Developing an understanding of fractions is critical as a significant predictor for the learning progression of advanced domains; however, students face significant challenges in learning fractions because of their unique properties. To systematically approach remediation, this study examined the common error patterns committed by middle-school…

The adoption of the Common Core State Standards has necessitated a change in the instructional practices used by many mathematics teachers. The new standards encourage problem solving and the development of conceptual understanding rather than rote memorization of formulas and rules. Researchers have demonstrated that formative assessment is a…

There is a consensus that certain cognitive abilities and mathematics performance are related. This link also extends to geometry. Surprisingly, however, little research has examined specific aspects of cognition that may contribute to successful performance in geometry, particularly at the secondary level. In this study, we explored in what ways,…

When offering online classes, it is necessary to ensure that all course material and objectives will be covered and learners will be successful in the course. This becomes especially important when the same class material and objectives are offered in a three-, five-, and fourteen-week format. This paper outlines the difficulty of delivering…

The purpose of this quasi-experimental non-equivalent control group study was to test theories of constructivism and motivation, along with research-based teaching practices of differentiating instruction and instructing within a child's Zone of Proximal Development, in measuring the effect of computer-aided instruction on fifth grade students'…

"Progress in Mathematics[C] 2006" is a new core curriculum for students in kindergarten through grade 6. "Progress in Mathematics[C] 2006" differs substantively from "Progress in Mathematics[C] 2000" in both content and assessment material. "Progress in Mathematics[C] 2006" uses a sequence of systematic…

The authors conducted design or classroom experiments (R. Gersten, S. Baker, & J. W. Lloyd, 2000) at 2 sites (Pennsylvania and Florida) to test the effectiveness of schema-based instruction (SBI) prior to conducting formal experimental studies. Results of Study 1 conducted in 2 3rd-grade, low-ability classrooms and 1 special education…

State and national data were used to examine whether Pennsylvania students are part of a national trend of decreasing higher achievers' scores and declining higher order skills. Data from the National Assessment of Educational Progress (NAEP) reports and the Pennsylvania Educational Quality Assessment (EQA) were examined. Analysis indicated that…

Politicians, academics, and business and community members all seem to be raising concerns that America is not as globally competitive as it once was. This is due, in part, to the fact that public schools in America are not producing high school graduates with the math, science, and technical skills to succeed in higher education or be employed in…

The National Assessment of Educational Progress (NAEP) is the only nationally representative and continuing assessment of what students in the United States know and can do in various academic subjects. The 1996 NAEP in mathematics assessed the current level of mathematical achievement as a mechanism for informing education reform. In 1996, 44…

In 1990, the National Assessment of Educational Progress (NAEP) included a Trial State Assessment (TSA); for the first time in the NAEP's history, voluntary state-by-state assessments (37 states, the District of Columbia, Guam, and the Virgin Islands) were made. The sample was designed to represent the 8th grade public school population in a state…

In 1990, the National Assessment of Educational Progress (NAEP) included a Trial State Assessment which, for the first time in the NAEP's history, made voluntary state-by-state assessments. This 1992 mathematics report marks the first attempt of the National Center for Education Statistics to shift to standards-based reporting of National…