The relevance of the research problem stems from the specificity of the system of fundamental education in the 21st century, which implies a capacity of educational establishments not only to provide knowledge to the student, but also, due to the continuous and rapid emergence of new knowledge, to shape a need in ongoing independent absorption of knowledge throughout the entire life. An important role in this process is played by the consideration of opinions not only of young generation which is the main target of educational institutions, but also of people of all other ages who become active subjects of the educational process. The paper objective is to reveal pressing challenges associated with reformation of the Russian system of education through the intergenerational discourse. The main method used for research was the representative mass survey of population of the Republic of Tatarstan. The research results helped to identify the intergenerational peculiarities of assessment of such aspects of the education system, as a possibility to obtain appropriate education and knowledge; a possibility to fulfill oneself in the profession and study; impact of education on personal social promotion; implementation of bilingualism policy in the educational system of the republic. The intergenerational dynamics of educational level across the respondents as compared to their parents is also presented in this paper.