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| 1 | Elementary number theory as a school mathematics section is an essential part of professional preparation of a mathematics teacher. It’s explained by the fact that elementary number theory is a part of general secondary education programme both at basic and profile levels; problems in elementary number theory have considerable educational and teaching potential, and for their solution various methods of school mathematics are used. The paper is devoted to the role of elementary number theory as a component of professional preparation of a modern mathematics teacher in the context of competence approach. The author proves the necessity of including in the content of a mathematics teacher’s professional subject competence readiness to solve theory number problems using elementary mathematics methods (school mathematics methods). Clarifies the requirements for the ability to solve problems in elementary number theory. Keywords: professional subject competence of mathematics teacher; elementary number theory; methods of mathematical problems solving | 851 | ||||