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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Digital Competency of the Students and Teachers in Ukraine: Measurement, Analysis, Development Prospects</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Olena Kuzminska</string-name>
          <email>o.kuzminska@nubip.edu.ua</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mariia Mazorchuk</string-name>
          <email>mazorchuk.mary@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nataliia Morze</string-name>
          <email>n.morze@kubg.edu.ua</email>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vitaliy Pavlenko</string-name>
          <email>pavlenko_vitalii@ukr.net</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Aleksander Prokhorov</string-name>
          <email>o.prokhorov@khai.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>National Aerospace University "KhaI"</institution>
          ,
          <addr-line>Kharkiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>National University of Life and Environmental Sciences of Ukraine</institution>
          ,
          <addr-line>Kyiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Professional fulfilment of the personality at the conditions of digital economy requires the high level of digital competency. One of the ways to develop these competencies is education. However, to provide the implementation of digital education at the high level, the digital competency of the teachers and students is a must. This paper presents explanations on the level determination of the digital competencies for teachers and students in Ukraine according to the DigComp recommendations. We tried to identify the main factors that reflect the degree of readiness teachers and students for digital education based on their self-evaluation. Here we provide methodology and the model of level competencies determination by means of survey and the results of the statistical analysis. On the basis of the obtained results, this paper suggests further research prospects and recommendations on the digital competency development in educational institutions in Ukraine.</p>
      </abstract>
      <kwd-group>
        <kwd>Digital Competencies</kwd>
        <kwd>Survey</kwd>
        <kwd>Questionnaire</kwd>
        <kwd>Principal Component Analysis</kwd>
        <kwd>Education</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Modern digital technologies are the catalyst for the world transformation [1]. Digital
transformation has a huge impact on business and social life, providing the ways to
unlock economic and social benefits. The Digital Economy (DE) Theme is supporting
research to rapidly realise the transformational impact of digital technologies on
aspects of community life, cultural experiences, future society, and the economy [2].
DE brings together a unique community of researchers from diverse disciplines,
including social science, engineering, computer science, the arts and medical research;
and users; including people, businesses and government; to study, understand and find
solutions to real problems.</p>
      <p>Most European countries approved development strategies until 2020. The Digital
Agenda presented by the European Commission belongs to the seven main strategies
and suggests wide usage of the Information and Communication Technologies (ICTs)
potential in order to foster innovation, economic growth and progress [3]. Likewise,
the Digital Agenda 2020 was approved in Ukraine [4]. The Digital Agenda must help
to make maximum use of digital technologies [5], since the qualified professionals
availability is crucial for creating a digital society and providing competitiveness of
individual countries and their citizens [6]. However, as of 2017, according to the
"digital skills" index of the European digital economy and society index (DESI), almost
half (44%) of the EU population lacks skills in using digital technologies [7]. This,
undoubtedly, is a large-scale problem that must be solved.</p>
      <p>A number of researches [8] is devoted to the problem of reducing the gaps in
digital competencies understanding by different categories of people. The EU
recommendations on monitoring the Digital Economy &amp; Society 2016-2021, suggest indicators
for measuring digital skills [9]. Implementation of digital technologies influences
many spheres and aspects of the society's activities, thus, for example, the possibility
of employment, education, leisure, attraction and participation in society are
transformed. The digital competence, as a confident use of information and
communication technology (ICT) tools, is vital for a person to participate today's socio-economic
life. That is why digital literacy (or digital competence) is recognized by the EU as
one of the eight key competencies for a full life and activity. In this regard, the
problem of improving (transforming) the education system as a social institution for
human development for the training of competent specialists, taking into account the
needs of the market and the current trends in the development of digital technologies,
is being actualized.</p>
      <p>This research aims to find if the subjects of the educational process in Ukraine are
ready to use digital education as a tool, providing the digital competencies. The
research concentrates only on studying the level of digital competencies of teachers and
students, as on the factor that influences the quality of education.
