i dont think you should be talking about how education should be if you aren't well educated.
Great, good thing I am then.
it seems to me you have no clue how college level math works if you think they care about order of things for only arbitrary reasons that can't be conveyed to kids in a simplified form.
It seems you have no clue how bureaucratic and insane the government has been with public education.
They want to teach kids good "practice" for math so "when" they make it to a higher level of math they will understand it.
But because they put the carriage before the horse, they missed the part where the kids learn to crawl before they walk.
And so they end up not even understanding basic math because they decided they needed to practice higher-level math
habits at an elementary level.
and your example doesnt even make sense cause that's not a real example - no grade school math teacher should enforce something like that.
No, they shouldn't and outside of a very specific high-level math it doesn't make sense. That's my point. So why are they
instilling these ideas in elementary math where it has no place in being even mentioned?
in math, with doing things a certain way, you can end up making things a lot more difficult to solve or easier to mess up, which is why specific methods are enforced by teachers sometimes.
Yes.
But telling kids they can't do vertical addition, subtraction, or division is ridiculous.
what the hell is the damn difference between
9 + 10 = ?
and
9
+10
-------
The difference is 21 and loving 19.
The reason you end up with meme videos like "What's 9 + 10? 21. you stupid"
is because they're not teaching kids to understand the logic of math, they're teaching them
to understand the practice of memorization. Which is loving asinine.
You want kids to learn potentially infinite amounts of addition, subtraction, multiplication and division exclusively by memorization?
Memorization of Multiplication of numbers 1-12 by 1-12 is understandable, but they still taught the logic behind why you did it, beyond
Just stating how it worked of course.
Logic in math will not click with every student by just simply stating some boring long-winded definition. It needs to be shown and
conveyed by example.
And expecting students to memorize every math equation instead of learning the logic behind them is like asking a calculus student
to learn calculus exclusively through this format:
What is the derivative of the the function of x when the function of x is equal to x to the power of five with a coefficient of twelve plus x to the power of three with a coefficient of seven plus x to the power of e with a coefficient of negative one plus x to the power of zero with a coefficient five?
It's confusing, convoluted, over-thought and misses the most important problem you need to over-come when you're teaching anything.
learning to unlearn what you've learned, so you can understand what you need to explain in seemingly excruciating detail to you, but
in necessary detail to a student.
You don't start teaching English to Elementary kids using graduate level techniques, that'd be insane.
Why are we doing the same thing with Math?
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