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| 1 | The necessity of cognitive competence formation is substantiated and its characteristics are sorted out. The suitability of the choice of elementary mathematics for organizing students’ academic activity aiming at forming cognitive competence and selection of heuristic mathematical problems as the means of formation is presented. The mechanism of transforming mathematical information contained in the texts of these problems is suggested. This is formalization of statements with the help of the language of logic of utterance, logic of predicates and isomorphism of interpretations. The possibility of integration between the course of elementary mathematics and the course of mathematical logic is shown. Keywords: cognitive competence, heuristic problem, self-education activity, mathematical logic | 1020 | ||||