Rick home-schools his own kids, presumably conducting the algebra classes between campaign stops. So it’s not really hypocritical of him to suggest it as the only option for those who can’t afford private schools:
“Most presidents home-schooled their children in the White House.… Parents educated their children because it was their responsibility. Yes, the government can help, but the idea that the federal government should be running schools, frankly much less that the state government should be running schools, is anachronistic.”
By “running,” Santorum means “funding.” Yes, the evidence suggests that American kids are dumb and getting dumber. Relatively few of them have millionaire parents. But why throw good money after bad? At this point it’s every man for himself. As Santorum might say: if it’s broke, don’t fix it.