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This is EXACTLY what school is like, in fact. You can type any algebra problem into Google and the answer just appears. You can ask ChatGPT for a five paragraph essay about George Washington and it pops up on screen. And yet, we expect kids to actually do the algebra and write the essay. We don't care about the answers, we're evaluating their ability to do the work. And if they're caught cheating it's a zero.

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I remember fondly on early math school, being able to come up with the correct output/answer by doing a totally different "intermediate thinking" that wasn't what the professor expected.

Only after sharing my Chain Of Thought would they believe I didnt cheat.

Not all problems can be solved only in one way.

Most of learning is pattern matching.

If you give a kid a dice. and tell it to figure out the number that will be hidden underneath, he can try to memorize all combinations, or he could figure out that every time the hidden value is the one that sums 7 with the one at the top.

If you're seeing a 6, there's a 1 hidden. etc

most people don't see these patterns until told imho. But others can just see them as they unfold

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