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.

Discussion of information as a process focuses on a conceptual exercise for calculating the information content of an information process. Topics include Bertram Brookes' fundamental equation; Claude Shannon's mathematical theory of communication; set of a priori alternatives; knowledge structures; and an example of an archaeologist's information…

This analytical paper covers: (1) review of the terrain of information utilization; (2) posits/examines Bertram Brookes' fundamental equation of information science as a theoretical framework, and discuss our understanding of/research into, the cognitive aspects of information utilization, and (3) discusses methodological aspects for investigating…

The cognitive structure of an algebra test was defined and validated using the linear test model (LLTM) and quadratic assignment (QA) techniques. The LLTM is an extension of the Rasch model with a linear constraint that describes item difficulty in terms of the cognitive operations required to solve the item. The model permits the specification of…