We present a didactic experience in the context of enhance mathematics research in high school. The encounter of three different profiles (a skilled student, a mathematics school teacher and a researcher in mathematics) is the starting point of this activity. We explain the context in which this activity was developed and the main exploited actions by the tutors in order to create a stimulating context for the student. We present some evidences of the success of the experience as well as the results and conclusions of this experience. As a collateral finding, a new method of work between secondary school teacher and mathematic researcher has emerged.