I refused to teach my daughter to drive. As a teenager, I watched my father teaching my stepsister, and decided he was NOT going to teach me. After that, I decided it is something that was best left to a third party, and as I told the kid, I want us to be speaking when you get your license. I personaly still find the concept of letting amateurs teach people to drive baffling, and then I hadn't even thought about what it would do to the relationship between parents and children to do this
I had a friend whose dad was *not* very good at teaching her to drive. Whenever she did something he didn't like, he'd elbow her really hard. She got bruises all up and down her side and was terrified of getting in a car and terrified of driving. He was not normally abusive (although rather strict and authoritarian and didn't have a good relationship
with her), but the car just pushed him over the top. She went off to college without having learned to drive or gotten her license. Interestingly, both my dad *and* the boy who was to become my husband ended up giving her driving lessons, and she got her license at 19 or 20 I think. And my husband had only gotten his own license at 18 and was a year younger than us, so he'd just gotten his license himself before teaching her.
It is odd in some ways that an amateur teaches you to drive, but I think part of the problem is that it takes a *lot* of driving time and practice to get good at driving, it's best done naturally (i.e. driving to pick little sister up from soccer, driving to the mall, driving to and from your job), and it would just get too expensive to pay somebody to teach you all of those hours.
Of course, I read a book that talked about a guy sending his kids to a special driving academy (in Colorado?) where they do things like deliberately put you into a skid on a greased track and have you pull out of it, etc., so that they would really truly be safe and proficient drivers in any circumstances. They'd already had licenses and been driving for years, but he said their minds were blown at their experiences there and they became *way* more confident and controlled behind the wheel.