It is a well-documented finding that high school students in schools across the nation, including California, fail to achieve at the proficient level in mathematics, based on standardized test scores. The purpose of this research study was to compare the findings of students taught using traditional instructional methodologies versus cooperative…

The purpose of this study was to investigate if a relationship existed between an at risk high school student's perceived relationship with the Algebra I teacher and the student's academic performance and attendance in Algebra I. A correlational study design was used to investigate this study. One hundred thirty eight students who were…

This current paper uses data collected as part of an efficacy trial funded by a grant from the Institute of Education Sciences (IES) National Center for Education Research (NCER) (See Symposium Justification and Paper #1 for a more complete description of the focus of the broader study). Since participation in the study was voluntary, students…

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…

The study was designed to probe students' thinking about which numerical values can be assigned to algebraic letters. The data from students in Year 7 (n = 533), Year 8 (n = 377) and Year 9 (n = 172) was analysed using response patterns. The data confirmed that each year contained students with two misconceptions; "Different Letter means…

Previous studies have reported on primary children's algebraic thinking and generalising in a range of problem settings but there is little evidence of primary teachers' knowledge of algebraic thinking. In this paper the development in algebraic thinking of one primary teacher who taught a research lesson in a Japanese Lesson Study project…

In the fall of 2009, the National Center on Education and the Economy initiated a series of research programs designed to support the high school reform program, "Excellence for All," based on more than 20 years of research on the school reform programs of the countries with the most successful education programs worldwide. Several…

Distance learning has become increasingly popular among higher learning institutions, and more academic disciplines, such as mathematics, are now being offered at a distance. This experimental study investigated whether an objectivist-based teaching strategy or a constructivist-based teaching strategy yields greater achievement scores for adult…

Performance standards are a powerful way to communicate K-12 student achievement (e.g., proficiency) and are the cornerstone of standards-based reform. As education reform shifts the focus to college and career readiness, approaches for setting performance standards need to be revised. We argue that the focus on assessing student readiness can…

This paper reports results from a written assessment given to 290 third-, fourth-, and fifth-grade students prior to any instructional intervention. We share and discuss students' responses to items addressing their understanding of equation structure and the meaning of the equal sign. We found that many students held an operational conception of…

The middle grades are a critical transition period in students' mathematics trajectories, as students move from arithmetic to the more complex and abstract concepts of algebra. Teachers' and parents' judgments of students' math abilities in these years are important to instructional planning and decision making for teachers, and can advise parents…

Compared to boys, many girls are more aware of a social context in the learning process and perform better when the environment supports frequent interactions and social relationships. For these girls, embodied agents (animated on-screen characters acting as tutors) could afford simulated social interactions in computer-based learning and thereby…

This study compared student engagement and achievement levels between students enrolled in a traditional college algebra lecture course and students enrolled in a "flipped" course. Results showed that students in the flipped class had consistently higher levels of achievement throughout the course than did students in the traditional…

One recommendation for encouraging young women and other underrepresented students in their mathematical studies is to find instructional methods, such as problem-based learning (PBL), that allow them to feel included in the learning process. Using a more relationally centered pedagogy along with more inclusive instructional methods may be a way…

As the United States (U.S.) population continues to change and become racially/ethnically, culturally, linguistically, and economically diverse, so does the population in public schools (Institute of Education Sciences, 2010). Additionally, the number of culturally and linguistically diverse (CLD) students has been overrepresented in the subgroup…