It is well known what happens when parents model violence and disrespect towards each other and their children. Clearly it is at least as important. And the best way to do this is also very simple, if not easy. Be with your child. Be together in a variety of settings, and make a conscious effort to welcome your child to the world of civilized adulthood, to the aspects of growing up to which her peers cannot introduce her.
Parents sometimes worry about hovering over their child.
While that might have been a legitimate concern for another generation, for parents today it is the least of our worries. While you do not want to be crossing the street with your 16 year old, the opposite extreme of letting go too soon has consequences which are alarming rather then ludicrous. I always assure parents in my 9-12 class, who are anxious about their roles in helping their child with homework, that their children will not take them to college with them. There is time enough for weaning. In fact, the intellectual interchange that occurs between parent and child as a part of the process of supporting the child in her work, while fraught with emotion at times, is a unique opportunity for modeling intellectual curiosity and appreciation techniques and a variety of other skills you may not have known you had.