> The problem with Step 1 is "all". The whole point of my initial post is that children vary, and the methods by which they're educated need to vary as well. "All children will be lead into the forest by an experienced guide who will let their curiosity guide them in a journey of self-exploration" is just as wrong.
It's not just as wrong, and I think that's the friction we're having. The original premise is, "Our one-size-fits-all approach is obviously not working, we need education to be more self-directed." I hear you saying, "Some people might not be able to learn in a self-directed way, we need some other director." That may well be true, but it still leaves our current system undirected which is definitely worse.
> My friend's son is endlessly curious about dinosaurs, so much so that he refuses to invest any time in math homework. In general, curiosity leads to specialization, which is great only to the extent that it doesn't preclude some time being exposed to other subjects. Curiosity is like having a favourite food: Children need to learn a balanced diet, lest they die of malnutrition for eating nothing but candy.
Sorry, that just sounds like speculation to me. If you can demonstrate somehow that forcing everyone to study arithmetic is necessary for us to have a happy, productive society, I'll accept that; as it stands, I know a lot of people who were forced to study arithmetic for many years and still struggle with basic math. Is it possible that we just wasted a bunch of their time?