Solving problems in educational settings, as in daily-life scenarios, involves constantly assessing one's own confidence in each considered solution. Metacognitive research has exposed cues that may bias confidence judgments (e.g., familiarity with question terms). Typically, metacognitive research methodologies require examining misleading cues…

This study focuses on computer-based formative assessment for supporting problem solving and reasoning in mathematics. To be able to assist students who find themselves in difficulties, the software suggested descriptions - diagnoses - of the encountered difficulty the students could choose from. Thereafter, the software provided metacognitive and…

A central factor in research guided by the Cognitive Load Theory (CLT) is the mental effort people invest in performing a task. Mental effort is commonly assessed by asking people to report their effort throughout performing, learning, or problem-solving tasks. Although this measurement is considered reliable and valid in CLT research,…

The concept of mathematical problem solving is an important mathematical process in mathematics curricula of education systems worldwide. These math curricula demand that learners are exposed to authentic problems that foster successful problem solving. To attain this very important goal, there must be mathematics teachers well versed in content…

Metacognition can be described as an internal conversation that seeks to answer the questions, "how much do I really know about what I am learning" and, "how am I monitoring what I am learning?" Metacognitive regulation skills are critical to meaningful learning because they facilitate the abilities to recognize the times when…

This article is about Complex Problem Solving (CPS), its history in a variety of research domains (e.g., human problem solving, expertise, decision making, and intelligence), a formal definition and a process theory of CPS applicable to the interdisciplinary field. CPS is portrayed as (a) knowledge acquisition and (b) knowledge application…

This article outlines both specific barriers to teaching and learning creative thinking as well as some possible directions for solutions. Sixteen common barriers such as confusion, powerlessness, and negativity are described along with strategies to dissolve them using such conceptual tools as awareness plans and proactive metathinking.…

This paper describes the problem-solving behaviors of 12 mathematicians as they completed four mathematical tasks. The emergent problem-solving framework draws on the large body of research, as grounded by and modified in response to our close observations of these mathematicians. The resulting "Multidimensional Problem-Solving Framework" has four…

This study investigated junior high school students' use of problem-solving heuristics and metacognitive processes and the relationships that might exist between the students' use of these processes and their cognitive style. Using a computer microworld called "Nimbot" based on the ancient game of Nim, 10 seventh- and eighth-grade…

This paper briefly reviews research on tasks in knowledge-rich domains including developmental studies, work in artificial intelligence, studies of expert/novice problem solving, and information processing analysis of aptitude test tasks that have provided increased understanding of the nature of expertise. Particularly evident is the finding that…

Focuses on the effects of the application of two problem-solving techniques--metacognitive and heuristic--on the achievement of students in the computation of creative mathematics problems. Results indicate that there was a significant difference in the achievement of experimental and control groups. Contains 24 references. (Author/ASK)

Because of the importance of problem-solving skills in mathematics instruction of children with learning disabilities, this article offers guidance on teaching heuristic global strategies, including use of analogy, annotating problems, detail analysis, deletion of details, detail sorting, symbolizing operations, and designating formulas. (DB)

This study, conducted in the Netherlands, examined the effects of a problem-solving program on students' problem-solving and metacognitive skills. The program consisted of four parts involving one or more aspects of problem solving in the content areas of proportions, geometry, numbers, and solving equations and inequalities. The experimental…

Current notions of metacognition merge with the predominant scientific model used in psychology, that of information processing. Metacognition is seen as a control process that governs the action of more elemental cognitive skills. Given the centrality of this notion, it is important that metacognition should be examined in detail. From the point…

Five women university students' representations of their learning were analyzed and related to their on-going adaptations to course demands. Representations involved their goals, working plans and perceptions of difficulties. Qualitative data from students' accounts were tabulated schematically in relation to Duncker's concepts of productive…