MAKTAB O‘QUVCHILARINING HOSILA VA INTEGRAL HAQIDAGI BILIMLARINI SHAKLLANTIRISH VA RIVOJLANTIRISHGA AMALIY MAZMUNDAGI MASALALARNING AHAMIYATI HAQIDA

Аннотация

Ushbu maqolada hosila va integral tushunchalarini o‘rta maktab o‘quvchilari ongida samarali shakllantirish va chuqurlashtirishda amaliy mazmundagi masalalarning o‘rni va ahamiyati yoritiladi. Tadqiqotda matematik tahlilning ushbu asosiy bo‘limlarini o‘rganishda abstrakt nazariyani amaliyot bilan bog‘lash orqali o‘quvchilarning mavzuga bo‘lgan qiziqishini oshirish, ularning tanqidiy fikrlashi va real hayotiy muammolarni matematik modellashtirish ko‘nikmalarini rivojlantirish imkoniyatlari ko‘rib chiqiladi. Shuningdek, maqolada ta’lim jarayonida amaliy masalalarni qo‘llashning samaradorligi tajribalar asosida asoslab beriladi. Kalit so‘zlar: Xosila, integral, amaliy masalalar, o‘quvchilarning bilim va ko‘nikmalari, matematik modellashtirish, tanqidiy fikrlash. Annotation: This article explores the significance and impact of practical, real- world problems in developing and enhancing high school students’ understanding of the concepts of derivatives and integrals. The study emphasizes the importance of connecting abstract mathematical theory with practice to increase students’ engagement, foster critical thinking, and improve their ability to model real-life problems mathematically. It also highlights the effectiveness of incorporating applied tasks into the educational process, supported by classroom-based observations and experiments. Keywords: Derivative, integral, practical problems, students’ knowledge and skills, mathematical modeling, critical thinking.