My mother is a retired teacher. The mother of my child is a teacher, too.

My child is in the public school system. We do some additional teaching after school and I generally buy him more candy on saturdays, if he solves some mathematical puzzles.

The teaching quality of every school varies. Generally, by home schooling, you could get much better learning results. The group size is just too large to focus on any individual problem. I think it is fair to say, that public schools teach the theory less effictively than home schooling. Practical application of that theory is known as homework and you should make sure your children actually do them.

But not everything that the school teaches is on curriculum. You learn first and foremost social skills. Group sizes are large. There are idiots. There are true friends. There is a cute girl in the first row. You have to work with other people. Just like in real life later on.

If you home school your children. they might become anti-social and biased on your personal world views. You can tell them Jesus created the dinosaurs and in your community that might be even recommended. Or skip those parts totally, because they weren't in the bible.

Neither option is perfect. I would still choose not to home school my children. That does not mean, that you cannot actively ask your children what they are learning, look at their homework and teach them additional skills they don't learn at school.