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.

This study explored whether the addition of the items with more advanced math content to the SAT Reasoning Test™ (SAT®) would impact test-taker performance. Two sets of SAT math equating sections were modified to form four subforms each. Different numbers of items with advanced content, taken from the SAT II: Mathematics Level IC Test (Math IC),…

The feasibility of pre-equating, or establishing conversions from raw to scaled scores through the use of pretest data before operationally administering a test, was investigated for the Scholastic Aptitude Test (SAT). Item-response theory based equating methods were used to estimate item parameters on SAT pretest data, instead of using final form…