I think an example of the failures of rote learning is a simple math problem.
An army is marching down a road at Xmph and stretches out 1 mile in length. An officer at the rear of the army notices a problem. How long does it take him to get to the front of the line traveling at Ymph and how many minutes does it take him to do the round trip?
Now, if you hand this to a bunch of collage students who have not seen it before a surprisingly small fraction is going to be able to do it quickly and they are not generally the ones who think of math a series of steps from problem to solution.
An army is marching down a road at Xmph and stretches out 1 mile in length. An officer at the rear of the army notices a problem. How long does it take him to get to the front of the line traveling at Ymph and how many minutes does it take him to do the round trip?
Now, if you hand this to a bunch of collage students who have not seen it before a surprisingly small fraction is going to be able to do it quickly and they are not generally the ones who think of math a series of steps from problem to solution.