Four kinds of understanding, four unifying themes, structured concept maps, and four under-taught topics

This report describes four kinds of understanding that students rely on in statistics--logical/deductive, computational/algorithmic, graphical/dynamic, and verbal/interpretive. These kinds of understanding will be illustrated, as will four unifying themes (production, exploration, repetition, and inference) that instructors can use to give students a better sense of the subject of statistics as a structured whole. Structured concept maps will also be illustrated, as will four topics (transforming, adjusting, blocking, and crossing/interaction) that are often missing in introductory statistics courses.