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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Psychometric Properties of a 21st Century Digital Skills Scale</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Djordje M. Kadijevich</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nikoleta Gutvajn</string-name>
          <email>gutvajnnikoleta@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Danijela Ljubojevic</string-name>
          <email>danijela.ljubojevic@metropolitan.ac.rs</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Belgrade Metropolitan University, Faculty of Information Technology</institution>
          ,
          <addr-line>Tadeuša Košćuška 63, Belgrade</addr-line>
          ,
          <country country="RS">Serbia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Institute for Educational Research</institution>
          ,
          <addr-line>Dobrinjska 11/III, 11000 Belgrade</addr-line>
          ,
          <country country="RS">Serbia</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>To prepare students to cope successfully with increasingly complex life and environments based upon the extensive application of information-communication technology (ICT), today's education should focus on cultivating 21st century digital skills. To assess the extent to which these ICT-based skills have been attained, an appropriate scale with good psychometric properties needs to be applied. By using a sample of 667 teachers from about 200 secondary schools across Serbia, this study examined the psychometric properties of a 21st century digital skills scale.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Today, education needs to prepare students to cope successfully with increasingly complex life and
work environments (e.g., [1]). To this end, different aspects of learning need to be fostered, such as
communication and collaboration, whose learning benefits have been advocated by many social and
constructivist approaches to learning (e.g., [2]). Those aspects of learning may concern 21st century
skills that promote successful citizenship in a global society (e.g., [3, 4]).</p>
      <p>A recently proposed 4C’s model underlines four 21st century skills: creativity, critical thinking,
communication, and collaboration (see Fig. 1). It is stressed that these skills should be considered as</p>
      <p>
        2022 Copyright for this paper by its authors.
the foundation for a full model of learning and innovation skills comprising: (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) creativity and
innovation, (
        <xref ref-type="bibr" rid="ref2">2</xref>
        ) critical thinking and problem solving, (
        <xref ref-type="bibr" rid="ref3">3</xref>
        ) communication, and (
        <xref ref-type="bibr" rid="ref4">4</xref>
        ) collaboration [5].
      </p>
      <p>
        Concerning the extensive application of information-communication technology (ICT) in almost all
areas of life and work, it is appropriate to focus on 21st century digital skills. A recent detailed review
of the literature identified seven such core ICT-based skills. These skills were: (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) technical skills, (
        <xref ref-type="bibr" rid="ref2">2</xref>
        )
information management skills, (
        <xref ref-type="bibr" rid="ref3">3</xref>
        ) communication, (
        <xref ref-type="bibr" rid="ref4">4</xref>
        ) collaboration, (
        <xref ref-type="bibr" rid="ref5">5</xref>
        ) creativity, (
        <xref ref-type="bibr" rid="ref6">6</xref>
        ) critical
thinking, and (
        <xref ref-type="bibr" rid="ref7">7</xref>
        ) problem solving [6]. Many of these skills can be cultivated in innovative digital
learning environments (e.g., [7, 8]). Note that a model related to learning with technology, proposed
more than twenty years ago, suggests there should be three Cs related to thinking: critical thinking,
creative thinking, and complex thinking, the last of which can be used to denote thinking that occurs in
the activities of designing, problem solving, and decision making [9].
      </p>
      <p>It is important to underline that all digital skills require digital competence, which has been
recognized as one of the eight key competences for lifelong learning, focusing not only on digital
technologies but also on communication, critical thinking, and collaboration, among other things [10].
To measure the development of digital education in Serbia, the Serbian Ministry of Education, Science
and of Technological development recently published “Digital Competence Framework” [11], whose
application would contribute to the development of students’ digital competences for living and
working in a digital society.</p>
      <p>Apart from learning a specific subject, e-learning may be used to cultivate 21st century digital skills.
