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…

When teachers, researchers, and students describe productively responding to moments of failure in the learning process, what might this mean? Blending prior theoretical and empirical research on the relationship between failure and learning, and empirical results from four data sets that are part of a larger design-based research project, we…

This study critically examines how the geopolitical configuration of identities, through the medium of the institutionalized label of "English language learners," can shape and constrain localized experiences for learners. An ethnographic video study was conducted in the context of a mathematics unit ("the transforming recess…

We examine a hypothesis implied by Steffe's constructivist model of children's numerical reasoning: a child's "spontaneous" additive strategy may relate to a foundational form of multiplicative reasoning, termed multiplicative double counting (mDC). To this end, we mix quantitative and qualitative analyses of 31 fourth graders' responses…

This study presents the results of a series of design experiments that aimed to engage twelve fourth-grade students in mathematical activity exploring the volume of right prisms and cylinders as a dynamic sweep of a surface through a height, an approach that is referred to as Dynamic Measurement for Volume (DYME-V). This article describes this…

This paper argues that the terms through which we interpret and work to develop expansive pedagogical practices are overly constrained by the binary of adult-centered versus child-centered education. Analyzing ethnographic data developed over three years in a making/tinkering afterschool program serving Black, Latinx, and Asian American students…

In this study, we explore how cross-linguistic differences can contribute to children's scientific thinking. We compared first and third grade Chinese students' pre-instructional ideas of the earth expressed in clinical interviews with that of their English-speaking and Greek-speaking counterparts (as recorded in the literature). Inspired by a…

Research on collaborative learning has focused on its potential to foster successful problem solving. Less attention, though, has been given to issues of equity. In this article, we investigate how inequity can become amplified and attenuated within collaborative learning through small interactional moves that accumulate to produce broader…

This article reconsiders Case's theory of central conceptual structures (CCS), examining the relation between working memory and the acquisition of quantitative CCS. The lead hypothesis is that the development of working memory capacity shapes the development of quantitative concepts (whole and rational numbers). Study I, with 779 children from…

There is a great need for interrogating the politics of science, technology, engineering, and mathematics (STEM) learning at a global level and for STEM literacies that include robust sociopolitical analysis. This article analyzes neoliberal underpinnings of STEM discourse on an online portal created for pedagogic use with primary and secondary…

This article integrates an ecological approach and design-based research in computer science education research by following the simultaneous development of a computer programming environment and curriculum for elementary school age children over 2-1/2 years. We studied the alignment of the affordances provided by the programming environment and…

Learning progressions have been demarcated by some for science education, or only concerned with levels of sophistication in student thinking as determined by logical analyses of the discipline. We take the stance that learning progressions can be leveraged in mathematics education as a form of curriculum research that advances a linked…

Social skills involved in leadership were examined in a problem-solving activity in which 252 Chinese 5th-graders worked in small groups on a spatial-reasoning puzzle. Results showed that students who engaged in peer-managed small-group discussions of stories prior to problem solving produced significantly better solutions and initiated…

This study developed an analytic framework consisting of four patterns of talk and writing that can support students' engagement in construction and critique: "Talk only," "writing only," "use of talk and writing in sequence," and "use of talk and writing simultaneously." This study aimed to examine how each…

This article reports on students' problem-solving approaches across three representations--number lines, coordinate planes, and function graphs--the axes of which conventional mathematics treats in terms of consistent geometric and numeric coordinations. I consider these representations to be a part of a "hierarchical representational…