OLIY MATEMATIKA FANINI ZAMONAVIY PEDAGOGIK TEXNOLOGIYALAR ASOSIDA O'QITISH

JOURNAL OF IQRO – ЖУРНАЛ ИҚРО – IQRO JURNALI – volume 18, issue 01, 2025 ISSN: 2181-4341, IMPACT FACTOR ( RESEARCH BIB ) – 7,245, SJIF – 5,431 www.wordlyknowledge.uz ILMIY METODIK JURNAL Ro‘ziyeva Zarnigor Otabek qizi Fergana State Technical University Assistant of the "Higher Mathematics" Department [email protected] Tel: +998(90)364-30-24 OLIY MATEMATIKA FANINI ZAMONAVIY PEDAGOGIK TEXNOLOGIYALAR ASOSIDA O‘QITISH ЭФФЕКТИВНЫЕ ТЕХНОЛОГИИ ПРЕПОДАВАНИЯ ВЫСШЕЙ МАТЕМАТИКИ В УСЛОВИЯХ ЦИФРОВОГО ОБРАЗОВАНИЯ EFFECTIVE TECHNOLOGIES FOR TEACHING HIGHER MATHEMATICS IN THE CONTEXT OF DIGITAL EDUCATION Annotatsiya: Mazkur maqolada O‘zbekiston oliy ta’lim tizimida matematika fanini o‘qitishda zamonaviy pedagogik texnologiyalardan foydalanishning ilmiy-metodik asoslari, ularning o‘quv jarayonidagi o‘rni va samaradorligi tahlil qilingan. Oliy matematika fanining murakkab mavzularini o‘zlashtirishda interfaol usullar, axborot-kommunikatsiya texnologiyalari (AKT), raqamli ta’lim platformalari, masofaviy o‘qitish tizimlari va loyiha asosidagi yondashuvlarning ahamiyati yoritilgan. Maqolada Prezident Sh.M. Mirziyoyevning ta’lim-tarbiya sohasidagi fikrlari asosida oliy ta’limni modernizatsiya qilish, o‘qituvchi malakasini oshirish hamda ta’lim sifatini kafolatlash yo‘llari ham tahlil etilgan. Аннотация: В данной статье проанализированы научно-методические основы использования современных педагогических технологий при преподавании математики в системе высшего образования Узбекистана, их роль и эффективность в учебном процессе. Освещено значение интерактивных методов, информационно-коммуникационных технологий (ИКТ), цифровых образовательных платформ, дистанционного обучения и проектного подхода при освоении сложных тем высшей математики. На основе идей Президента Ш.М. Мирзиёева о сфере образования рассмотрены вопросы модернизации высшего образования, повышения квалификации преподавателей и обеспечения качества образования. Annotation: This article analyzes the scientific and methodological foundations of using modern pedagogical technologies in teaching mathematics within the higher education system of Uzbekistan, as well as their role and effectiveness in the learning process. The importance of interactive methods, information and communication technologies (ICT), digital learning platforms, distance education systems, and project-based approaches in mastering complex topics of higher mathematics is highlighted. Based on the views of President Sh. M. Mirziyoyev on education, the article also examines the modernization of higher education, the improvement of teacher qualifications, and the assurance of education quality. Kalit so‘zlar: Oliy matematika, pedagogik texnologiyalar, innovatsion ta’lim, interfaol metodlar, axborot texnologiyalari, raqamli ta’lim, masofaviy o‘qitish, malaka oshirish, o‘qitish metodikasi. JOURNAL OF IQRO – ЖУРНАЛ ИҚРО – IQRO JURNALI – volume 18, issue 01, 2025 ISSN: 2181-4341, IMPACT FACTOR ( RESEARCH BIB ) – 7,245, SJIF – 5,431 www.wordlyknowledge.uz ILMIY METODIK JURNAL Ключевые слова: высшая математика, педагогические технологии, инновационное обучение, интерактивные методы, информационные технологии, цифровое образование, дистанционное обучение, повышение квалификации, методика преподавания. Keywords: higher mathematics, pedagogical technologies, innovative education, interactive methods, information technologies, digital learning, distance education, professional development, teaching methodology. Today, modernizing the education sector in line with contemporary requirements is one of the priority areas of ongoing reforms in our country. As President Shavkat Mirziyoyev has emphasized: “If we do not equip our youth with modern knowledge, professional skills, and innovative thinking, we will not be able to look to the future with confidence.”[1] This statement underlines the necessity of widely introducing advanced pedagogical technologies, particularly in the teaching of higher mathematics. Mathematics is not only a theoretical subject but also a fundamental discipline that develops students’ logical, analytical, and algorithmic thinking. Traditional teaching methods consider the student merely as a listener. However, in modern education, the principle that “the student is an active participant in the learning process” has become a key concept. Therefore, organizing higher mathematics lessons through interactive, information-rich, and practice-oriented approaches significantly increases educational effectiveness[3]. 