Children learn the same way everyone does when they are completely free of others’ expectations and other interfering impediments to learning. They learn by wondering about something, thinking about it, finding out about it, perhaps reading about it or discussing it or looking it up on the internet, all driven by their own curiosity.
The school system isn’t wrong in the sense that it’s further from the truth than Karl Popper. It’s wrong like the Catholic Church was wrong in refusing to accept Galileo’s heliocentrism and in locking him up so as to protect their worldview.
The more (voluntary, wanted, enjoyable) engagement and influence in all directions, the better. And when people are voluntarily joining together and influencing one another, amazing things can happen. The whole may well be greater than the sum of the parts: they may create knowledge together that might not have happened were they each alone.