Turbulence may appear as impenetrably complicated when studied in terms of "low-level" quantities such as the fluid velocity or the electrostatic potential. However, it can be greatly simplified in variables that are more abstract yet also more meaningful specifically as characteristics of turbulence. In particular,  the typical equations that emerge in turbulence theory can be put in the same form as those that govern nondegenerate quantum plasmas, which are easier to understand. I will overview the basic idea of how to map turbulence equations to plasma equations and how to keep them intuitive; in essence, using the Weyl calculus is the key. I will also illustrate this idea with examples from Rossby/drift-wave turbulence, which is ubiquitous in fluids and plasmas. Similar applications to other types of turbulence are also possible and anticipated.