Train Up a Child

In the spirit of our ongoing application of the law of Christ to contemporary issues, I would like to broach a subject that engenders impassioned debate on both sides:

Education.

There are various ways in which this issue has been approached. Some insist that, since "all truth is God's truth," education must take place from a uniquely Christian perspective (either in the form of homeschooling or through private Christian schools). Moreover, some advocates of Christian schools further insist that an educational model borrowed from the public schools with some Bible lessons thrown in is insufficient, opting rather for a classical, trivium-based approach (indeed, some are so sold on the classical model that they would opt for a non-Christian classical academy over a non-classical Christian school).

Others wonder whether, if a robust view of common grace is held, subjects like science, math, and literature really need to be taught under a distinctly Christian rubric. After all, doesn't our sharing the imago Dei with unbelievers allow us sufficient commonality to investigate these topics together?

And perhaps most importantly, do any of the proponents of the various views have the right to preface their position with "Thus saith the Lord"?