BO‘LAJAK MATEMATIKA O‘QITUVCHILARIDA MATEMATIK TAHLIL FANIGA OID KOMPETENTLIKLARNI RIVOJLANTIRISHDA MUAMMOLI TA’LIM TEXNOLOGIYALARIDAN FOYDALANISH

This article analyzes the methodological possibilities of using problem-based learning technologies in teaching mathematical analysis to future mathematics teachers studying at higher educational institutions. In particular, the importance of interactive approaches in forming connections between mathematical concepts, theorems, and their practical applications is highlighted. Furthermore, methodological recommendations aimed at developing students’ logical thinking, independent analysis, and problem-solving skills in non-standard situations are presented. The research results show that the use of problem-based learning elements increases the effectiveness of mastering mathematical analysis.