You'll probably notice that I start my students with a hand position that isn't standard. During my first few years of teaching, I did encourage playing with the usual curved position shown in method books. I learned the hand position demonstrated here from a teacher trainer whom I apprenticed with, and find it gives students much better control of the keys, and encourages better relaxation of their hands.
This is the first demo video I've done of this type, but would love to do more in the future. Let me know if you need clarification of anything shown in the video, or suggestions of how to make the next one better!