"Do they experiment and analyze and try out alternative procedures in some sort of planned sequence? The author of one important study finds that few of them seem to reason at all, and that reflective thought is not evoked. 'Instead, many of them appear to perform almost random calculations upon the numbers given. Where they do solve a problem correctly the response seems to be determined largely by habit.'"

Having known many mathematicians, I can confirm that they too solve problems this way ;)