Guido Castelnuovo e il problema della formazione dei docenti di matematica

This work aims to enlighten Castelnuovo's role in forming mathematics teachers. This stands out by examining some of his "Quaderni" (Hand Notes) of Higher Geometry Courses. In his lectures Castelnuovo stressed the importance of two subjects pointed out by Felix Klein at the end of XIX century: "Elementary Mathematics from an advanced standpoint" and "Mathematics of precision vs Mathematics of approximation". His "Quaderni" show how he was led to new interests, mainly Probability and Actuarial Mathematics.