That is not true. Parents use quality textbooks and lesson plans. They also get together to pay specialists to teach difficult subjects one or more times per week. Also, by the time a homeschooled child is of the age that their subjects can only be taught by specialists, they either know how to teach themselves or take courses from local junior colleges or correspondence courses.

There is no one proper pedagogy. Teachers use a lot of different methods, as do parents, whether they have an education background, a science background, or are just using well-reviewed curricula.

The ability to give a child a customized, one-on-one education is an advantage over the classroom model. The parents have time because one parent does not work or does not work very much; they are a full-time educator and put in a lot of work to be good at it.

Regarding your earlier remark about abuse: abuse does not really happen. The safest place for a child is in a home with intact parents, and most homeschooling families are intact.

I mean this kindly when I say you are completely ignorant of what homeschooling is like. I encourage you to acquaint yourself with actual homeschoolers. There are probably several communities in your area and you would be invited to observe some of the co-operative activities and talk to the parents.