The purpose of the study is to present research focused on validating the four algebra cognitive models in Gierl, Wang, et al., using student response data collected with protocol analysis methods to evaluate the knowledge structures and processing skills used by a sample of SAT test takers.

The results of this study conclude that there is a multidimensional basis for test score inferences on the mathematics and critical reading sections of the SAT. Results from the exploratory analyses indicate that the data are multidimensional, as mathematics displayed two dimensions and critical reading displayed three dimensions. The correlations…