I might have misused the term - I thought up to 8th grade and perhaps even 12th grade was "grade school"? I got my sister to think algebraically with non-geometrical problems, and then apply that successfully to a novel geometrical problem with perimeters and volume when she was 10...but she wasn't able to retain it after a week. Later on when she learned it in school at an older age, she did retain it. I suspect attentional control is the limiting factor, rather than abstract thought.
But you're right, this should be tested. She's technically not a teen yet so next time she has a long holiday of free time I'll see if she can learn about basic logical properties and set theory. (It seems way easier than the graphs simultaneous linear equations she's doing right now, so I am optimistic).
I see. I'm used to it being a synonym for primary school, but according to Wikipedia, that's apparently ambiguous or incorrect.
I agree that trying to teach it and seeing what happens is the way to go. :) Although I guess there is probably a lot of individual variation, so a school curriculum based on what works for your sister might also not generalize.
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