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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Organization of the digital learning environment: experience of the COUL project in Ukrainian higher education institutions</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Dmytro M. Bodnenko</string-name>
          <email>d.bodnenko@kubg.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oksana M. Hlushak</string-name>
          <email>o.hlushak@kubg.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Maryna V. Hrysenko</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleksandra V. Lokaziuk</string-name>
          <email>o.lokaziuk@kubg.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Borys Grinchenko Kyiv Metropolitan University</institution>
          ,
          <addr-line>18/2 Bulvarno-Kudriavska Str., Kyiv, 04053</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Institute of Mathematics of NAS of Ukraine</institution>
          ,
          <addr-line>3, Tereshchenkivska Str., Kyiv, 01024</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Taras Shevchenko National University of Kyiv</institution>
          ,
          <addr-line>60, Volodymyrska Str., Kyiv, 01033</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2025</year>
      </pub-date>
      <fpage>74</fpage>
      <lpage>86</lpage>
      <abstract>
        <p>The article analyses the experience of organising and implementing the collaborative online Ukrainian learning (COUL) educational project dedicated to mathematical modelling and artificial intelligence. The project was successfully implemented in the context of the digital learning environment in 2025 with the participation of leading Ukrainian research and educational institutions: Borys Grinchenko Kyiv Metropolitan University, Taras Shevchenko National University of Kyiv, Institute of Mathematics of the National Academy of Sciences of Ukraine, and Institute of Digitalisation of Education of the National Academy of Pedagogical Sciences of Ukraine. The research is focused on adapting the COIL model to the digital Ukrainian educational environment, considering the national higher education system's digital learning technologies, language, and organisational and pedagogical features. The project's key objectives were to develop a digital learning environment based on inter-institutional cooperation, build teamwork skills of project participants, introduce project-based learning, and strengthen digital communication between students of diferent study programmes and regions. The article describes three main stages of the COUL project: preparatory (January-February 2025), which included agreeing on goals, choosing topics, and developing criteria for assessing the level of academic achievement; main (March-April 2025), during which participants carried out research activities using digital technologies in mixed interdisciplinary teams on projects to integrate artificial intelligence into education (artificial intelligence in mathematics teaching: from theory to practice, handwriting recognition: how mathematics and AI help in education, adaptive learning: creating a mockup of an intelligent maths tutor, optimising learning processes); and the final one (April 2025), which included final project presentations and an anonymous survey.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;digital learning environments</kwd>
        <kwd>digital cooperation</kwd>
        <kwd>digital collaboration</kwd>
        <kwd>collaborative online Ukrainian learning</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>In the context of transformations caused by the globalisation processes of our time, quality higher
education requires not only professional knowledge, but also the development of intercultural
communication skills, digital interaction and teamwork experience in the online environment. One of the
efective ways of implementation that combines these components is the collaborative online learning
(COL) model, which is actively developing in the context of the Internationalisation at Home (IaH)
concept.</p>
      <p>In response to these challenges and opportunities, we have initiated an educational experiment in
the format of collaborative online Ukrainian learning (COUL) – online collaboration between students
from diferent Ukrainian higher education institutions. The diference between our approach and the
European COL model is that the project was implemented domestically and in Ukrainian, with the
aim of preparing the academic community for further participation in full-fledged international
COILprojects. This phased approach is first testing the model in the national context, and then scaling it up
to the international level allows us to take into account the specifics of Ukrainian higher education, the
needs and readiness of students and teachers for inter-institutional cooperation.</p>
      <p>Despite the active promotion of COIL in the world, in the Ukrainian context, such initiatives remain
few and far between. There is currently a lack of systematic descriptions of local experience in
implementing such forms of learning. Therefore, the publication of case studies, analysis of educational
outcomes and identification of challenges is particularly relevant.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Problem statement</title>
      <p>Given these needs, the task is to find efective mechanisms and means of forming digitalised educational
trajectories for higher education students that can simultaneously ensure compliance with both the
requirements of the higher education institution and the educational needs of the students themselves.
