How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…

Governments and other stakeholders have become increasingly interested in assessing the skills of their adult populations for the purposes of monitoring how well prepared they are for the challenges of the new information world. The current paper provides an overview of the conceptual framework developed for the assessment of problem solving in…

The purpose of this study was to explore patterns of difficulty in 2 domains of mathematical cognition: computation and problem solving. Third graders (n = 924; 47.3% male) were representatively sampled from 89 classrooms; assessed on computation and problem solving; classified as having difficulty with computation, problem solving, both domains,…

While researchers and teachers are still sorting out which programs work best in which circumstances, some basic ideas about thinking can be used by teachers. Suggestions for encouraging thinking in the classroom are offered. (MT)

Similarities between features of incubation in creative problem solving and reminiscence are pointed out and the author suggests that incubation may merely be a special type of reminiscence. Note: For related information, see EC 120 232-238. (CL)

A bibliography on incubation in creative problem solving lists 64 citations arranged alphabetically by author. Entries include title, publisher, and date. Note: For related information, see EC 120 232-237. (CL)

A clinical task-based interview can be seen as a situation where the interviewer-interviewee interaction on a task is regulated by a system of explicit and implicit norms, values, and rules. This paper describes how documenting and mapping triadic interaction among the interviewer, the interviewee, and the knowledge negotiated can be used to…

Speakers routinely gesture with their hands when they talk, and those gestures often convey information not found anywhere in their speech. This information is typically not consciously accessible, yet it provides an early sign that the speaker is ready to learn a particular task (S. Goldin-Meadow, 2003). In this sense, the unwitting gestures that…

Against the background of an adaptation of Cognitive Load Theory to learner-controlled settings we investigated the impact of learner characteristics on information utilization strategies, cognitive load, and learning outcomes in a hypermedia environment. Based on the data of 79 students, five clusters of students were identified according to…

Classroom video excerpts are often used to help preservice and practicing teachers explore students' mathematical ideas. This article describes several types of video clips that the authors have found to be particularly productive for this purpose. The authors also discuss three dimensions that can be used to characterize the student thinking…

This article reports the findings of two studies focused on the personal and professional values of school administrators. Two themes were employed as general organizers for the research: the influence of personal preference and trans-rational principles on the problem solving actions of school administrators and the value conflicts that…

In this note we develop a framework that makes explicit the inherent dynamic structure of certain mathematical definitions by means of the four facets of context-entity-process-object. These facets and their interrelations are then used to capture and interpret specific aspects of student constructions of the concept of solution to first order…

In his 1979 "Human Development" article reprinted in this anniversary issue, James Wertsch presented an approach to genetic analysis of the shifting regulation of problem-solving behavior in early childhood. In my reflections on Wertsch's seminal contribution, I discuss ways that subsequent inquiry built upon ideas he elaborated in the…

This paper has five objectives: (a) to review the scientific background of, and major findings reported in, Medical Problem Solving, now widely recognized as a classic in the field; (b) to compare these results with some of the findings in a recent best-selling collection of case studies; (c) to summarize criticisms of the hypothesis-testing model…

This study aimed at investigating the relations between students' strategic behaviour during problem solving, task performance and domain-specific self-concept. A total of 167 first- and second-graders were individually examined in tasks involving cubes assembly and in academic self-concept in mathematics. Students' cognitive, metacognitive, and…