HOSILA ORQALI MATEMATIK MODELLASHTIRISH KO‘NIKMALARINI RIVOJLANTIRISH.
Keywords:
Kalit so‘zlar: hosila, matematik modellashtirish, funksional tafakkur, o‘zgarish tezligi, akademik litsey, amaliy masalalar, fanlararo integratsiya, matematik savodxonlik.Abstract
Annotatsiya
Zamonaviy matematika ta’limida o‘quvchilarning faqat hisoblash
ko‘nikmalarini emas, balki real jarayonlarni matematik til orqali ifodalash, tahlil qilish
va xulosa chiqarish qobiliyatlarini rivojlantirish ustuvor vazifalardan biri hisoblanadi,
shu nuqtayi nazardan hosila tushunchasi matematik modellashtirishning eng muhim va
universal vositalaridan biri sifatida namoyon bo‘ladi. Mazkur maqolada akademik
litsey matematika kursida hosila mavzusini o‘qitish jarayonida matematik
modellashtirish ko‘nikmalarini shakllantirishning nazariy asoslari, didaktik
imkoniyatlari hamda amaliy metodik yondashuvlari tahlil qilinadi, shuningdek
hosilaning fizik, iqtisodiy va biologik mazmuni orqali o‘quvchilarda funksional
tafakkur va tahliliy fikrlashni rivojlantirish yo‘llari yoritiladi. Tadqiqot davomida
hosila yordamida real jarayonlarni modellashtirish o‘quvchilarning matematik
savodxonligini oshirishda samarali vosita ekanligi asoslab beriladi [1], [5].
References
1. Kolmogorov A.N. Matematika analiziga kirish. – T.: O‘qituvchi, 1985.
2. Tursunov S., Qodirov A. Matematik analiz asoslari. – T.: Fan, 2004.
3. Alimuhamedov R. Oliy matematika. – T.: O‘qituvchi, 2010.
4. Abdullayev R. Matematika o‘qitish metodikasi. – T.: TDPU, 2016.
5. Yo‘ldoshev J., Usmonov S. Pedagogik texnologiyalar asoslari. – T.: Fan va
texnologiya, 2012.
6. Nematillayevich L. I. et al. NORASMIY BANDLIKNING MEHNAT
BOZORIDAGI O ‘RNI VA IJTIMOIY XAVFLARI //Latin American journal of
education. – 2025. – Т. 5. – №. 6. – С. 124-132.
7. Nematillayevich L. I. et al. NORASMIY ISH O ‘RINLARINING
MAKROIQTISODIY KO ‘RSATKICHLARGA TAʼSIRI //IMRAS. – 2025. – Т.
8. – №. 11. – С. 75-81.
8. Nematillayevich L. I. et al. STATE PROGRAMS AND PROSPECTIVE
STRATEGY FOR PROMOTING EMPLOYMENT THROUGH THE
REDUCTION OF INFORMAL JOBS IN THE LABOR MARKET
//INTELLECTUAL EDUCATION TECHNOLOGICAL SOLUTIONS AND
INNOVATIVE DIGITAL TOOLS. – 2025. – Т. 4. – №. 38. – С. 373-377.
9. Nematillayevich L. I. et al. INTERNATIONAL LEGAL NORMS FOR
PROMOTING EMPLOYMENT THROUGH THE REDUCTION OF INFORMAL
JOBS IN THE LABOR MARKET //SCIENTIFIC APPROACH TO THE
MODERN EDUCATION SYSTEM. – 2025. – Т. 4. – №. 37. – С. 144-146.
10. Nematillayevich L. I. et al. MEHNAT BOZORIDA NORASMIY ISH O
‘RINLARINI KAMAYTIRISH HISOBIGA BANDLIKKA KO
‘MAKLASHISHNING XALQARO-HUQUQIY NORMALARI. – 2025.
11. Nematillayevich L. I. ISHLAB CHIQARISHNI GORIZONTAL
DIVERSIFIKATSIYA QILISHNING NAZARIY VA AMALIY
YONDASHUVLARI //MATERIALLARI TO ‘PLAMI. – 2025. – С. 73.
12. Nematillayevich L. I. et al. NORASMIY IQTISODIYOTDAN RASMIY
IQTISODIYOTGA O'TISH: QIYINCHILIKLAR VA IMKONIYATLAR. – 2025.
13. Nematillayevich L. I. et al. TRANSITION FROM THE INFORMAL ECONOMY
TO THE FORMAL ECONOMY: CHALLENGES AND OPPORTUNITIES. –
2025.
14. Ne’matillayevich L. I. et al. MEHNAT BOZORIDA NORASMIY ISH
O'RINLARINI KAMAYTIRISH HISOBIGA BANDLIKKA KO'MAKLASHISH
YO’LLARI //AMERICAN JOURNAL OF BUSINESS MANAGEMENT. – 2024.
– Т. 2. – №. 4. – С. 21-26.
15. Izzatulla L. CHARACTERISTICS OF HIGHER EDUCATION SERVICE
PROVIDING ORGANIZATIONS //ASIA PACIFIC JOURNAL OF
MARKETING & MANAGEMENT REVIEW ISSN: 2319-2836 Impact Factor:
8.071. – 2023. – Т. 12. – №. 01. – С. 21-28.
16. Levakov I. THE ROLE AND PLACE OF SERVICE SECTORS IN THE
DEVELOPMENT OF HIGHER EDUCATION //СОВРЕМЕННАЯ НАУКА:
АКТУАЛЬНЫЕ ВОПРОСЫ, ДОСТИЖЕНИЯ И ИННОВАЦИИ. – 2023. – С.
130-132.
17. Nematillaevich L. I. Main characteristics, theoretical issues of effective
management strategies in higher education //INTERNATIONAL JOURNAL OF
SOCIAL SCIENCE & INTERDISCIPLINARY RESEARCH ISSN: 2277-3630
Impact factor: 8.036. – 2022. – Т. 11. – С. 97-101.