Nichishina V. The Integral Approach of Learning Mathematical Science in the Process of Preparation for the Future Mathematicians.

The object of study – the process of professional training for the future mathematicians. Purpose of study - to develop, to substantiate theoretically and to test by the experiment the model of increasing the professional efficiency for the future mathematicians, taking into account the definite organizational and pedagogical conditions. Methods of study - theoretical, empirical, pedagogical experiments, the mark of experts, mathematical ( statistical ). - Scientific novelty and theoretic importance of research is in that: that for the first time organizational and pedagogical conditions of introduction the integral approach, which provide the increasing efficiency in the professional training for the future mathematicians are substantiated; the criteria and showings of forming the integral knowledge in the future mathematicians and the levels of their readiness for forming integral professional knowledge are defined for the first time; the model of increasing the efficiency of professional trainingfor the future mathematicians are theoretically substantiated; the process of professional training for the future mathematicians by the way of inculcation the development model are improved; following development gain the investigation of scientific and theoretic propositions of integral approach in the process of professional training for the future mathematicians, namely: the exact sense of definite for the accomplish scientific aspects of conception “integration”; the purpose and the contents of integral professional knowledge in the future mathematician are substantiated; the contents, the way and the form of integral approach in the professional training for the future mathematicians are substantiated. The Results of Thesis Research can be used in the process of readiness the future mathematicians in forming the integral professional knowledge and spontaneity for forming the integral professional knowledge for the future mathematicians.