Try this on beginner terrain with nearly no pitch. Be sure it is really flat because you are going to reach terminal velocity. This should be a slope on which you can do a straight run all the way down without gaining enough speed to bother you one whit.
Eyeball a tree at slope's end. This is your target; keep your eyes on this tree the whole time, and your thoughts on it (oddly important for this drill). Point your skis towards it, standing tall with your poles held comfortably. Maintain a hip width stance. If you are slightly knock-kneed, this won't work so well so be sure your knees are as far apart as your feet the whole run. Push off and allow yourself to gain a little speed.
Now slowly and gently, while looking at that tree, tip both ANKLES to the left. Wait; do nothing else but look at that tree. Then tip both ankles to the right. Wait, and stay intent on the tree. Alternate all the way to the tree. You should feel your skis moving forward fast on those tipped-up edges, carving purely. If you successfully do nothing else but tip the skis and ride the edges (oddly difficult to do, unless you are focused on that tree), and if you are not on old straight skis, the skis will make turns that only slightly deviate from a straight line. You will be going fast.
Ride back up and do it again. This time slightly flick your poles as if you were going to plant them, but don't. All you are adding is a little wrist-flick of the poles; the arms stay stable. Speed up the pole flicking a little and match the ankle tipping to the wrist action. You'll feel a pulse from the skis out to the left followed by a pulse out to the right. This pulse can get strong. Your body will naturally accommodate the slightly-faster leftie-rightie motion of your skis by angulating where it needs to so you don't lose your balance. This will just happen; you don't need to think about it. Think only about tipping as fast as you are flicking, and keep your eyes on that tree. You should be able to see pencil-thin lines in the snow. If so, you are carving short radius turns. This drill is called Railroad Tracks for obvious reasons.
Do it again, lightly tapping the poles to the snow as you flick your wrists. Then speed up the poles - the pole flick sets the speed of the turns. When you can flick those poles very fast and tip those skis just as fast, you'll have your fast carved short radius turns.
Once you can carve these fast "fall line turns," you are ready to slow down and add a little foot steering by rotating the feet around to complete the turns. This will allow you to slow your descent should you need to avoid tight trees. Work on this on the groomers before taking it to the trees. Best of luck and have fun.
Edited by LiquidFeet - 2/27/12 at 7:58am