Education in the US as a whole may be on the decline, but for math specifically I’m not sure that we ever figured out teaching methodologies that work for all children. Every math teacher I’ve ever had was very theory-minded and could barely understand students who weren’t — those who learn through practical example and hands-on activity for instance usually get left in the dust.

Reading teaching on the other hand was for the most part figured out a long time ago but trendy experimental methods keep getting cycled regardless.

>I’m not sure that we ever figured out teaching methodologies that work for all children.

This is a fundamental problem with all learning: it's difficult to get entire group to do something the same way with equal effectiveness... that being said, teaching methods are evolving and it's really on the school system to embrace those changes. My kids are young, and their school teaches math with the Singapore Math system and literacy with the UFLI program. They have both been highly effective.

Their class sizes are also 12:1 students:teacher ratio, and 6:1 in Pre-K/Kindergarten. So that's also probably important.

Every teaching method you can think of has been tried. What you are describing is called scaffolding with manipulatives which you can find dozens of for maths. Schools have also tried making worksheets catered to multiple skill levels within the same classroom.

The harsh reality: most children infamously still have a hard time even being able to tell the time on an analogue clock. You can try every method under the sun but if a child has a hard time understanding a system with two different base numbers it is usually because they just don't have the capacity. All the handholding in the world isn't going to change that.

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