Today I want to share with you an excerpt from Weil on attention and effort in education:

If we concentrate our attention on trying to solve a problem of geometry, and if at the end of an hour we are no nearer to doing so than at the beginning, we have nevertheless been making progress each minute of that hour in another more mysterious dimension. Without our knowing or feeling it, this apparently barren effort has brought more light into the soul. The result will one day be discovered in prayer. Moreover, it may very likely be felt in some department of the intelligence in no way connected with mathematics. Perhaps he who made the unsuccessful effort will one day be able to grasp the beauty of a line of Racine more vividly on account of it. But it is certain that this effort will bear its fruit in prayer. There is no doubt whatever about that.

Weil, S., Waiting for God (pp. 57-66).