The analysis of sequence data poses a great challenge; existing methods for the comparison of sequences take what theoretical grounding they have from other fields (most importantly, genetics). We argue that set theory provides a way of establishing the relations between sequences that has a natural application to the case in which the sequences…

In Intelligent Tutoring Systems (ITS), methods to choose the next exercise for a student are inspired from generic recommender systems, used, for instance, in online shopping or multimedia recommendation. As such, collaborative filtering, especially matrix factorization, is often included as a part of recommendation algorithms in ITS. One notable…

This study investigated the use of text messaging as an educational tool in a pre-algebra course at a community college in the central region of North Carolina. The research was conducted in two pre-algebra classes with thirty-three students and one instructor. Data were gathered using qualitative and quantitative methods. A mixed method design…

The authors review what is known about early and universal algebra, including who is getting access to algebra and student outcomes associated with algebra course taking in general and specifically with universal algebra policies. The findings indicate that increasing numbers of students, some of whom are underprepared, are taking algebra earlier.…

This paper illustrates how information collected through interviews can develop a richer understanding of the assignment mechanism, which can result in more plausible causal effect estimates from observational studies and provides a roadmap for sensitivity analysis. Focusing on the issue of assignment to algebra in 8th grade, the author shows how…

Research has suggested that musicians process music in the same cortical regions that adolescents process algebra. An early adolescence synaptogenesis might present a window of opportunity during middle school for music to create and strengthen enduring neural connections in those regions. Six school districts across Maryland provided scores from…

In the literature of mean and covariance structure analysis, noncentral chi-square distribution is commonly used to describe the behavior of the likelihood ratio (LR) statistic under alternative hypothesis. Due to the inaccessibility of the rather technical literature for the distribution of the LR statistic, it is widely believed that 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…

This report focuses on the performance of fourth-and eighth-grade students in Puerto Rico in various mathematics content areas on the 2005 National Assessment of Educational Progress (NAEP) in mathematics. The NAEP mathematics assessment was administered to public school students in Puerto Rico for the first time in 2003. Although NAEP had…

Computer Algebra Systems (CAS) are increasing components of university-level mathematics education. However, little is known about the extent of CAS use and the factors influencing its integration into university curricula. Pre-university level studies suggest that beyond the availability of technology, teachers' conceptions and cultural elements…

This report presents results of the 2011 National Assessment of Educational Progress (NAEP) in mathematics at grades 4 and 8. Nationally representative samples of 209,000 fourth-graders and 175,200 eighth-graders participated in the 2011 National Assessment of Educational Progress (NAEP) in mathematics. At each grade, students responded to…

The What Works Clearinghouse (WWC) reviewed interventions to promote middle school students' math knowledge and skills. Because there is some variation in how school districts organize middle school, we considered curricula aimed at students in grades 6 through 9, covering one or more of the following content areas: numbers and operations,…

The "Connected Mathematics Project" is a problem-centered mathematics curriculum designed to help students in grades 6 to 8 develop mathematical knowledge, understanding, and skills. It contains eight student units for each grade level and covers five content strands: number and operations, geometry, measurement, data analysis and…

Virtually every public issue depends on data, projections, inferences, and systemic thinking. Besides basic mathematics skills, numeracy (quantitative literacy) encompasses estimating tolerances and errors, constructing complex computer simulations, using flowcharts, drawing inferences, and calculating in three dimensions. The narrow…

This report describes the development of a new tool for assessment research in graduate education. The tool, the Algebra Assessment System, is based on GIDE, a pre-existing program that diagnostically analyzes complex constructed responses to algebra word problems. The project had three goals. The first goal was to build a generically usable…