ITT: Times common core got it right

But it looks like they were already given the answer, at least that's how they wrote down the numbers they had along with the arrows. How would they solve this without being told already that x=-32? Is this just for checking to see if the answer is correct?

Ah nvm, I didn't see the numbers at the bottom. Still, it seems like an odd way to organize work.

Given the equation, you write out the top set of arrows based on order of operations. Since the first thing you do to x is take a fifth root, that comes first. Then adding 7, etc. The last arrow ends at 12, because that's what it's supposed to equal.

You solve for x by filling in all the red stuff. The lower arrows are the inverse operations of the upper arrows, which you always do when solving an equation anyway. This helps you visualize it better.

This is how it was taught at my high school around 8 years ago in multiple classes. I just assumed this was a fad in education back then.

this is better desu

This method can be better, but unfortunately it is rarely taught using logical inferences as it ought to be. Either way, just because one method is good and another one better doesn't mean there is no benefit in using both as teaching tools. Afterall, the first method gives the reader a more intuitive introduction into invertible functions.

Isn't this solving it with some fancy arrows added? I could solve it without the arrows and I'd still be using the same steps.

It's a teaching method that emphasizes how you solve it in a visually intuitive way. Obviously if you already understand what's going on, you can solve it without writing anything.

>:12
what did they mean by this?

Division obviously

Give me 1 (one) (a single) other instance of that notation being used (ONE)