Attention to the pursuit of equity has been a growing priority for mathematics classrooms in the last two and a half decades. While classroom discourse has become a central feature of classrooms that strive toward equity, one continuing concern for classroom researchers in mathematics education involves understanding how and when group…

The purpose of this study is to determine the impact of student success in developmental mathematics classes because of their instructional delivery mode at a North Texas suburban community college. The developmental mathematics courses for this study will include Beginning Algebra, Pre-Algebra and Intermediate Algebra. Classes will be offered…

This study applies the constructs from effective instruction from the literature on teacher education to understand the impact of school district strategies on algebra outcomes for minority students. The purpose of this study was to examine the strategies utilized by superintendents and district personnel and the impact of these identified…

College completion rates in the U.S. are stubbornly low despite the large and rising returns to a college degree. Efforts to increase student success in college have largely ignored a potentially key factor: the instruction that students receive in the sequence of courses that add up to a college education. Improving the quality of instruction may…

In a series of two in vivo experiments, we examine whether correct and incorrect examples with prompts for self-explanation can be effective for improving students' conceptual understanding and procedural skill in Algebra when combined with guided practice. In Experiment 1, students working with the Algebra I Cognitive Tutor were randomly assigned…

In designing learning environments that support student learning, there are many instructional design decisions. These include when and how to provide examples, verbal explanations, feedback, and other scaffolding features. In this paper, the authors investigate instructional guidance as it relates to Cognitive Tutor, an intelligent tutoring…

Many students enter college inadequately prepared to take college-level math courses like College Algebra, and as a consequence must take one or more developmental math courses. It is becoming increasingly common for colleges to offer math courses online, including various developmental math courses including Intermediate Algebra. Many…

Students at a large urban community college enrolled in fourteen sections of a developmental algebra class. While cognitive variables are often used to place students, affective characteristics may also influence their success. To explore the impact of affective variables, students took ACT's Engage survey measuring motivation, academic-related…

This five-year evaluation examined the effectiveness of a promising middle-school mathematics intervention funded through an Investing in Innovation (i3) development grant. Evaluation objectives were to: (1) study the impact of an intervention aimed at increasing the academic achievement of students in Algebra I--a gate-keeping course--as measured…

This investigation utilized the qualitative case study method. Seventy-one College Algebra students were given a mathematical processing instrument. This testing device measured a student's preference for visual thinking. Two students were purposefully selected using the instrument. The visual mathematical learner (VL) was discussed in this…

This article reports on the results of research, the objective of which was to document and analyze the manner in which students relate different representations when solving problems. A total of 20 students attending their first year of university studies took part in the study. In order to design the problem, the underlying information in each…

In this article, the author explores her personal views on mathematics and how she solves problems. She experiences some personal revelations while attending a "Mathsjam". Organised by some of the more prominent names in the popularisation of mathematics, "Mathsjam" was billed as the UK's first Gathering for Gardner, an event…

It is a routine matter for undergraduates to find eigenvalues and eigenvectors of a given matrix. But the converse problem of finding a matrix with prescribed eigenvalues and eigenvectors is rarely discussed in elementary texts on linear algebra. This problem is related to the "spectral" decomposition of a matrix and has important technical…

Much of the neuroimaging research has focused on how mathematical operations are performed. Although this body of research has provided insight for the refinement of pedagogy, there are very few neuroimaging studies on how mathematical operations should be taught. In this article, we describe the teaching of algebra in Singapore schools and the…

Coherence is the core principle underlying standards-based educational reforms. Assessments aligned with content standards are designed to guide instruction and raise achievement. The authors investigate the coherence of standards-based reform's key instruments using the Surveys of Enacted Curriculum. Analyzing 138 standards-assessment pairs…