I'm not the first person to state this, but it bears repeating: nearly everyone thinks that they know the right way to teach, and most people don't.
I'm not exempting myself from this. I was an adjunct lecturer for two semesters. I did have some fun with it, but it was way harder than I thought it would be, and I think that university is probably considerably easier than elementary or high school.
I had students that I knew were smart that I was forced to fail. They would grasp the subjects quickly when I was speaking, they would ask good questions during class...and then they would simply never study or do the homework I assigned them, and then they would do terrible on tests and I'd be stuck having to give them a bad grade. They were smart students, but they didn't want to be there.
Now when I see people talking about how they're going to "revolutionize" school, most of the time I just assume that they've never actually taught anyone anything, or least never been required to teach someone who really isn't interested in learning.
There's also this: https://youtube.com/watch?v=g1ib43q3uXQ which claims data shows students being forced to "figure it out" is not the best way to learn. Most HNer disagree with this.
based on your description, one reasonable way to 'revolutionize' school might simply allow people (who don't want to be there) to leave.
I was one of those students. I refused to do homework after the age of 11 (I cited the 13th amendment). Quit school as soon as it was legal to do so. I wrote about this in Secrets of a Buccaneer-Scholar. Now approaching my 60th birthday, I feel certain I was suffering from undiagnosed ADHD.
You can't force a brain to think what you want it to think. I couldn't even force myself to think what I wanted to think. I began to imagine my thinking brain as if it were a pet rhino that did as it pleased. Over time I learned a lot of tricks and hacks to function in the technical world and perform reliably. But it was a long journey.
I teach for a living now-- but I only teach the willing.
There's a huge difference between things people are forced to learn and stuff they want to learn. Life does tend to make you learn a few things by force, but that can also kill off one's taste for a subject.
Conversely, I remember mom giving me M&Ms for getting math flash cards right as a small kid. For some reason, I always liked math...
I signed up for software carpentry instructor training at the SciPy conference in 2015. I expected to learn about their curriculum. Instead, I found that they taught pedagogy. There were articles to read in advance. I should have taken that class before I spent 15 years teaching at university rather than afterwards.