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This article presents some results of the doctoral thesis on the semiotic problems in the representations of infinite sets in teaching practice, which arises from the teaching and learning processes of infinite sets of numbers, where difficulties are evident in students regarding its cognitive construction. This research is especially focus on the characterization of the teachers' “semiotic awareness” manifestations of the representations of the infinite sets, based on their reflection on the productions and comments of their students.

LA CONCIENCIA SEMIÓTICA DE LOS DOCENTES DE MATEMÁTICA EN LA CONSTRUCCIÓN COGNITIVA DE LOS CONJUNTOS INFINITOS