Is homeschooling against Church teaching? This sounds absurd but I have heard it mentioned once.
No, homeschooling is not against Church teaching. Indeed, the Church upholds the parents’ rights as the primary educators of their children. If parents decide that they can best fulfill the obligation to give their children a Catholic education through homeschooling, they are acting within their rights as parents and within the Church’s teaching.
Homeschooling Is Not a Crime** by Jimmy Akin