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<article article-type="research-article" dtd-version="1.2" xml:lang="ru" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><front><journal-meta><journal-id journal-id-type="issn">2518-1092</journal-id><journal-title-group><journal-title>Research result. Information technologies</journal-title></journal-title-group><issn pub-type="epub">2518-1092</issn></journal-meta><article-meta><article-id pub-id-type="doi">10.18413/2518-1092-2025-10-3-0-8</article-id><article-id pub-id-type="publisher-id">3907</article-id><article-categories><subj-group subj-group-type="heading"><subject>COMPUTER SIMULATION</subject></subj-group></article-categories><title-group><article-title>&lt;strong&gt;MATHEMATICAL MODEL OF LEARNING MATERIAL ASSIMILATION&lt;/strong&gt;</article-title><trans-title-group xml:lang="en"><trans-title>&lt;strong&gt;MATHEMATICAL MODEL OF LEARNING MATERIAL ASSIMILATION&lt;/strong&gt;</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Ganicheva</surname><given-names>Antonina Valerianovna</given-names></name><name xml:lang="en"><surname>Ganicheva</surname><given-names>Antonina Valerianovna</given-names></name></name-alternatives><email>tgan55@yandex.ru</email></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Ganichev</surname><given-names>Alexey Valerianovich</given-names></name><name xml:lang="en"><surname>Ganichev</surname><given-names>Alexey Valerianovich</given-names></name></name-alternatives><email>alexej.ganichev@yandex.ru</email></contrib></contrib-group><pub-date pub-type="epub"><year>2025</year></pub-date><volume>10</volume><issue>3</issue><fpage>0</fpage><lpage>0</lpage><self-uri content-type="pdf" xlink:href="/media/information/2025/3/ИТ_НР_10_3_8.pdf" /><abstract xml:lang="ru"><p>The problem of formation of knowledge and professional skills of future specialists is the most important in the educational process. This problem becomes particularly relevant with the introduction of digital technologies into the educational process. The object of the research is the educational system of obtaining, assimilating and evaluating students&amp;#39; knowledge. The purpose of this article is to develop a new mathematical model of learners&amp;#39; learning of educational material. To achieve this goal, the processes of assimilation of lecture educational material are mathematically described (formalized in the form of a model), taking into account the coefficients of memorization and assimilation. The models developed in the article allow us to explore the learning process and develop recommendations for its improvement.</p></abstract><trans-abstract xml:lang="en"><p>The problem of formation of knowledge and professional skills of future specialists is the most important in the educational process. This problem becomes particularly relevant with the introduction of digital technologies into the educational process. The object of the research is the educational system of obtaining, assimilating and evaluating students&amp;#39; knowledge. The purpose of this article is to develop a new mathematical model of learners&amp;#39; learning of educational material. To achieve this goal, the processes of assimilation of lecture educational material are mathematically described (formalized in the form of a model), taking into account the coefficients of memorization and assimilation. The models developed in the article allow us to explore the learning process and develop recommendations for its improvement.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>modeling</kwd><kwd>knowledge</kwd><kwd>lecture</kwd><kwd>students</kwd><kwd>coefficient</kwd><kwd>process of assimilation of material</kwd><kwd>memorization</kwd></kwd-group><kwd-group xml:lang="en"><kwd>modeling</kwd><kwd>knowledge</kwd><kwd>lecture</kwd><kwd>students</kwd><kwd>coefficient</kwd><kwd>process of assimilation of material</kwd><kwd>memorization</kwd></kwd-group></article-meta></front><back><ref-list><title>Список литературы</title><ref id="B1"><mixed-citation>Ganicheva A.V. Modeling of educational process indicators // In the World of Scientific Discoveries. &amp;ndash; 2011. No. 10-2 (22). &amp;ndash; P. 1016.</mixed-citation></ref><ref id="B2"><mixed-citation>Ganicheva A.V. Optimal solution and assessment of the usefulness of organizational issues // Yaroslavl Pedagogical Bulletin. &amp;ndash; 2011. &amp;ndash; Vol. 3. &amp;ndash; No. 2. &amp;ndash; P. 53.</mixed-citation></ref><ref id="B3"><mixed-citation>Ganicheva A.V. Assessment of the effectiveness of the learning process // Intelligence. Innovation. Investments. &amp;ndash; 2011. &amp;ndash; No. 2. &amp;ndash; P. 134‑137.</mixed-citation></ref><ref id="B4"><mixed-citation>Gefan G.D. Approaches to mathematical modeling of the educational process // Trends in the development of science and education. &amp;ndash; 2024. &amp;ndash; No. 111-1. &amp;ndash; P. 60‑63.</mixed-citation></ref><ref id="B5"><mixed-citation>Kiseleva O.M., Bykov A.A., Skuratova N.A. Mathematical Model as a Basis for Developing an Educational Information System // Natural and technical sciences. &amp;ndash; 2023. &amp;ndash; No. 10 (185). &amp;ndash; P. 12‑16.