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Gierl, Mark J.; Leighton, Jacqueline P.; Wang, Changjiang; Zhou, Jiawen; Gokiert, Rebecca; Tan, Adele – College Board, 2009
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.
Descriptors: Algebra, Mathematics Tests, College Entrance Examinations, Student Attitudes
Eraslan, Ali – International Journal of Mathematical Education in Science and Technology, 2007
One of the important phenomena observed in the learning of mathematics is compartmentalization. This phenomenon occurs when a learner has two different, potentially contradictory schemes in his or her cognitive structure; in a typical case, a student deals with the same mathematical concept in an inconsistent or incoherent way, or activates a less…
Descriptors: Cognitive Structures, Mathematical Concepts, Grade 10, Honors Curriculum