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Preparing for Battle
When you send your children away from home, wherever they go they go to war.
I was homeschooled, then attended public high school and a 4-year public university. One of the great benefits of this was that it shattered any illusion that the world agreed with or supported my Christian values. My secular friends had limited contact with confessional Christians, so we often conversed on various points of disagreement. The preparation my father gave me to enter the world of the heathens was biblical catechesis, good discipline, and the ability to think. These tools were sufficient. From the solid foundation of Christian truth, I discovered that my secular opponents had no such preparation, no foundation, no hope, and no defense but denial of the truth.
It's not the school that matters. What matters is the values of the student and their proximity to a place those values are reinforced. No matter the folly occurring elsewhere, a library still holds knowledge, a choir still sings, an engineer still studies math, and a business student still learns management. An economically-capable Christian can obtain a quality education at a public school. But they must have the wisdom to know what is good, the conviction to do what is good, and a church to feed and support them in this fight.
Before you despise public schools as a heathen and unacceptable option, consider why your children need a “higher education” at all. Consider the debt. Consider the community. Consider that no matter where they go, they must be equipped for spiritual resistance against an increasingly hostile world. Consider that you have had many years to prepare them for this fight, and they must carry on after you are gone. And consider that the appearance of a battlefield can help the warrior remember his calling.