One way I started to learn was by copying down and translating Word Walls I came across in-game. After a couple you'll start to memorize the letters fairly quickly.

Barring that, lots of writing practice can help. For example, maybe write out the Song of the Dragonborn in runes. It doesn't have to look perfect, just enough to get you to memorize the shapes.

There's a Memrise course for the dragon alphabet. Not sure why paarthurnax wouldn't mention that. It's where I've learned the alphabet, and it worked really well for me. I know not of any better system of learning.

Thanks for mentioning it hiith, I forgot about that course. I personally haven't used it. I'd recommend writing as a better way to memorize the alphabet, but the Memrise option is of course there too.

I think i might do both. Memrise for reading it. Copying them down for learning to write them. Memrise shouldent be a problem, because I am currently learning the language itself via the memrise course. Thanks for the input :D