Newton's second law is one of the cornerstones of the introductory physics curriculum, but it can still trouble a large number of students well after its introduction, hobbling their ability to apply the concept to problem solving and to related concepts, such as momentum, circular motion, and orbits. While there are several possibilities for…

Engineering education focuses chiefly on students' ability to solve problems. While most engineering students are proficient in solving paper questions, they may not be proficient at providing optimal solutions to pragmatic project-based problems that require systematic learning strategy, innovation, problem-solving, and execution. The…

Ratio, rate, and proportion are central ideas in the Common Core State Standards (CCSS) for middle-grades mathematics (CCSSI 2010). These ideas closely connect to themes in earlier grades (pattern building, multiplicative reasoning, rational number concepts) and are the foundation for understanding linear functions as well as many high school…

Symmetry properties of molecules are generally introduced in second-year or third-year-level inorganic or physical chemistry courses. Students generally adapt readily to understanding and applying the operations of rotation (C[subscript n]), reflection (s), and inversion (i). However, the two-step operation of improper rotation-reflection…

Research has consistently shown negative effects of multitasking on tasks such as problem solving. This study was designed to investigate the impact of an incentive when solving problems in a multitasking situation. Incentives have generally been shown to increase problem solving (e.g., Wieth & Burns, 2006), however, it is unclear whether an…

The WHAT'S UP? strategy is a type of interactive writing between a student with social, emotional, and/or behavioral challenges and an adult. The written exchange serves as a technique for involving a student in "talking" about what can be better and engaging the student in a problem-solving process. The strategy encompasses…

This paper reports a comparison of a group of higher-and lower-achieving undergraduate chemistry students, 17 in total, as separated on their ability in stoichiometry. This exploratory study of 17 students investigated parallels and differences in the students' general and domain-specific cognitive abilities. Performance, strategies, and mistakes…

Although one of the presumed aims of graduate training programs is to help students develop into practitioners of their chosen fields, very little is known about how this transition occurs. In the course of studying how graduate students learn to solve organic synthesis problems, we were able to identify some of the key factors in the epistemic…

This article was presented as the 23rd Delphine Hanna Lecture and focused on reflections on leadership roles and qualities of excellent administrators. The three roles of administrators are to manage, solve problems, and develop a vision. Quality leaders know that it is not the message that is delivered, but how the message makes the recipient…

In this article, authors Jordan T. Hede and Jonathan D. Bostic present a classroom activity that challenges upper elementary students' understanding of area beyond a memorized formula and explores the meaning behind students using A = l × w to solve rectangular area problems. This activity will deepen students' understanding of the area…

A challenge: Can you create a stable top from a single paper clip? Several interesting solutions to this problem were provided by Takao Sakai from Japan, the requirement of each being that the center of gravity be located on the vertical y-axis at the center of the top. In the simplest configuration, we see that there exists a single angle ?…

Research documents the negative impact of physical and social environmental barriers on engagement in school, work, and the community for youth with intellectual and /or developmental disabilities (IDD). Project "TEAM" (Teens making Environment and Activity Modifications) was designed to teach youth to systematically identify…

Over 30 years ago the original teaching games for understanding (TGfU) proposition was published in a special edition of the Bulletin of Physical Education (Bunker and Thorpe, 1982). In that time TGfU has attracted significant attention from a theoretical and pedagogical perspective as an improved approach to games and sport teaching in physical…

This article outlines a problem-centered approach to the topic of canonical matrix forms in a second linear algebra course. In this approach, abstract theory, including such topics as eigenvalues, generalized eigenspaces, invariant subspaces, independent subspaces, nilpotency, and cyclic spaces, is developed in response to the patterns discovered…

Proportional reasoning as the capacity to compare situations in relative (multiplicative) rather than absolute (additive) terms is an important outcome of primary school mathematics. Research suggests that students tend to see comparative situations in additive rather than multiplicative terms and this thinking can influence their capacity for…