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…

In this article, we provide a novel view of mathematics learning disability (MLD) by studying a student with an MLD (Dylan) who had compensated so effectively that she was able to major in statistics. We push back on the dominant deficit model used in studies of MLD, and consider issues of access and compensation from a Vygotskian theoretical…

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 study examines epistemic thinking in action in order to shed light on the relation between students' personal epistemologies and their online learning practices. The study is based on observations of the learning behaviors of 6th-grade students (n = 38) during two online inquiry tasks. Data were collected through think-aloud protocols and…

This article focuses on how the representational properties of manipulatives affect the strategies children employ in problem solving. Two studies examined the effect of physical materials on 4-7-year-old children's problem solving strategies in a numerical (i.e., additive composition) task. The first study showed how children not only identified…

This study explores changes in students' strategies as they solve different types of volume problems. Fifth graders were presented with pictures showing 3D objects and a unit cube; they determined how many cubes made up the object and explained their responses. We examined whether children transferred strategies across problem types, varying in…

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 study examined the temporal and dynamic nature of students' self-regulatory processes while learning about the circulatory system with hypermedia. A total of 74 undergraduate students were randomly assigned to 1 of 2 conditions: independent learning or externally assisted learning. Participants in the independent learning condition used a…

A group of 64 Israeli twelfth-grade students of two different ethnic backgrounds participated in an experiment exploring the effects of argumentative design and social identity on the learning of a charged, ethnicity-related historical controversy. Students were divided into two learning conditions: an argumentative-disciplinary condition and a…

To study the role of spatial concepts in science learning, 125 college students with high, medium, or low scores on a horizontality (water-level) spatial task were given information about geological strike and dip using existing educational materials. Participants mapped an outcrop's strike and dip, a rod's orientation, pointed to a distant…

Investigated the manner in which information is acquired from maps. In two experiments, map elements placed more toward the periphery of the map were better learned than internally placed elements. In three experiments, map structure was varied to determine if the previous learning pattern resulted from map structure or learning strategy. Results…

Presents an account of a week of learning and instruction from a high school physics course to provide a context for discussion of the role and demands of teacher inquiry. Argues coordination of student inquiry and traditional content is a matter of discerning and responding to students' particular strengths and needs. (Author/KB)

Explored learning and instruction within a technology-rich, collaborative, participatory learning environment by tracking the emergence of shared understanding and products through student and teacher practices. Found that becoming knowledgeably skillful with respect to a particular practice or concept is a multigenerational process, evolving in…

Presents ongoing research for constructing formal models of learning in rich problem-solving domains. The underlying framework for the research is aimed at integrating models of active, goal-oriented learning processes with theories of problem-solving and cognitive skill development. Indicates that the particular self-explanation and…

Two experiments involved an intelligent tutoring system for the Carnegie Mellon University Lisp Tutor using production system theories of transfer and analogical problem solving. Results suggested that acquisition of cognitive skills is facilitated by high degrees of metacognition, which includes higher level monitoring of states of knowledge,…