In the process of implementing this task, a number of contradictions arise, the main ones of which are
presented below:</p>
      <p>Contradictions between the global nature of the COIL model and the specifics of national higher
education:</p>
      <p>On the one hand, COIL as an internationally recognised model promotes open inter-university
interaction in a digital learning environment, provides multidisciplinary and intercultural learning. On
the other hand, there is a need to take into account the specifics of national higher education: language,
organisational, pedagogical features, as well as standards, traditions and requirements of a particular
country (in this case, Ukraine).</p>
      <p>Contradictions between the specialisation frameworks of disciplines and the need for interdisciplinary
project interaction: On the one hand, higher education students acquire a deep specialisation within
specific educational programmes (mathematics, pedagogy, computer science, etc.). On the other hand,
modern challenges in education, especially in the context of the integration of artificial intelligence
into the educational process, require the interaction of specialists from diferent disciplines, collective
project thinking, and mutual learning.</p>
      <p>The purpose of this article is to highlight the experience of organising and implementing a COUL
project between Ukrainian universities, analyse the educational outcomes obtained by students in the
process of online collaboration, describe the chosen project topic as unique in terms of interdisciplinarity,
and formulate recommendations for the further use of COIL approaches in the curricula of Ukrainian
universities.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Review of recent works</title>
      <p>
        Zaitseva et al. [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] analyse the development of communication and collaboration skills in computer
science students using ICT tools and reveal the experience of implementing pilot projects that simulate
professional tasks for educational collaboration.
      </p>
      <p>
        Semerikov et al. [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] outlines the key components and principles of implementing innovative ICT
environments, including immersive ones, and considers the development of digital competencies of
teachers necessary for efective work in an immersive digital environment.
      </p>
      <p>
        The study by Oleksiuk et al. [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] presents a model of an integrated cloud-based learning environment,
which includes communication tools, and reveals learning opportunities for deploying programmes
through Google services, which is useful for our study in terms of collaboration in learning.
      </p>
      <p>
        The modern tasks of digital transformation of education, which are outlined in the studies of Bykov
et al. [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] and the analysis of digital transformation of open scientific and educational environments
[
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], encourage the authors of the study to adapt and implement world educational practices in the
educational process of Ukrainian higher education institutions.
      </p>
      <p>
        Collaborative online international learning (COIL) is an innovative educational practice that allows
students and teachers from diferent countries to work together on academic tasks through online
communication. The model was initiated by Jon Rubin, who founded the COIL Centre at SUNY [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
The main goal of COIL is to promote the internationalisation of curricula by creating a common virtual
space for intercultural interaction, development of global competences and critical thinking.
      </p>
      <p>
        Rubin and Guth [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] emphasise that COIL can be an efective tool not only for intercultural exchange,
but also for updating the content of academic disciplines. They also point out that project-based
learning in an online format requires careful coordination between teachers, which requires new
support strategies from universities.
      </p>
      <p>However, COIL is implemented in English, which creates barriers to the inclusion of students with
uneven levels of English proficiency. In this context, the idea of localised models, such as Collaborative
Online Ukrainian Learning (COUL), is relevant, as they allow the methodology to be developed on the
basis of universities in one country and gradually integrated into the international space.</p>
      <p>
        Mathematical modelling has traditionally been seen as a key component of training for students
of science, mathematics and engineering. The study by Lytvynova [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] notes that the introduction of
computer modelling systems contributes to the development of systemic thinking and the ability to
formalise applied problems. The relevance of the topic is enhanced by the needs of digital transformation
of the economy, which requires students not only knowledge of classical mathematics but also skills in
applying data mining. In this context, the integration of artificial intelligence (AI) elements into the
educational process is an important step towards updating STEM education. According to the analytical
report AI House Ukraine [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], AI is becoming not only a subject of research but also a learning tool,
especially in the areas of modelling, forecasting, and automated decision-making.
