The again we are not that far off from time when your AI glasses will read the price label. And then automatically add up total for you. Hopefully you then each time ask what does that total mean in context of your finances...
I wasn't ever able to really develop deep intuition about/understanding of a calculation until I did it by hand once or twice. I often just plugged in new models and algos just to see if performance was above a threshold, but when I wanted to productionize a new winner, I'd have to run through the algo by hand for a few steps to understand and tune it. And through doing it by hand, the complex became the simple.
like the logic sticks deeper in your head that way... using computer is fast, but sometimes it just goes in one ear and out the other