Relearning from a new perspective

I had a conversation with someone today who said he's relearning logic from a categorical perspective. What struck me about this was not the specifics but the pattern:

Relearning _______ from a _______ perspective.

Not relearning something forgotten, but going back over something you already know well, but from a different starting point, a different approach, etc.

Have any experiences along these lines you'd like to share in the comments? Anything you have relearned, attempted to relearn, or would like to relearn from a new angle?