The article is devoted to the modeling cognitive learning spaces in Russian universities for the effective training of students and their preparation for life and future profession. Based on a comparative analysis of theoretical and practical approaches to the problem by Russian and foreign scientists, a conclusion is made about the importance and relevance of the topic for academic community and society as a whole. In modern conditions, the processes of globalization, integration, informatization and digitalization induce universities to change the vector of their activities in the direction of technology and innovation, advanced forms of communication and mental interaction, technological methods of teaching and knowledge transfer, and, as a result, cause them to review their learning spaces as well. From a pedagogical perspective, the design of cognitive learning spaces may equally influence the entire educational landscape of the country as well as the learning climate of a particular institution, learning outcomes of a particular student and the system of professional development of a particular teacher and/ or researcher in multiple ways. The purpose of this work is to study and analyze the current state of the problem, systematize and concretize the conceptual apparatus, identify current positive trends in higher education allowing to model and design the effective tech-based, information-rich and equitable cognitive learning space at university, which will provide a beneficial learning environment with regard to mental needs and expectations of modern students.