<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE book PUBLIC "-//NLM//DTD BITS Book Interchange DTD v2.3 20210610//EN" "BITS-book2.3.dtd"> <book xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" book-type="conference-proceedings" dtd-version="2.3" xml:lang="ru"> <front> <book-meta>  <book-id book-id-type="isbn">978-5-908172-03-5</book-id>    <title-group>  <book-title xml:lang="ru">Цифровизация в системе образования: передовой опыт и практика внедрения</book-title>   <trans-title-group xml:lang="en"> <trans-title>Digitalization in the education system: best practices and implementation practices</trans-title> </trans-title-group>  </title-group>  <description xml:lang="ru"> <p>В сборнике представлены научные публикации, посвященные вопросам цифровизации в системе образования. В материалах сборника приведены результаты теоретических и прикладных изысканий представителей научного и образовательного сообщества в данной области. Предназначен для широкого круга читателей.</p> </description>   <contrib-group>  <contrib contrib-type="editor" id="editor1">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Синицын</surname> <given-names>Юрий Николаевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Sinitsyn</surname> <given-names>Iurii Nikolaevich</given-names> </name>  </name-alternatives>   <email xlink:type="simple">sinicyn_yuriy333@mail.ru</email> </contrib>  <contrib contrib-type="editor" id="editor2">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Хентонен</surname> <given-names>Анна Геннадьевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Khentonen</surname> <given-names>Anna Gennad&#039;evna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7196-3160</contrib-id> <email xlink:type="simple">hentonen@list.ru</email> </contrib>  <contrib contrib-type="editor" id="editor3">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Фиалко</surname> <given-names>Алла Ивановна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Fialko</surname> <given-names>Alla Ivanovna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1014-5898</contrib-id> <email xlink:type="simple">alla.fialko@mail.ru</email> </contrib>  <contrib contrib-type="editor" id="editor4">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Юрченко</surname> <given-names>Татьяна Валентиновна</given-names> </name>   </name-alternatives>    </contrib>  </contrib-group>   <contrib-group>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm1">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Гребенникова</surname> <given-names>Вероника Михайловна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Grebennikova</surname> <given-names>Veronika Mikhailovna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0705-7985</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm2">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Казиева</surname> <given-names>Гулзат Качканаковна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Kazieva</surname> <given-names>Gulzat Kachkanakovna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm3">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Сажина</surname> <given-names>Наталья Михайловна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Sazhina</surname> <given-names>Natalia Mikhailovna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3000-4462</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm4">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Ушаков</surname> <given-names>Алексей Антонидович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Ushakov</surname> <given-names>Aleksei Antonidovich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm5">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Синицын</surname> <given-names>Юрий Николаевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Sinitsyn</surname> <given-names>Iurii Nikolaevich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm6">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Ушаков</surname> <given-names>Алексей Антонидович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Ushakov</surname> <given-names>Aleksei Antonidovich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm7">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Баранова</surname> <given-names>Ольга Игоревна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Baranova</surname> <given-names>Olga Igorevna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm8">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Бачуринская</surname> <given-names>Дарья Анатольевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Bachurinskaia</surname> <given-names>Dar&#039;ia Anatol&#039;evna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm9">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Галушко</surname> <given-names>Ирина Геннадьевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Galushko</surname> <given-names>Irina Gennad&#039;evna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm10">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Голубь</surname> <given-names>Марина Сергеевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Golub</surname> <given-names>Marina Marina sergeevna golub</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm11">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Гребенников</surname> <given-names>Олег Владимирович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Grebennikov</surname> <given-names>Oleg Vladimirovich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm12">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Диривянкина</surname> <given-names>Ольга Владимировна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Diriviankina</surname> <given-names>Olga Vladimirovna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm13">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Звягинцева</surname> <given-names>Наталья Юрьевна</given-names> </name>   </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm14">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Кулишов</surname> <given-names>Владимир Валентинович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Kulishov</surname> <given-names>Vladimir Valentinovich</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0009-0000-6234-5088</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm15">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Курочкина</surname> <given-names>Валентина Евгеньевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Kurochkina</surname> <given-names>Valentina Evgenevna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm16">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Лакреева</surname> <given-names>Анна Владимировна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Lakreeva</surname> <given-names>Anna Vladimirovna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3327-8474</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm17">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Лобейко</surname> <given-names>Юрий Александрович</given-names> </name>   </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2262-3500</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm18">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Мальков</surname> <given-names>Александр Александрович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Malkov</surname> <given-names>Aleksandr Aleksandrovich</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4377-8026</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm19">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Парфенова</surname> <given-names>Ирина Анатольевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Parfenova</surname> <given-names>Irina Anatolevna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm20">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Ус</surname> <given-names>Оксана