The purpose of this study is to apply the attribute hierarchy method (AHM) to a sample of SAT algebra items administered in March 2005. The AHM is a psychometric method for classifying examinees' test item responses into a set of structured attribute patterns associated with different components from a cognitive model of task performance. An…

Constructed-response formats are desired for measuring complex and dynamic response processes that require the examinee to understand the structures of problems and micro-level cognitive tasks. These micro-level tasks and their organized structures are usually unobservable. This study shows that elementary graph theory is useful for organizing…

Open-ended individually administered questions can ascertain whether students can reason about arithmetic problems. Free response test items are useful in assessing students' thought processes as they solve mathematics story problems. Since story problems do not state explicitly which arithmetic operations are required for solution, students must…

The complex nature of the psychological construct called judgment, the history of its identification as a mental ability, its measurement, and its relationship to other mental abilities are discussed. Factor analytic research which isolated the judgment factor is reviewed. The pervasiveness of the judgment factor throughout a number of diverse…

Explored relationships between 137 grade-8 cognitive items used in the 1990 National Assessment of Educational Progress and selected themes from the National Council of Teachers of Mathematics'"Standards." About half the items related to four "Standards" themes, with most of those being related to problem solving and reasoning.…