The article considers the problem of graduate quality assessment from the perspective of various participants of the educational sphere. The research features the current state of education. It focuses on the national specifics that affect a particular model of education during its implementation. Modern education is characterized by interaction of several local educational environments and the adoption of innovative features of one national education system by other countries. The authors compared various national education systems and pointed out the following common traits: transformability, modelability, openness, and adaptability. As for the education of the early XXI century, it appeared to include the following characteristics. First, educational institutions satisfy people's needs for educational services. Second, the informative capacity of classes is increasing. Third, educational institutions are involved in the ranking process. The study features the opinions of employers, students, and professors regarding the quality of training of social specialists in the spheres of education, healthcare, and social protection. The paper describes advantages and disadvantages of various national education models. The authors stress the need for the development and implementation of a Russian national education model and formulate its key guidelines. They assessed the efficiency of the current education model via opinions of employers, students, and professors on the formation of professional competencies in students of Bachelor and Master Programmes. The opinions of the three groups of respondents underwent a comparative analysis. According to the employers, the level of professional training was higher in Masters than in Bachelors. The professors demonstrated a more critical attitude to the level of Bachelors and evaluated it as average. The students appeared more positive in their assessment of Bachelors, but they also evaluated Masters as more skilled than Bachelors. The obtained data can be used to develop technologies that could facilitate the educational process and improve the graduate quality in higher education institutions.