Three participants were trained on 6 target algebra skills and subsequently received a series of 5 instructional interventions (cumulative practice, tiered feedback, feedback plus solution sequence instruction, review practice, and transfer training) in a multiple baseline across skills design. The effects of the interventions on the performance…

Using data from the National Education Longitudinal Study of 1988 (NELS:88), path analytic procedures were performed to test a model of the effects of parent and peer encouragement to take algebra on the mathematics achievement of eighth grade students. The effects of socio-economic status (SES) on middle school algebra course-taking and…

Research has shown that certain ways of teaching can make a difference in whether students learn standards-based content. Many strategies have proven to be effective in teaching literacy, mathematics, science and social studies. These strategies have facilitated blending academic and career/technical subjects to make learning more meaningful for…

In spring 2010, Houghton Mifflin Harcourt (HMH) began planning a pilot of an application for the Apple iPad, "HMH Fuse: Algebra 1," which was then in development. The application was to be piloted in four California school districts during the 2010-2011 school year. HMH contracted with Empirical Education Inc. to conduct a one-year…

Despite the ever-increasing number of online professional development (OPD) programs, relatively few studies have been conducted to examine the efficacy of such programs for teachers and students. This manuscript presents findings from an impact study of OPD courses in fractions, algebraic thinking, and measurement on 79 fifth grade teachers'…

This study evaluates a curriculum policy that required college preparatory coursework for all students, using data from Chicago Public Schools (CPS). Beginning in 1997, CPS ended remedial coursework and required all students to complete a college-preparatory course sequence for graduation. In this study, the authors constrain their analysis to the…

As the importance of mathematics continues to grow in our society, so does the question of how to effectively teach mathematics. Although the claim that teaching does make a difference seems obvious, the question of what makes mathematics teachers effective is not easily answered. Evidence from research shows that students' mathematics learning is…

This study investigated middle school students' conceptual understanding of algebraic equations. Participants in the study--257 sixth- and seventh-grade students--were asked to solve one set of algebraic equations and to generate story problems corresponding with another set of equations. Structural aspects of the equations, including the number…

This study analyzes the learning expectations related to grades 1-8 algebra across several U.S. states and high performing TIMSS Asian countries and regions, including Singapore, Taiwan and Japan. In order to narrow and focus the investigation, only one topic within the strand is carefully reported. Based on the official curriculum documents,…

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…

The constraints of a computer algebra system (CAS) generally induce limitations on its usage. Via the pedagogical features implemented in such a system, "motivating constraints" can appear, encouraging advanced theoretical learning, providing a broader mathematical knowledge and more profound mathematical understanding. We discuss this issue,…