This paper critically examines the discrepancies among the pre-requisite fractional concepts assumed by a curricular unit on operations with fractions, the teacher's assumptions about those concepts and a particular student's understanding of fractions. The paper focuses on the case of one student (Tim) in the teacher's 6th grade class who was…

While very young children's understanding of objects as symbols for other entities has been the focus of much investigation, very little is known concerning the emergence of comprehension for symbolic relations among actions modeled with toy replicas and their real counterparts. We used videotaped depictions of real actions in a preferential…

Arguing against a concept of learning as only a formal process occurring in explicitly educational settings like schools, the paper proposes a conception of the workplace as a learning environment focusing on the interaction between the affordances and constraints of the social setting, on the one hand, and the agency and biography of the…

Young learners need activities that engage them mentally and physically in processing new information. It is easy to accept such ideas intuitively, but matching the curriculum content to meaningful activities is a challenge. The authors believe that following a learning cycle is a satisfactory way to meet that challenge. A learning cycle is a…

If people believe that some property is true of all members of a class such as sofas, then they should also believe that the same property is true of all members of a conjunctively defined subset of that class such as uncomfortable handmade sofas. A series of experiments demonstrated a failure to observe this constraint, leading to what is termed…

The authors propose new procedures for evaluating direct, indirect, and total effects in multilevel models when all relevant variables are measured at Level 1 and all effects are random. Formulas are provided for the mean and variance of the indirect and total effects and for the sampling variances of the average indirect and total effects.…

In this article, the author seeks to identify and explain the primary rationale for having the field of technology education direct its focus on engineering design. The basis of this proposal stems from a combination of observations made over a 25-year career as a teacher/teacher educator of industrial arts/technology education and a broad-based…

Trouche's [Third Computer Algebra in Mathematics Education Symposiums, Reims, France, June 2003] presentation at the Third Computer Algebra in Mathematics Education Symposium focused on the notions of instrumental genesis and of orchestration: the former concerning the mutual transformation of learner and artefact in the course of constructing…

Students' conceptions and beliefs about learning are constructs that have been proposed in two independent lines of research, phenomenographic and metacognitive, and analysed using qualitative and quantitative methodologies, respectively. The present research examines and integrates in a single study both constructs and methodologies. Data were…

The term "deep map" is the invention of writer William Least Heat-Moon, whose extended essay "PrairyErth (a deep map)" has given definition to this form. Deep-map writing is marked by its intertextual, interdisciplinary, and multivocal nature. It is also self-consciously cartographic, presenting maps, following maps, and redrawing maps. Deep…

Recently, "Developmental Psychology" published 2 articles on the shape bias; both rejected the authors' previous proposals about the role of attentional learning in the development of a shape bias in object name learning. A. Cimpian and E. Markman (2005; see record EJ733667) did so by arguing that the shape bias does not exist but is an…

This paper addresses the difficulty of transferring conceptual knowledge of chemical processes to students, and how it can be aided through the use of analogies. Common everyday observations and objects are used to illustrate how a physical or chemical change takes place. It was found that this approach greatly assisted the understanding of…

This paper provides a comparative account of two conceptualisations of pleasure. The first draws on Foucault's analysis of bio-power. The second provides a phenomenological account where pleasure is viewed as an aspect of our immediate consciousness. These conceptualisations are illuminated through an analysis of employees' accounts of learning at…

The purpose of this study was to report the results of a nationwide survey of Taiwanese high schools students' understandings about electric circuits. The study involved two stratified random samples consisting of 7,145 students in Grades 8 and 9, and 2,857 students in Grade 11, accounting for about 2.3% of the total enrolment in the corresponding…

Two experiments investigating the benefit of computer-based applications in geography education are presented. The computer-based methods employ concepts of visualization, including animation and interactivity, to facilitate active learning. These computer-based methods are compared with physical (i.e. tangible) models, which themselves can be…