Yes-- this is evidently a hallmark of HG+ kids. It's the characteristic that our gifted-ed teachers have found almost mystically fascinating in DD. It's not exactly as though kids like this are autodidacts, because they often aren't really spending much time thinking about it and learning-- it just, sort of... comes to them. We call this quantum learning at our house, because it seems to be like electron spin or excitation. All or nothing, but once it happens, it is a complete transformation. No faltering, no stumbling-- mastery.
I think this only works in math or more fundamental sciences.
It's some sort of intuitive thingy related to the fact that these areas are discrete conceptual wholes rather than disjointed parts.
And it doesn't seem to work for biology or engineering.
Only math, chemistry (not organic chemistry), and physics.
Or it could just be me.
Well, seemed to work for literacy and some motif/theme applications in the humanities for my DD, too, fwiw. Also; a variety of developmental milestones like walking, etc.
Montessori methodology was a real treat with a kid like this, I'll just say. I mean, the
method behind that pedagogy was fine, though it was absolutely maddening how much
work it was instructionally for what seemed like incredibly little engagement on DD's part... Teach-show-learn just seemed to happen as teach-show-refusal-show-show-refusal-show-show-refusal-~blink~
MASTERY. Then we'd be right back to refusal. Because, you know, she DID do it. Perfectly. What did I think she was, anyway? A trained seal? A circus poodle? What is this "practice" thing you speak of?
DD13 still occasionally has this surreal mismatch with assignments. For example-- AP Lit has 'test prep' modules, where students run through a selection, answer questions about it, and then do a short write up of strengths and weaknesses, highlighting areas for personal improvement, etc. DD hasn't ever missed a question in those selections. So she's a bit bemused by the instructions; how is she to 'explain' why the correct answers are "better" than HER answers... if she didn't miss anything? While I can understand the use of such an activity, it's also clearly missing something in translation for my DD in particular. KWIM?
Oh, and it
definitely works for organic chemistry. You just have to understand the top-down concept, which is beyond most college sophomores' readiness level. Once you understand electron density to a predictive level, o-chem is obvious and easy. Like Legos or Tinkertoys-- it's a matter of understanding how the parts match up and go together. Biochem and lots of life-science topics are the same way.