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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">research-focus</journal-id>
      <journal-title-group>
        <journal-title>Research Focus International Scientific Journal</journal-title>
        <abbrev-journal-title abbrev-type="publisher">Research Focus</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="epub" publication-format="electronic">2181-3833</issn>
      <publisher>
        <publisher-name>Ilm-fan va innovatsiyalar akademiyasi</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.66073/researchfocus.v4i6.1701</article-id>
      <article-id pub-id-type="other" assigning-authority="relibrary.uz">REL-A-013025</article-id>
      <article-categories>
        <subj-group subj-group-type="oak">
          <subject>13.00.00</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">INDIVIDUALIZATION OF MATHEMATICS EDUCATION BASED ON THE DIFFERENTIAL APPROACH: INTEGRATION OF MODERN METHODS</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>ИНДИВИДУАЛИЗАЦИЯ МАТЕМАТИЧЕСКОГО ОБРАЗОВАНИЯ НА ОСНОВЕ ДИФФЕРЕНЦИРОВАННОГО ПОДХОДА: ИНТЕГРАЦИЯ СОВРЕМЕННЫХ МЕТОДОВ</trans-title>
        </trans-title-group>
        <trans-title-group xml:lang="uz">
          <trans-title>MATEMATIKA TA‘LIMINI DIFFERENTSIAL YONDASHUV ASOSIDA INDIVIDUALLASHTIRISH: ZAMONAVIY USULLARNI INTEGRATSIYALASH</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group content-type="author">
        <contrib contrib-type="author">
          <string-name>Nilufarkhon Rakhmonova Vakhobjon qizi</string-name>
          <aff>Teacher at the Department of Digital Technologies and Mathematics, Kokand University</aff>
        </contrib>
      </contrib-group>
      <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-07-06">
        <day>06</day>
        <month>07</month>
        <year>2025</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2025</year>
      </pub-date>
      <volume>4</volume>
      <issue>6</issue>
      <fpage>207</fpage>
      <lpage>217</lpage>
      <permissions>
        <license xlink:href="https://creativecommons.org/licenses/by/4.0">
          <ali:license_ref>https://creativecommons.org/licenses/by/4.0</ali:license_ref>
          <license-p>This work is licensed under a Creative Commons Attribution 4.0 International License.</license-p>
        </license>
      </permissions>
      <self-uri xlink:href="https://relibrary.uz/REL-A-013025/"/>
      <abstract xml:lang="en">
        <p>This study explores how differentiated instruction can be effectively implemented in higher education settings by integrating modern pedagogical strategies, including gamification, storytelling, STEAM-based learning, reverse problem-solving, and programming-oriented tasks. The paper examines how these harmonized approaches enable educators to create adaptive learning environments tailored to each student‘s unique needs, enhancing engagement and conceptual understanding. Through а methodological synthesis of theoretical perspectives and practical applications, the research demonstrates that combining differentiated teaching with innovative tools fosters а dynamic learning process. Particular attention is given to how each method promotes deeper mathematical thinking, encourages self-paced exploration, and develops transferable problem-solving skills. The findings indicate that а well-designed blended model not only improves academic outcomes but also creates а more inclusive and motivational learning environment. Notably, an experimental lesson conducted with two groups (22 and 25 students) achieved average Quizizz scores of 90% and 85%, respectively, which were 10% more effective than previous lessons using Kahoot. These results confirm the adaptability of modern methods to diverse learner needs and their ability to enrich the learning process.</p>
      </abstract>
      <trans-abstract xml:lang="ru">
