The quality of education in homeschooling depends largely on the quality of teaching that the parents give. There are some disadvantages, like most parents don't have teaching certificates, and have to be reasonably knowledgeable on a variety of subjects through high school, whereas teachers only have to know one subject well (above elementary school, anyway, and elementary-level knowledge is not very deep). There are some bad teachers and great parents, but the average teacher is likely better at teaching than the average parent without any educator training. There's also a powerful advantage in that it's much easier to tailor the educational format to what works best for the child if homeschooled. And less time swallowed up by administrative garbage like roll-call and grading each other's papers during class time, so it doesn't take 7-8 hours a day plus homework to get a day's learning in.
So I think homeschooling should be allowed. It doesn't work well for every family, but for other families it's superior to public or even private education.
