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Arxiv / №10 · 2026 / Maqola
13.00.00 – PEDAGOGIKA FANLARI

KRIPTOGRAFIYA FANINING “KRIPTOGRAFIYANING MATEMATIK ASOSLARI” BO‘LIMI UCHUN MULTIMEDIALI DASTURIY TA’MINOT ISHLAB CHIQISH VA UNDAN FOYDALANISHNI TASHKIL ETISH

Annotatsiya
O'ZBEKCHA

Maqolada kriptografiya fanining “Kriptografiyaning matematik asoslari” bo‘limi uchun multimediali dasturiy ta’minotni ishlab chiqish va undan o‘quv jarayonida foydalanishni tashkil etish masalalari yoritilgan. Dasturiy ta’minot ADDIE modeli asosida loyihalangan bo‘lib, nazariy, animatsion, virtual laboratoriya, nazorat va yordamchi modullardan iborat. Multimedia dizaynining kognitiv ta-moyillari, modul arifmetikasi, Evklid algoritmi va modul bo‘yicha darajaga ko‘tarish mavzularini visual-lashtirish yondashuvlari, dasturdan auditoriya, laboratoriya, mustaqil va masofaviy ta’limda foydalanish shakllari hamda samaradorlikni baholash tajribasining dizayni asoslab berilgan

Kalit so'zlar: kriptografiya, sonlar nazariyasi, modul arifmetikasi, Evklid algoritmi, Eyler funksi-yasi, multimediali dasturiy ta’minot, animatsiya, virtual laboratoriya, ADDIE.
РУССКИЙ

В статье рассмотрены вопросы разработки мультимедийного программного обеспечения для раздела «Математические основы криптографии» дисциплины «Криптография» и организации его использования в учебном процессе. Программное обеспечение спроектировано на основе модели ADDIE и включает теоретический, анимационный, лабораторный, контрольный и справочный модули. Обоснованы принципы мультимедийного дизайна, подходы к визуализации мо-дулярной арифметики, алгоритма Евклида и возведения в степень по модулю, формы использования программы и дизайн педагогического эксперимента.

Ключевые слова: криптография, теория чисел, модулярная арифметика, алгоритм Евклида, мультимедийное программное обеспечение, виртуальная лаборатория, ADDIE.
ENGLISH

The article addresses the development of multimedia software for the “Mathematical Foundations of Cryptography” section of the Cryptography course and the organization of its use in teaching. The software is designed according to the ADDIE model and consists of theory, animation, virtual laboratory, assessment and reference modules. Multimedia design principles, approaches to visualizing modular arithmetic, the Euclidean algorithm and modular exponentiation, forms of classroom and distance use, and the design of a pedagogical experiment are substantiated.

Keywords: cryptography, number theory, modular arithmetic, Euclidean algorithm, multimedia software, virtual laboratory, ADDIE.
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Foydalanilgan adabiyotlar

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