Listening to a horrible lesson. Sorry, that's the facts.
Try this. Ski on a very easy slope, standing easy on the balls of both feet. Your feet should be walking width apart. No wider. No narrower. Natural balanced position. Note where the label is on each ski between the tip and your toe. Don't look down, look ahead always. To turn right, slightly move forward so you have most of your weight on the ball of your left foot (you aren't pressing anything, you're just standing easy & balanced on the ball of your left foot). Turn your body slightly to the left. Your goal is to have your zipper pull dangling above the label on your left ski. Turn both feet to the right as you move out over your left ski. To increase this action, at the same time, lightly lift the big toe edge of your right ski off the snow just a fraction of an inch by rolling your ankle inside your boot. You still aren't pressing anything.
Reverse the movements to turn left. You will be standing on the ball of your right foot. Zipper pull over the label on your right ski. Left big toe lightly lifted off the snow by rolling your left ankle inside the boot.
For steeper slopes--just more of the same. Smooth but quicker movements. Get your body farther downhill and farther out over the outside ski. This is tough. It is natural to lean back, and if you do, you're doomed. Make the movements I describe and don't give up part way through. Stay out over your skis until you've turned far enough toward up hill to control your speed, then do it again the other way.
Here's what's happening. Look at a ski. It has the hour glass waist shape and the tip is the widest part. If you move your body, smoothly, nothing extreme, so the skis are a bit on edge, and move so your weight is over the front half of the ski to engage that broad tip in the snow, the ski turns you. All you have to do is balance. It really is that easy.
I've taught many first-day'ers to make parallel turns on the easiest slope. It is a real problem for new skiers to wedge so much that it has become a habit. Don't use a wedge anywhere except in a lift line. Challenge yourself on either technique or terrain, not both. Don't try slopes that are so steep that you're uncomfortable and make bad movements. Get it right on the easy stuff, then gradually work your way up the mountain continuing to make good, controlled movements.