I would like to ask three related soft (CW) questions, but I don't really know how I should do it. The questions are:
- It seems to me that there's is a great focus on Plane Geometry as a first proof-based course in high-school for 16-17-18 year olds in Western Europe and the United States. Why, if this a correct assertion, is there such a great focus on Plane Geometry as a first proof-based "course" in high-school in my country (Holland) and I believe many others throughout the world? (As opposed to, say, elementary number theory.)
- Have people ever tried to base such a first course on any other branch of mathematics?
- If the answer to (2) is "yes", to what extend was the attempt succesfull?
I know the general policy of asking questions on MSE is "one question per post", but I feel these questions are so related that they could fit in one post. How do you feel about this?
Furthermore, I would like to know if there is such a thing as a Math - or Science in general - Discussion website for asking soft-discussiony questions like these. I am talking about something that is at the intersection point of MO, MSE, blogs and a Forum.