Research in the history and philosophy of physics hasshown that the formalism of General Relativity can be interpreted in several different ways and,consequently, its teaching is very problematic. The present contribution is an example of a reconstruction of thedebate concerning the foundations of General Relativity on the basis of cultural and educational criteria.In particular, the debate will be presented as guided by the concept of space, and by the different perspectives from whichsuch a concept can be viewed. It will be pointed out that the various ways of looking at space give powerfulcriteria not only to create an order among the interpretations, but also to exploit the educational and culturalvalue of the debate.
