You knowing to step back means you're self-directed when it comes to learning. Most kids weren't. Most adults still aren't. You've correctly identified that schools are designed for the lowest common denominator. .
If you were fortunate enough to be in a school that actually rose to meet your level, the questions would become challenging enough that you you'd need to show your work for your own review.
"Show your work" itself wasn't the bad policy. The level of the work you were assigned was. The grading (which I agree is bad) is because it's the only tool they have to push the policy. At a good school they wouldn't need grading threats because, "I can't help you fix this unless you show me what you did," and your desire to understand the material is sufficient reason to show work.
You knowing to step back means you're self-directed when it comes to learning
Even if I wasn't, its not an unreasonable ask for a teacher to be able to identify if mistakes are being made in consistent areas and that that is where the focus needs to be on. And if they have "too many students and work" to have that level of individual care, then adding additional grading and disciplinary effort undermines that claim.
The grading is the largest issue, but there is always the problem of assuming there is only one method that is "best" that needs to be taught. I do math using what would later get formed into Common Core, because that works naturally for me. But the fact that its a hugely controversial policy shows how much it doesn't work for most people. Its an absurd method that requires your brain to be able to quickly and instantly solve dozens of small problems, often times at a rate that makes explaining it quite difficult if not impossible because you didn't consciously think of it.
Which is likely why as a young lad I didn't enjoy "showing work" but couldn't explain why. Because saying that you used Subtraction to solve 27+15 even confuses teachers. But it makes a lot more sense to subtract 3 from 15, add it to 27 and then just add 12 to 30 in your head than whatever dumb shit method they teach you to use when you "write it out."
You knowing to step back means you're self-directed when it comes to learning. Most kids weren't. Most adults still aren't. You've correctly identified that schools are designed for the lowest common denominator. .
If you were fortunate enough to be in a school that actually rose to meet your level, the questions would become challenging enough that you you'd need to show your work for your own review.
"Show your work" itself wasn't the bad policy. The level of the work you were assigned was. The grading (which I agree is bad) is because it's the only tool they have to push the policy. At a good school they wouldn't need grading threats because, "I can't help you fix this unless you show me what you did," and your desire to understand the material is sufficient reason to show work.
Even if I wasn't, its not an unreasonable ask for a teacher to be able to identify if mistakes are being made in consistent areas and that that is where the focus needs to be on. And if they have "too many students and work" to have that level of individual care, then adding additional grading and disciplinary effort undermines that claim.
The grading is the largest issue, but there is always the problem of assuming there is only one method that is "best" that needs to be taught. I do math using what would later get formed into Common Core, because that works naturally for me. But the fact that its a hugely controversial policy shows how much it doesn't work for most people. Its an absurd method that requires your brain to be able to quickly and instantly solve dozens of small problems, often times at a rate that makes explaining it quite difficult if not impossible because you didn't consciously think of it.
Which is likely why as a young lad I didn't enjoy "showing work" but couldn't explain why. Because saying that you used Subtraction to solve 27+15 even confuses teachers. But it makes a lot more sense to subtract 3 from 15, add it to 27 and then just add 12 to 30 in your head than whatever dumb shit method they teach you to use when you "write it out."