Yarkho T. Theoretical and methodological basics of the fundamentalization of mathematical preparation of the future specialists of a technical profile at higher educational establishments.

The state of the problem of modernization of the existing system of higher technical education has been analyzed in the thesis. The essence of the competence-based approach and its role in providing the quality of modern higher technical education have been exposed.The author’s definition of the fundamentalization of professional technical preparation of the future specialists at a higher educational establishment has been introduced.It has been grounded that the fundamentalization of professional technical preparation of the future specialists at a higher educational establishment can be viewed as the basis of the methodology of a competence-based approach in higher technical education and is an important factor of providing its quality. The author’s approach to the fundamentalization of mathematical preparation of the future specialists at a higher educational establishment in a general process of the fundamentalization of their professional technical preparation has been presented. The introduction of the definition of the fundamentalization of mathematical preparation of the future specialists of a technical profile at a higher educational establishment as an integrated process of generalizing mathematical knowledge, developing the abilities of their creative professional application, forming creative thinking as well as general intellectual and moral personality development has been grounded. Field – pedagogy.