The apprenticeship model can be adapted to teaching and learning cognitive skills in reading, writing, and mathematics, as illustrated by three successful examples. A cognitive apprenticeship framework is presented for the design of learning environments incorporating content taught, pedagogical methods, sequencing of learning activities, and…

This study examined the hypothesis that prior experience with augmented-quotient problems would positively influence performance on remainder-only problems and quotient-only problems. Analysis of sixth through eighth grade students' (n=545) responses to test forms that systematically varied the order of appearance of these three division problems,…

This article uses a cognitive problem-solving model to explore the application of hypermedia authoring software to mathematics in general and to mathematical problem solving in particular. Hypermedia is presented as a method of exploring alternative solution processes to remediate or prevent learning problems. (JDD)

A design studio for instructional leadership required educational administration students to apply content knowledge acquired in their traditional preparation courses to school problems and defend their proposed actions. Results reveal some outcomes of changes in course structures grounded in cognitive theories of adult learning and action. More…

The diagnostic discourse of medical students and physicians in thinking-aloud protocols on paper cases was analyzed for evidence of semantic structure. Results show that structural semantics can be used to distinguish various levels of mental processing among novices as well as between novices and professionals. (MSE)

Music educators are particularly keen to offer learning opportunities that enhance creativity. How this happens remains something of a mystery. Within an international context, this article reports on a study that used a cross-cultural perspective on creative thinking with a particular focus on examining the link between problem-solving and…

Well-designed problems are crucial for the success of problem-based learning (PBL). Previous discussions about designing problems for PBL have been rather general and inadequate in guiding educators and practitioners to design effective PBL problems. This paper introduces the 3C3R PBL problem design model as a conceptual framework for…

The new medium of computer-aided design requires changes to the creative problem-solving methodologies typically employed in the development of new visual designs. Most theoretical models of creative problem-solving suggest a linear progression from preparation and incubation to some type of evaluative study of the "inspiration." These…

An administrator's daily life is full of decisions that often involve an "on the spot" solution. This paper discusses some of the principles involved in drawing inferences in research and decision making, and describes how a knowledge of decision-making errors can help administrators. The paper also describes a case study that…

A pilot study was conducted to examine the information with respect to the modes, referents, and relationships that a given teacher acquires through the examination of her students' written responses to open-ended tasks and how the teacher uses this information. The participating teacher taught sixth grade in a public elementary school in a…

Recent advances in artificial intelligence and the cognitive sciences have made it possible to develop successful intelligent computer-aided instructional systems for technical and scientific training. In addition, computer-aided design (CAD) environments that support the rapid development of such computer-based instruction have also been recently…

Metacognition is considered by most educationists to be an element necessary for many cognitive learning tasks. In general, within problem solving tasks, procedural, factual, and conceptual knowledge, by themselves, are insufficient for successful task completion. To be successful, the problem solver must usually demonstrate higher level cognitive…

This study examined cognitive processes and outcomes associated with student knowledge base development. Sixty-nine students from two grade 8 classes were randomly assigned to one of three groups: a knowledge base development (KBD) group, a problem-solving software group, and a control group. Those in the KBD group received relevant instruction…

This paper reports a study to address two questions concerning children's understanding of average: How do children construct and interpret representativeness within the context of data sets? and How do children think about the mean as a particular mathematical definition and relationship? Twenty-one students (seven each of 4th, 6th, and 8th…

This paper discusses the competency space approach to diagnosing misconceptions, skill, and knowledge acquisition. In some approaches that combine misconceptions, skill, and knowledge acquisition, the latent ability theta is used more or less as an insignificant element, but in the competency space approach, a multidimensional latent space is…