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To instruct future mathematicians is needed to confront them to tasks in which they must perform as if they were really mathematicians. In the task described below the students must understand a new definition: the happy number concept definition; they must extract information to generate examples that fit the definition, they must identify non examples and find generic organizers to construct example spaces and finally to solve a situation concerning these numbers. The solutions obtained in small groups were socialized with the teacher help. Both interactions were first taped and then analyzed using RBC-C model (Schwarz, Dreyfus & Hershkowitz, 2009) to document how the process takes place. The results show that, although some conscious mistakes, the students confront the task enthusiastically and they go on further the initial purpose

Definir, buscar ejemplos, conjeturar... para probar si un número es feliz