Successful completion of Algebra I is very important for all students in the United States, because it is a high-stakes, gatekeeper course that determines access to additional mathematics (and many science) courses. However, a substantial proportion of students with historically marginalized identities do not gain access to Algebra I until much…

There is a national movement to universalize the high school curriculum so that all students graduate prepared for college. The present work evaluates a policy in Chicago that ended remedial classes and mandated college preparatory course work for all students. Based on an interrupted time-series cohort design with multiple comparisons, this study…

The Baltimore Algebra Project is a student-run, student-staffed nonprofit that employs public high schoolers and recent graduates as math study group leaders and as organized advocates for quality education as a constitutional right. In this essay Jay Gillen draws on his experiences as a facilitator of the Algebra Project to argue that only a…

This study was conducted to investigate the quality and nature of the students' interactions during asynchronous online problem solving in two sections of College Algebra taught by the author. In a shared-work section, students worked independently for an initial phase and had access to classmates' work during a follow-up phase. Students in the…

This paper reports on the effects the use of a pocket calculator-based computer algebra system (CAS) has on the performance in mathematics of grade 11 students in Germany. A project started at 8 of about one hundred upper secondary schools in the federal state of Thuringia in 1999; 3 years later the former restrictions on the use of technology in…

GRADES OR AGES: No mention. SUBJECT MATTER: Algebra. ORGANIZATION AND PHYSICAL APPEARANCE: The guide is divided into seven separately bound units. Unit headings are introduction, sets of numbers and axioms, open sentences in one variable, systems of linear open sentences, polynomials and factoring, rational numbers and expressions (A), and…

The purpose of this paper is to offer three alternatives to patterns or visualization used to justify division of fraction "algorithm" invert and multiply". The three main approaches are historical, similar denominators and algebraic, that teachers could use to justify the standard algorithm of division of fraction. The historical approach uses…

This article discusses the summability of some divergent series by Cesaro's method of successive arithmetic means. (MM)

The expectation that students be introduced to algebraic ideas at earlier grade levels places an increased burden on the classroom teacher to help students construct and justify generalizations. This study provides insight into the reasoning of 25 sixth-grade students as they approached patterning tasks in which they were required to develop and…