I know kids learn to talk and walk with no overt teaching but they learn by example, I think these are more of a biological drive in the human being. I am not sure learning Pi falls under the same category.
Let's take maths for a moment. I know how I can teach my kids math using real life everyday things to make it relevant, I get that. But what happens when at 14 my kids need to know how to do paper math as over here they sit exams for it when they are 16, suddenly the fun math just doesn't fit any more and they have to learn more and more abstract math that doesn't necessarily have anything to do with real life learning.
I have to show my local education authority that my children are progressing and learning things and unschooling seems possibly a hard way to do this.
I wonder if they need things to challenge them to grow or do I just let them learn things that they find fun? What if they never write, my dd hates to write as at 10 she is slow, she does write little bits here and there in her notebooks but she doesn't write at length about anything, I think she would need a lot of encouragement to write more and I don't know if this would be unschooling.
How on earth do you let go of the need that your children should learn things? It has made me question what is my goal of education as it used to be academic success, now I wonder if they can have that but have fun along the journey?