This study investigates the use of manipulatives by elementary students working on a fraction task. Extending previous work on the role played by the manipulatives in students' activity, we aim at describing how the choices made for the task design disrupt students' activity, creating opportunities to learn. The theoretical underpinnings allow…

In this study we applied a discursive perspective of learning (Sfard, 2008) to a sequence of 21 geometry mini-lessons taught in a fourth grade classroom. From this perspective, learning is defined as changes in mathematical discourse. We first characterize and then compare discourse from the beginning and the end of the mini-lesson sequence. We…

This article highlights the main ideas that underlie the differences in potential pragmatic knowledge constructs students experience when solving problems, between the zone of proximal development (ZPD) and the zone of potential construction (ZPC). This qualitative research is based on a phenomenological approach to finding the meaning of things…

Describes a study at Florida State University that examined how Gagne's learning theory and events of instruction described and supported learning in the cooperative learning environment of a fourth grade classroom. Examples of instructional events and appropriate actions are given, and it is reported that Gagne's theories support cooperative…

Critiques two popular and current perspectives on the nature of understanding in science education, and offers a competing perspective drawing from Dewey, aesthetics, and aesthetic experience. Uses aesthetic understanding as an analytic lens to critique and illuminate the learning of three students studying geology in a fourth-grade classroom.…

The role of reinforcement has long been an issue in learning theory. The effects of reinforcement in learning were investigated under circumstances which made the information necessary for correct performance equally available to reinforced and nonreinforced subjects. Fourth graders (N=36) were given a pre-test of 20 items from the Peabody Picture…

Interviews with fourth graders who had not yet received systematic instruction in U.S. history revealed that these students are interested in the past, concerned about human intentionality and cause-effect relationships, and able to construct coherent narrative accounts of historical events as they understand them. However, they lack an…

A sorting-recall procedure was used to examine the relationship between study and recall organization in reflective and impulsive children at the first and fourth grade levels. Data regarding sorting latencies per trial and the number of trials required to achieve stable sorts were provided by two indirect measures of the deliberateness and ease…

A LEARNING MODEL TO IDENTIFY FACTORS CONTRIBUTING TO THE DIFFICULTY OF A PROBLEM ITEM WAS SUPPORTED EMPIRICALLY, AND INDICATED THAT THE NUMBER OF STEPS REQUIRED TO SOLVE A PROBLEM WAS THE MOST IMPORTANT VARIABLE IN PREDICTING BOTH ERROR PROBABILITY AND RESPONSE LATENCY. THE MODEL, IN ORDER TO ESTABLISH DIFFERENTIAL PREDICTIONS OF DIFFICULTY IN…