While “the home is the first school of Christian life and ‘a school for human enrichment’” (Catechism of the Catholic Church, n. 1657), education and formation for children and youth is a lifelong process and the responsibility of parents, pastors, and the local parish community.
The Church recognizes that there are situations where some families choose to "home school" their children. However, these efforts cannot be done independently of the parish setting, as supported by the Code of Canon Law.
Can. 773 Pastors of souls especially have the proper and serious duty of seeing to the catechesis of the christian (sic) people, so that, through doctrinal formation and experience of the christian (sic) life, the faith of the people may be living, manifest and divine.
Can. 774.1 The care for catechesis, under the direction of lawful ecclesiastical authority, extends to all members of the Church, to each according to his or her role.
Can. 774.2 Before all others, parents are bound to form their children, by word and example, in faith and in christian (sic) living. The same obligation binds sponsors and those who take the place of parents.