        <p>Данное исследование изучает, как дифференцированное обучение может быть эффективно реализовано в условиях высшего образования путем интеграции современных педагогических стратегий, включая геймификацию, сторителлинг, обучение на основе STEAM, решение задач в обратном порядке и задания, ориентированные на программирование. Статья рассматривает, как эти гармонизированные подходы позволяют педагогам создавать адаптивные образовательные среды, адаптированные к уникальным потребностям каждого студента, повышая вовлеченность и концептуальное понимание. Через методологический синтез теоретических перспектив и практических приложений исследование демонстрирует, что сочетание дифференцированного обучения с инновационными инструментами способствует формированию динамичного образовательного процесса. Особое внимание уделяется тому, как каждый метод способствует более глубокому математическому мышлению, поощряет самостоятельное исследование и развивает переносимые навыки решения проблем. Результаты показывают, что хорошо разработанная смешанная модель не только улучшает академические результаты, но и создает более инклюзивную и мотивирующую образовательную среду. В частности, экспериментальный урок, проведенный с двумя группами (22 и 25 студентов), показал средние результаты на Quizizz в 90% и 85% соответственно, что на 10% эффективнее предыдущих уроков с использованием Kahoot. Эти результаты подтверждают адаптивность современных методов к различным потребностям учащихся и их способность обогащать образовательный процесс</p>
      </trans-abstract>
      <trans-abstract xml:lang="uz">
        <p>Ushbu tadqiqot differentsial ta‘limning oliy ta‘lim muassasalarida zamonaviy pedagogik strategiyalarni, jumladan, gamifikatsiya, hikoya qilish, STEAM asosidagi ta‘lim, teskari muammoni hal qilish va dasturlashga yo‘naltirilgan vazifalarni integratsiyalash orqali qanday samarali amalga oshirilishi mumkinligini o‘rganadi. Maqola ushbu uyg‘unlashgan yondashuvlarning har bir talabaning o‘ziga xos ehtiyojlariga moslashtirilgan moslashuvchan ta‘lim muhitini yaratishga yordam berishi, qiziqish va kontseptual tushunchani oshirishini ko‘rib chiqadi. Nazariy nuqtai nazar va amaliy qo‘llanmalar metodologik sintezi orqali tadqiqot differentsial ta‘limni innovatsion vositalar bilan birlashtirish dinamik ta‘lim jarayonini shakllantirishini ko‘rsatadi. Har bir usulning chuqur matematik fikrlashni rag‘batlantirishi, o‘z-o‘zini boshqarishga asoslangan izlanishni rivojlantirishi va ko‘chma muammoni hal qilish ko‘nikmalarini shakllantirishiga alohida e‘tibor beriladi. Tadqiqot natijalari shuni ko‘rsatadiki, yaxshi ishlab chiqilgan aralash model nafaqat akademik natijalarni yaxshilaydi, balki yanada inklyuziv va motivatsion ta‘lim muhitini yaratadi. Xususan, ikki guruh (22 va 25 talaba) bilan o‘tkazilgan eksperimental darsda Quizizz orqali o‘rtacha 90% va 85% ballar qayd etildi, bu avvalgi Kahoot ishlatilgan darslarga qaraganda 10% samaraliroq bo‘ldi. Bu natijalar zamonaviy usullarning turli o‘quvchi ehtiyojlariga moslashuvchanligini va ta‘lim jarayonini boyitish qobiliyatini tasdiqlaydi</p>
      </trans-abstract>
      <kwd-group xml:lang="en">
        <kwd>Differentiated Instruction</kwd>
        <kwd>gamification storytelling</kwd>
        <kwd>STEAM integration</kwd>
        <kwd>reverse</kwd>
        <kwd>problem-solving</kwd>
        <kwd>programming-based learning</kwd>
      </kwd-group>
      <kwd-group xml:lang="ru">
        <kwd>Дифференцированное обучение</kwd>
        <kwd>геймификация сторителлинг</kwd>
        <kwd>интеграция STEAM</kwd>
        <kwd>обратное</kwd>
        <kwd>решение задач</kwd>
        <kwd>обучение на основе программирования</kwd>
      </kwd-group>
      <kwd-group xml:lang="uz">
        <kwd>Differensiallashgan ta‘lim</kwd>
        <kwd>gamifikatsiya storitelling</kwd>
        <kwd>STEAM integratsiyasi</kwd>
        <kwd>teskari</kwd>
        <kwd>masalalarni yechish</kwd>
        <kwd>dasturlashga asoslangan ta‘lim</kwd>
      </kwd-group>
    </article-meta>
  </front>
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