Computing numbers isn't math. Gaining insight into abstract structures is math. Understanding...the process to compute...numbers...is one specific example of math.
Very interesting, thank you! So you'd say it's not math unless the understanding is present?
That wasn't meant to be a description of "math" so much as a description of the process many people have for beginning their understanding of it. The point I was trying to make was that some forms of understanding often come after
proficiency in the process.