This article presents a formative intervention study, called "Learning Lab" that facilitated the collective design of a culturally responsive behavioral support system at an urban middle school in the United States. Learning Lab united parents, teachers, support staff, education leaders, and researchers, specifically those who have been…

Prior research shows that participation within communities of practice shapes children's development of repertoires of practice--ways of engaging in activities within a cultural community. Families are a privileged community for learning because of the extensive time spent together, the intimate nature of family relations, and the importance of…

Gesture is recognized as part of and integral to cognition. The value of gesture for learning is contingent on how it gathers meaning against the ground of other relevant resources in the setting--in short, how the body is laminated onto the surrounding environment. With a focus on lamination, this paper formulates an integrated theory of…

Responsive instruction--or instruction that foregrounds and takes up the disciplinary substance of student thinking--is both a hallmark of recent STEM education reforms and challenging to enact. This kind of instruction may be especially challenging in instructional contexts that mandate or rely on curriculum with set, structured learning…

Eliciting, noticing, and responding to students' sense-making is important for advancing students' understanding and fostering meaningful participation in science. By sense-making, we mean wrestling with ideas, language, experiences, and perspectives in a community to figure out how and why the world works. In the bustle of an elementary…

This paper presents two examples of production-centered, technology-mediated activities in a one-to-one laptop classroom, and examines how those activities supported vastly divergent forms of student agency and participation. As schools turn to large-scale technology programs, such as one-to-one initiatives, to overcome persistent educational and…

This study examined adults' frequent, efficient and adaptive use of direct subtraction (DS) and subtraction by addition (SBA) in mental multi-digit subtraction with the choice/no-choice method. Participants were offered subtractions in one choice condition (choice between DS and SBA) and two no-choice conditions (mandatory use of either DS or…

Proportional reasoning is a key topic both at school and in everyday life. However, students are often misled by their preconceptions regarding proportions. Our hypothesis is that these limitations can be mitigated by working on alternative ways of categorizing situations that enable more adequate inferences. Multiple categorization triggers…

Central elements of adaptive expertise in arithmetic problem solving are flexibility, using multiple strategies, and adaptivity, selecting the optimal strategy. Research shows that the strategies children actually use do not fully reflect the strategies they know: there is hidden potential. In the current study a sample of 147 third graders from…

The number one plays a special role in mathematics because it is the identity element in multiplication and division. The present findings, however, indicate that many middle school students do not demonstrate mathematical flexibility representing one as a fraction. Despite possessing explicit knowledge of fraction forms of one (e.g., 95% of…

Individuals solve arithmetic problems in different ways and the strategies they choose are indicators of advanced competencies such as adaptivity and flexibility, and predict mathematical achievement. Understanding the factors that encourage or hinder the selection of different strategies is therefore important for helping individuals to succeed…

This study explores student flexibility in mathematics by examining the relationship between accuracy and strategy use for solving arithmetic and algebra problems. Core to procedural flexibility is the ability to select and accurately execute the most appropriate strategy for a given problem. Yet the relationship between strategy selection and…

Many studies have used fraction magnitude comparison tasks to assess people's abilities to quickly assess fraction magnitudes. However, since there are multiple ways to compare fractions, it is not clear whether people actually reason about the holistic magnitudes of the fractions in this task and whether they use multiple strategies in a flexible…

Mathematics anxiety hinders students' mathematical achievement already in primary school, but research on its effects beyond whole number knowledge is limited. The main aim of the current study is to examine how state and trait mathematics anxiety relate to performance across five tasks that are relevant for the development of mathematics in…

Maths anxiety is common and refers to feelings of anxiety, fear and other negative emotions and thoughts in individuals when confronted with mathematical tasks or numerical information. Self-report measures of maths anxiety have been created, but the majority are in English and are not culturally relevant to all countries. This study aimed to…