Since the journal World Englishes came into existence in 1981, it has published nearly 300 articles, book reviews, and author responses that are keyed to the term ‘intelligibility’. This I discovered in a search for ‘intelligibility’ on the complete Wiley Online Library Backfile (onlinelibrary.wiley.com) via my university website with its access to all volumes of the journal beginning with volume 1 through the most recent issue. Among the 290 article titles that came up in the search, 22 (13%) of them indicated that the article addressed some aspect of English teaching. This search of titular connections and the findings prompted me to title this article ‘intelligibility and pedagogy’ since no publication in World Englishes has carried this title. My look at this relationship will be as open and broad as the title. No claims are made for comprehensiveness. It is neither a descriptive nor empirical study. Instead, it is an account of one individual's attempt to bring Larry Smith's conception of understanding to bear in an English language course. The account will address the topics reflected in the 22 titles as they are indeed germane to a look at intelligibility and pedagogy. These topics are language education policy, teacher preparation, curriculum design, teaching principles and practices of teaching, assessment, and learners.