The problem is available light.
If you moved the skating rink outside, you would not have a problem if you have a camera that lets you control the shutter speed.
Then you could select a faster shutter speed to eliminate the blur.
A faster shutter speed requires more light.
Video might still be a problem because you have so little control over shutter speed with an inexpensive video camera. You might need a professional video camera.
How much zoom do you normally use?
Are you using something like stage lighting?
..(bright lights on the action with dark audience)
Are you using spot-lights?
Are you using flash with the still camera?
What Canon camera are you currently using?
I have a hard time with the junky old Canon I have as well as the Sony Bloggie (which is made for video sharing, but blurs every move). I want to be able to take high quality photos of spins and jumps, which means I need the camera to take several photos in succession, without blur or lag time. Zoom is somewhat important, as is ease of use. My price range tops out around $400-500 I suppose. I don't want anything too fragile either...as I will have to entrust others to operate the camera. What do you suggest? (FYI - I know nothing about cameras) Thanks for any info in advance!