what is the correct way to fall? as in how should you handle it in a way to avoid injuries?
The very first thing I teach my beginners (be prepared I teach 5 year olds mostly) is Hands on Heads, and shoulders, now knees, bend really really low, hands away from the ice, and fall to the side.
The key points are hands off the ice and fall to the side and these apply when ever you fall. When you feel yourself falling and you know you can’t save it your best bet is to lean to the side, this way you avoid falling backwards and potentially hitting your head, or falling forwards and winding yourself/splitting your chin on the ice. What is probably more important then that even is to avoid putting your hands down to break your fall.
Story time: last year I sustained permanent damage to the soft tissue of my right wrist because I put my hand behind me while I was falling. I have a reason,. I was teaching a student crossovers and skating backwards crossovers and holding them while they tried them forwards ones. I noticed a kid fall behind me and in making sure I avoided them I threw myself off balance and I had a choice of throwing my hand behind me make sure my leg didn’t swing up, or not risk a wrist injury and send my toepick into my students face/chest. You can guess what I chose. I was in a brace for three months and then on and off for a while after that. It’s never going to be normal again according to my physiotherapist and the doctor yay me!!
tl;dr Don’t put your hand down when you fall and try and fall sideways as much as you can.
Those are the ways to stay mostly injury free, or as injury free as figure skating can be!!
Good luck and stay safe!!!
Oh and a footnote here are two hilarious falls from Olympic figure skater Patrick Chan (otherwise known as his love affair with the boards) by @eggplantgifs
And two of Daisuke Takahashi, 2010 worlds champion and two time four continents champion (or the art of falling on your end pose) also by @eggplantgifs