The principal purpose of education is to help an individual acquire knowledge and develop skills. This is a noble objective, but it does not justify the use of coercion or force by government in its pursuit. The choice to seek an education and the nature of that education is a matter of personal sovereignty. In principle, no difference exists between the degree of personal sovereignty possessed by a child and an adult. Practically speaking, however, dependence on adults limits a child's sovereignty.
Dependence implies a degree of immaturity and a limited capacity to employ reason in making choices.
Thus, a parent or parent surrogate has a right to be involved in the educational choices of a child. However, there remains a question about the nature of that involvement. Parents can attempt to influence educational choices by a child in several ways. First, a parent can use force to impose educational choices on a child. Second, a parent can use threat or intimidation to impose educational choices on a child.