      </p>
      <p>Thus, the project topic is the combination of mathematical modelling and artificial intelligence is
extremely relevant, and its implementation within COUL allows for the integration of modern content,
inter-university cooperation, development of future skills, and the digital educational environment.</p>
      <p>The aim of the study is to analyse the experience of organising and implementing the
Collaborative Online Ukrainian Learning (COUL) educational project on mathematical modelling and artificial
intelligence (using a digital educational environment), which was implemented in 2025 with the
participation of four leading Ukrainian research and educational institutions: Borys Grinchenko Kyiv
Metropolitan University, Taras Shevchenko National University of Kyiv, Institute of Mathematics of
the National Academy of Sciences of Ukraine, and the Institute of Digitalisation of Education of the
National Academy of Pedagogical Sciences of Ukraine. The project was implemented in the format of a
virtual educational exchange localised to the Ukrainian educational environment, which allowed us to
test the COIL model taking into account the language, organisational and pedagogical features of the
national higher education system. The working language was Ukrainian, and the main focus was on the
development of inter-institutional cooperation, teamwork, project-based learning, and digital
communication between students of diferent study programmes and regions. The study was conducted as part
of the comprehensive scientific project of the Department of Computer Science titled “Mathematical
methods and digital technologies in education, science, technology”, DR No. 0121U111924.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Results of the research</title>
      <p>
        We understand the concept of “Digital learning environment” as a component of the educational process
that includes a variety of digital platforms, tools and techniques that are due to the intensification of
the use of information and communication technologies (ICT) and online resources, which leads to the
transformation of learning tools, interaction and assessment in the educational process, as revealed in
the studies [
        <xref ref-type="bibr" rid="ref10 ref4">4, 10</xref>
        ].
      </p>
      <sec id="sec-4-1">
        <title>4.1. Stages of the COUL project implementation</title>
        <sec id="sec-4-1-1">
          <title>1. Preparatory stage (January–February 2025).</title>
          <p>The organising teachers held a series of online coordination meetings to agree on key aspects of
the project. At this stage, it was important to establish efective communication between all teachers
involved in the project. Teachers from the Ukrainian higher education institutions, Borys Grinchenko
Kyiv Metropolitan University and Taras Shevchenko National University of Kyiv, met online to discuss
the details of the project.</p>
          <p>During the series of meetings, the general principles of cooperation and organisational issues were
discussed. Particular attention was paid to issues related to the adaptation of national educational
standards to the COUL format. Each teacher got acquainted with the programmes of other universities,
which allowed them to better understand the requirements and specifics of the disciplines to avoid
misunderstandings in the course of the project.</p>
          <p>One of the key tasks of this stage was to choose a suitable topic that would not only interest students
but also meet the current requirements of the educational process in Ukraine and abroad. As a result
of the discussions, it was decided to focus on mathematical modelling and artificial intelligence, two
relevant topics that have great potential for application in the educational process.</p>
          <p>The learning objectives were to formulate tasks that would help students: develop critical thinking
through the application of mathematical models to real-world problems; acquire basic skills in working
with algorithms and artificial intelligence in the context of education; and improve their ability to
project-based learning through collaboration in international teams.</p>
          <p>Overall, the aim of the project was to provide students with the opportunity to study complex
theoretical issues in practice through a digital learning environment, using modern AI tools to solve
mathematical problems.</p>
          <p>After identifying the learning topic, it was decided that the project would be implemented in a virtual
teamwork format. Students from diferent universities will be grouped into mixed teams, which will
allow them to work on common tasks and exchange ideas through online platforms. The following
online platforms have been selected for the project: Zoom for regular online meetings on Thursdays;
Google Docs for collaborative work on documents, reports, and presentations. In addition, clear
evaluation criteria were developed, including: the quality of the task (scientific approach, accuracy
of results, application of mathematical methods); innovation of the solution (creative approach to
solving the problem, application of AI); teamwork (efectiveness of communication and cooperation
between students from diferent universities); presentation of results (quality of presentation, clarity
and comprehensibility of presentation). Each of the 5 criteria has a weight of 20%; each criterion is
scored on a 5-point scale (1–5 points). After evaluation, each score is multiplied by the weighting factor
(20%) to arrive at a final score. These evaluation criteria provided an objective approach to assessing
student work. The project was implemented as part of independent work within the following academic
disciplines: Probability Theory, Big Data Analysis, Mathematical Studies, and Systems Analysis.</p>
          <p>Since the project was conducted with a limited time frame (4 weeks), an important step was to
agree on a work schedule. The teachers agreed on a clear timetable for completing assignments and
presentations: The first week getting to know students, forming teams, discussing the project topic; the
second and third weeks researching the topic, developing mathematical models and algorithms; the
fourth week demonstrating team presentations.</p>
          <p>2. Main stage (March–April 2025).</p>
          <p>The active phase of the project involved 31 students from four leading Ukrainian research and
educational institutions. Students from diferent study programmes worked in mixed teams, which
allowed them to share experiences and apply an interdisciplinary approach to solving problems. Here
is a list of project participants: 2nd year students of the Mathematics (Secondary Education) study
programme at the Faculty of Mechanics and Mathematics of Taras Shevchenko National University
of Kyiv (13 students); 3rd year students of the Mathematics study programme (6 students) and 2nd
year students of the Computer Science study programme (6 students) of the Faculty of Information
Technologies and Mathematics of Borys Grinchenko Kyiv Metropolitan University; Postgraduate
students of the Institute of Mathematics of the National Academy of Sciences of Ukraine (2 students)
and the Institute of Digitalisation of Education of the National Academy of Pedagogical Sciences of
Ukraine (4 students).</p>
          <p>After the teams were formed, the students actively discussed topics and approaches to solving
the tasks. Each team chose a specific topic that reflected their interests and scientific orientations.
