The topics or concepts that we manage to explain to others settle much more deeply in our deep memory. Being protagonists is the engine of learning. Learning disciplinary content is a tool for learning to live with others. Working in a group means developing social skills, which are fundamental in life. Knowing how to communicate is an art that you learn throughout your life”. These are some of the essential aims set by the “Fibonacci day” project, managed and organized by the students of the second year of high school for the students of the “Terza media” (eighth year of secondary school). It has required a lot of collaboration, creativity, disciplinary and communicative competence: the result was surprising, because they had fun and were interested in various aspects of Fibonacci. During the research some ideas for metacognitive reflection accompanied the journey, because learning to learn also involves reflecting critically about us, about our activities, about the way we learn. Who would have thought that studying Fibonacci would be so fun, interesting and surprising? Sometimes certain sequences of numbers, in an air of mystery in which we live, fill the soul of amazement and open the mind to “beauty”. Only by living these moments can we inhabit “the enchantment of the question”. Arousing enchanting questions, perhaps, is the most important mission of a teacher. Even in mathematics.