Osh, Kyrgyzstan
Osh, Kyrgyzstan
Osh, Kyrgyzstan
Osh, Kyrgyzstan
Osh, Kyrgyzstan
Osh, Kyrgyzstan
UDK 50 Общие вопросы математических и естественных наук
The article studies the concept of an olympiad problem in mathematics, its objective and subjective characteristics. Separate basic methods for solving Olympiad problems in mathematics are analyzed, such as: induction, Dirichlet and extreme principles, invariants and semi-invariants, coloring, proof by contradiction, methods for solving problems with a parameter. It is concluded that timely consultation with teachers when teaching how to solve an Olympiad problem is to lead them to the use of students’ associative experience. In the methods of solving Olympiad problems, typical ideas that form the essence of the problems are highlighted; the degree of difficulty is subjective.
Olympiad, problem, characteristics, solution methods, mathematics
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