I'm home-schooling my daughter in math because Zoom and it not agreeing with her. She did great last semester and tests several years ahead and has a very intuitive sense of why things work the way they do, I'd like to keep her interest.
However, we're now on to pre-algebra and using this book [0], "Prealgebra: The Art of Problem Solving". The first chapter is all about axioms, proofs of some sort, breaking down "obvious" conclusions back to their constituent proof-from-first-principles and it's not agreeing with her at all. Since this is the first week I'm struggling to find a way to have it all make sense, and I've concluded we need to kind of skip much of this first chapter (we'll look at the summary) and get to the later content which is more intuitive and applies "obvious" principles, and come back periodically to revisit the more mechanistic content in the first chapter. I think the parent post's description of exploring a topic matches how my daughter will come to understand the whole "algebra stack." (Wish me luck.)
However, we're now on to pre-algebra and using this book [0], "Prealgebra: The Art of Problem Solving". The first chapter is all about axioms, proofs of some sort, breaking down "obvious" conclusions back to their constituent proof-from-first-principles and it's not agreeing with her at all. Since this is the first week I'm struggling to find a way to have it all make sense, and I've concluded we need to kind of skip much of this first chapter (we'll look at the summary) and get to the later content which is more intuitive and applies "obvious" principles, and come back periodically to revisit the more mechanistic content in the first chapter. I think the parent post's description of exploring a topic matches how my daughter will come to understand the whole "algebra stack." (Wish me luck.)
[0] https://www.amazon.com/Prealgebra-Richard-Rusczyk/dp/1934124... , Amazon: "Prealgebra: The Art of Problem Solving"