Education ∪ Math ∪ Technology

What is math?

This image is an attempt to capture the important stages of doing mathematics. As pointed by other people, mathematics is not a linear process, which I am attempting to share via this image. I see analytical reasoning, flashes of insight, and exploratory calculations as the glue that holds these stages of mathematical thinking together.


The stages to doing math


How do you see the process of "doing math"? Is it possible that what sets mathematics apart from other disciplines is the formalism, and the calculations involved? How does this process compare to other things that we do in life?