You probably know from your own experience that what you want to learn comes easily. I don't remember much of any history class I took in school, but I can discuss King George III of England in detail. Pure interest fueled that study. Without grades, without tests, your children can learn amazing amounts of information. Any parent whose school district uses pizza coupons or gold stars might want to give it a look.
Most children begin school eager to find out about the world.
In a few short years, those same children sigh with boredom while sitting in rows at their desks. Something about schooling makes the change. I firmly believe, as though it's an article of faith, that my child will find her way through all of human wisdom and discover that which resonates for her. She's already got many of the basics, with reading and simple computation on their way. No one can learn all there is to know, and I defy anyone to make a watertight case that some corners of information are inherently more important than others.