Team “Secondary Education + Mykola” (students majoring in Mathematics (Secondary Education) of
Taras Shevchenko National University of Kyiv and a PhD student of the Institute of Mathematics of
the National Academy of Sciences of Ukraine) chose the topic “Artificial Intelligence in Mathematics
Teaching: From Theory to Practice”. The team focused on the integration of artificial intelligence
methods into the mathematics learning process, exploring the possibilities of creating automated
learning platforms that could adapt the material to the individual needs of students.</p>
          <p>The Genius People team (students of the Computer Science of the Borys Grinchenko Kyiv Metropolitan
University) chose the topic Handwriting Recognition: How Mathematics and AI Help in Education. The
topic involved the development of machine learning algorithms for automatic handwriting recognition.
The team focused on developing tools to process students’ handwritten assignments, which would
greatly simplify the process of checking and analysing them.</p>
          <p>The team “In Love with Mathematics” (a team of students majoring in Mathematics at Borys
Grinchenko Kyiv Metropolitan University and Mathematics (Secondary Education) Taras Shevchenko
National University of Kyiv) chose the topic “Adaptive learning: creating a mock-up of an intelligent
maths tutor”. The team worked on to create a prototype of an adaptive learning application in
mathematics that uses artificial intelligence methods to personalise learning. This app was able to change
the dificulty of tasks depending on the student’s level, providing individualised recommendations to
improve results.</p>
          <p>The Mathoptimum team (students majoring in Mathematics at Borys Grinchenko Kyiv Metropolitan
University, students majoring in Mathematics (Secondary Education) of Taras Shevchenko National
University of Kyiv and a PhD student of the Institute of Mathematics of the National Academy of
Sciences of Ukraine) chose the topic “Optimisation of Educational Processes”. As part of this project,
the team investigated the impact of using mathematical models on: optimising the educational process,
improving classroom organisation; and efective time management.</p>
          <p>During the main stage, students worked in teams, where each participant made an individual
contribution to a common task. Interaction between representatives of diferent educational institutions
and specialities facilitated the exchange of knowledge, approaches and styles of thinking. In the
process of teamwork, students not only combined theoretical knowledge with practical skills, but
also found themselves in conditions as close as possible to a real professional environment. They
had the opportunity to prove themselves as specialists: to learn how to communicate efectively with
representatives of other industries, coordinate teamwork, distribute roles according to competencies
and take responsibility for the result. This experience shaped their understanding of interdisciplinary
interaction and the importance of teamwork for the successful implementation of complex projects,
both within the educational process and in their future professional activities.</p>
          <p>3. The final stage (April 2025) The final event of the project was a face-to-face meeting of all
participants at Borys Grinchenko Kyiv Metropolitan University. This event was not only a presentation
of the developed solutions, but also an important stage of professional growth for students. Each
team presented its project to a wide audience of teachers, experts in mathematical modelling, artificial
intelligence, and invited representatives of the academic community.</p>
          <p>During the final presentation, the students demonstrated not only the results of teamwork, but also
public speaking, argumentation, data presentation and visualisation skills. The projects covered both
theoretical aspects and practical solutions, which confirmed their applied value.</p>
        </sec>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Team projects</title>
        <p>Team “Secondary Education + Mykola”, topic: “Artificial intelligence in mathematics teaching: from
theory to practice”.</p>
        <p>The aim of the project was to empirically study the efectiveness of using artificial intelligence (AI)
tools in teaching mathematics to secondary school students. The project involved students of pedagogy
who conducted a series of experimental lessons in grades 7–11 on the following topics: “Graph of a
linear equation”, “Area of a trapezoid”, “Classical definition of probability”, “Functions. Their graphs.
