We present an empirical analysis of students' use of partial derivatives in the context of problem solving in upper-division thermodynamics. Task-based individual interviews were conducted with eight middle-division physics students. The interviews involved finding a partial derivative from information presented in a table and a contour plot.…

Mathematical reasoning with algebraic and geometric representations is essential for success in upperdivision and graduate-level physics courses. Complex algebra requires student to fluently move between algebraic and geometric representations. By designing a task for middle-division physics students to translate a geometric representation to…

Representations in physics possess both physical and conceptual aspects that are fundamentally intertwined and can interact to support or hinder sense making and computation. We use distributed cognition and the theory of conceptual blending with material anchors to interpret the roles of conceptual and material features of representations in…

A great deal of prior research has examined the relation between working memory capacity (WMC) and attention control. The current study explored the role of arousal in individual differences in WMC and attention control. Participants performed multiple WMC and attention control tasks. During the attention control tasks participants were…

Incorporating business skills such as problem-solving, public presentations, collaboration, and self-direction into STEM (science, technology, engineering and mathematics) subjects is an excellent way to build students' enthusiasm for these disciplines. When educators add workplace internships to the learning experience, they are well on their way…

This article describes how the Problem of the Week Environment at the Math Forum online mathematics resource allows K-8 preservice teachers who are enrolled in mathematics content problem solving-classes to experience the process of reading, evaluating, and replying to young problem solvers' work with thoughtful comments and effective hints. This…