"One way you can put this idea across, is to borrow some teacher jargon to stun the next person who tries this {examining & criticising children's knowledge}. Say "My kids are whole-to-part learners, not part-to-whole learners." Or if you want it to be more understandable you could say that they are "holistic" learners. When I want to be LESS understandable, I toss in the world "gestalt", even though I'm not completely clear on the meaning."
{to which another unschooler added:}
From Dictionary.com
Gestalt:
"A physical, biological, psychological, or symbolic configuration or pattern of elements so unified as a whole that its properties cannot be derived from a simple summation of its parts."
Sounds like a perfect way to describe a learner, and also Unschooling.
I have also heard the definition that the "whole is greater than the sum of its parts"
So, Fish and Cricket are pursuing a gestalt education.