Александровна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Us</surname> <given-names>Oksana Aleksandrovna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5652-6269</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm21">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Фиалко</surname> <given-names>Алла Ивановна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Fialko</surname> <given-names>Alla Ivanovna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1014-5898</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm22">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Хачатрян</surname> <given-names>Лиана Ашотовна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Khachatrian</surname> <given-names>Liana Ashotovna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1416-1310</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm23">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Хентонен</surname> <given-names>Анна Геннадьевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Khentonen</surname> <given-names>Anna Gennad&#039;evna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7196-3160</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm24">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Шер</surname> <given-names>Марина Леонидовна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Sher</surname> <given-names>Marina Leonidovna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5458-6615</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm25">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Шумилова</surname> <given-names>Елена Аркадьевна</given-names> </name>   </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm26">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Юрченко</surname> <given-names>Татьяна Валентиновна</given-names> </name>   </name-alternatives>   </contrib>  </contrib-group>   <event>  <event-desc xml:lang="ru">Цифровизация в системе образования: передовой опыт и практика внедрения</event-desc>   <event-desc xml:lang="en">Digitalization in the education system: best practices and implementation practices</event-desc>   <conf-date> <day>24</day> <month>04</month> <year>2026</year> </conf-date>    <conf-loc xml:lang="ru">Краснодар</conf-loc>  </event>   <publisher> <publisher-name>ИД «Среда»</publisher-name> </publisher>    <pub-date date-type="collection" publication-format="electronic" iso-8601-date="1900"> <year>1900</year> </pub-date>    <permissions>  <copyright-statement xml:lang="en">© 2026 Arina I. Bondarenko</copyright-statement>   <copyright-statement xml:lang="ru">© 2026 Бондаренко А. Ю.</copyright-statement>   <copyright-year>2026</copyright-year>  <copyright-holder xml:lang="ru">Бондаренко А. Ю.</copyright-holder>   <copyright-holder xml:lang="en">Arina I. Bondarenko</copyright-holder>    <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/" xml:lang="en" xlink:type="simple"> <license-p>This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0)</license-p> </license>   <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/" xml:lang="ru" xlink:type="simple"> <license-p>Это произведение доступно по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p> </license>   </permissions>  </book-meta> <book-part book-part-type="conference-paper"> <book-part-meta>   <book-id custom-type="publisher-id" pub-id-type="custom">155785</book-id> <title-group>  <chapter-title xml:lang="ru">Применение интерактивных технологий в преподавании математики в условиях перехода от фронтальной визуализации к индивидуальной онлайн-поддержке</chapter-title>   <trans-title-group xml:lang="en"> <trans-title>The use of interactive technologies in teaching mathematics in the context of the transition from frontal visualization to individual online support</trans-title> </trans-title-group>  </title-group>  <contrib-group>   <contrib contrib-type="author" id="author1">   <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Бондаренко</surname> <given-names>Арина Юрьевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Bondarenko</surname> <given-names>Arina Iurevna</given-names> </name>   </name-alternatives>   <xref ref-type="aff" rid="aff1"/> </contrib>    <aff-alternatives id="aff1">   <aff xml:lang="ru">  <institution>АНОО ВО  «Кубанский институт профессионального образования»</institution>   <country>Россия</country> </aff>    <aff xml:lang="en">  <institution>ANPOO &quot;Kubanskii institut professional&#039;nogo obrazovaniia&quot;</institution>   <country>Russia</country> </aff>   </aff-alternatives>  </contrib-group>       <abstract xml:lang="ru"> <p>в статье обобщён практический опыт интеграции цифровых инструментов в обучение математике при очном, дистанционном и внеаудиторном форматах. На основе эмпирических данных рассмотрены возможности интерактивных досок, динамических сред (GeoGebra, Desmos), платформ видеоконференцсвязи и нейросетей (GigaChat, YandexGPT, DeepSeek). Доказано, что результативность ИКТ зависит не от технических характеристик, а от дидактической обоснованности их включения в учебный процесс. Обоснована необходимость формирования единой цифровой экосистемы преподавателя, обеспечивающей преемственность разных форм обучения. Сформулирован вывод о методической гибкости педагога как решающем факторе успешной цифровизации математического образования.</p> </abstract>      <trans-abstract xml:lang="en"> <p>The article summarizes the practical experience of integrating digital tools into mathematics education in face-to-face, remote, and extracurricular formats. Based on empirical data, the article examines the capabilities of interactive whiteboards, dynamic environments (GeoGebra, Desmos), video conferencing platforms, and neural networks (GigaChat, YandexGPT, DeepSeek). It is proven that the effectiveness of ICT depends not on technical characteristics, but on the didactic validity of their inclusion in the educational process. The article substantiates the need to create a unified digital ecosystem for teachers that ensures the continuity of different forms of education. The article concludes that a teacher&#039;s methodological flexibility is a crucial factor in the successful digitalization of mathematics education.</p> </trans-abstract>       <kwd-group xml:lang="ru">  <kwd>дистанционное обучение</kwd>  <kwd>интерактивное обучение</kwd>  <kwd>информационно-коммуникационные технологии</kwd>  <kwd>искусственный интеллект</kwd>  <kwd>цифровая образовательная среда</kwd>  <kwd>GeoGebra</kwd>  </kwd-group>    <kwd-group xml:lang="en">  <kwd>information and communication technologies</kwd>  <kwd>artificial intelligence</kwd>  <kwd>distance learning</kwd>  <kwd>digital educational environment</kwd>  <kwd>interactive learning</kwd>  <kwd>GeoGebra</kwd>  </kwd-group>      </book-part-meta> </book-part> </front>  <back> <ref-list> <title>References</title>  <ref id="ref1"> <label>1</label> <citation-alternatives>  <mixed-citation xml:lang="ru">Программа «Цифровая экономика РФ». – URL: http://static.government.ru/media/files/9gFM4FHj4PsB79I5v7yLVuPgu4bvR7M0.pdf (дата обращения: 12.04.2026).</mixed-citation>    </citation-alternatives> <element-citation publication-type="web">   <article-title>Программа «Цифровая экономика РФ»</article-title>         <ext-link ext-link-type="uri" xlink:href="http://static.government.ru/media/files/9gFM4FHj4PsB79I5v7yLVuPgu4bvR7M0.pdf">http://static.government.ru/media/files/9gFM4FHj4PsB79I5v7yLVuPgu4bvR7M0.pdf</ext-link>      </element-citation> </ref>  <ref id="ref2"> <label>2</label> <citation-alternatives>  <mixed-citation xml:lang="ru">Семинар для учителей математики «Нейросети для работы учителя математики. 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