Another way to see this = total arrangements possible less the arrangements where the math books are together
Total arrangements = 6! = 720
Total arrangemens where the math books are together = they can occupy any of 5 positions....and for each of these positions, they can be arranged in two ways......and for each of these, the other books can be arranged in 4! ways ......so we have 5 * 2! * 4! = 10 * 24 = 240
So........720 − 240 = 480 ways
As NinjaAnswer found !!!!