In addition to which, may I also point out that my schooling costs my mum something over twenty thousand pounds a year. For that I get instruction by the most highly qualified teachers available (few, if any, are without doctorates in their chosen discipline,) I get the use of the best equipped science labs, libraries, sports facilities, etc. I have been a boarder since I was six, and I think that has helped me gain self-confidence and independence, to a greater degree than someone who is taught at home.
With all due respect to those who either home-school their children, or were themselves home-schooled; few, if any parents would be qualified to doctorate level at every subject they teach their children. In fact few working parents would even have the time to stay at home for the hours required to teach a full syllabus every day.
I also want to point out that parents should not be the sole arbiters of their childrens' welfare. Certain standards as to religious indoctrination, societal prejudice and other subtle forms of abuse must be met. We are already far too subject to the prejudices of our parents.
I think that in remote communities, carefully monitored education at home is quite acceptable, but I cannot consider it a preferable alternative to a good, well staffed, and well equipped school.