We investigated the role of working memory in symbolic and spatial algebra and related tasks across five experiments. Each experiment combined a processing task (expression evaluation, arithmetic, coordinate plane, geometry, or mental rotation) with verbal and spatial memory loads in a dual-task design. Spatial memory was compromised in the…

Rational number understanding is a critical building block for success in more advanced mathematics; however, how rational number magnitudes are conceptualized is not fully understood. In the current study, we used a dual-task working memory (WM) interference paradigm to investigate the dominant type of strategy (i.e., requiring verbal WM…

This study investigated longitudinal pathways leading from early spatial skills in first-grade girls to their fifth-grade analytical math reasoning abilities (N = 138). First-grade assessments included spatial skills, verbal skills, addition/subtraction skills, and frequency of choice of a decomposition or retrieval strategy on the…

This research examined a potential mechanism underlying gender differences in math performance by testing a mediation model in which women's higher anxiety taxes their working memory resources, leading to underperformance on a mathematics test. Participants for the 2 studies were college students (N = 87, N = 118) who completed an anxiety measure,…

We analyzed a pool of items from an admissions test for differential item functioning (DIF) for groups based on age, socioeconomic status, citizenship, or English language status using Mantel-Haenszel and item response theory. DIF items were systematically examined to identify its possible sources by item type, content, and wording. DIF was…

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.

Algebra I students were assigned to matched pairs according to scores on mathematical and verbal aptitude tests (high-math, Low-verbal; high-math, high-verbal; High-verbal, low-math; low-verbal, Low-math), then received programmed learning tasks designed to teach summing of series. Either learner was given the correct formula in both verbal and…

Exploring whether deductive reasoning can develop adequately without special instruction, this paper presents two studies that examine the development of meta-components of deductive reasoning, first in algebra, and second in verbal reasoning. The first study examined students' understanding of logical necessity in algebraic tasks in different…

Minorities have for some time been underrepresented in the technical fields, such as engineering and computer science. This development is known to be caused by a variety of factors, but the primary purpose of this report is to help identify those factors that adversely affect the cognitive development of the technical bilingual student in terms…

This report offers details of the results of basic skills testing of the entering freshman class in New Jersey's public colleges. Levels of proficiency in verbal skills, computation, and elementary algebra are estimated from performance on the New Jersey College Basic Skills Placement Test. For the 48,568 students tested in the fall of 1990, 24%…

This report offers details of the results of basic skills testing of the entering freshman class in New Jersey's public colleges. Levels of proficiency in verbal skills, computation, and elementary algebra are estimated from performance on the New Jersey College Basic Skills Placement Test. For the 48,791 students tested in the fall of 1989, 24%…

This document reports on a study into the relationships between cognitive preferences, achievement, and ethnicity of first year algebra students. The sample consisted of 175 students from two high schools in the Denver (Colorado) metropolitan area. The two schools were chosen because of the diversity of ethnic groups in the student populations.…

The 7th International Conference on Education Data Mining held on July 4th-7th, 2014, at the Institute of Education, London, UK is the leading international forum for high-quality research that mines large data sets in order to answer educational research questions that shed light on the learning process. These data sets may come from the traces…