KOMPLEKS SONLAR NAZARIYASI VA ULAR USTIDA AMALLARNI O'RGATISH METODIKASI
DOI:
https://doi.org/10.5281/zenodo.20487852Keywords:
Kompleks son, mavhum birlik, algebraik shakl, trigonometrik shakl, geometrik tasvir, kompleks tekislik, metodika, pedagogik texnologiya, argument, modul.Abstract
This article covers the theory of complex numbers, which is one of the essential components of the mathematics course, and the methodology of teaching them. The paper analyzes the challenges of introducing the concept of complex numbers, methods for developing abstract thinking in students and learners, and ways to simplify the explanation of operations based on the acquired theoretical knowledge. Furthermore, the pedagogical effectiveness of teaching the topic through real-life examples and geometric interpretations is substantiated.References
Alimov, Sh. A., Xolmuhamedov, O. R., Mirzaahmedov, M. A. (2019). Algebra va analiz asoslari: Algebra va analiz asoslari: 10-11-sinflar uchun darslik. Toshkent: "O‘qituvchi" nashriyoti.
Tojiyev, Sh., & Mirzayev, K. (2021). Oliy matematika kursi (I-jild): Oliy texnika o‘quv yurtlari uchun darslik. Toshkent: "Turon-Iqbol".
Latifov, S., & Shodiyev, U. (2018). Matematika o‘qitish metodikasi (Maxsus kurs). Buxoro: "Durdona" nashriyoti.
Ismoilov, Sh. (2023). Kompleks sonlar va ularning geometriyaga tatbiqlari. Toshkent: "O‘zbekiston" nashriyoti.
O‘zbekiston Respublikasi Maktabgacha va maktab ta’limi vazirligi tomonidan tasdiqlangan Matematika fani bo‘yicha Milliy o‘quv dasturi (2024-2026 yillar).
II. Xorijiy va xalqaro fundamental adabiyotlar:
Stewart, I., & Tall, D. (2018). Complex Analysis: (The Hitchhiker's Guide to the Plane). Cambridge University Press. (Kompleks analiz va geometrik talqin bo‘yicha dunyodagi eng nufuzli darsliklardan biri).
Needham, T. (2020). Visual Complex Analysis. Oxford University Press. (Mavzuni geometrik va vizual usullar yordamida o‘qitish metodikasi aks etgan asar).
Fikhtengolts, G. M. (2015). Kurs differensialnogo i integralnogo ischisleniya (Tom 1). Moskva: "Fizmatlit". (Kompleks sonlar nazariyasining matematik tahlildagi o‘rni bo‘yicha fundamental manba).
Kuznesov, L. A. (2019). Sbornik zadach po visshey matematike: Tipovie rascheti. Sankt-Peterburg: "Lan". (Kompleks sonlar ustida amallarga doir amaliy mashqlar va metodik tavsiyalar to‘plami).
Ziyonet Ta’lim Portali – www.ziyonet.uz (Kompleks sonlarni o‘qitishda innovatsion dars ishlanmalari bo‘limi).
Khan Academy O‘zbekcha – uz.khanacademy.org (Kompleks sonlar va qutb koordinatalari tizimi bo‘yicha interaktiv darslar va modullar).
GeoGebra Matematik Platformasi – www.geogebra.org (Kompleks sonlarni tekislikda dinamik vizualizatsiya qilish dasturlari).
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