To be able to evaluate the extent to which these skills have been promoted, an instrument measuring
this promotion needs to be applied. According to the authors’ readings, such an instrument is lacking
in the literature at present. To improve this state, we developed a short instrument (a 7-item scale),
being concerned with using it to determine potential benefits of online teaching using platform
technologies (which was especially relevant during the Covid-19 pandemic).</p>
      <p>The reliability (Cronbach’s alpha) of this instrument was over 0.90 and the single-factor model of
the applied seven items could explain more than 70% of the total variance among their values [12]. To
apply this scale in further research confidently, it needs to have good psychometric properties. Hence,
the present study focused on the examination of these properties, which dealt with representativity,
reliability, homogeneity, and validity. These properties, respectively, stand for the following issues: the
adequacy of the sampling of the applied items from the universe of all items concerning the same
construct to be measured; the precision of the measurement of this construct using these applied items;
the size of the main component measured by the applied items; and the individual alignments
(correlations) of these items with this main component [13].</p>
      <p>The applied research question was: Do the developed 7-item scale have good representativity,
reliability, homogeneity, and validity? A positive answer to this question could contribute to the
improvement mentioned above concerning the missing instrument that assesses the promotion of 21st
century digital skills.</p>
      <p>The second section describes the methodology used in this empirical research, while the third section
summarizes and discusses the main findings. The final, closing section critically examines this
empirical research and gives suggestions for further research.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Methodology</title>
      <p>A convenient sample was used. It comprised of 667 teachers: while 279 were from primary schools,
388 were from secondary. Of those 388 teachers, 181 came from gymnasiums (grammar schools),
whereas 207 worked in vocational secondary schools. Teachers came from about 200 schools across
Serbia. Among them were 100 primary schools, 40 gymnasiums, and 60 vocational schools.</p>
      <p>The attainment of 21st century skills was examined using a 7-item instrument, whose indicators
were derived from the above-mentioned study of van Laar and colleagues [6]. These indicators are
listed in Table 1. To collect their values (measured on a 0–10 scale ranging from never to almost
always), part of an online questionnaire was used. The questionnaire also comprised several questions
concerning participants’ background data, including their gender, experience with online teaching, and
type of school they teach in.</p>
      <p>The collected data were examined by an SPSS macro [13], which determines representativity,
reliability, homogeneity, and validity of the instrument in question. Although developed in the end of
1990s, this macro has been used in many empirical studies that assessed these psychometric properties
of different instruments (e.g., [14, 15]).</p>
      <p>For each psychometric feature, this macro calculates the values of different measures. These values
are expressed on a 0–1 scale, considering values close to 1 as a sign of good quality.</p>
      <p>An acceptable cut-off for those values may be set around 0.70 or 0.80. For example, the usual
reliability cut-off is 0.70 [16], meaning that the reliability above 0.70 is acceptable. Regarding
representativity, in particular the so-called Kaiser-Mayer-Olkin measure of sampling adequacy, values
between 0.70 and 0.80 are usually considered good [17].</p>
    </sec>
    <sec id="sec-3">
      <title>3. Results and Discussion</title>
      <p>The representativity, reliability, homogeneity, and validity of the translated instrument are presented
in Tables 2–5. The content of these tables clearly evidence that the applied scale had good psychometric
features, which answers the applied research question in a positive way. It can be thus said that this
scale successfully measures one underlying construct and thus it can confidently be used in further
research. Hence, the outcome of this study contributes to developing an instrument that assesses the
promotion of 21st century digital skills, which has been a neglected research area so far, to the authors’
readings.</p>
      <p>The data summarized in Table 5 evidence good individual psychometric features of the applied
items. Hence, statistical analyses may deal with using individual items as well. Their somewhat low
reliabilities (especially of items 1, 3, 4, and 7) can be improved when the initial, raw scores are
transformed into Guttman’s [18] image scores; this approach have been successfully applied in a
number of studies elsewhere (e.g., [19, 20]).</p>
      <p>To clarify potential significance of using this 7-item instrument in educational research, it was
checked whether there were differences among teachers from different kinds of school regarding the
extent to which they promoted 21st century digital skills in their online teaching during the Covid-19
pandemic. By representing the value of the promotion in question by the average value of responses to
the applied seven items, it was found that secondary school teachers fostered digital skills more than
primary school teachers (the medians were 8.00 vs. 7.43, respectively; recall that a 0–10 scale for
teachers’ answers was applied), whereas gymnasium (grammar school) teachers fostered those skills
more than vocational school teachers: the medians were 8.43 vs. 7.71, respectively [12]. Because
students’ abilities are, in general, more diverse in vocational schools than in gymnasiums (as well as
more in primary than secondary schools), this outcome, which should be taken as a sign of external
validity of the applied 7-item instrument, does support its application in further research on promoting
21st century digital skills.
