This article presents the findings of a secondary analysis of the National Longitudinal Transition Study 2 that explored the predictive association between training in access technology and performance on the Woodcock-Johnson Tests of Academic Achievement: III. The results indicated that the use of access technology had a limited predictive…

We report a dissociation between higher order mathematical ability and language in the case of a man (SO) with severe aphasia. Despite severely impaired abilities in the language domain and difficulties with processing both phonological and orthographic number words, he was able to judge the equivalence of and to transform and simplify…

The principle of inversion--that a + b - b must equal a--requires a sensitivity to the relation between addition and subtraction that is critical for understanding arithmetic. Use of inversion, albeit inconsistent, has been observed in school-age children, but when use of a computational shortcut based on inversion emerges and how awareness of the…

This article describes concepts exhibited by seventh-grade prealgebra students as they approached algebraic-thinking tasks. (Contains 7 Figures.)

Numerical fractions are commonly used to express ratios and proportions (i.e., real numbers), but little is known about how they are mentally represented and processed by skilled adults. Four experiments employed comparison tasks to investigate the distance effect and the effect of the spatial numerical association of response codes (SNARC) for…

This reprint from the June 1912 issue of "Mathematics Teacher" gives readers a sense of the timelessness of some of the issues relating to teaching for computational fluency.

Teachers use action research in order to improve their teaching and student learning. This action research will analyze students' algebraic reasoning in finding values of variables in systems of equations pictorially and algebraically. This research will look at students solving linear systems of equations without knowing the algebraic algorithms.…

This study involved an investigation of the effects of strategy instruction integrated with the concrete-representational-abstract teaching sequence on students with learning disabilities. A multiple probe design across subjects with one replication was used in this study. Two sets of data were analyzed to determine effectiveness of the…

The educational standards, instruction, and testing of mathematics remain a controversial subject in the United States. Given the significant and growing need for mathematics remediation, it is reasonable to question how well individual states are preparing its high school students to succeed. This evaluation examines the correlation between the…

As a follow up to the National Council on Teacher Quality (NCTQ) national studies of how well elementary teachers are prepared to teach reading and mathematics, NCTQ looked at preparation in both subjects in all undergraduate teacher preparation programs in Wyoming. This report evaluated Wyoming's undergraduate elementary teacher preparation…

The purpose of this multiple case study was to identify ways to improve learner persistence in General Equivalency Diploma (GED) programs in the U.S. The participants in this multiple case study were GED instructors and adults without high school diplomas who were enrolled in two GED programs were located in the Southern and Southwestern U.S.…

A schema-based instruction allows students to approach a mathematics problem by focusing on the underlying semantic or problem structure, thus facilitating conceptual understanding and adequate skills. The purpose of this study was to examine the effectiveness of schema-based intervention on the mathematical word problem solving skills of middle…

In the past two decades, several major initiatives were launched to improve mathematics and science education. One prominent feature in these efforts was a new approach to teaching mathematics and science, referred to as "reform-oriented" teaching. Although past studies suggest this approach may improve student achievement, the relationships…

In this study we report the results of survey research that collected responses of an identical sample (31 beginning mathematics and science teachers, elementary and middle school level) that graduated from a reform-based mathematics and science teacher preparation program, the Maryland Collaborative for Teacher Preparation (MCTP). Our aim was to…

Including English language learners (ELLs) in large-scale assessments raises questions about the validity of inferences based on their scores. Test accommodations for ELLs are intended to reduce the impact of limited English proficiency on the assessment of the target construct, most often mathematic or science proficiency. This meta-analysis…