This case is part of a teaching experiment that sought to provide insight into how the use of mathematics technology affects the internal mathematical representations possessed by adult developmental mathematics students. Sequences of dot patterns were examined and analyzed by the participant. He then used the algebraic features of a dynamic,…

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…

Adult developmental mathematics students often work under great pressure to complete the mathematics sequences designed to help them achieve success (Bryk & Treisman, 2010). Results of a teaching experiment demonstrate how the ability to reason can be impeded by flaws in students' mental representations of mathematics. The earnestness of the…

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…

With the rise of nontraditional students at the college level, nontraditional course formats have been added to address student need. These alternate course formats include online, weekend, short-term, and computer assisted instruction courses. The purpose of this study was to look at the effect of these alternate course formats on student…

In adult education, algebraic thinking can be a sense-making tool that introduces coherence among mathematical concepts for those who previously have had trouble learning math. Further, a modeling approach to algebra connects mathematics and the real world, demonstrating the usefulness of math to those who have seen it as just an academic…

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…

"Focus on Basics" is a publication of the US Division of World Education, Inc. It presents best practices, current research on adult learning and literacy, and how research is used by adult basic education teachers, counselors, program administrators, and policymakers. "Focus on Basics" is dedicated to connecting research with…

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…

College students enrolled in developmental mathematics and elementary algebra courses typically make the same mistakes repeatedly. Moreover, the same mistakes are made every semester, regardless of the students involved. Lev Vygotsky's concept of fossilization, which refers to the phenomenon of learning being lost over time and only behaviors…

This book contains 22 papers that are designed to situate research and practice in adults learning mathematics within the wider field of lifelong learning and lifelong education. The following papers are included: "Introduction" (Diana Coben, Gail E. FitzSimons, John O'Donoghue); "Review of Research on Adults Learning…

The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…