Even just an example that everyone is screaming about as logic-chopping and cheating is a good and important example worth thinking about That it's easy to add 2 pounds to 2 pounds and get 5 pounds, if you're using a scale that rounds 2.2 and 2.4 down to 2 and rounds 4.6 up to 5
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Forgetting to carry the 1 while multiplying two numbers gets you a wrong answer within the same order of magnitude as the right answer Multiplying the *wrong two numbers* is a far more consequential mistake
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And the best way to build a foundation to avoid such errors is to start off teaching children to THINK To understand that mathematics, including even simple arithmetic, is a CONSTRUCTED TOOL Which is what all that newfangled nonsense about set theory and whatnot is about
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