Are Geometry Proofs Hard?

It is not any secret that high school geometry with its formal (two-column) proofs is considered hard and very detached from practical life. Many teachers in public school have tried different teaching methods and programs to make students understand this formal geometry, sometimes with success and sometimes not.

Are proofs hard to learn?

Proof is a notoriously difficult mathematical concept for students. ... Furthermore, most university students do not know what constitutes a proof [Recio and Godino, 2001] and cannot determine whether a purported proof is valid [Selden and Selden, 2003].

Are geometric proofs rigorous?

6 Answers. Geometry can be axiomatized and thus allow for proofs that are as rigorous as any other proof in a formal system. In fact, Euclid's "Elements" is a very systematic and rigorous account of geometry, starting with axioms and rules of deduction.