The article discusses effective use of educational technologies in teaching mathematical disciplines in higher educational institutions. The objectives are conducting theoretical investigation that affects effectiveness of teaching, and building model for development teachers' skills in use of electronic educational technologies in the educational process. An expert survey was conducted based on constructed hierarchical structure, results analyzed by hierarchy analysis method. Study was conducted on basis of Ilyas Zhansugurov Zhetysu University, 5 experts participated. Based on experts’ answers, model was built to improve skills teachers in use electronic educational technologies. The constructed model consists of: professional level, participation in trainings, practical skills in use of electronic educational technologies and willingness to share knowledge withcolleagues. Model is proposed to create educational ecosystem of teacher retraining, technologies improve quality and efficiency educational process, optimize assimilation of material, increase students’ engagement, forming "skills of the future" and increasing level of teachers’ digital literacy.