My neighbor says these mushrooms growing under an oak tree are edible. Is he...
These look to be Grifola frondosa, known as "Hen of the woods," "sheepshead," or "Maitake."
Hen of the Woods is a good edible, but you should consult the local library or bookstore for a book on wild mushrooms before you decide to consume any. I cannot advise you to eat it since I can't examine it with a microscope.