There's a wonderful textbook, I think by Griffiths, that starts from the premise that if you learn the math of quantum mechanics first (i.e. how to actually set up and solve relevant systems of equations) then it's much easier to learn the meaning and implications after. It gives you a lot of problems up front to give you a rock-solid grounding in numerical examples, and only in part 2 does he delve into what it all means.