about measuring knowledge potentials, the level of
interest in certain areas, wishes for future study of certain disciplines, behavioral characteristics,
analysis of impressions and emotions, the psychological state of the person. The implementation of
such an approach would focus in educational processes not only on the level of success, but also on
the personal characteristics of the student as a member of the educational society, which allows to
determine the degree of adaptability to cooperation, which, in turn, can play a significant role in
forming effective social relations. rather than exceptionally deep knowledge in a particular field. If a
person does not find an understanding with the employer, co-worker, or subordinates, the process of
integration into the new social environment may be ineffective and may eventually lead to a complete
fiasco [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>To compare domestic and foreign research, it is worth referring to the work of Aaron M. Pallas. As
indicated in his work, life course studies originating in the United States have paid relatively little
attention to the challenges of describing educational trajectories. In the United States, an individual’s
position in the education system is reasonably well described by the number of years of schooling
completed. It is certainly convenient to be able to summarize an individual’s standing in a single
number. But this vertical differentiation of educational statuses is not an adequate representation of
the educational systems of a great many countries around the world. Even in the United States, the
number of years of schooling completed does not convey precisely the educational credentials an
individual has acquired. Fourteen years of schooling can, for example, represent successful
completion of a 2-year technical college degree program, or 2 years of liberal arts coursework that
falls short of any credential. Other educational systems rely more upon the horizontal differentiation
of individuals into differing types of educational institutions, or into differing locations within the
same institutions, than upon the number of years of schooling completed.</p>
      <p>
        Only recently has a concerted effort been made to develop a classification system for educational
attainment that might facilitate comparisons across countries and time periods. This project was
entitled “Comparative Analysis of Social Mobility in Industrial Nations” (CASMIN). The
classification system, known as the CASMIN classification after the project title, is based on two
primary criteria: (1) a hierarchy of educational levels, defined in terms of the length of the educational
experience, its cost and quality, and the academic ability required to be successful, and (2) a
distinction between “general” and “vocationally-oriented” educational experiences. This latter
distinction is based on curricular intent rather than empirical linkages between educational
qualifications and specific vocational outcomes. That is, the central distinction is between educational
programs that are intended to teach the knowledge and skills needed for specific occupations and
those intending to teach general knowledge. Comparative research inevitably involves tradeoffs
between the commonalities and uniquenesses of the cases under consideration. Classification schemes
such as the CASMIN classification are intended to balance such tradeoffs. Nevertheless, the same
classification that facilitates comparisons across countries can seriously distort comparisons within
countries. Applicability of the The CASMIN classification of the United States was analyzed. It
shows that within the United States and other countries, the relationship between educational
qualifications and occupational attainment is generally greater if the analyst uses indigenous
qualifications—that is, qualifications that are recognized locally—than if the association is estimated
with classification schemes such as CASMIN developed for comparative purposes. Thus, although the
CASMIN classification is useful for some purposes, it presents difficulties when an analyst wishes to
study the link between educational qualifications and occupational attainment [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>The article’s goal is to analyze the functionality of the information system, such as a
recommendation system for the formation of individual learning trajectories of students of IT
specialties, based on their wishes, abilities, educational and psychological capabilities.</p>
    </sec>
    <sec id="sec-4">
      <title>2. Research methods</title>
      <p>The process of forming an individual educational trajectory is a rather complex procedure, which
involves the analysis of the curriculum of the specialty, acquaintance with the annotations of
disciplines included in the curriculum, analysis of competencies formed in the study of specific
disciplines.</p>
      <p>
        The individual educational trajectory itself is understood as a personal way of realizing the
personal potential of the learner, which is formed taking into account his abilities, interests, needs,
motivation, opportunities and experience. It is based on the choice of the student: types, forms and
pace of education, subjects of educational activities and their proposed educational programs,
disciplines and the level of their complexity, methods and means of teaching. Individual educational
trajectory can be implemented through an individual curriculum [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] and academic mobility
programs.
      </p>
      <p>
        Under the individual curriculum means a document that determines the sequence, form and pace of
learning the educational components of the educational program in order to implement its individual
educational trajectory and is developed by the educational institution in cooperation with the student
with the necessary resources [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13 ref14">10–20</xref>
        ]. The individual curriculum indicates the disciplines that the
student chooses in accordance with the approved curriculum standards for study in the next academic
year.
