> What happens in reality, is that my kids (a) don't understand the confusing ways its presented and (b) don't make the connection between the different express

> What happens in reality, is that my kids (a) don't understand the confusing ways its presented and (b) don't make the connection between the different expressions of the same underlying concept. Its not useful. Its actually immensely frustrating for everyone. I agree. I remember how I learned: lots rote exercises and word problems. Clearly recall having insights and making discoveries on my own, but those made sense based on how I visualized things. And because of discovering them on my own, they were very memorable and fun. The funny thing, repetition is how kids learn. They copy and repeat things since day 0 without understanding why or how anything works. Insights and understanding the meaning of things come later. Reversing that process is counter-productive and goes against all the evolutionary mechanisms optimized up to this point. That kind of build-up from first principle will be useful, but that's closer to highschool or college level.