The article reveals the problem of education quality improvement, which acquires an important social significance nowadays. The priorities of education quality in Russia are formulated by the President Vladimir Putin who emphasizes that education quality is a system-forming and dominant factor in the social development of the individual, society and state.Analyzing philosophical, social and pedagogical approaches to the notion “quality of education'', it is revealed that this phenomenon determines the conditions and effectiveness of educational process in society. Education, corresponding to the needs of society is considered in the context of a comparative study of PISA general education quality, emphasizing that the results of PISA correlate with the economic and social development of the country. We suggest practical ways to improve the significance of Russian general education system quality in the definition of 15-year-olds mathematical literacy based on the identification of math students’ problems. The levels of mathematical literacy achievements and their special characteristics are given in the table of the indicators.As a practical significance of the research results presented in this paper, is the Program "Formation of practical mathematical literacy of schoolchildren", used in the process of math teachers training and aimed at improving their professional competence to form schoolchildren mathematical literacy.The article represents the training manual ''Life as a mathematical plot'' to master the formation of students mathematical competence in grades 7-8. It is directed to making the transition from abstract mathematical tasks to solving practical social problems.

PISA, quality of education, mathematical literacy, math teacher, mathematical competence, mathematical problem