Linear function”.</p>
        <p>AI-based digital tools were involved in the project: ChatGPT, GeoGebra, Gradescope, Kahoot! AI,
and Wolfram Alpha. In particular, ChatGPT was used to generate variable tasks (figure 1), create lesson
plans and interactive didactic materials, which contributed to the individualisation of the learning
process A positive example in the project’s implementation practice was the identification of the ability
of artificial intelligence to generate original mathematical problems on the topic of probability theory.
The analysis showed that ChatGPT is able to create variable tasks with a changed context; however,
achieving full originality requires additional editing and evaluation of the didactic efectiveness of tasks
by a specialist.</p>
        <p>The results of the experimental lessons showed a positive perception of the innovative approach by
students and teachers. The main advantages were identified as: quick feedback, the ability to adapt the
material to the student’s level, and stimulating students’ independence and critical thinking. Challenges
include a low level of skills in interacting with AI, technical limitations (including parental control),
and insuficient mathematical training of some students.</p>
        <p>The project emphasises the importance of using AI as an auxiliary tool in the educational process,
aimed at transforming pedagogical practice through the active use of digital tools rather than replacing
the teacher. This approach reflects the current trend towards digital modernisation of the educational
environment through the integration of technology into the learning process.</p>
        <p>Team “Genius People”, topic: “Handwriting Recognition: How Mathematics and AI Help in Education”.</p>
        <p>The team conducted interdisciplinary research and developed a digital tool for recognising
handwritten mathematical text based on machine learning and computer vision algorithms. The project
focused on the applied aspect of combining mathematical modelling and artificial intelligence in the
educational environment. COUL competitors and teammates of the Genius People team were involved
in testing this product.</p>
        <p>The aim of the project was to create a web application capable of recognising mathematical
handwriting, formulas, and symbols and converting them into a machine-readable printed format. The target
audience of the project is schoolchildren, students, and teachers who need a convenient tool to quickly
transfer information from paper or handwritten media to digital format. The proposed solution not
only simplifies text entry, but also creates conditions for automating the checking of tests, analysing
mathematical records, and providing feedback, which is important for building an efective educational
process.</p>
        <p>Product development involves several key stages: analytical research of current solutions in the
ifeld of OCR (optical character recognition), mathematical modelling of convolutional neural networks,
building an application architecture, creating a prototype interface, and implementing the functionality.
At the initial stage of testing, the system worked using the Tesseract.js library, but the limited accuracy
and slow speed of image processing, especially handwriting, necessitated the transition to the Google
Cloud Vision API service. The latter provided a significant improvement in recognition due to the
use of deep convolutional neural networks, LSTM modules for sequence processing, and the ability to
determine the language of the text without manual intervention.</p>
        <p>The front-end of the application was implemented using React.js, which allowed us to create a
minimalistic but intuitive user interface. All calculations are performed in the cloud, which ensures
fast image processing and high accuracy of the results. The user can upload an image, get the text
recognised, copy it or save it, making the app suitable for everyday use in education.</p>
        <p>The project is innovative due to the interdisciplinary combination of mathematical theory, IT
solutions and practical educational value. The web application can be used on a variety of devices and
supports multilingual text input, which expands the scope of its potential use. In addition, the project
participants outlined prospects for further development of the system, including the introduction of
image preprocessing algorithms (binarisation, noise filtering), improvement of UX design, interface
adaptability, and increased accuracy of mathematical symbol recognition.</p>
        <p>Thus, the case study demonstrates an example of deep integration of artificial intelligence into
educational practice and a high level of analytical, technical, and team training of students. The
successful implementation of such a project within the COUL approach confirms the success of student
collaboration, the development of digital skills, and the ability of students to create relevant digital
educational tools.</p>
        <p>Team “In love with mathematics”, topic: “Adaptive learning: creating a mock-up of an intelligent
mathematics tutor”.</p>
        <p>The project was aimed at creating the concept of a digital platform for adaptive learning in
mathematics based on artificial intelligence tools. The goal is to provide personalised support to students, taking
into account their pace, style of perception and level of knowledge. The research base of the project
involved applicants from higher education institutions, professional higher education institutions, and
general secondary education institutions.</p>
        <p>As part of the preparation of the project architecture, a sociological survey was conducted on the
efectiveness of learning modes, motivational factors, and challenges of the distance learning process.
