Home – Home – Jornals – "Philosophy of Education" 2018 number 2

Introduction. The purpose of this article is the argument of need of new conceptual approaches use to mathematics justification. Methodology and methods of research. The article considers the problem-oriented approach to mathematics justification that used in philosophy and methodology of mathematical education. The important methodological characteristic of this research is the system integrity principle of different levels mathematical formation. It will well be coordinated with problem-oriented training in mathematics. Result of research. The author proves that the philosophical analysis of a problem situation is necessary in mathematics training. Such situation arises at a stage of a theoretical statements wording in the form of problem tasks. Such tasks use a philosophical reflection of the available mathematics knowledge at the decision. According to the author, experts of mathematics philosophy focus attention on philosophical questions of mathematics and seldom connect philosophical sense of training process with problem training. The author suggests to use gnoseological prerequisites of a formalism, intuitionism and a platonizm for mathematics understanding. They reveal system integrity of justification and prove its practical expediency. Conclusion. The author concludes that the philosophy of mathematical education is a reference point for training reorganization. The methodical position of synthesis of different approaches deserves special attention in the system of mathematics justification. It assumes increase in philosophical training of teachers of mathematics and formation of critical thinking of students of the University.