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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>International Workshop on Augmented Reality in Education, May</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>The utility of free software in teaching of mathematics, physics and computer science for pre-service teachers</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Vladyslav Ye. Velychko</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Elena H. Fedorenko</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Donbas State Pedagogical University</institution>
          ,
          <addr-line>19 Henerala Batiuka Str., Sloviansk, 84116</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2024</year>
      </pub-date>
      <volume>17</volume>
      <issue>2023</issue>
      <fpage>127</fpage>
      <lpage>133</lpage>
      <abstract>
        <p>The increasing digitalization of education has led to a need for pre-service teachers in mathematics, physics and computer science to develop competencies in utilizing information and communication technologies (ICT) in their teaching practice. Free and open source software presents a valuable opportunity for educators to access powerful tools without the financial and legal barriers associated with proprietary software. This article examines the theoretical and methodological foundations for integrating free software into the professional training of pre-service teachers of mathematics, physics and computer science, based on the findings of a doctoral thesis by Velychko [1]. The study proposes a system for applying free software in teacher education, encompassing conceptual, content and technological components. Experimental results demonstrate the efectiveness of the proposed system in enhancing the ICT competencies of pre-service teachers. The article highlights the benefits and challenges of utilizing free software in education and provides recommendations for its implementation in teacher training programs.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;free software</kwd>
        <kwd>teacher training</kwd>
        <kwd>the concept of implementation</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        The rapid advancement of technology in the 21st century has had a profound impact on all sectors
of society, including education [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Teachers are expected to possess not only subject knowledge but
also the skills to efectively integrate ICT into their teaching practice [
        <xref ref-type="bibr" rid="ref3 ref4">3, 4</xref>
        ]. However, the cost and
licensing restrictions of proprietary software can present significant barriers for educational institutions,
particularly in developing countries [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Free and open source software (FOSS) ofers a solution by
providing access to high-quality tools without the associated financial and legal constraints [
        <xref ref-type="bibr" rid="ref6 ref7">6, 7</xref>
        ].
      </p>
      <p>
        The use of FOSS in education has been a topic of research for several decades [
        <xref ref-type="bibr" rid="ref8 ref9">8, 9</xref>
        ]. Studies have
shown that FOSS can be efectively utilized in various educational contexts, including engineering
[
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], computer science [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] and science education [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. However, the integration of FOSS in teacher
education programs, particularly for pre-service teachers of mathematics, physics and computer science,
remains an underexplored area.
      </p>
      <p>
        This article aims to address this gap by examining the theoretical and methodological foundations for
applying FOSS in the professional training of pre-service teachers of mathematics, physics and computer
science. The article is based on the findings of a doctoral thesis by Velychko [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], which proposed a system
for integrating FOSS into teacher education programs in Ukraine. The article presents an overview of
the proposed system, its components and the experimental results of its implementation. The benefits
and challenges of utilizing FOSS in teacher education are discussed, along with recommendations for
its efective integration into training programs.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Theoretical foundations</title>
      <sec id="sec-2-1">
        <title>2.1. The concept of free software</title>
        <p>
          Free software is defined by the Free Software Foundation as software that respects the freedom and
community of its users [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ]. This freedom is enshrined in four essential rights: the freedom to run the
program for any purpose, the freedom to study how the program works and adapt it to one’s needs, the
freedom to redistribute copies, and the freedom to improve the program and release those improvements
to the public [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ].
        </p>
        <p>
          The philosophy of free software aligns closely with the principles of academic freedom and the open
sharing of knowledge [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. Universities have played a key role in the development of free software,
with many groundbreaking projects originating from research labs and student communities [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ].
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. ICT competencies for teachers</title>
        <p>
          The integration of ICT into education has become a global priority, as evidenced by the UNESCO ICT
Competency Framework for Teachers [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ]. This framework outlines the knowledge and skills that
teachers need to efectively utilize ICT in their professional practice, including [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ]:
• Understanding the role of ICT in education
• Curriculum and assessment
• Pedagogy
• ICT
• Organization and administration
• Teacher professional learning
        </p>
        <p>
          For pre-service teachers of mathematics, physics and computer science, developing ICT
competencies is particularly crucial, as these subjects often involve the use of specialized software tools and
computational methods [
          <xref ref-type="bibr" rid="ref18 ref19">18, 19</xref>
          ]. However, research has shown that many teacher education programs
do not adequately prepare pre-service teachers to integrate ICT into their teaching practice [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ].
        </p>
      </sec>
      <sec id="sec-2-3">
        <title>2.3. Benefits of free software in education</title>
        <p>
          The use of free software in education ofers several significant benefits, including:
• Cost savings – free software eliminates the need for expensive licensing fees, making it more
accessible for educational institutions with limited budgets [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ].
• Flexibility – the open source nature of free software allows educators to customize and adapt
tools to meet their specific needs [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ].
• Skill development – working with free software can help students develop valuable technical
skills, such as programming and problem-solving [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ].
• Collaboration – free software projects often have active communities of users and developers,
providing opportunities for students and educators to collaborate and learn from each other [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ].
