The development of math reasoning and 3-d mental rotation skills are intertwined. However, it is currently not understood how these cognitive processes develop and interact longitudinally at the within-person level -- either within or across genders. In this study, 553 students (52% girls) were assessed from fifth to seventh grades on 3-d mental…

Recent federal legislation, such as the "No Child Left Behind Act" of 2001 and the "Education Sciences Reform Act (ESRA)" of 2002, has insisted that educational evaluations use rigorous research designs with quantitative outcome measures. In particular, the Institute of Education Sciences (IES) at the U.S. Department of…

Comparison is a powerful tool that has been shown to improve learning in a variety of domains. In both laboratory studies and small-scale classroom studies, having learners compare and contrast worked examples has been shown to reliably lead to gains in students' knowledge. Comparison is also integral to "best practices" in mathematics…

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 "Eighth Annual Report Card" tracks progress on Boston's goals for educating learners of all ages. The report lays out Boston Opportunity Agenda's current metrics, the baseline that has been established for the future, and the progress to be made over the course of the next five years. This report card contains the most up-to-date…

The "Seventh Annual Report Card" provides the most up-to-date information available on Boston's education pipeline, from kindergarten through college graduation, including measures for school readiness, 3rd-grade reading proficiency, 6th-grade mathematics proficiency, 10th-grade academic proficiency, high school completion, dropout…

This "Sixth Annual Report Card" reflects the progress that is being made throughout Boston's entire education pipeline. More than 77,000 school-age children live in the City of Boston. The vast majority, 93%, attend a school in the Boston Public Schools system, a Boston Charter public school, or a Boston Catholic school. The goal with…

This "Fourth Annual Report Card" marks a new chapter for the Boston Opportunity Agenda. For the first time, the Boston Opportunity Agenda is reporting student outcomes across Boston Public Schools and Catholic and charter schools. This provides a comprehensive baseline view of the education pipeline for the city's K-12 students. The…

This "Third Annual Report Card" looks at improvements in the cradle-to-career educational pipeline, the areas where Boston has made modest progress but still has a great deal of work to do, and the places where observers have failed to see the gains that are needed to ensure that Boston is a city of opportunity for all. This report card…

The "Connected Mathematics Project" ("CMP)" is a problem-centered mathematics curriculum designed for all students in grades 6-8. Each grade level of the curriculum is a full-year program and covers numbers, algebra, geometry/measurement, probability, and statistics. The program seeks to make connections within mathematics,…

Less than one third of American eighth graders score in the two highest performance levels on the grade 8 mathematics test given by the National Assessment of Educational Progress. Only a little over one third of Massachusetts eighth graders score at the two highest performance levels on the state's own grade 8 mathematics test. In 2002, the…