"The highest levels of every human activity demand a solid grasp of the basics, think of tennis or violin. Mathematics happens to require rather a lot of basic knowledge and technique."
"It is not enough to believe that something works, that it is a good way to proceed, or even that it is true. We need to know why it's true. Otherwise, we don't know anything at all." Letters to a Young Mathematician by Ian Stewart
How many squares are in each perimeter?