The intellectual work of Enriques was deeply connected with his philosophical thought. While it is clear that Enriques’ proposals in the early decades of the 1900s for a new school and university did not meet with success, his cultural legacy is still fully present today. Based on the analysis of some articles on teaching and some of his books written for high school, the author focuses his attention on the consequences of the Enriques’ educational thought in order to highlight its modernity and importance both in everyday practice in schools and in the history of mathematics. In this essay the author examines in particular the influence of Enriques in the fields of geometry, logic, number theory and history of mathematics.
Keywords: Didactics of mathematics, foundations of mathematics, history of mathematics, philosophy of science, educational reform, cultural influence