2</p>
    </sec>
    <sec id="sec-2">
      <title>System of the Digital Competency DigComp: Structure and</title>
    </sec>
    <sec id="sec-3">
      <title>Evaluation Model</title>
      <p>There exist a few frameworks those allow to define the level of digital competencies.
Among them there are European e-Competence Framework for ICT Professionals
[10], European Computer Driving Licence [11], ICT Literacy Competencies, Global
Media and Information Literacy Assessment Framework [12]. In our research we
based on the European system of the digital competency, known also as DigComp,
that provides general approach to defining and describing the main spheres of the
digital competency of people and is the general mark in the European level [13].
DigComp agrees with other frameworks and has experience of implementation in
European countries, for example, integration into the Europass CV system, which
allows applicants to evaluate their own digital competence and to present the results
of this assessment in CV [14].</p>
      <p>The DigComp has three main directions: 1) policies formation and support; 2)
training and employment programs planning; 3) evaluation and certification. In this
paper the second direction is considered, in particular, readiness to implement open
education [15]. In addition, digital competence DigComp refers to the necessary
conditions for digital education implementation in The Digital Agenda 2020 Ukraine.</p>
      <p>In 2017 EU suggested a new framework Digital Competence (DigComp 2.1) that
has 5 dimensions [16]:</p>
      <p>Dimension 1: Competence areas identified to be part of digital competence. There
were defined areas: 1) information and data literacy; 2) communication and
collaboration; 3) digital content creation; 4) safety; 5) problem solving.</p>
      <p>Dimension 2: Competence descriptors and titles that are pertinent to each area.
There were defined 21 competencies [16, p. 11].</p>
      <p>Dimension 3: Proficiency levels for each competence. There are 4 main levels
(foundation, intermediate, advanced and highly specialised) and their decompositions.
Each level represents a step up in citizens’ acquisition of the competence according to
its cognitive challenge, the complexity of the tasks they can handle and their
autonomy in completing the task [16, p. 13].</p>
      <p>Dimension 4: Knowledge, skills and attitudes applicable to each competence [16,
p. 19].</p>
      <p>Dimension 5: Examples of use, on the applicability of the competence to different
purposes. There were provided scenarios for two areas of use: employment and
learning [16, p. 19- 20].</p>
      <p>To evaluate the digital competencies on the base of DigComp framework, there
were developed special methodologies and online tools [17]. To define the level of
digital competencies the teachers and students of the educational institutions of
Ukraine were suggested a list of questions. The authors developed a questionnaire
containing 7 main sections according to recommendations of DigComp 2.1
(https://goo.gl/forms/h90Co24yF6vmU0JF2).</p>
      <p>Sections 1-5 contain 21 questions that evaluate the level of digital competencies
according to 5 areas of DigComp and consider the competencies usage in the field of
education. The respondents were suggested a case: “You have to prepare a short
report on the given subject and to provide it in the digital format”. There were also a
suggestion: “Use different tools and methods on every stage of process and
communicate to different people (the examples below illustrate only some steps of work, as it
doesn’t refer to the subject). For each example write down how easy it was for you to
do the task”.</p>
      <p>We suggest the next grading scale:
1. I am not sure I can perform this task on my own, I need some help (Foundation);
2. I can perform the task on my own, and I can solve the problems that appear
during the work (Intermediate);</p>
      <p>3. I can help others when performing the task, I can give some advice or help
somebody to solve a problem (Advanced);</p>
      <p>4. I can create a digital resource (a blog, a page in social networks, wiki, etc.)
containing useful references, recommendations, instructions, and to provide help (lead a
webinar, moderate the forum, etc.) (Highly specialized).</p>
      <p>The model of tasks formulation and evaluation according to the DigComp
recommendations is provided in the Fig.1.
Section 6 contains 18 questions that must define online tools and information
technologies that the respondents use to solve the tasks in sections 1-5. This section
contains closed questions of multiple choice. Based on the given questions we found the
validity of the respondents’ answers and the frequency of usage of specific tools in
the process of preparation of the report. The last section contains the questions that we
need to fill in the personal profile of the respondent (considering the age, field of
occupation, access level of IT, etc.).
