Five variables were identified from the action map: Relative frequency of mnemonic actions (R/MN), relative frequency of cognitive actions (R/COG), relative frequency of perceptual actions (R/PER), number of actions (ACTIONS), and number of loops (LOOPS) (a loop was defined as a triangle formed by the arrows that indicate the sequence of actions). Four variables were identified from the assessment rubric as follows: Math knowledge, problem solving, communication, and total (the sum of the three variables). Two statistical analyses were done. A stepwise multiple regression was performed to identify the variables in the action map that predict problem solving performance as measured by the assessment rubric. Second a factor analysis with a Quartimax rotation was done to examine the construct validity of the action map by identifying the structure of the action map and the factors therein. To illustrate these variables we calculated their values for the two examples in Figure 1 (Table 1)