A lot of what pedagogy does has little to do with institutional attempts to quantify learning. This is actually at the heart of the problem with programs like No Child Left Behind, or even Common Core: standardization across all learning situations is impossible and dangerous. It is one more attempt to control teachers and forcibly train students. Instead, teachers should work to be flexible, attentive, creative, and responsive, and allow students the room to learn in ways that are natural and instinctive to all humans.
I cannot agree more. I think pedagogy should teach the way of thinking, not just the knowledge which can be easily standardized and tested. I think it's absurd to train students from K-12 to be good standardized test takers but then expect them to be innovative employees when they enter the workforce.