That's the thing about natural disasters - they're disasters. Bad things happen and there is no business as usual option.
I honestly don't think either could have really been achieved. But it's illogical to recognize that it's impossible for one group to justify pulling out all the stops to quarantine children.
> However, fewer than half of students at each grade had teachers who were quite or extremely confident in their ability to address learning gaps that may have occurred due to pandemic-related school closures.
So _hopefully_ but I'm not sure that _most likely_.
Most academics is for the enrichment of the school and instructors, not because it's an effective education.
They're having to start campus diversity for programs now in some places as a form of affirmative action in schools that became too gynocentric.
This has to be one of the of the most worn out stupid takes. The point of teaching things like math and science which people "will never use in real life" is to teach problem solving and critical thinking. NO ONE actually thinks knowing the quadratic formula is useful in and of itself.
I find it hard to believe that anyone could actually say that and believe it. In what scenario would a person that is not actively working in a STEM field (and frankly even then) ever need to solve a quadratic equation by hand? When most kids can barely handle using the formula on it's own I don't think deriving it is going to add any value to anyone other than already advanced students.
As you said, what good is being given a formula and told to use it for problem solving if you can barely understand it. Instead do the problem solving to derive the equation.
And that if you instead start with squares and rectangles and built up to it, it'll be less daunting.
But my point wasn't about this one formula specifically, but about the approach in general.
Then addition is "proved" in terms of those.
Then multiplication is "proved" using addition.
One building on the next.
But the length of the real proof is beside the point. We teach them about 1 and 2 before going to 1+1=2. And when we do go to 1+1=2, we show it to them using objects and counting. We don't simply tell "here's the function for addition, just put numbers into to to solve problems".
Also, NOT knowing the quadratic formula will make it much harder to solve hundreds of other math related problems. And the same is of course true for most of fundamental math knowledge.
But whatever you may think about the usefulness of mathematics, I can assure you that it's not a giant conspiracy to siphon money from tax payers. Every math teacher you can find (anyone in a STEM field, really) is 100% genuinely convinced that mathematics is extremely useful in a multitude of ways. They could of course all be mistaken, and devwastaken have seen the truth, but I don't think that is very likely.