What it used to mean to say someone was good at math was that they were very good at quickly solving complicated math in their head. One documentary I saw claim

What it used to mean to say someone was good at math was that they were very good at quickly solving complicated math in their head. One documentary I saw claimed that this is what they looked for at Oxford and Cambridge for their math programs. As soon as the calculator was invented (okay, and made cheap and portable), this skill was useless. Then you had to set up problems so that the calculator could solve them. (Similarly with the computer). This is a natural and good progression. All the best practices should be learned and mastered by people building the tool, and you should just be proficient at the tool.