        </p>
        <p>
          Despite these benefits, the adoption of free software in education faces several challenges, including
lack of awareness, technical support and training for educators [
          <xref ref-type="bibr" rid="ref25">25</xref>
          ].
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. A system for applying free software in teacher education</title>
      <p>
        Velychko [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] proposed a system for integrating free software into the professional training of pre-service
teachers of mathematics, physics and computer science. The system consists of three main components
(figure 1).
      </p>
      <p>CONCEPTUAL SUBSYSTEM
Purpose</p>
      <p>Problem</p>
      <p>Approaches</p>
      <p>Principles</p>
      <p>CONTENT SUBSYSTEM
Structural components of
information competence</p>
      <p>Leading idea: study</p>
      <p>of technologies
Open systems and standards; open
education; e-learning; free software
TECHNOLOGICAL SUBSYSTEM</p>
      <p>Stages of formation of
information competence
Methods</p>
      <p>Means</p>
      <p>Forms</p>
      <p>SUBSYSTEM OF QUALITATIVE
AND QUANTITATIVE PARAMETERS</p>
      <p>Criteria for assessing IT competence
Levels of formation of information competence</p>
      <p>The result is an increase in the
level of information competence</p>
      <sec id="sec-3-1">
        <title>3.1. Conceptual component</title>
        <p>The conceptual component outlines the goals, objectives, approaches and principles of the system.
The main goal is to enhance the ICT competencies of pre-service teachers through the use of free
software. The objectives include providing access to powerful tools, developing technical skills and
promoting collaboration. The system is grounded in competency-based, innovation-oriented and
synergetic approaches to learning.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Content component</title>
        <p>The content component defines the structure and content of ICT competencies for pre-service teachers,
as well as the key concepts and ideas related to free software in education. The competencies encompass
knowledge, skills and attitudes in areas such as:
• Information and data literacy
• Communication and collaboration
• Digital content creation
• Safety
• Problem-solving</p>
        <p>The content component also emphasizes the importance of open educational resources, e-learning
and the role of free software in enabling open education practices.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Technological component</title>
        <p>The technological component focuses on the practical implementation of the system, including the
stages of ICT competency development, teaching methods, tools and forms of learning. The stages of
development are:
1. Motivational-purposeful
2. Exploratory
3. Orientational-planning
4. Control-evaluative
5. Regulatory-corrective</p>
        <p>The teaching methods include problem-based learning, project-based learning and collaborative
learning. The tools used are primarily free software applications for mathematics, physics and computer
science, such as GeoGebra, Python and LaTeX. The forms of learning include lectures, laboratory work,
independent study and project-based activities.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Experimental results</title>
      <p>
        Velychko [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] conducted an experimental study to evaluate the efectiveness of the proposed system
in enhancing the ICT competencies of pre-service teachers. The study involved 240 students from
pedagogical universities in Ukraine, divided into control and experimental groups.
      </p>
      <p>The results showed that the experimental group, which was taught using the free software-based
system, had significantly higher levels of ICT competency compared to the control group. In particular,
the experimental group demonstrated better skills in using free software tools for problem-solving,
digital content creation and collaboration.</p>
      <p>The study also found that the use of free software in teacher education had a positive impact on
students’ motivation and engagement in learning. Students reported feeling more empowered and
confident in their ability to use technology in their future teaching practice.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Discussion and recommendations</title>
      <p>
        The findings of Velychko [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] demonstrate the potential of free software as a valuable tool for enhancing
the ICT competencies of pre-service teachers. By providing access to powerful, flexible and collaborative
tools, free software can help bridge the digital divide and prepare future teachers to efectively integrate
technology into their teaching practice.
      </p>
      <p>
        However, the successful integration of free software in teacher education requires more than just
access to tools. It also requires a supportive institutional environment, adequate technical infrastructure
and ongoing professional development opportunities for educators [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ].
      </p>
      <p>Based on the findings of this study, the following recommendations are proposed for integrating free
software into teacher education programs:
• Raise awareness about the benefits of free software among educators, administrators and
policymakers.
• Provide training and support for educators to efectively use free software tools in their teaching
practice.
• Encourage collaboration and sharing of resources among educators, both within and across
institutions.
• Integrate free software into the curriculum, not just as a separate subject but as a tool for enhancing
learning across disciplines.
• Foster partnerships with free software communities and industry to provide real-world learning
opportunities for students.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusion</title>
      <p>The integration of free software into the professional training of pre-service teachers of mathematics,
physics and computer science presents a promising approach for enhancing their ICT competencies and
preparing them for the challenges of 21st century education. By leveraging the power of free software,
teacher education programs can provide access to high-quality tools, foster collaboration and skill
development, and promote open education practices.</p>
      <p>However, realizing the full potential of free software in teacher education requires a concerted efort
from educators, institutions and policymakers. It requires awareness-raising, capacity-building and the
creation of supportive environments that encourage experimentation and innovation.</p>
      <p>As the world becomes increasingly digital, it is imperative that we equip future teachers with the
skills and tools they need to navigate this landscape efectively. Free software ofers a path forward
that is both accessible and empowering, and it is up to us as educators to seize this opportunity and
make it a reality.</p>
    </sec>
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