Our entire school system is wrong. :) I am working on it. We force parents to go to school and that is wrong.
The key to rapid education is teaching the correct subjects. All science is functionally math. Physics is math and chemistry is math. Music is math. All written homework is functionally English. Art is functionally understanding of light and shadows, which is best taught through photography. Photography decouples ability to render (drawing) from ability to compose. Until the child is fluent at algebra and written English, teaching other subjects except for athletics relies on the child's innate talent or, more likely, their parents.
In other words, you cannot swap all time for study of english and mathematics and expect to simply achieve twice as much in english and mathematics.
Learning 45 minutes at a time is silly. It's far more effective to master one concept at a time.
Logic comes with math. I haven't fully thought it through, but my initial goal is to eliminate the need to rely on parents to do well in school.
There's no question to me that early exposure and encouragement makes all the difference in educating kids. I can't understand why we're not engineering experiences in all these different fields for kids to build real stuff that can eventually turn into a trade. If you're a kid, even today, and you want to learn an adult trade young, your options are still pretty much just artist or programmer.
If there was a way to start doctors or lawyers young, maybe it'd make a difference. As a kid, I knew one girl that was a hospital volunteer, and she ended up going to Africa as an adult to try and make the world a better place by helping others. People don't realize how activities in formative years really stick with kids.
Instead of giving kids meaningful work, we're raising a generation that's going to be great at self-promotion and fortnite.