This is not exactly a mathematical question.
I am from Pakistan; and over here students are taught a subject 'demonstrative geometry' (as a part of mathematics) from secondary level education. Basically, we are given a theorem to prove and we have to make a diagram corresponding to it, and then prove it in two columns.
Firstly, I want to know if this is taught all over the world and if it is the same as Euclidean geometry?
Secondly, I never understood the importance of it. We never use any algebra; I do not understand if it can be used to solve practical problems. Is not then Cartesian geometry better?
Here, is en example:
