What English teachers want from students writing papers is insightful analysis –– thinking that sees beyond the obvious and expresses an original thought.

With this word, remember in- and -sight-. When you have the ability to look (sight) inside (in) something––a painting, a discussion, a situation––and find what others aren't seeing, you are being insightful. An insightful person is someone capable of deep, insightful thinking.

Definitions of insightful

adj exhibiting insight or clear and deep perception

“an insightful parent”
“"the chapter is insightful and suggestive of new perspectives"-R.C.Angell”
having the ability to perceive or understand; keen in discernment