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| 1 | The mathematical phenomenon includes the mathematical concept, the system of axioms, theorem, method, algorithm, etc. The purpose of this research is determination of all the options of perception to the mathematical phenomenon relevant for the education system and identifying some of the learning features for each of these options. A set of three postulates is chosen (the postulate on the priority result of educational and mathematical activity, the postulate of the didactic relevance of the components of activity, the postulate of the priority component of educational and mathematical activity). It is shown that if these postulates are implemented from the didactic point of view, then only two variants of the relation to mathematical phenomena are applicable: 1) the mathematical phenomenon as the subject of activity (in particular, as information to be memorized); 2) mathematical phenomenon as a tool of activity. The study of the mathematical phenomenon always begins in a situation when this phenomenon acts as an object of activity. However, to form a view of this phenomenon, the teacher must create conditions, the learning environment in which the learner naturally desires to consider this phenomenon as an instrument of activity. The examples of reflection of these variants of relationship in theory and practice of teaching mathematics are given. It is pointed out that for the students to take a mathematical phenomenon as a versatile phenomenon associated with other mathematical and non-mathematical phenomena, it is necessary that both variants of the relation to the mathematical phenomenon should be represented in the educational process. Keywords: methods of teaching mathematics, learning theory | 1515 | ||||