Bill's suggestion is a good one, but I would take a different approach.
I think you should take a look at the Sony HX20V. http://www.amazon.com/Sony-Cyber-shot-DSC-HX20V-Digital-3-0-inch/dp/tech-data/B006K551WQ/ref=de_a_smtd
. I have last years model.
It may not look like a video camera, but it is. Last years model was called an HX9V. Use "HX9V" as a search on YouTube and you will see how good it is.
Does it take better video with better picture quality than Bill's suggestion? No, but it will do at least equal to it. Plugged into a big screen TV the full HD picture is amazing.
Advantages include that it can safely ride in your pocket while it is your turn to ride. You can safely hold it in your palm, held low, while you ride and it will get fantastic motion shots in the near fisheye wide angle setting. It has enough zoom you can get head shots from across the bowl. Stabilization and color are very good. The wide angle setting is very wide, so a fisheye adapter is not necessary, unless you really want the fisheye distortion.
Some would tell you to get a GoPro because you can wear it or attach it to your board. But, the sound is terrible and it is always in wide angle. The video is good though!
What I don't like about Bill's suggestion is that the viewfinder sticks out like a wing. Although useful, I think I would worry about it in a high action environment.
What I like most about the HX9V, or more current HX20V, is that it is an entire kit that can be with me all the time. You could keep it in an old sock in your skate bag or pack where it is available when the shot opportunities are good. A camcorder that is with you is better than one that's not.
I googled "HX9V skateboard" and found some videos you can watch at:http://www.youtube.com/watch?v=b4429G_aIik
A different Bill