Group work has been a main activity recommended by mathematics education reform. We aim at describing the patterns of interaction between teachers and students during group work. We ask: How do teachers scaffold group work during a problem-based lesson? We use data from a problem-based lesson taught in six geometry class periods by two teachers…

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…

The purpose of this study was to investigate the type, pattern, and complexity of Internet reading strategies used by seven accomplished high school readers. Individual participants performed an academic Internet reading task with the goal of developing critical questions about their chosen controversial topic. Strategies for Internet reading were…

Master narratives frame students' historical knowledge, possibly hindering access to more historical representations. A detailed analysis of students' historical narratives about the origins of their own nation is presented in terms of four master narrative characteristics related to the historical subject, national identification, the…

People often justify history's place in the curriculum by its relationship to citizenship, yet there is little research to help educators picture how people use historical knowledge for civic purposes. This expert-novice study used the think-aloud method to examine how eight political scientists and eight high school students employed…

Ambitious teaching is a form of teaching that requires a high level of teacher responsiveness to what students do as they actively engage with the subject matter. Thus, a teacher enacting ambitious teaching is often confronted with uncertainties about how to advance students' learning while also building on students' contributions. In…

This study investigated analogical transfer of conceptual structure from a prior-knowledge domain to support learning in a new domain of mathematics: division by fractions. Before a procedural lesson on division by fractions, fifth and sixth graders practiced with a surface analogue (other operations on fractions) or a structural analogue (whole…

An important goal of history education is the development of a chronological frame of reference that can be used to interpret and date historical images and documents. Despite the importance of this contextualization goal, little is known about the knowledge and strategies that allow students to situate information historically. Two studies were…

This article identifies aspects of argumentation in scientific practice that are key for scientific sense-making and articulates how engagement in these aspects happens both inter-mentally (between people) and intra-mentally (an individual's reasoning). Institutionally, peer review exerts critique on new knowledge claims in science and is…

This article explores articles from the "Journal of World History", from 1990 to 2008, to uncover conceptual devices world historians use in their work. The goal is to identify promising devices for improving world history instruction. While teaching world history is viewed as increasingly important, lack of clarity regarding course structures and…

We present a longitudinal study of novice teachers' appropriation, negotiation, and recontextualization of assessment tools and practices. During the four years of the study, we observed and interviewed beginning mathematics and social studies teachers, along with their colleagues, mentors, and supervisors, from their time in a graduate secondary…

In the development of their semantic networks, bilinguals can be influenced by the levels of proficiency they have in their second language (L2) and by the age at which they acquired the language. Two exercises, one in word association and one in forced-choice decision-making, were used to test whether the pattern of relative awareness of thematic…

We present an empirical study that investigated seventh-, ninth-, and eleventh-grade students' understanding of the infinity of numbers in an interval. The participants (n = 549) were asked how many (i.e., a finite or infinite number of numbers) and what type of numbers (i.e., decimals, fractions, or any type) lie between two rational numbers. The…

To test whether epistemically unproblematic ways of thinking and talking about science could be transformed during preservice teacher training, we designed a system of learning activities based on a set of "heuristics for progressive disciplinary discourse" (HPDD). The HPDD outline six design principles of learning environments where the aim is to…

This study demonstrates an existence proof for "productive failure": engaging students in solving complex, ill-structured problems without the provision of support structures can be a productive exercise in failure. In a computer-supported collaborative learning setting, eleventh-grade science students were randomly assigned to one of two…