3</p>
    </sec>
    <sec id="sec-4">
      <title>Research Design</title>
      <p>To study the problem of readiness of teachers and students for digital education and
living in the digital world we chose the cross-section single research scheme.</p>
      <p>Sample of the population was formed of employees, teachers and students of
higher education of various fields: mathematics and informatics, humanitarian specialties,
right and law, medicine and veterinary science, etc. The full list of the estimated
features that reflect personal data of respondents is provided in table 1. Since the aim of
our research wasn't exact assessment of competencies level in each field, but defining
the communications between groups of the respondents those differ in age, gender
sign, status (the student, the teacher), and field of occupation (technical or
nontechnical), the error of representativeness didn’t exceed 8% at total of the interviewed
respondents (193 persons). The most of respondents are teachers and students of
higher educational institutions as the National University of Life and Environmental
Sciences of Ukraine, National Aerospace University "KHAI" and Boris Grinchenko
Kyiv University. The questionnaire was widespread in two ways: on the Universities’
webpages and through the social networks. Every feature has calculated beforehand
descriptive statistics and constructed frequency distributions. The
(characteristics of respondents) are provided in Table 1.
main features
─ to describe of the level of digital competencies by fields of occupation;
─ to estimate the numbers on usage of available digital applications, comparison of
the level values for different groups of respondents, strength of the connection
between the various characteristics evaluation;
─ to study of the cause-effect dependencies of the competence level and the
properties of the respondents.</p>
      <p>One of the tasks was to evaluate the validity and reliability of the assessment tool,
i.e. developed questionnaire. We also needed to highlight the main components of
digital competencies, which had significant differences for different groups of
respondents. These hypotheses were formulated:
1. The average level of digital competencies among the majority of respondents is
above the average for the entire sample.
2. The levels of competence in the competence of digital data processing, online
communications and protection, transmission and storage of information depend on
the gender, status, training directions, accessibility of technical and mobile means and
the way knowledge and skills are acquired.
3. The respondents who master basic digital competencies can simply solve other
problems related to the use of digital tools.
3.1</p>
      <p>The Description of the Variables
We determine variables, scale of evaluation and interval for the questions in our
questionnaire (Table 2).
When analyzing we used a complex of methods and models that allow to calculate all
the descriptive statistics. The choice of certain indicators is influenced by the data
type, the scale of assessment and the limitations of methods application. For
calculations, we used the software tool for statistical processing data SPSS [18, 19].</p>
      <p>Most of the features chosen to assess the level of digital competencies in the survey
process were estimated in an ordinal 4-point scale. Therefore, in order to test the
hypotheses, the method of analyzing two-dimensional frequency tables (contingency
table) and the chi-square test was used at the first stage [18]. Also, the Cramer's V,
contingency coefficient and the coefficient Phi, which are called measures of
association, were calculated. These coefficients vary from 0 to 1 and allow us to conclude
about the strength of the relationship between the features.</p>
      <p>One of the analysis purposes is to estimate reliability of the questionnaire [20]. To
estimate of internal consistency of single questions of the questionnaire the coefficient
Cronbach's alpha was used. Besides, for respondents questions which purpose was to
confirm level of proficiency in these or those competences have been offered. Such
questions, as a rule, contains answers concerning the tools used for the solution of the
tasks within digital competences. For a research of the communications between the
main points of the questionnaire and questions concerning tools methods of the
analysis of two-dimensional frequency tables have also been used.</p>
      <p>A number of features did not allow us to draw single-digit conclusions on the
general tendencies of different groups of respondents’ digital competences possession.
Therefore when data processing methods of data reduction were used. The first
approach was based on estimation of the total (aggregated) ball score on the groups
displaying the main directions of digital competences. In Table 2 you can see the
main groups on which score was calculated. For the analysis of distinctions of
average summary points the method of one-factor dispersion analysis (ANOVA) was used
further [21]. The second approach was based on a method of the principal
components [22] that allows transforming without loss of data to such variables which
values cause the maximum value of variance of the initial features. The further analysis
of communication of factor values with groups of respondents was carried out on the
basis of the frequency tables using methods of graphic visualization of data.</p>
      <p>When testing statistical hypotheses at all analysis stages the decision is made on
the basis of the size p-value which actually displays probability of a mistake at a
deviation of a zero hypothesis (an error of the first type). The p-value for a deviation of a
zero hypothesis was accepted equal 0,05.
