Well, go back even just 30 years (though increasingly less common by then) and you had several generations of slide rule users in the engineering and science fields. People knew how to use logarithm tables (even I was taught them in the mid-90s in high school, but outside a single no-calculator math course, I never used them after).
I think some of the math topics (mental arithmetic) will remain valuable, but as you press into different intermediate and higher skill levels you'll see some things disappearing (like the aforementioned slide rules). The act of differentiating will remain useful, but more useful is understanding how to establish the model for your system which includes differentiation and integration. So we may see a decline in the mechanical skill, but an increase in understanding/applying it.
I mean, look at a lot of contemporary machine learning approaches. Most of the practitioners probably don't understand a lot of the mechanics of the math inside the models, but do understand the applications. That's not bad, it's just different. A few people need to master the internals to make progress on them or implement them, but most can get by and make useful (hopefully) applications without that level of understanding.