Like most of you, we'll use "homeschooling" most, because that's what most people recognize. But I don't always like it because it does carry the implication of school-at-home, which of course many homeschoolers do... but it really doesn't cover the whole umbrella, KWIM?
We're not radical unschoolers either, I think we're pretty eclectic, but we're certainly not strict school-at-home, and I get tired of having to explain THAT when people inevitably make that assumption. "What grade are you in?" "Oh, I homeschool." "Wow, that's great! So what grade are you in in homeschool?" *sigh*
I like "free-range learning", I like "real world learning". Maybe something like "Family-Based Independent Education"?
Ooh, how about "Family-Rooted Independent Education?" Then it could be F.R.I.E. -- free!!
I just looked up synonyms for 'independent':
, autarchic, autarchical, autonomous
, freewheeling, individualistic, nonaligned, nonpartisan
, on one's own, self-contained, self-determining, self-governing
, self-ruling, self-sufficient
, self-supporting, separate
, separated, sovereign
, unaided, unallied, unconnected, unconstrained, uncontrolled
In this context, I like autonomous, self-determining, self-governing, self-supporting, unconstrained, and unregimented.
Family-based Autonomous Independent Learning? No good -- that spells FAIL. Though that could be the greatest irony of all... lol...