I'm not a ski instructor like most of the others posting in this thread, but I thought I would share some insights I had when first learning how to ski.
During my first year I noticed that I could turn quite easily at high speeds, but at lower speeds things were different; I seemed to have two ways to turn. As my high speed turns seemed to be working (actually at that time in my high speed turns I was just leaning into the turn, and just like riding a bicycle, the more I leaned the more I turned not a very safe way to turn - no room for error), I thought about how I turned at slow and moderate speeds. It seemed that I had understood that if my skis were pointed across my current direction I would turn, and I had to do something to get them to point across my path. I was, at the time twisting my skis across my path I was also smart enough to unweight them so they would turn easier and then let my weight come to them so they would dig into the snow and turn me.
My first big improvement in slow and moderate speed turns came when I realized that if instead of twisting the unweighted ski to make them turn, I could just put more weight on the tips once I had just a little bit of direction direction change in the skis. The extra drag on the tips turned the skis for me.
My second big improvement came when I realized the key was what the ski was doing on the snow. If you tip a ski that is bent into a curve it will carve a turn along it's edge. All I had to do was tip the ski at high speeds and the slight curve in the ski was sufficient. In deep snow the ski is already curved due to support of the snow all along it and load at the middle, so all I had to do was tip it. At low speeds on hard snow I had to weight the front of the ski to bend it a little bit more and tip it. Although I was actually skiing this way for a long time time before I realized it, once I knew what was happening, my skiing improved a lot. With a modern ski just tipping it while keeping your weight on it will cause it to bend; it is now bent and tipped and will turn you. You don't have to turn it. Let the snow do the work.
Thank you for sharing.
I like your sharing.