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What I started doing was whirly birds. You do a 360 on flat ground without popping. From there I started stretching it out a bit more each time so I would do a 180, ride fakie for a second, then 180 back. I kept doing it and then just extended the time in between.
From there to learn to carve I just started kind of messing around with it. I would do the blind side switch where you put one ski further forward than the other and look over your open shoulder. Then I would just focus on getting on edge from that position and kind of carving. Make sure to look over your shoulder, not just spinning around and skiing fakie blindly.
These suggestions have been good. As mentioned above, the torso positioning won't work if you don't look over both shoulders. Be sure you can revert quickly and safely (not coming to a stop befor eturning around) before you start carving. Keep a wide stance, and try it without poles. This is the one instance where there is absolutely no argument for them. You won't pole plant and they only get in you way switch. Just experiment and it will come. For me, it was like learning to ski groomers all over again, and feeling your sidecut while bombing backwards is unreal. I just got bacons this year, and I feel sort of silly using the rare EC pow day to practice, but skiing switch in pow is the most challenging/rewarding thing I can think of.