Cuts Like A Knife: Ribs 101
Here's a jolly video from those crazy kids over at Kraft foods. This is a decent overview of some of the common rib cuts you'll find in the store.
And here's a video showing you one way of cooking ribs. This is not the only way. He is using a pellet cooker (fueled by compressed wood dust w/ the fire automatically fed pellets as the previous ones burn down). This is not the cooker that I use, but the principles are the same, low and slow w/ clean burning fire.