This article examines a "calculus graphing schema" and the triad stages of schema development from Action-Process-Object-Schema (APOS) theory. Previously, the authors studied the underlying structures necessary for students to process concepts and enrich their knowledge, thus demonstrating various levels of understanding via the calculus graphing schema. This investigation built on this previous work by focusing on the thematization of the schema with the intent to expose those possible structures acquired at the most sophisticated stages of schema development. (Contains 5 figures, 1 footnote and 2 tables.)