1950's movie where a young boy discovers a mathematical error

A crippled boy discovers a wounded bald eagle, nurses it back to health, tames and teaches it to fly. One day, a rattlesnake is about to strike the boy, when the bird attacks the snake and a vicious fight erupts between the snake and the bird. In the excitement, the boy forgets his crutches and finds himself able to walk without them...

Eagles are the channel to the spirit world for a Hopi Indian boy who defies tribal law and frees a sacred, sacrificial eagle. He is banished from his village to the wilderness, but the eagle teaches him hunting skills and cares for him. He eventually returns, only to be bullied and taunted by the other village boys.