Based on the results, a platform model was formed that includes the use of modern LLMs (GPT-4, Claude,
Gemini AI), mathematical API services (Wolfram Alpha, Symbolab, Mathpix), as well as gamification
and multimedia components (including D-ID Studio for creating a virtual teacher).</p>
        <p>The technological basis of the project includes a stack of Python, FastAPI, React.js, PostgreSQL,
as well as WebSocket protocols for implementing a system of instant communication between users
(figure 2). The platform architecture provides scalability, flexibility, and integration with cloud services
for its full deployment.</p>
        <p>Thus, the case study of the student project “In Love with Mathematics” is an example of an
interdisciplinary educational experience that combines modern technological approaches, analysis of
pedagogical needs, and research on digital educational environments. The results obtained indicate
a high potential for engaging future professionals in the development of innovative solutions at the
intersection of education, artificial intelligence and UX design. The presented model has prospects for
practical implementation in the context of the digital transformation of education and contributes to
the formation of students’ digital competence, development of their creativity and ability to work in a
team in a global intercultural educational environment.</p>
        <p>Team “Mathoptimum”, topic: “Optimisation of educational processes”.</p>
        <p>The project is dedicated to the development of a digital solution for the formation of individual
educational trajectories of students in higher education institutions using artificial intelligence tools
and mathematical optimisation models. At the initial stage, more than 100 students were surveyed to
identify key dificulties in choosing a speciality, adapting to the educational environment, and building
a professional strategy (figure 3).</p>
        <p>Based on the data obtained, the concept of an intelligent assistant is proposed, which, using algorithms
for analysing educational requests and mathematical models (for example, the “backpack problem”),
ofers individual curricula. It takes into account regulatory and legal restrictions, the logical sequence
of disciplines and the possibility of independent choice of educational modules.</p>
        <p>The next steps include building a prototype of the tool using LLMs, expanding the survey sample,
and integrating it with the internal educational systems of universities. The project demonstrates a high
level of analytical and methodological training of students and has the potential to be implemented at
both the institutional and national levels.</p>
      </sec>
      <sec id="sec-4-3">
        <title>4.3. Research tools</title>
        <p>The jury, consisting of independent experts from relevant institutions, evaluated the submitted papers
according to the following criteria: innovation, interdisciplinarity, practical relevance, quality of
presentation and teamwork. Based on the results of the evaluation, the winning team was determined
and received certificates and an award for the best project implementation.</p>
        <p>Immediately after the final meeting, all participants completed an anonymous survey designed
to collect feedback on their participation in COUL. The questionnaire contained both quantitative
and open-ended qualitative questions to assess student satisfaction, engagement, self-assessment of
skills acquired, and to identify the main challenges, such as dificulties in online communication, time
coordination, and division of responsibilities. The results of the survey formed the basis for further
analysis of the efectiveness of COUL as a tool for developing students’ professional and interpersonal
competences.</p>
        <p>The analysis of the project’s feasibility was based on: a questionnaire developed in Google Forms;
detailed open responses from students; and reflective comments from participating teachers.</p>
        <p>An analysis of the survey was conducted. The entrance questionnaire helped to determine the starting
position of the participants, their goals and expectations, as well as the most comfortable forms of
interaction (messengers, online platforms). It collected contact details (emails, phone numbers, etc.),
information about the participants’ knowledge of the latest technologies and digital competence, and
identified their desired roles in the teams. The collected data was used to individualise the approach and
align the project objectives with the wishes of the participants. The entrance survey helped to identify:
