By describing the motion of a charged particle in the well-known nonuniform field of a current-carrying long straight wire, a variety of teaching/learning opportunities are described: 1) Brief review of a standard problem; 2) Vector analysis; 3) Dimensionless variables; 4) Coupled differential equations; 5) Numerical solutions.

A series of pedagogical problem set exercises are posed that illustrate the principles behind material efficiency green metrics and their application in developing a deeper understanding of reaction and synthesis plan analysis and strategies to optimize them. Rigorous, yet simple, mathematical proofs are given for some of the fundamental concepts,…

Of the eight scientific practices highlighted in "A Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas," the first is for students to develop abilities to ask questions and define problems (NRC 2012). Constructing a range of questions about an object or phenomenon validates not only what students have…

Presents a few examples of not-so-traditional problems that can be very helpful in teaching some particular concepts or approaches in physics. Problem sets include vector addition and vector components, reference frames, and choosing the right approximations. (JRH)

Describes the problem-solving behaviors of experts and novices engaged in solving seven chemical equilibrium problems. Lists 27 behavioral tendencies of successful and unsuccessful problem solvers. Discusses several implications for a problem solving theory, think-aloud techniques, adequacy of the chemistry domain, and chemistry instruction.…

Examined were the relationships between three qualities: students' knowledge of chemical terms, the relationships they recognize between these terms, and their achievement. Used were an explanation test, an achievement test, and a connectivity test. Results indicated knowledge of terms was a necessary, but not sufficient, prerequisite for…

Students' conceptions of the concept of force are discussed. Possible problem formats and exercises are presented. The need for many formats and variations to help students' resolve their conflicting ideas about physics concepts is stressed. (CW)