This article reveals the analysis of domestic and foreign experience in the development of an educational program for a teacher-researcher training. Within the framework of the competencebased approach it makes possible to formulate a number of positions regarding the status of an "educational program" and five principles for developing a modular educational program for undergraduate students, which also includes the formation of future teachers' research competencies. The experimental work was realized on the basis of scientific literature analysis, tests, questionnaires. Statistical data processing was accomplished by SPSS Statistics Program, moreover, the authors applied the Mann-Whitney U-test.

The authors investigate the leading problem of the formation of future primary school teachers’ special competences in the process of professional training. This study was conducted to identify the initial level of special competences the future primary school teachers of Karaganda Buketov University have. The results of the study have shown that the students demonstrate a generally low level of formation of special competences, which can significantly complicate the process of improving the quality of training a future primary school teacher of a new type for the pedagogical activity in the 21st century. The study has revealed that the first-year students with low academic performance and lack of knowledge, skills and abilities necessary for future pedagogical activity have a low level of formation of the components of future primary school teachers’ special competences, which confirms our hypothesis. The article argues that the low level of special competencies of students cannot contribute to the successful formation of the professional competence of graduates of higher educational institutions