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The article forecasts the dynamics of quantitative indicators of the Ukrainian education system, provides a quantitative assessment of the attractiveness of higher education institutions of Ukraine, an assessment of secondary education in Ukraine by foreign institutions, an assessment of the level of mathematical and computer training of schoolchildren, as well as a quantitative assessment of the objectivity of external independent testing (EIT) of learning outcomes in Ukraine. The analysis of quantitative indicators of personality's ability to learn is carried out. The competence of the competence approach and the technology of its implementation are presented. The formation of curricula, independent work of students and their support are considered. The motivation of students and teaching staff to work together to form a competent specialist is studied. The scientific support for the training of competent specialists is revealed and the issue of graduate employment is considered.