It's an anecdote, but... Guy I went thru undergrad with went to a high school where the 10th grade algebra class requires naming the principle to be applied fo

It's an anecdote, but... Guy I went thru undergrad with went to a high school where the 10th grade algebra class requires naming the principle to be applied for each step in a problem, as if it were a proof. This is painful. But he'd learned algebra properly. I hadn't. His math grades were much better than mine for a long time.