Successful collaborative learning is often conceptualized in terms of convergence, a process through which participants' shared understanding increases. This conceptualization does not capture certain successful collaborative learning processes, especially in the humanities, where multiple perspectives are often celebrated. Such is the context of…

Scholars often define historical reasoning as constructing defensible interpretations of past events. Drawing on critical theory, this article suggests that it also entails consciously framing one's topic of inquiry. The article examines an instructional unit that aimed to foster this expanded view of historiography. Forty students, ages 14-15,…

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…

Learning abstract concepts through concrete examples may promote learning at the cost of inhibiting transfer. The present study investigated one approach to solving this problem: systematically varying superficial features of the examples. Participants learned to solve problems involving a mathematical concept by studying either superficially…

Art-based reading instruction and interventions for elementary and middle school students are growing in popularity despite scant theoretical rationale and empirical research support. This study explored the degree to which painting comprehension processes map onto text comprehension processes in this population. In particular, we used think aloud…

In an experiment, prior to processing instructional explanations N = 75 students received either (a) contrasting cases plus comparison prompts, (b) contrasting cases plus provided comparisons (i.e., model answers to the comparison prompts), or (c) no preparation intervention. We found that the learners with preparation intervention learned more…

This article addresses how we can develop learning environments that establish a need for scientific practices and provide a context for developing content knowledge through practice. It argues that Pickering's (1995) notion of "The Mangle of Practice" informs these efforts by focusing our attention on how resistance, or push-back from…

This study explored whether a month-long instructional intervention in affective evaluation can help struggling high school readers to engage in literary interpretation in ways similar to expert readers' practices. We compared pre- and post-intervention think-aloud protocols from five high school students as they read a literary short story with…

How can children's natural perceptuo-motor skills be harnessed for teaching and learning mathematical structure? We address this question in the case of the integers. Existing research suggests that adult mental representations of integers recruit perceptuo-motor functionalities involving symmetry. Building on these findings, we designed a…

This study, based on observation of 90 fifth-grade mathematics classes in Chinese elementary schools, examined how the task features, high cognitive demand, multiple representations, and multiple solution methods may relate to classroom discourse. Results indicate that high cognitive demand tasks were associated with teachers' use higher order…

A study was conducted to test the hypothesis that instruction with graphically integrated representations of whole and sectional neuroanatomy is especially effective for learning to recognize neural structures in sectional imagery (such as magnetic resonance imaging [MRI]). Neuroanatomy was taught to two groups of participants using computer…

This study investigates whether Virtual Manipulatives (VM) within a Physical Manipulatives (PM)-oriented curriculum affect conceptual understanding of electric circuits and related experimentation processes. A pre-post comparison study randomly assigned 194 undergraduates in an introductory physics course to one of five conditions: three…

Achieving fluency with basic subtraction and add-with-8 or -9 combinations is difficult for primary grade children. A 9-month training experiment entailed evaluating the efficacy of software designed to promote such fluency via guided learning of reasoning strategies. Seventy-five eligible first graders were randomly assigned to one of three…

This research investigated how teachers express links between ideas in speech, gestures, and other modalities in middle school mathematics instruction. We videotaped 18 lessons (3 from each of 6 teachers), and within each, we identified "linking episodes"--segments of discourse in which the teacher connected mathematical ideas. For each…