Although decades of mathematics education reform supports using effective classroom discourse to increase students' learning of mathematics, research about what mathematics students learn in such classrooms is less developed. Moreover, how teachers actually facilitate classroom discourse and navigate through unpredictable terrain to develop…

This article provides an initial comparison of the Principles and Standards for School Mathematics and the Common Core State Standards for Mathematics by examining the fundamental notion of slope. Each set of standards is analyzed using eleven previously identified conceptualizations of slope. Both sets of standards emphasize Functional Property,…

Computational estimation is an important skill necessary for students' mathematical development. Students who can estimate well for computations rely on an understanding of many mathematical topics, including a strong number sense, which facilitates understanding the mathematical operations and contextual evidence within a problem. In turn,…

Providing students in urban settings with quality teachers is important for student achievement. This study examined the differences in content knowledge, attitudes toward mathematics, and teacher efficacy among several different types of alternatively certified teachers in a sample from the New York City Teaching Fellows program in order to…

In this article, we present episodes from two qualitative research studies. The studies focus on students of different ages and populations and their work on different mathematical tasks. We examine the commonalities in environment, tools, and teacher-student interactions that are key influences on the positive dispositions engendered in the…

The purpose of this current study was to investigate the reasoning stages of in-service middle and high school mathematics teachers in geometry. There was a total of 148 in-service middle and high school mathematics teachers involved in the study. Participants' geometric reasoning stages were determined through a multiple-choice geometry test. The…

Females, students of color, and students of low socioeconomic status (SES) are often underserved or marginalized in mathematics education. However, some instructional approaches and intervention programs have been shown to educate these students more equitably. This study examines how girls of diverse racial/ethnic and socioeconomic backgrounds…

In recent years professional developers have reached a consensus about what constitutes effective professional development, referred to in the literature as "learner-centered professional development." InterMath is a professional development project that was developed to address the recommendations for high quality professional development for…

This paper articulates a perspective on learning to discuss ways in which students develop personal sense and negotiate meaning in a middle school algebra context. Building on a sociocultural perspective that incorporates mental objects, learning is described as a mutually dependent process involving personal sense making and the public…