Background: Current efforts to promote reasoning, problem solving, and discussion are often framed as advancing equity, but scholarship suggests individual students' opportunities to learn can vary considerably in classrooms that attempt to take up these approaches to teaching mathematics. Noticing students' mathematical strengths and positioning…

Accountability mandates linked to state education standards and assessments have largely replaced play in early childhood classrooms. This approach limits educators' opportunities by preventing them from using play as a means of identifying and expanding children's diverse range of competencies. In this ethnographic case study, we explore how…

Educators, researchers, and policy makers recognize that student participation in classroom mathematics conversations, especially explaining one's own thinking and engaging with others' ideas, can promote students' mathematics learning. However, precisely "how" participating in these ways supports learning has not often been examined in…

Research commonly finds that urban teachers bring deficit views about students of color with them into classrooms, and professional development efforts focused on this critical problem have been met with limited success. Therefore, scholars have called for work that integrates content and equity as a way to challenge teachers' deficit views at the…

Understanding how learning environments productively mobilize children's ideas as resources for participation in joint activity is an ongoing focus of research on classroom instruction. We investigated whole-class mathematics conversations in which multiple students participated in ways previous research suggests are consequential for learning. We…

The students in Ms. Moscoso's second-grade class gather on the rug after recess, ready for one of their favorite math warm-ups: Choral Counting. Counting is an important part of doing mathematics throughout the school; students count collections (Schwerdtfeger and Chan 2007) and solve problems using a variety of strategies, many of which are…

Compelling research evidence shows benefits for student learning from explaining one's ideas and engaging with the ideas of others. However, whether certain patterns of group interaction may engender this productive student participation is unknown. Using data from two third grade mathematics classrooms, and over the course of six days during a…

"PK--3" has become a rallying cry among many developmental scientists and educators. A central component of this movement is alignment between preschool and the early elementary grades. Many districts have made policy changes designed to promote continuity in children's educational experiences as they progress from preschool through…

Eliciting, responding to, and advancing students' mathematical thinking all lie at the heart of great teaching. In this article, the authors describe a formative assessment approach that teachers can use to learn more about their students' mathematical thinking and inform their instructional decisions. This assessment approach draws on a widely…

Capturing the breadth and variety of children's understanding is critical if studies of children's mathematical thinking are to inform policy and practice in early childhood education. This article presents an investigation of young children's counting. Detailed coding and analyses of assessment interviews with 476 preschoolers revealed…

Sociocultural perspectives on learning highlight varied conceptions of what it means to know and do mathematics, and in turn what it means to be mathematically competent. This work presents a dynamic conceptualization of competence--what counts as competent mathematical activity is negotiated and constructed within learning environments, and…

In-depth analyses of six elementary mathematics classrooms (with varying student achievement) captured student and teacher interactions and documented the critical role of teacher follow-up in shaping opportunities for low-income students of color to engage in algebraic reasoning. This paper details the efforts of teachers as they, contrary to…

This report examines whether the substance and tone of national political discourse during the first four months of the Trump administration affected U.S. public high school students. Throughout his campaign and in his presidency to date, Donald Trump has addressed a number of "hot-button" topics that call into question the status or…

This case study of a third grade classroom details the ways that competence was jointly constructed by students and the teacher in relation to students' efforts to engage with each other's mathematical ideas. By creating consistent opportunities for students to share and make sense of others' ideas, and by supporting students to take up these…

Educators, researchers, and policy makers increasingly recognize that participation in classroom mathematics discussions, especially engaging with others' ideas, can promote students' mathematics understanding. How teachers can promote students' high-level engagement with others' ideas, and the challenges teachers face when trying to do so, have…