To get centered...
Look at your videos:
0176: 14 seconds, your feet are in front of your hips; look at your crouch
0179: 22 seconds, your feet are in front of your hips and you are crouching
0180: 21 seconds, ditto
Stand up. Pivot forward at the ankles. If anyone tells you to crouch like you're doing, nod your head and ignore them. Pivot forward at the ankles so you have contact with your firmly buckled boots. The crouch puts your hips back...and tires you.
We talk about the sweet spot of the skis. Some skis have a big sweet spot and are easy to ski on. Other skis have a small sweet spot and perform very well if we hit the sweet spot. Where is the sweet spot? It is somewhere between the logo on the front of the ski and the toe binding. If you get your body's center of gravity over the sweet spot your skis will perform the way the ski engineer designed them to perform. Your CoG is around your belly button. You need to stand tall and pivot forward from your ankles so your zipper pull is out toward the label on the front of your skis---over the K2 or Head or whatever brand is on the front. Not quite that far, but out there. Even better...you want your zipper pull over the label on the outside ski--the left ski on a right turn, etc. You want a bit of flexibility in your knees, but not that crouch you have. If I can see my ski tips in my peripheral vison when I'm looking ahead, I'm not far enough forward. Every physical activity I've looked into has the person on the balls of their feet except two...clog dancing and water skiing. You need to be on the balls of your feet inside your ski boots. Not on your heels, nor half balls & half heels. Better yet, you want to be on the ball of your left foot for a right turn and the ball of your right foot for a left turn. Relax you feet; don't curl your toes. Get on the balls of your feet by hinging forward at the ankles.
Practice this: standing still, pull both feet very strongly straight back. Make them slide behind you. Pull back so strongly and so far that the tails come off the snow. Not up; back. Make an easy straight run and pull them back like this several times. Do this pullback in turns and on the straights as a drill. People tell you to get your weight forward. It is much easier to get your feet behind you using your strong hamstring muscles.
When skiing, use that very strong backwards pull at the beginning of every turn. Pull stronger and farther for tighter turns and steeper slopes. Practice until you can get it right. It will immediately improve your skiing. Pull both feet strongly back to start the turn, then pull the inside foot strongly back all the way through every turn. This can not work if you crouch. When you strongly pull back you will feel like you're diving head first into the abyss at every turn. This is good. Your skis will be under you and in control.
To make sharper turns you need to work the tips of your skis into the snow. You cannot do this with your center of gravity over the tails. Making sharp turns while sitting back requires great muscle power and still doesn't work well. The most important part of each ski is the forward half of the inside edge. You need to engage this part of the outside ski into the snow. On a right turn you engage the forward half of the inside edge of the left ski into the snow, for example. This is done by the very strong pull back at the beginning of the turn, feeling like you're diving forward with your head, and getting that edge working into the snow. Your feet will feel like they're making figure eights under your body. Keep your feet closer together. You'll ski better. Your feet should be walking-width apart. That's the way your body is made. You've been told to keep them apart for stability (probably by the same person who told you to crouch), but stability isn't balance. Try them close together and you'll like the result.
Nothing I said above is orthodox. Not doctrine. But it works every time for everyone. Try it. It'll work very well for you. If you're told anything else, ask how that will improve the ski's interface with the snow (which is what it's all about). They won't have an answer.
Edited by SoftSnowGuy - 12/17/13 at 10:55pm