4</p>
    </sec>
    <sec id="sec-5">
      <title>Results of Research</title>
      <p>At the first stage, we provided frequency distributions of the respondents’ scores for
each question and on the total values. Figure 2 shows the distribution histograms by
groups of digital competencies.</p>
      <sec id="sec-5-1">
        <title>Communication</title>
      </sec>
      <sec id="sec-5-2">
        <title>Creation of digital content</title>
      </sec>
      <sec id="sec-5-3">
        <title>Information security</title>
      </sec>
      <sec id="sec-5-4">
        <title>Solving technical problems</title>
      </sec>
      <sec id="sec-5-5">
        <title>Studying and data analysis</title>
        <p>From Figure 2, we see that for most of the competencies, respondents rated their
abilities above average. At the same time, the significance of the differences was
confirmed by the value of the Student's t-test at the level p &lt;0,05. Thus, we can accept the
hypothesis that the level of digital media and communications usage among teachers
and students is quite high and above the average.</p>
        <p>The analysis of two-dimensional frequency tables (cross tabulations), and the
criteria on the basis of which it is possible to assess whether there is connection between
such characteristics as the assessment of the level of one's own competencies and
status, gender, and occupation proved that for most of the features of communication
it is not observed for p&gt; 0,05.</p>
        <p>The coefficients of Cramer's V and contingency ranged from 0,086 to 0,366, that
indicates weak connection between the traits. Therefore, the study focused on the
analysis of total scores by groups of competencies. Table 3 provides the values of the
significance criteria for the differences in the total ball-point estimates for the main
areas of digital competencies among the groups of respondents. The table shows the F
statistics and p-value calculated using the ANOVA method.
We can see significant differences in evaluation of their competencies occur among
teachers and students, among the respondents of different occupations, and among
those who has limited access to websites with scientific books and articles
(significance level was considered for p &lt; 0,05). The difference among the groups was also
tested by the criterion of Tukey: the greatest differences were revealed between
students and teachers. The teachers’ scores are significantly higher. The level of
competence among those whose occupations are related to mathematics, computer science
and information technology differs from the rest of the groups. The respondents with
limited access or no access to websites with special literature have the levels of digital
competencies significantly lower than those who have permanent access.</p>
        <p>We analyzed the relation between the question “How to obtain digital
competency?” and the final scores in the fields of digital competencies estimating. Since the
question was presented on a scale with compatible alternatives, we perform the
analysis on the basis of a two-dimensional frequency table. The analysis proved the level of
competencies does not depend on the way knowledge and skills were obtained.</p>
        <p>To analyze the relationship between age and total scores we used a linear
regression model. The results showed a lack of connection between the features. The
coefficient of determination (R squared), which shows the tightness of the connection, was
0.042, and the coefficient of linear correlation (Pearson's r) was 0.206, which
indicates the absence of a linear relationship between the signs.</p>
        <p>Thus, the hypothesis that the level of competences depend on gender, status,
activities and access to digital media, the way of teaching was partially confirmed.</p>
        <p>In the framework of the questionnaire analysis reliability, we prepared the
contingency table between the features, those reflect the respondents' assessment of their
digital competencies and the tools used. Analysis of these tables proved that the
higher is the respondent’s self-esteem the more tools he owns and uses in his daily
practice. The indicators reflecting the internal consistency of the questionnaire were also
evaluated, namely, the Cronbach alpha was 0.944, Lambda Guttmann 0.89, the
Spearman-Brown coefficient 0.889, and the intra-group correlation coefficient 0.49.
