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Rapid development of science, equipment and technologies in modern society demands the training of specialists, owning profound scientific knowledge in the field of economy, informatics and especially mathematics as mathematical ideas and methods are applied in many spheres of life of society. This article is devoted to questions of improvement of mathematical education on the basis of innovative approaches. In it the essence of a method of mathematical induction is opened, possibilities of its use for the solution of the tasks having both allmethodological and practical value are shined. The author emphasized need of development in students of mathematical thinking by forming of logical chains in reasoning in the process of search of solutions of complex algebraic challenges. In article examples of the stepbystep proof of theorems, the validity of formulas, etc. are given. The material difficult for assimilation is recommended to be studied by representation of a theoretical material and forms of its practical application, and also attracting

Innovative Approaches in Teaching of Mathematics on the Basis of Psychological Factors