The article is devoted to the relevance, content and methodology of the formation of financial literacy in mathematics lessons in elementary school as a condition for the effective implementation of the updated federal state educational standard. Financial literacy is considered as one of the areas of functional literacy. Methodological innovations are presented for the effective formation of financial literacy in the context of the use of existing mathematics textbooks, taking into account the results and materials of the international study of the quality of education PISA.

The article deals with the problem of developing an ESP course for university students in the context of a student-centered approach. The main attention in the article is drawn to the fact that in the process of study-ing and teaching English for special purposes, the needs of the student, the analysis of typical professional communicative situations, the rules of successful communication come to the fore. A unique feature of ESP courses is their dual nature – they combine language teaching with content teaching.

The article deals with the problem of transfer of knowledge in the philosophy of the optimal level in the conditions of a modern technical university. Presumably, this problem is generated by a contradiction-a clash of opposites: the desired (due) and the actual.