I think you could make a case for a sort of back-and-forth, where you test your understanding by trying to do it all in your head, get the wrong answer, careful

I think you could make a case for a sort of back-and-forth, where you test your understanding by trying to do it all in your head, get the wrong answer, carefully check your work by doing all of the steps on paper, find the mistake, make an "oh-of-course" facepalm, and then try doing the next problem in your head.