Some random musings this reminded me of.
I graduated HS in mid 2000s and didn't start using a calculator for math classes until basically a junior in college. I would do every calculation by hand, on paper. I benefited from a great math teacher early on that taught me how to properly lay out my calculations and solutions on paper. I've had tests I've turned in where I spent more paper on a single question than others did on the entire test.
It really helped my understanding of numbers and how they interacted, and helped teachers/professors narrow down on my misunderstandings.
Not only that: I suspect you already have an inkling of the range of the expected outcomes for the answer in your head just looking through the problem and any answers that fail that test will cause you to pause to re-check your work.
This aspect is entirely missing when you use an oracle.