Relevance. In the era of global digitalisation, more and more spheres of public life are switching to the use of innovative technologies, which also applies to the educational process. Especially important is the process of using digital technologies for exact sciences and those requiring modelling and graphical operations, geometry being one of them. This explains the relevance of the issue of student-teacher interaction during the use of digital programmes for studying geometry in higher educational institutions of the Republic of Kazakhstan. Purpose. The purpose of the study is to analyse the impact of innovative technologies on the processes of teaching and assimilation of educational material on geometry by students and to determine the role of digital programmes in the process of establishing communication between a student and a teacher. Methodology. It is necessary to systematically apply various means for scientific research, in particular, dialectical and activity-based methodological approaches, methods of logical analysis, synthesis, comparative analysis, content analysis, modelling, and analysis of scientific literature. Results. The main findings of the paper are the theoretical and practical background to the issue. That is, the theoretical component of the study includes the concept of digital technologies, their features, and types. The practical part includes an analysis of the effectiveness of using digital technologies in the context of studying geometry and determining the level of prevalence of relevant programmes abroad. As for the prospects for the following studies, it would be necessary to conduct a comparative analysis of the use of innovative technologies in higher educational institutions before and after the COVID-19 pandemic. Conclusions. The practical value of the study is quite high since it determines the possibility of using the findings in further developments, in particular, in the construction of geometry curricula in universities, or use as a means for the development and improvement of current curricula. Keywords: digital educational resources; geometry; innovative technologies; students; higher educational institutions