</mixed-citation></ref><ref id="B6"><mixed-citation>Majer R.V. Patterns of Assimilation, Forgetting, and Simulation Modeling of Learning // Innovations in Education. &amp;ndash; 2017. &amp;nbsp;No. 5. &amp;ndash; P. 145‑152.</mixed-citation></ref><ref id="B7"><mixed-citation>Majer R.V. Methodology of Computer Modeling of Teacher-Student Didactic Systems // Bulletin of Pedagogical Experience. &amp;ndash; 2024. &amp;ndash; No. 4 (62). &amp;ndash; P. 14‑21.</mixed-citation></ref><ref id="B8"><mixed-citation>Majer R.V. Model of the Didactic Process Taking into Account the Distribution of Elements of Educational Material by Complexity // Scientific Notes of V.I. Vernadsky Crimean Federal University. Sociology. Pedagogy. Psychology. &amp;ndash; 2021. &amp;ndash; Vol. 7 (73). &amp;ndash; No.&amp;nbsp;4 &amp;ndash; P.&amp;nbsp;94‑104.</mixed-citation></ref><ref id="B9"><mixed-citation>Nahman A.D. Competence of mathematical modeling in the context of the modern educational paradigm&amp;nbsp;// Scientific Review. Pedagogical Sciences. &amp;ndash; 2017. &amp;ndash; No. &amp;ndash; P. 71‑79.</mixed-citation></ref><ref id="B10"><mixed-citation>Pisarenko V.I. Pedagogical models: typology and features // Problems of modern education. &amp;ndash; 2024. &amp;ndash; No. 1 &amp;ndash; P. 58‑76.</mixed-citation></ref><ref id="B11"><mixed-citation>Sapronov V.A. Classification of models in pedagogy // Pedagogy and education. &amp;ndash; 2024. &amp;ndash; No.&amp;nbsp;1. &amp;ndash; P.&amp;nbsp;84‑100.</mixed-citation></ref><ref id="B12"><mixed-citation>Titov B.A., Ryabinova E.N. Mathematical model of assimilation of educational material // Problems and prospects of development of engine building: Proc. of the Int. Scientific and Technical Conf. Part 1. &amp;ndash; Samara: SGAU, 2011. &amp;ndash; P.&amp;nbsp;117‑118.</mixed-citation></ref><ref id="B13"><mixed-citation>Tishina E.M. Methodological foundations for using the principles of mathematical modeling in the educational process // Education and Science in the Modern World. Innovations. &amp;ndash; 2018. &amp;ndash; No.&amp;nbsp;5 (18). &amp;ndash; P. 28‑33.</mixed-citation></ref><ref id="B14"><mixed-citation>Chuyko L.V. Kapatsina N.P. Modeling educational information as a condition for optimal management of the learning process // Bulletin of the Pridnestrovian University. Series: Humanities. &amp;ndash; 2017. &amp;ndash; No.&amp;nbsp;1&amp;nbsp;(55). &amp;ndash; P.&amp;nbsp;92‑98.</mixed-citation></ref><ref id="B15"><mixed-citation>An Analytical Dashboard of Collaborative Activities for the Knowledge Building / C. Guti&amp;eacute;rrez‑Braojos [et al.] // Technology, Knowledge and Learning. &amp;ndash; 2023. &amp;ndash; P. 1‑27.</mixed-citation></ref><ref id="B16"><mixed-citation>Analysis of Learning Model and Mathematical Material to Build Students&amp;rsquo; Character through / S. Fadillah [et al.] // Mathematics Learning Journal Of Education, Teaching and Learning. &amp;ndash; 2019. &amp;ndash; 4 (2). &amp;ndash; P. 345‑349.</mixed-citation></ref><ref id="B17"><mixed-citation>Bakwai B., Yisa H.M. Mathematical modelling: a scientific tool in educational management // Al-hikma Journal of Education. &amp;ndash; 2014. ‑1 (2). &amp;ndash; P. 38‑46.</mixed-citation></ref><ref id="B18"><mixed-citation>Bulut N., Ferri R.B. Mathematical Modelling and Education for Sustainable Development in Pre-Service Primary Teacher Education // Educ. Sci. &amp;ndash; 2025. 15 (2), 248 p.</mixed-citation></ref><ref id="B19"><mixed-citation>Montejo-G&amp;aacute;mez J., Fern&amp;aacute;ndez-Ahumada E., Adamuz-Povedano N. A Tool for the Analysis and Characterization of School Mathematical Models / C. Guti&amp;eacute;rrez-Braojos [et al.] // Mathematics. &amp;ndash; 2021. &amp;ndash; 9 (13). &amp;ndash; P.&amp;nbsp;1569.</mixed-citation></ref><ref id="B20"><mixed-citation>Five different perspectives on mathematical modeling in mathematics education / A. Abassian A. [et al.] // Investigations in Mathematics Learning. &amp;ndash; 2020. &amp;ndash; 12 (1). &amp;ndash; P. 53‑65.</mixed-citation></ref><ref id="B21"><mixed-citation>Kaiser G. Mathematical Modelling and Applications in Education // Encyclopedia of Mathematics Education. Springer, Cham. &amp;ndash; 2020. P. 553&amp;ndash;561.</mixed-citation></ref><ref id="B22"><mixed-citation>Kumar M., Behera B. Mathematical Modelling: A Pedagogical Tool for Competency-Based Learning // Asian Journal for Mathematics Education. &amp;ndash; 1 (3). &amp;ndash; P. 359‑380.</mixed-citation></ref><ref id="B23"><mixed-citation>Stillman G.A., Brown J.P. Lines of Inquiry in Mathematical Modelling Research in Education: Monograph. Springer ICME-13, 2019. &amp;ndash; 259 p.</mixed-citation></ref><ref id="B24"><mixed-citation>Sun B. Mathematical Models of Learning Efficiency // EURASIA. Journal of Mathematics Science and Technology Educatio. &amp;ndash; 2017. &amp;ndash; 13 (7). P. 4261‑4270.</mixed-citation></ref></ref-list></back></article>