"If I hand you a equation to solve, and you type in the numbers, hit enter on your programmatic calculator, and write down Texas Instruments' answer, you are definitely not dong math." <-- would have been my teachers' attitude too.
replyThrow in "and when the batteries in your calculator die, you'll need to know how to do it by hand!" for good measure. :-)
I jest...
I think the difference with the calculator analogies is a calculator just speeds up calculations you could do yourself (granted some very slowly). I can’t type in “sally has 35 apples, and wants to give an equal number to each of her 7 friends. how many apples does each get?” I have to know to do 35/7. But an ai will do that problem solving for me, with zero understanding on my part.
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