
Ok, since I forgot/weren't allowed to take pictures on the ice, I'll have to make do with the one from the Ice Palace website... :P
Like a typical physics student, the first thing that came to mind when I was attempting to skate was that ice is an almost completely frictionless surface. This means that you can glide for a long time on ice because almost all of the energy remains kinetic energy and isn't converted to heat or potential energy (don't ask me where the potential energy would go...). A force must be applied by the skater to get moving at all, and so you need to provide a force forward by pushing with your feet. When the skate is pointing in the direction of it's velocity, the friction coefficient and friction force is very low, while when the skate is pointing perpendicular to the velocity the friction force is very high. When skating, you can take advantage of this friction by pushing yourself forward with your skate sideways so you can have more traction to push yourself forward. Another important part of skating is balance, so your center of mass must be directly above your skate blade or you will fall over. Also, if you stop suddenly (say, someone skates right in front of you, and you don't want to hit them) by digging in your toe pick to increase the friction, although there is a negative acceleration on the skates, the rest of your body is still moving at a constant velocity, and you will often tip forward just enough so your center of mass is no longer above your skates, and you lose your balance.
Wow, that was a long blog... :)