> "Solving problems is the only way to understand mathematics. There's no way around it." I'll read the linked documents at some point, but taking it per se,

> "Solving problems is the only way to understand mathematics. There's no way around it." I'll read the linked documents at some point, but taking it per se, it should be noted that doing problems as a method of understanding may be necessary, but is not sufficient. I had a professor who taught how to solve problems and then assigned way way too many problems. I could manipulate the symbols, but I didn't grok what I was doing until I picked up a different text and started learning on my own. How many problems are needed definitely varies from person to person, and I'm not entirely convinced there aren't other ways to understand mathematics; but I suspect problems are the fastest and easiest.