Describes a study that investigated probabilistic intuitions held by students (N=98) from grade 7 through college through the use of a questionnaire. Of the misconceptions that were investigated, availability was the only one that was stable across age groups. Contains 20 references. (DDR)

Investigates the thinking process underlying students' improper linear reasoning and how this process is affected by their mathematical conceptions, beliefs, and habits. Explores the actual process of problem solving from students falling into the linearity trap and the mechanism behind it. Discusses specific mathematical conceptions, habits, and…

Describes an approach to the teaching of electricity that uses box and AVOW diagrams, novel representations of the properties of the electric circuit that portray current, voltage, resistance, and power. The diagrams were developed as aids in learning, understanding, and problem solving and to promote conceptual change by challenging a number of…

Describes a study that investigates the relationship between secondary students' written responses and the mathematical and cognitive processing used when solving a complex problem. Contains 40 references. (DDR)

Describes an inquiry-based teaching method implemented in an undergraduate exercise physiology laboratory course. Indicates students' strong, positive feelings about the inquiry-based teaching method and shows that inquiry-based learning results in a higher order of learning not typically observed in traditional style classes. This teaching method…

Describes principles for constructing mathematics exercises that challenge students. Presents examples of good problems in differential equations. (MKR)

Reports on an intensive study of problem-solving activity of female students at the senior secondary level. Focuses on both the mathematical processing and the underlying cognitive and metacognitive activities that led to that processing. Concludes that all successful groups displayed a high number of key points where metacognitive decisions could…

Discusses the role of chemical-equation problem solving in helping students predict reaction products. Methods for helping students learn this process must be taught to students and future teachers by using pedagogical skills within the content of chemistry. Emphasizes that solving chemical reactions should involve creative cognition where…

Explores student ability to differentiate and make mappings between quantities in different domains before and after a relevant curricular experience. Contends that conceptual bootstrapping involves a multistepped mapping process that is facilitated through classroom dialog, problem solving, and instruction. (Author/DKM)

Outlines the development of a kinetic study using the enzyme Lactaid to hydrolyze the synthetic substrate of lactose into an undergraduate laboratory experiment. Provides students with experience doing order-of-magnitude estimates. (DDR)

Investigates the effect of mental schemes corresponding to additive and multiplicative situations in the process of interpreting and solving problems. Classifies relative difficulties of problems according to their situations which are considered through a written test administered to pupils in grades 2, 3, and 4. Supports the assumption that…

This paper presents the results of part of an investigation carried out with fourth-level Spanish secondary education students (15 years old), in which we implemented a teaching unit based on problem-solving methodology as an investigation to teach genetics and human inheritance curricular contents. By solving open problems, the students…

Innovation and enterprise depend for their success on the development of new ideas. But from where do new ideas come? How do they arise? Finding solutions to such questions is at the heart of creativity research and the solving of novel problems. Reflection, not only in cognitive processes but also in the non-cognitive ones used in solving novel…

The present study investigates the development of children's ability to make inferences about a peer's mental state. In this study 48 eight-year-old children, 49 ten-year-old children and 44 adults observed and analyzed short video sequences, extracts from a socio-cognitive interaction between two children working on a mathematical task. The…

In this study, a conceptual change model serves as a theoretical underpinning for analyzing what might count as evidence of conceptual change. Theoretical components of the conceptual change model include the status a conception has for learners, and the conceptual ecology of knowledge within which conceptions are believed to survive and have…