Though sitting in silence whilst a teacher is talking is a sign of respect surely. Having said that, I know that through my school life, my teachers have continuously got us to learn not just through sitting and listening but through group work, through doing projects together, but talking and debating and discussing ideas, through going and doing our own research.
Now, granted, I am unable to talk about the US public education system because I have never experienced it, but I am able to give my experiences from the UK system.
I have benefited enormously from having teachers who were specialised in their subjects, something which I think home-schooling is unable to emulate. For my history teacher, I have someone who has done a degree in history and who has dedicated his life to historical knowledge. For my Spanish classes, I have a Spanish lady, which gives me unparalleled access in terms of quality of teaching.
In my current tutor group (of only 23 people) I am unable to interact with people from a huge variety of backgrounds! I have 2 Polish girls, 4 French people, 2 German girls, 1 person who has lived in Spain for 8 years. My best friend is Swiss German. In my classes I have people who are strongly for slapping Children and people who are strongly against. Strongly pro immigration and strongly against it. I have people who are devoted Christians and people who are fierce atheists. And we still have a community that is really strong. Despite our differences. Despite our religious backgrounds - I go to a college where you would find devout Muslim living next to Atheist living next to Church of England living next to Strict Baptist living next to Sikh living next to me - and we all get on fine, we all show tolerance and respect to each other, we are all part of one community. We spend our lunches together, our breaks together. We laugh together, we argue together and we cry together.
Now, I am not for a moment saying that home-schooling doesn't teach tolerance or respect. But I am saying that state schooling, in my experience at least, is not nearly as bad as you are making it out to be. There is, in my college - which is representative of colleges as a whole in the UK - a genuine interaction between people of different backgrounds.
And in some ways, such as the depth of knowledge and the resources teachers are able to give, it is vastly superior, for one or two people on their own are unable to emulate this depth of knowledge.
State schooling, again, at least in the UK, also teaches independence. From the age of 11, children are taught that they cannot coming running to someone every time they have a problem. They are forced to take responsibility for their actions. They are forced to organise themselves, to plan their work around very busy days, to learn how to leave aside time for socialising.
Now, it is true that home-schooling can provide this to some extent. But I think that there is potential for much greater personal responsibility when one is part of a large community such as a state school.
One other thing I would say. Before I moved to my current college this September, I spent 5 years in the same school, in pretty much the same class. Over that course of time, I got to know my friends inside out. But we had some hairy times too. We had to learn what each other's boundaries were. We had to learn the consequences of our own action. We had to learn that sometimes it was necessary to give space to people, to allow them time to themselves. We sometimes had to say things that were harsh in order to clear the air. But because of that, we are still really good friends now.
I would argue that such a learning curve is only possible in terms of a long term social situation, something that I feel that home schooling is unable to provide. It is only because I was stuck with them 8 hours a day, 5 days a week, 45 weeks a year for 5 years that I was able to get to know them so well, and therefore develop as a person in terms of my interpersonal skills.
Again, this is only in terms of my experience under the UK state school system. I am unable to say what the US system is like. Finally, I am only speaking generally - I am not attacking your method of doing home-schooling or you personally
