What is the role of a parent in raising a child?

"Unquestionably, there are many competing theories about the most effective way for parents to fulfill their central role in assisting their children on the way to responsible adulthood. While we do not pretend any special wisdom on this subject, we cannot ignore that central to many of these theories, and deeply rooted in our Nation's history and tradition, is the belief that the parental role implies a substantial measure of authority over one's children. Indeed, 'constitutional interpretation has consistently recognized that the parents' claim to authority in their own household to direct the rearing of their children is basic in the structure of our society.' Ginsberg v. New York, [390 U.S.] at [p.] 639 [88 S.Ct. at p. 1280].