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Subsonic said..
Routine arithmetic/common knowledge and sense will be an archaic sentiment of the past. Future generations will look back at us and smile at how little we knew.
These facts that you speak of, do the kids you teach actually know when/how to apply the knowlege you regurgitate to them? If you gave them a complex problem to solve with very little to no information on how to do it, would they know how and when to use/apply the complex maths to solve it?
Mathematics was never my strong point, cant even count to ten on my fingers [I don't have 10 fingers to count with..]

but -
The tills in our country shop always balanced, it really wasn't that hard - although a few of the younger part time check-out crew really struggled,
Later....
When I was on the mines, I was designing blast patterns, which involves calculations including the density of the rock, the diameter, depth and spacing of the drill holes, the dimensions of the bench that needed to be broken up, the allowable vibration limits, the type of explosives available or preferred by the mine engineer, and the down hole and surface delay pattern needed so as to not mix gold/nickel/tantalum bearing ore with rubbish and assorted other explosives designy stuff.
Everything [usually] went kaboom as planned,

I must admit sometimes the results were a bit more "kaboomy" than expected

Only real drama I had was stocktaking the magazines - I would stocktake before flying home, by the time I flew back the counts would be out by thousands due to my replacement shottie being dyslexic, our lacky being unable to barely sign his own name, and our site manager not managing.
Yep- our education system turns out some real corkers!!
I would have to go back through the blast reports and reconcile the weeks jobs to work out wtf happened to the umpteen thousand dets, boosters, buster, pre-split snaggers, detcord, delays and the bulk ammonium nitrate and powergel they reckoned they had used - much of which I didn't have in stock to start with.

Pretty sure I earned my grey hair from sorting out those magazines!
Captain Flyrock signing off