Measures of Reliability Under Guttman’s Measurement Model</p>
      <p>Guttman-Nicewander
ITEM
I encouraged students to understand the basic functionalities and</p>
      <p>modes of work with digital platform and computer programs used
I encouraged students to search, select, and organize information in</p>
      <p>order to successfully attend lectures
I encouraged students to effectively share different types of</p>
      <p>information (text, images, videos, etc.) among class participants
I encouraged students to work in teams in order to effectively share
different types of information, have discussions, and make
decisions regarding the work goals set
I encouraged students to consider known facts in new ways or to use</p>
      <p>new ideas to produce the solution required
I encouraged students to evaluate validity and expediency of the</p>
      <p>information and approaches used in the class work
I encouraged students to understand the tasks given, knowledge and
skills needed to solve them, as well as to apply such knowledge
and skills to find solutions required
REP
0.99
0.99
0.99
0.99
0.99
0.99
0.99</p>
      <p>REP – Representativity; REL – Reliability; HOM – homogeneity; H – Validity in Hotelling’s space;
B – Validity in Burt’s space
psi 1
psi 2
psi 3
lambda 1
lambda 3
lambda 6
beta 3
Rho
h 1
h 2
h 5
0.61
0.75
0.59
0.58
0.75
0.71
0.62
REL</p>
      <p>HOM
0.76
0.85
0.76
0.75
0.85
0.83
0.78</p>
    </sec>
    <sec id="sec-4">
      <title>4. Closing Remarks</title>
      <p>By using a large sample of secondary school teachers, this study examined the psychometric
properties of a 7-item scale that was used to assess the extent to which participants promoted 21st
century digital skills in their online teaching. These properties dealt with representativity, reliability,
homogeneity, and validity. The examination showed that this scale was of a good quality for each of
these properties.</p>
      <p>Despite this outcome, nothing can be said about the use of this scale to survey students’ opinions
about the extent to which they acquired 21st century digital skills in their online (or other technology
supported) learning. Further research may thus examine the psychometric properties of this scale when
used by students whose learning has been supported with technology in some way.</p>
      <p>Further research may also focus on developing and testing a larger scale, where each 21st digital
skill is represented by several items (indicators). Bearing in mind 4C’s model of 21st century skills
mentioned above (whose founding skills are creativity, critical thinking, communication, and
collaboration), this larger scale may have a complex factor structure that would include some of those
founding skills.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgements</title>
      <p>The authors wish to thank all teachers who participated in this study. The research done by the first
and second authors was funded by the Ministry of Education, Science and Technological Development
of the Republic of Serbia (Contract No. 451-03-68/2022-14/200018).</p>
    </sec>
    <sec id="sec-6">
      <title>5. References</title>
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https://mpn.gov.rs/vesti/usvojen-novi-okvir-digitalnihkompetencija-nastavnika/</p>
      <p>Kadijevich, D.M., Gutvajn, N., &amp; Ljubojevic, D. Fostering 21st century digital skills
using platform technologies. Manuscript submitted for publication.</p>
      <p>Knezevic, G., &amp; Momirovic, K. (1996). RTT9g and RTT10g: Two programs for
analysis of the metric characteristic of composite measuring instruments. In Momirovic, K.
(Ed.), Measuring in Psychology (Vol. II, pp. 35–56). Beograd: Institut za Kriminoloska i
socioloska istrazivanja i Centar za primenjenu psihologiju.</p>
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        Cupać, Đ., Micić, I., Mijatović, N., Pavlović, S., &amp; Stekić, K. (2019). Development
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