Rapid cognitive diagnosis allows measuring current levels of learner domain-specific knowledge in online learning environments. Such measures are required for individualizing instructional support in real time, as students progress through a learning session. This article describes 2 experiments designed to validate a rapid online diagnostic…

Students rarely see closed-form analytical rate equations derived from underlying chemical mechanisms that contain more than a few steps unless restrictive simplifying assumptions (e.g., existence of a rate-determining step) are made. Yet, work published decades ago allows closed-form analytical rate equations to be written quickly and easily for…

This story is a chemical mystery with an emphasis on qualitative analysis, descriptive chemistry, and forensics. It is as well yet another article in the continuing series, first presented by Thomas Waddell and Thomas R. Rybolt, which presents a scientific problem in mystery format in the context of the popular and beloved characters of Sherlock…

Wisdom pertains to managing human affairs, and it arises in highly contextualized situations. The present study aims to investigate manifestations of wisdom in real-life contexts through semi-structured interviews with 66 individuals nominated as wise persons. All nominees were ethnic Chinese from Taiwan, an East Asian country which has…

Objective: Faculty development has increasingly become a focus in medical education. Many models are employed around the United States. The authors present a group model process developed to train new educators to teach our medical students. Methods: The authors met monthly with a diverse faculty over the past 4 years and interacted in a…

The place of the zeroth law in the teaching of thermodynamics is examined in the context of the recent discussion by Gislason and Craig of some problems involving the establishment of thermal equilibrium. The concept of thermal equilibrium is introduced through the zeroth law. The relation between the zeroth law and the second law in the…

This paper studies three models for cognitive diagnosis, each illustrated with an application to fraction subtraction data. The objective of each of these models is to classify examinees according to their mastery of skills assumed to be required for fraction subtraction. We consider the DINA model, the NIDA model, and a new model that extends the…

Lecturers in mathematical modelling courses are always on the lookout for new examples to illustrate the modelling process. A physical phenomenon, documented as early as the nineteenth century, was recalled: when a wineglass "sings", waves are visible on the surface of the wine. These surface waves are used as an exercise in mathematical…

Development of estimation has been ascribed to two sources: (1) a change from logarithmic to linear representations of number and (2) development of general mathematical skills. To test the representational change hypothesis, we gave children and adults a task in which an automatic, linear representation is less adaptive than the logarithmic…

Utopian thinking has captured the human imagination for millennia and has exerted strong influences on societies--in particular, on their socioeconomic, political, and cultural dimensions of societies. Consequently, enhancement of global awareness requires attention to utopian frameworks, especially when those frameworks are influencing the…

At the 2006 National Association of Gifted Children Conference, a panel presentation addressed the importance of providing gifted children with opportunities to take positive social action through service-learning; this article is a result of that discussion. The Future Problem Solving Program (among others) has a community problem-solving…

Being a modern electrical engineer does not only require state of the art skills in areas such as transfer and processing of information, electronics, systems engineering, and biomedical electrical engineering; it also requires generic engineering skills such as oral and written communication, team building, interpersonal skills, and the ability…

Bullying has occurred throughout the generations and in all kinds of societies. Bullying, in the context of children, generally involves one or more larger or older children subjugating a defenseless youngster who is incapable of protecting him/herself. This article focuses on varying measures of dealing with bullies at the early childhood level.…

The micro-time context of group processes (such as argumentation) can affect a group's micro-creativity (new ideas). Eighty high school students worked in groups of four on an algebra problem. Groups with higher mathematics grades showed greater micro-creativity, and both were linked to better problem solving outcomes. Dynamic multilevel analyses…

This article discusses student difficulties in grasping concepts from linear algebra. Using an example from an interview with a student, we propose changes that might positively impact student understanding of concepts within a problem-solving context. In particular, we illustrate barriers to student understanding and suggest technological…