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The article examines the actual problem of integration and technicalization of mathematics teacher training in the context of higher education modernization in Ukraine. The problem of the thorough training of the future mathematics teacher for professional activity in the context of integration and technicalization of higher education is considered. The basic principles of improvement of the quality of teacher training are highlighted, as well as the specifics of the organization of the educational process in the conditions of the new educational space are defined. The importance of the role of integration and technicalization implementation is indicated for obtaining high mathematical knowledge, which is being improved over time and takes wider forms for the detailed study and application in practice. The essence and peculiarities of training of mathematics teachers in higher educational establishments of Ukraine, based on domestic and foreign experience of studying, are revealed. In order to improve education in Ukraine, it is necessary to use the interstate educational experience that has passed for more than a decade. Integration processes can solve the basic contradictions of education – the contradiction between the infinity of knowledge and limited human resources. The article highlights two important trends that play a significant role in the teaching of mathematics teachers. It is also stated that the teacher should harness the key competencies for the development and implementation of educational technologies in the context of integration and technology in the educational process.

HIGHER EDUCATION IN UKRAINE IN THE CONTEXT OF INTEGRATION AND TECHNICALIZATION OF MATHEMATICS TEACHER TRAINING