the torah talks about chinuch in a lot of places and they seem to pull in different directions, so what is the actual system?

1. the straight obligations: devarim 6:7 says v’shinantam l’vanecha, impress these words on your children, speak them at home and on the road. and kiddushin 29a puts it on the father to teach his son torah and a trade. what exactly is a parent mechuyav in, torah only, or also how to live and how to make a living?

2. the method: mishlei 22:6 says chanoch l’naar al pi darko, train a child according to his way. does that mean every child needs a different chinuch? how far does that go, and what happens when the child’s way is not the parent’s way?

3. the discipline side: mishlei 13:24 says one who spares the rod hates his son, and one who loves him disciplines him early. how literally is that meant, and how does it fit together with al pi darko?

4. and succah 42a shows how early chinuch starts: a child who knows how to wave a lulav is already trained in the mitzva, and once he can speak his father teaches him torah and shema, starting with torah tziva lanu moshe. is chinuch mostly about starting mitzvos early, or about the person the child becomes?

bottom line: if a parent today asks what the torah’s way of raising a child actually is, what are the yesodos?