1. The Essence of Modern Pedagogical Technologies: Modern pedagogical technologies are innovative methods for designing, organizing, and monitoring the learning process. Through these, the teacher acts as a facilitator, while the student becomes an active constructor of knowledge. Currently, the main technologies applied in the higher education system include: Interactive methods: “Brainstorming,” “Cluster,” “Boomerang,” “Fishbone,” “Insert,” and others. Information technologies: Software such as GeoGebra, Desmos, MATLAB, WolframAlpha, PowerPoint, Plickers, and Quizizz. Distance learning systems: Moodle, Google Classroom, Coursera, and EduPage. Problem-based and project-based learning: Encouraging students to solve real-life problems. Flipped classroom model: Students study the material independently and JOURNAL OF IQRO – ЖУРНАЛ ИҚРО – IQRO JURNALI – volume 18, issue 01, 2025 ISSN: 2181-4341, IMPACT FACTOR ( RESEARCH BIB ) – 7,245, SJIF – 5,431 www.wordlyknowledge.uz ILMIY METODIK JURNAL use class time for practical problem-solving with the instructor[4]. 2. Application of Innovative Technologies in Teaching Higher Mathematics: Due to the complexity of many higher mathematics topics, relying solely on textbooks and blackboards reduces learning effectiveness. Therefore, the following technologies play an important role: 1) Visualization: Using GeoGebra to demonstrate derivatives, integrals, vectors, matrices, and spatial graphics in a dynamic way increases students’ interest and comprehension. 2) Virtual laboratories: Employing simulations to test mathematical models experimentally. 3) Online testing and rating systems: Using Google Forms, Kahoot, and Quizizz to evaluate students’ knowledge efficiently. 4) AI-based learning tools: Applications like ChatGPT, Mathway, and Symbolab help students learn independently and improve problem-solving skills. 3. Current Challenges in the Field: At present, several issues can be observed in teaching mathematics at the higher education level: 1) Insufficient digital literacy among teachers – many educators find it difficult to integrate modern technologies into their teaching process. 2) Technical infrastructure limitations – not all higher education institutions are fully equipped with modern computers, interactive boards, and high-speed internet. JOURNAL OF IQRO – ЖУРНАЛ ИҚРО – IQRO JURNALI – volume 18, issue 01, 2025 ISSN: 2181-4341, IMPACT FACTOR ( RESEARCH BIB ) – 7,245, SJIF – 5,431 www.wordlyknowledge.uz ILMIY METODIK JURNAL 3) Slow curriculum renewal – existing syllabi do not fully correspond to the needs of modern times. 4) Low student motivation – many students perceive mathematics as a purely theoretical and abstract subject. 5) Lack of practical orientation – insufficient real-world and applied problem-solving exercises[5]. 4. Solutions to the Identified Problems: Enhancing teacher qualifications: Organizing specialized seminars and training sessions on digital pedagogy and innovative teaching methods. Improving technical resources: Equipping classrooms with multimedia tools and high-speed internet. Making lessons more practice-oriented: Incorporating real-world mathematical modeling and applied problem-solving. Increasing student motivation: Introducing creativitybased evaluation systems, competitions, and olympiads. Adopting an integrative approach: Linking mathematics with disciplines such as physics, economics, and information technology. President Sh.M. Mirziyoyev has noted: “Improving the quality of education and familiarizing young people with modern scientific achievements is our most important task.”[2] These words once again confirm the need to implement innovative pedagogical approaches in the higher education system. Applying modern pedagogical technologies in teaching higher mathematics is one of the most effective ways to enhance education quality, develop students’ analytical thinking, and prepare creative and independent professionals capable of making informed decisions. A mathematics teacher today should not only be a source of knowledge but also a motivator, guide, and innovator. By fully integrating innovative technologies into the educational process, we can nurture competitive, creative specialists with digital and analytical thinking[6]. Therefore, forming the chain “digital learning – quality education – innovative society” remains one of the most crucial tasks in Uzbekistan’s education system. References: 1. Sh.M. Mirziyoyev. “Yangi O‘zbekiston strategiyasi”. — Toshkent: O‘zbekiston, 2021. 2. O‘zbekiston Respublikasi Prezidentining PQ–3775-son qarori “Oliy ta’lim tizimini yanada rivojlantirish to‘g‘risida”. — Toshkent, 2018. 3. Yo‘ldoshev J.G., Xoliqberdiyev M. Pedagogik texnologiyalar va pedagogik mahorat. — Toshkent: “Fan va texnologiya”, 2020. 4. Abduqodirov A.A., Ismoilov S.A. Zamonaviy o‘qitish texnologiyalari. — Toshkent: TDPU nashriyoti, 2019. JOURNAL OF IQRO – ЖУРНАЛ ИҚРО – IQRO JURNALI – volume 18, issue 01, 2025 ISSN: 2181-4341, IMPACT FACTOR ( RESEARCH BIB ) – 7,245, SJIF – 5,431 www.wordlyknowledge.uz ILMIY METODIK JURNAL 5. Omonov Q., Abduqodirov A. Innovatsion pedagogika asoslari. — Toshkent: Innovatsiya, 2022. 6. Hasanboyeva O., Jo‘rayev R. Matematika o‘qitish metodikasi. — Toshkent: O‘qituvchi, 2020.