These numbers indicate the questionnaire high reliability.</p>
        <p>To reduce the data, we used the principal component analysis (PCA), which was
based on 18 features with orthogonal rotation (varimax). The Kaiser-Meyer-Olkin
measure confirmed the adequacy of the sample for analysis, KMO = 0.939
("excellent" in [18]), and all KMO values for individual traits were greater than 0.914, well
exceeding the permissible limit of 0.5 [18]. Bartlett's test of sphericity χ² (153) =
2251,953, with p &lt;0.0001, proved that the correlations between the points were quite
large for PCA. The initial analysis was performed to obtain the eigenvalues for each
component in the data. Two components had similar values according to the Kaiser’s
criteria of 1 and higher, and in combination they explained 60.01% of the variance.
The scree plot showed inflexions that would justify retaining two components (Fig.
3). Given not large sample, and the convergence of the scree plot and Kaiser’s
criterion on two components, this is the number of components that were retained in the
final analysis.</p>
      </sec>
      <sec id="sec-5-6">
        <title>Point of Inflexion</title>
        <p>In Figure 4, you can see the graph of the analysis result of the main components
method with the eigenvectors selected. We can say from the graph, that the initial
correlation of characteristics separates the initial data no more than in two directions,
which led to the selection of the two main components. At the same time, one can
find it difficult to single out separate groups of attributes for some components. This
suggests that the various digital competencies are closely related.</p>
        <p>PC1</p>
        <p>PC2
The further analysis of the obtained factor values on the basis of the method of
principal components in the context of the groups of respondents (by sex, status, activities,
availability of digital means) did not show significant differences in gender and
availability of technical means. Teachers have a significantly higher level of factor values
for the first component, while students have better competencies in the second
component (p&lt;0,05). There are also significant differences between groups of respondents
working or studying in different areas of activity. Significantly higher average factor
values of the first component in the groups of humanitarian and healthcare
respondents, while the second component identifies respondents whose activities are related
to mathematics, information technology and information technology, as well as
engineering direction (p&lt;0,05). Those who have access to resources with scientific
literature have higher averages for both components compared to groups of respondents
whose access is limited.</p>
        <p>Thus, it can be concluded that respondents who know the basic digital
competencies solve equally other problems related to the use of digital tools. However, there
are some differences in the level of digital competencies between users of information
resources solely for solving the problems of searching, presenting, storing and
transmitting information, and respondents able to solve technical problems, providing
reliable protection and processing of data by means of special means. Most people
learn skills independently, regardless of the direction of activity, status and access to
technical and digital tools.
5</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>Conclusions</title>
      <p>The digital competencies are essential for people to achieve success at the condition
of the digital economy. The results of a survey in which participated 193 teachers and
students of Ukrainian educational institutions aiming to define the readiness to
implement digital education for obtaining the digital competencies allow us to conclude:
1. The teachers and students have the above average level of usage of digital tools
and communications. However, the level of competencies does not depend on the way
that the skills were obtained.</p>
      <p>2. The level of competency of professional usage of IT is much higher for students
than for teachers. The teachers have higher level of IT usage for performing
educational tasks. The level of competencies in exact sciences differs from the others. The
level of competencies of the respondents who has restricted access (or no access at
all) to the resources with the literature is far lower, than the level of those respondents
who has full access to such resources.</p>
      <p>3. There were defined no difference on gender, age and availability of technical
means.</p>
      <p>Since the analysis of the obtained data confirms high reliability of the
questionnaire developed by authors, we can formulate the further researches perspectives. It
seems to be perspective to measure the digital competencies in each field of DigComp
and to develop the training modules for formal or informal training.</p>
      <p>The sufficient level of digital competencies of both students and teachers proves
their readiness for digital training implementations. The difference of levels of
students (as the developers of e-content), and teachers (as the competent users), can be
used efficiently to provide collaborative training online.</p>
      <p>
        Consider that digital competencies influence the training programs structure,
professional development of teachers and services and resources intended for students at
the university. That is why there must be created uniform environment of digital
competencies management at the university. That allows providing within the
university: common information space for control, development and a transfer of digital
competencies; optimized communication between students, teachers and
administration of the university; individual planning, monitoring and management of
educational trajectory personally for every student.
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    </sec>
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