When teaching a specific topic in a subject, which is not generally covered by textbooks, should or when the instructor should stick with the structure of the paper?
A not very popular topic in computer science covered in a paper. The structure of the paper is Algorithm 1 - Lemma 1 - Algorithm 2 - Lemma 2 - Theorem 1 - Algorithm 3.
The paper is published in one of top journals. I am aware that the editors and reviewers are quite decent people and they really know how to suggest organization of the paper for the sake of readability and understandability.
In what cases should an instructor change the structure while teaching, for instance to Lemma 1 - Lemma 2 - Theorem 1 - Algorithm 1,2,3?
Answers with experiences will be appreciated.