the level of self-assessment of participants’ digital competencies (figure 4) – most participants felt quite
confident (61.5% answered “Good”); the level of proficiency in the proposed Google Workspace services
and graphic editors, AI services – more than 84%, while 3D modelling applications (natural sciences,
computer science, etc.) – only a few cases (about 4%) (figure 5); competencies desired to be mastered
after the training (figure 6).</p>
        <p>In the survey, respondents were asked to assess whether, in their opinion, they had acquired or
improved certain knowledge and skills in the course of project activities. The collected responses
showed that the vast majority of participants (85%) positively assessed their experience of participating
in the project, with only a small number (about 10%) indicating that they did not feel any significant
changes. The respondents noted an increase in both theoretical knowledge and practical skills in the
relevant field, which indicates the positive impact of the project form of work as a means of professional
and personal development (figure 7a) and noted that the knowledge gained would be useful in your
future studies or career (figure 7b).</p>
        <p>The survey assessed the level of development of key professional skills that respondents indicated as
having been acquired or improved during the project. The results allow us to identify priority areas for
personal and professional growth of the participants. The highest score was recorded in the category of
teamwork – 17 respondents (85%) noted this competence, which indicates the significant role of joint
activities in the project format. High scores were also recorded for communication and collaboration
skills, with 11 respondents (55%) each indicating an improvement in these aspects. Time management
and digital skills were noted by 8 participants (40%), which indicates a moderate level of development
of these skills in the framework of project work. To a lesser extent, the development of leadership skills
was recorded – 7 respondents (35%) reported their improvement (figure 8).</p>
        <p>In general, the results of the survey show that the experience of organising a COUL project learning
environment can be an efective means of developing soft skills, in particular in the context of teamwork,
communication and cooperation, which are of key importance for a modern specialist.</p>
        <p>The qualitative questions also include the question “What national or international projects would
you like to participate in in the future?”. The answers show that respondents are highly motivated to
participate in project activities aimed at professional and personal growth. Participants show interest
in a wide range of topics: from educational and scientific to business and practice-oriented initiatives,
which indicates their readiness to actively participate in interdisciplinary and international cooperation
formats. Such a request also emphasises the importance of such competencies as critical thinking,
creativity, adaptability and the ability to work in a global environment.</p>
        <p>Discuss</p>
        <p>
          The Collaborative Online Ukrainian Learning (COUL) pilot project demonstrated the potential of
digital inter-institutional learning in the field of mathematical modelling and artificial intelligence. The
participation of students and postgraduates representing various Ukrainian educational and scientific
institutions made it possible to create an integrated learning and research environment in which
participants were able to immerse themselves in conditions that were as close as possible to real
professional activity. In particular, they had the opportunity to work in multidisciplinary teams,
collectively analyse and solve complex problems, present their results to a wide audience, and receive
a reasoned professional assessment of their work. Our project is consistent with the findings of
international studies [
          <xref ref-type="bibr" rid="ref6 ref7">6, 7</xref>
          ], which emphasise the importance of teamwork and soft skill development
in the distance learning process. The introduction of the Ukrainian-language COIL format was an
important step in the development of innovative approaches to the organisation of the educational
process, which, in turn, opens up prospects for the further integration of this practice into a broader
international context. In particular, this refers to the need for more active involvement of foreign
partners, expansion of inter-university cooperation, and participation in joint global projects aimed at
strengthening intercultural communication and academic mobility.
