Everyone falls a ton when learning to snowboard IME. Myself, 25 years ago, was miserable for two days with a destroyed coccyx and thought I had permanently damaged my butt. My kids who are both very athletic fell like crazy when learning... and they basically plowed the runs for the first year or so until they were brave enough to go toe side.
I am going to try skiing for the first time next month. I am excited to get off the ground.