Learning vs. understanding
Learning vs. understanding
The person who does not read good books has no advantage over the person who can't read them

Mark Twain
Learning without thought is labor lost; thought without learning is perilous.

The beginning of knowledge is the discovery of something we do not understand.

Frank Herbert
Learning is useless unless it's applied. Application requires understanding, initiative, imagination and commitment.
"One of the hardest thing that I ever had to do in a class was "explain" how I arrived at my answers on an assignment. My instructor wanted a step by step guide on how to solve each problem. This is a practice that I have used on occasion in my classroom. I feel that this forces the student to really think about what they are doing rather than just mimicking procedures that they had seen before. It is possible to know how to perform a task or solve a calculus problem without really understanding what it is that you are doing. In a sense this is what the Learning Principle discusses: Learning vs. Understanding."