Retos, profesores y alumnos con talento matemático

In this paper we reflect on the nature of the mathematical challenges and their important role in the care of students with mathematically talented students, and we insist on the possible roles that teachers can play. We stress the need for the math teacher achieve a specialized knowledge on formulating appropriate mathematical challenges, in order to identify and to encourage mathematically talented students in the classroom. We exemplify these ideas with specific challenges, showing teacher strategies used to formulate mathematical challenges around a specific content and how to sequence them.