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I see this from the "other side" since my husband was home educated age 10-18. In his experience (and I grant that home schooling experiences vary WIDELY) he studied pretty much what he wanted to study. Therefore, he knows electrical, plumbing, woodworking, etc. that most public school kids wouldn't know (unless they studied it outside of school). However, despite having a VERY mathematical mind, he can't "do math" -- not even algebra. This is frustrating for me because for most of my students the hardest part of math and science is "setting up the problems", not solving them. My husband is the exact opposite. Oh, as a side note he was also VERY VERY motivated to finish college . . .otherwise he'd have no degree at all.