I've had a couple of lessons, the hardest thing for me in the beginning was the left hand. The one without the stick.
There is a bit of a trick to how you use that hand. Mostly it is about relaxing. The left hand hangs at a strange angle that made me want to tighten up.
I found that rotating the left wrist, instead of coming straight at the drum made the difference. (after re-reading this, it doesn't really get the idea across... you have to see and do it a few times to get the move...?)
I started by sitting in front of the TV with the drum muted against the back of the chair, and just did alternating strokes. This got the motion down to a more sub-conscious level. This freed me up to start working on rhythms etc.
As with any other instrument, I strongly recommend finding a teacher and getting some classes under your belt. I've only had 3 private lessons, quite a few years ago, that paid off immensely.
There are many vids on youtube of tama players, some good some less so. Look around to get the feel of it. I've done a little research in the repertoire, but not enough to be able to steer you beyond that.
See this discussion for more info...
http://www.djembefola.com/board/technique/ntama-technique-instruction-t700.html