        </p>
        <p>The analysis of the survey results shows high motivation, engagement and satisfaction of the training
participants, which confirms its significance in both didactic and social aspects. At the same time,
the findings allow us to outline a number of areas for further improvement of the project, taking into
account the identified organisational dificulties caused by the heterogeneity of the participants.</p>
        <p>1. Optimising online communication in teams. Given the dificulties associated with establishing
efective interaction between participants from diferent institutions, it is advisable to introduce tools
for structured online communication. In particular, it is recommended to provide participants with a
single digital platform for team interaction, introduce preliminary instructions on digital etiquette, and
provide moderator support at the initial stages of team work.</p>
        <p>2. Regulate the distribution of tasks in teams. To avoid imbalances in the workload between
team members, clear algorithms for the distribution of responsibilities should be proposed, with the
possibility of recording the contribution of each member. The introduction of self-assessment and
mutual assessment tools within teams will help to distribute the workload more fairly and increase the
responsibility of each member.</p>
        <p>3. Improve time management and time coordination. Given the dificulties in coordinating the time
for completing tasks, it is advisable to introduce calendar planning with intermediate deadlines, as well
as provide participants with instructions and recommendations on efective time management. It is
also possible to engage facilitators or mentors to support teams in planning their work and ensuring
that they stay on track.</p>
        <p>The implementation of the proposed measures has the potential to become an important factor in
stimulating students’ research activity, forming efective models of team interaction, and achieving a
higher level of performance in the process of completing project tasks. COUL projects should be viewed
not only as an innovative educational practice, but also as a modern pedagogical technology aimed
at the comprehensive development of professional, communicative, digital and social competencies
of higher education seekers. An important aspect is that the implementation of such projects creates
conditions for deepening the processes of internationalisation of higher education, which is evident
even within a single national education system thanks to the formation of a multicultural environment
for cooperation.</p>
        <p>Further development of the initiative is envisaged in two key dimensions. Firstly, in quantitative
terms, by involving more students and teachers in project activities. Secondly, in qualitative terms – by
establishing partnerships with representatives of foreign universities, expanding the range of teaching
and research tasks and increasing their complexity, which will contribute to raising academic standards
and integrating students into the international scientific and educational space.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>The implementation of the COUL pilot project has demonstrated the efectiveness of digital
interinstitutional learning in the field of mathematical modelling and artificial intelligence. The involvement
of undergraduate and postgraduate students from various Ukrainian educational and research
institutions allowed us to create an environment in which participants could feel themselves in conditions
close to professional activities: work in multidisciplinary teams, solve complex problems together,
present results, and receive professional evaluation.</p>
      <p>The project proved that even within the national educational space, it is possible to implement a
high-quality COIL experience that meets international standards. Successful implementation of the
Ukrainian-language COUL involves further expansion of the practice in the international context, with
the involvement of foreign partners (and participation in COIL projects).</p>
      <p>Analysis of the survey results shows a high level of academic motivation, cognitive and emotional
engagement, and satisfaction among participants in the educational project, confirming its significance
in terms of both didactic and social parameters. At the same time, the organisational dificulties identified
outlined areas for improvement, in particular: optimisation of online communication, introduction of
clear algorithms for task distribution, and improvement of time management and coordination.</p>
      <p>The implementation of these measures will help to increase research activity, strengthen teamwork,
and achieve better results in project work. COUL projects are a pedagogical technology that promotes
the development of students’ professional, communicative, digital and social skills, as well as the
internationalisation of higher education even within one country. In the future, it is planned to scale up
the initiative – both in quantitative (involving more participants) and qualitative (involving foreign
partners, complicating tasks) dimensions.</p>
      <p>Prospects for further research</p>
      <p>The pilot implementation of the COUL project provides the potential for further research in the
ifeld of innovative pedagogy, digital collaboration and professional training of students. In particular,
promising areas for further study include:</p>
      <p>- Analysing the educational outcomes of students who participated in COUL compared to traditional
forms of education, with a focus on the development of soft skills, critical thinking, and the ability to
interact interdisciplinarily.</p>
      <p>- Improving the project interaction model: developing standard COUL course formats for STEM
disciplines that take into account diferent levels of student training, as well as the use of digital tools
for project management.</p>
      <p>- Internationalisation of COUL: development of a strategy for implementing Ukrainian experience in
an international context, including language adaptation, cultural sensitivity, and organisational features
of cooperation with foreign universities.</p>
      <p>Thus, COUL projects require not only further scaling but also systematic study by educators,
methodologists, psychologists, digital specialists and educational data analysts. This will help to form a
scientifically sound basis for their widespread implementation in higher education in Ukraine and
abroad.</p>
    </sec>
    <sec id="sec-6">
      <title>Author contributions</title>
      <p>Conceptualization, Dmytro Bodnenko and Oksana Hlushak; methodology, Maryna Hrysenko and
Oleksandra Lokaziuk; writing – original draft preparation, Dmytro Bodnenko and Oksana Hlushak
and Oleksandra Lokaziuk; writing – review and editing, Dmytro Bodnenko and Oksana Hlushak and
Maryna Hrysenko and Oleksandra Lokaziuk. All authors have read and agreed to the published version
of the manuscript.</p>
    </sec>
    <sec id="sec-7">
      <title>Declaration on Generative AI</title>
      <sec id="sec-7-1">
        <title>The authors have not employed any Generative AI tools.</title>
      </sec>
    </sec>
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