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I'm a firm believer in pushing kids to their limits to see what they can achieve. If we let them bail on hard stuff before they even try it, we are dooming an entire generation into jobs as servants in the service industry. I never wanted to be a servant. But, I knew that very early in life. So, I did the work, and passed my math and science classes.
I understand your point. I also feel that your point is "old school". Not doing math that they don't need or won't use is not "failing". Teaching the vast majority of kids the things that they learn past the Freshman year is a waste for them and in a sense, we are failing them. We should be teaching them life skills. We should be teaching them basic things like interest rates and loans. How to invest. We should be teaching them skills that relate to all jobs, not specific ones. Specifically teaching planning, working independently or collaboratively, questioning, evaluating, making connections, etc. These skills bridge all jobs. You can teach these skills in a variety of ways that do not require algebra, dissecting an eyeball or cat (like we did, yuck), etc.