The ability of 378 elementary school students (aged 9-12 years) in Israel to extract "lawfulnesses" (invariants) from experience and to react to error by reexamining the problem and finding the error was studied on a self-paced inference task. Results are discussed in terms of postfailure reflectivity and postfailure impulsivity. (SLD)

Presents a study of metacognitive responses of English school children examining four common metacognitive function measures. Discusses the content of each measure, the search for developmental commonality, and statistical relationships. Concludes that no evidence supported a common metacognitive factor or unified construct, although a common…

Presents an activity in which students develop their own theorem involving the relationship between the triangles determined by the squares constructed on the sides of any triangle. Provides a set of four reproducible worksheets, directions on their use, worksheet answers, and suggestions for follow-up activities. (MDH)

Examines problem-solving techniques used by students in French schools by testing 370 children in grades 6-9. Finds a high degree of variability in procedure selection among those tested. Results show the ability to use a standard procedure is sufficient for solving test problems. Recommends stressing cognitive flexibility. (NL)

Outlines 11 rules of critical thinking and offers suggestions of teaching them in biology and environmental science classrooms. (MDH)

Examines mathematics problem solving in a computer software environment using graphical representations of the results of simulations with adolescent students. Discusses the strengths and limitations of inferring goals and plans, the use of verbal protocols, and ways for computer-based learning environments to scaffold acquisition of domain…

The study describes students' patterns of thinking for statistical problems set in two different contexts. Fifteen students representing a wide range of experiences with high school mathematics participated in problem-solving clinical interview sessions. At one point during the interviews, each solved a problem that involved determining the…

This study deals with the demand of a task. A theoretical background shows the difficulty of applying the idea of demand (as established in the literature) to the data. This has been confirmed in the preliminary study of this paper, which deals with the analysis of university examinations. Some factors that affect the demand of a task have been…

Creativity in education often takes the form of concentrated periods of arts-based "light relief" from the rigours of the National Curriculum. In psychology, on the other hand, creativity is often associated with a dramatic moment of "illumination" in solving scientific, mathematical or practical problems. This paper explores a third approach…

This paper examines the idea that particular representations differentially support and enhance different cognitive processes, in particular different types of reasoning. Five case studies were conducted consisting of detailed observations of pairs of middle-school students interacting with a computer-based learning environment. The software…

The purpose of this study was to explore the use of a cognitive computer tool by undergraduate calculus students as they worked cooperatively on mathematical tasks. Specific attention was given to levels of cognitive demand in which the students were engaged as they completed in-class labs with the assistance of MathCAD. Participants were assigned…

Increasingly, national stakeholders express concern that U.S. college graduates cannot adequately solve problems and think critically. As a set of cognitive abilities, critical thinking skills provide students with tangible academic, personal, and professional benefits that may ultimately address these concerns. As an instructional method, writing…

This book provides an introduction to the current scientific understanding of the human brain and its processes. Chapter 1, "At the Edge of a Major Transformation," is an introduction to the field. Chapter 2, "How Our Brain Organizes Itself on the Cellular and Systems Levels," covers what body/brain cellular systems do, how…

The construct validity of algebra word problems for measuring quantitative reasoning was examined, focusing on an analysis of problem attributes and on the analysis of constructed-response solutions. Constructed-response solutions to 20 problems from the Graduate Record Examinations (GRE) General Test were collected from 51 undergraduates.…

LogoWriter was introduced in this study as a tool to teach problem solving and thinking skills to students in Korean schools; teacher-mediated learning was also structured to help students monitor their thinking processes. In the teacher-mediated learning model, the following problem solving strategies were used: decomposing, planning, detecting…