This paper extends work in the areas of quantitative reasoning and covariational reasoning at the undergraduate level. Task-based interviews were used to examine third-semester calculus students' reasoning about partial derivatives in five tasks, two of which are situated in a mathematics context. The other three tasks are situated in real-world…

Although much educational research has investigated the relative effectiveness of different educational interventions and policies, little is known about the absolute net benefits of K-12 schooling independent of growth due to chronological age and out-of-school experience. The nearly universal policy of age tracking in schools makes this a…

The designs, results, and conclusions of several related research studies which examine the role of student preferences in problem-solving strategies are summarized. Emphasis is upon the relationship between an individual's stated preference and his or her ability to implement this preference and successfully solve a related science task. Students…

Research on abstract categorical reasoning has shown that students with "A" grade point averages (GPA) have limited, better and often less, reasoning ability than students with lower GPA's. A similar effect was also found when testing "bright" and "dull" subjects. An analysis of this effect was conducted using the component model of categorical…