The question needs to be clarified a little.

There are 3 main ways education is administered:

public school- where the government pays and makes the decisions about curriculum, teaching staff and goals;

private school-where the family chooses and pays for someone else to make the decisions about curriculum, teaching staff and goals;

and homeschooling where the family (which can be only the parents or can include the children as they are able) purchases any needed items and makes the decisions about who will teach the different subjects and what the overall goals will be.

Whichever entity is involved–public school, private school or family–can choose how to provide the education:

a classroom where students are physically present with the teacher,

a virtual school where the student interacts with the teacher online,

or a correspondence school where assignments are given and received by mail.

There are homeschools where the parent is physically present in a classroom, in essence being the teacher and the classroom could be filled with siblings. There have been times when students live in isolated areas and are provided with correspondence materials by the public school. So there’s a difference between the things being talked about.