      </p>
      <p>The academic mobility program provides a clear definition of the types and forms of academic
mobility; consolidation of the principle of re-crediting the received grades in certain subjects on the
basis of the European credit transfer system, in particular, by comparing the content of educational
programs, without taking into account the names of courses; preservation of the place of study and
scholarships for students participating in academic mobility programs [21–32].</p>
      <p>Individual educational trajectory also requires special organization. For example, individual
educational trajectories are developed for the student taking into account features of the educational
program.</p>
      <p>
        Educational (educational-professional, educational-scientific or educational-creative) program - a
system of educational components licensed at a certain level of higher education within the specialty,
which determines the requirements for the competencies of persons who can start studying under this
program, a list of disciplines and logic the sequence of their study, the number of credits of the
European credit transfer and accumulation system required for the implementation of this program, as
well as the expected learning outcomes (competencies), which must be mastered by the applicant for
the appropriate degree of higher education [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>Thus, the formation of an effective individual educational trajectory requires a powerful tool for
implementation, as well as special methods and technologies. Accordingly, for effective
implementation it is necessary to implement an information system. As a special case, we have
chosen the system of recommendations that is the most appropriate and effective. A recommendation
system is a subclass of an information filtering system that creates a ranking list of objects that a user
may prefer. In the process, recommendation systems collect user data using a combination of explicit
and implicit methods. These methods are described below.</p>
      <p>Methods of explicit data collection:
● the user evaluates the proposed object on a differentiated scale;
● the user classifies a group of objects from best to worst;
● the user chooses the best of the two proposed objects;
● the user is prompted to create a list of his favorite objects.</p>
      <p>Methods of implicit data collection:
● observation of information that the user browses in online stores or databases of other
types;
● keeping records of user behavior on the Internet;
● tracking the content of the user's account on social networks.</p>
      <p>Implementation of the project of creating a prototype of a recommendation system for the
formation of individual trajectories in order to form individual trajectories of the applicant. The work
of the recommendation system consist of four stages (Fig. 1):</p>
      <p>Stage 1. Conduct an analysis of educational institutions, as this will allow us to collect data on new
educational and professional programs licensed by them.</p>
      <p>Stage 2. On the basis of the chosen preferences and the list of disciplines available in educational
and professional programs - the first recommendations are created.</p>
      <p>Stage 3. Selection of the most acceptable educational institution, specialty and
educationalprofessional programs. This process takes into account all previous raw recommendations and
compares them both with the potential of the applicant's knowledge and with the relevant data of
educational institutions. It also generates a list of subjects for external evaluation.</p>
      <p>Stage 4. After successful entry, there is the formation of an individual educational trajectory for
the student.</p>
    </sec>
    <sec id="sec-5">
      <title>Data analysis of an individual educational program</title>
      <p>To build an individual educational trajectory, it is necessary to create an individual educational
program, which is its technological support. Accordingly, the means of embodiment is the technology
of its design. Within the framework of the recommendation system, the formation of an individual
educational program is a process that consists of the following steps (Fig. 2):</p>
      <p>Step 1. Look for an educational institution that can provide the best knowledge in the desired
specialty or educational-professional program and collect all the data from the disciplines included in
them.</p>
      <p>Step 2. Analyze the individual needs of the student and include them as a major factor in
determining the disciplines</p>
      <p>Step 3. Analyze the disciplines that best match the competencies required by the student and
preprocess the data, especially for structuring and unifying, disassembling and processing
incompleteness.</p>
      <p>Step 4. To form a list of disciplines based on the characteristics of the educational institution,
educational and professional program and individual needs, which is an individual educational
trajectory.</p>
      <p>Based on the above methods and models, a plan of the recommendation system for the formation
of individual learning trajectories was developed. The structural model of this system includes: a
subsystem for finding a suitable educational institution, a subsystem for determining professional
orientation, a subsystem for determining the list of disciplines for an educational program, a
subsystem of formation an individual educational trajectory. The structural model with all subsystems
is shown in Figure 4.</p>
      <p>The recommendation system is planned as a single-page application, the architecture will be
developed on the basis of client-server technology, which will allow working in both local and
network modes.</p>
      <p>The recommendation system will work in the following steps:
Step 1: System launching.</p>
      <p>Step 2: User identification; authorization check.</p>
      <p>Step 3: User data entry.</p>
      <p>Step 4: Request to educational institutions; search for a suitable institution.</p>
      <p>Step 5: Checking the compliance of the educational institution; choice of educational institution.
Step 6: Passing the test for professional orientation.</p>
      <p>Step 7: Analysis of results.</p>
      <p>Step 8: Obtaining a recommended list of educational institutions and specialties.</p>
      <p>The user interface is currently unavailable and is under development. For further development of
the user interface it is planned to use HTML markup language along with cascading tables of CSS
stylesheets. Dynamic functionality will be implemented with the use of JavaScript and third-party
libraries.</p>
    </sec>
    <sec id="sec-6">
      <title>3. Conclusion and prospects for further research</title>
      <p>The process of forming an individual educational trajectory is a rather complex procedure, which
involves the implementation of a project to build a recommendation system. The functionality of the
recommendation system tests the entrant, analyzes the possibilities of the university, specialties,
educational and professional programs, their curriculum, acquaintance with the annotations of
disciplines included in the curriculum, analysis of competencies formed in the study of specific
disciplines. The use of a recommendation system for the formation of an individual educational
trajectory increases the efficiency of the procedure of building an individual educational trajectory
through a system of recommendations.</p>
      <p>The prototype of the proposed recommendation system can be implemented as a web tool for use
by applicants looking for a way to form their own individual educational trajectory.</p>
    </sec>
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