Differential grading occurs when students in courses with the same content and curriculum receive inconsistent grades across teachers, schools, or districts. It may be due to many factors, including differences in teacher grading standards, district grading policies, student behavior, teacher stereotypes, teacher quality, and curriculum adherence.…

We present the most recent steps undertaken to reform the introductory algebra-based course at The George Washington University. The reform sought to help students improve their problem-solving performance. Our pedagogy relies on didactic constructs such as the" GW-ACCESS problem-solving protocol," "instructional sequences" and…

It has long been thought that the United States education system is the great equalizer, lifting less advantaged children out of poverty and improving their chances for success in adulthood. The opportunity for economic and social mobility depends heavily, however, on access to high quality education. Recent research has raised concerns about…

Many African American students have different learning styles than their Caucasian and Asian American counterparts. This distinction makes differentiated instruction a vital teaching strategy, as it allows teachers to tailor curriculum and teaching to meet the needs of individual students, especially those with different learning styles. This…

Research demonstrates that students' success in rigorous middle and high school math courses is positively associated with their admission to college, earnings later in life, and career prospects. The sequential nature of math course-taking, however, can create an opportunity structure that puts certain students at a disadvantage, specifically…

This mixed-method research study sought to investigate the relationship between middle school configuration and the academic achievement of eighth grade students in English Language Arts (ELA) and Algebra 1. The California Content Standards exam scores of 646 elementary middle schools (K-8) and 1,282 traditional middle schools (6-8, 7-8) in…

The U.S. is in the midst of an effort to intensify middle school mathematics curricula by enrolling more 8th graders in Algebra. California is at the forefront of this effort, and in 2008 the state moved to make Algebra the accountability benchmark test for 8th grade mathematics. This paper takes advantage of this unevenly-implemented policy to…

Traditional methods of teaching algebra encourage students to identify algebraic notations and perform procedural computations without comprehending the underlying relationships between the different modes of algebraic representations involving graph, expression and tables. Such approaches might enable students to ace in standardized Mathematics…

For years, researchers and academics have known that American students perform more poorly on average compared to students from some other countries, including India. The usual explanation is that some systematic factor (e.g. knowledge, skill set, test-taking ability, etc.) is responsible for the differences. The current study examines the issue…

This study drew on data from a large, randomized trial of Cognitive Tutor Algebra (CTA) in high-poverty settings to investigate how mathematics curricula and classroom achievement related to teacher reports of time spent on inquiry-based and lecture-based mathematics activities. We found that teachers using the CTA curriculum reported more time on…

The term real world is often used in mathematics education, yet the definition of real-world problems and how to incorporate them in the classroom remains ambiguous. One way real-world connections can be made is through guest speakers. Guest speakers can offer different perspectives and share knowledge about various subject areas, yet the impact…

The purpose of this study was to assess student knowledge of numeric, visual and algebraic representations. A definite gap between arithmetic and algebra has been documented in the research. The researchers' goal was to identify a link between the two. Using four "Guess My Number" problems, seventh and tenth grade students were asked to write…

In this innovative book, two experienced educators present a fresh and engaging approach to mathematics learning in the middle grades with the transition from arithmetic to algebra. The authors provide a collection of balanced, multi-dimensional assessment tasks designed to evaluate students' ability to work with mathematical objects and perform…

We assessed the relationship of level of QualityCore[R] implementation and student achievement in Algebra I. The study is based on 1,291 9th grade students in three large metropolitan school districts who took EXPLORE in the fall and the QualityCore Algebra I end-of-course assessment (EOC) in the spring. During the same period, the students' 41…

This study explores the impact of working with online learning activities of linear growing patterns (CLIPS) on students transitioning into Grade 9. Fifty students were interviewed about their understanding of linear growing patterns. Twenty-five students had participated in a study involving an experimental instructional approach that emphasized…