home·school 
(hōmskl)
(hōmskl)v. home·schooled, home·school·ing, home·schools
v.tr.
To instruct (a pupil, for example) in an educational program outside of established schools, especially in a home.
v.intr.
To provide educational instruction in a homeschool.
n.
A school operated outside established educational institutions, especially in a home.
homeschooler n.