Understanding something abstract or proving that something is true becomes a task a lot like building something. You think: ‘First I will lay this foundation, then I will build this framework using these familiar pieces, but leave the walls to fill in later, then I will test the beams…’ All these steps have mathematical analogues, and structuring things in a modular way allows you to spend several days thinking about something you do not understand without feeling lost or frustrated.
What is it like to have an understanding of very advanced mathematics? - Quora