They really are learning so much every day. It doesn't look like school learning (textbooks, worksheets, tests, and only covering "what your Nth grader should know") but you know it is just as valuable, if not more so, because it wasn't fed to them and promptly forgotten; it was pursued with passion. When someone asks you what grade the kids are in, you have to think a minute. You keep busy helping them pursue their passions as well as their passing interests. You are on the lookout for new things you think they might enjoy. You can see them making connections in all sorts of unique and interesting ways, but sometimes you worry. Reading, math - will they really figure out what they need to know? And are they truly learning anything useful playing video games?

Reading What about later readers? Here's an article I wrote about this topic.

Math Does math really just come up in real life?  Are you intimidated by math and want to keep from passing that on to your kids?

Video Games They're having fun, but what can they really be learning by playing video games?