Schools teach students mathematics as it truly is.
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Well, here is your first mistake. Go check out Common Core mathematics and get back to us on this.
I thought about many of those same issues but with only about 600 words to work with you have to leave a lot out... but I agree 100% with Common Core.
My wife was damaged by “New Math” decades ago... went from being pretty good at it to lost in a short period of time. I’m certain many Freepers had the same experience