Both. Flying just above the ground has been a popular dreamland superpower for me since I was a kid. I take longer and longer steps and I just start skirting a few feet above the ground without touching the ground. I love to go higher but I can't seem to influence what happens in my dreams.
"The Invisible Man" was a popular movie. I swore as a kid that if I had that ability I'd use it for good only. Well, mostly :)