What exactly is it that makes AoPS Introduction to Geometry (book and/or course) more challenging/advanced than the other AoPS Introductory books and courses?
We have bought the following books with the idea of DS8 gradually working through the books, not taking the courses (though maybe he'd take the Geometry course).
Introduction to Algebra
Introduction to Number Theory
Introduction to Counting & Probability
Introduction to Geometry
I was vaguely aware that one should get about 1/2 way through Intro Algebra, before starting Intro NT and Intro C&P, and that one should finish those 3 before starting Intro Geometry. I told DS this, so he started on Intro Algebra and is about 1/4 of the way through. But he wants more variety and is itching to start the other books. I saw no reason not to start Intro NT and Intro C&P, and told DS he can go ahead with those.
I still want DS to finish those 3 before starting Intro Geometry. But I want to understand better what are the reasons for doing it this way.
