This article addresses how metacognitive skills contribute to the teaching and learning of problem solving in mathematics. It describes the development and use of a metacognitive journal activity in the classroom. (Contains 2 figures.)

Finding real-world examples for middle school algebra classes can be difficult but not impossible. As we strive to accomplish teaching our students how to solve and graph equations, we neglect to teach the big ideas of algebra. One of those big ideas is functions. This article gives three examples of functions that are found in Arches National…

In the 1970s, the movement to the metric system (which has still not completely occurred in the United States) and the advent of hand-held calculators led some to speculate that decimal representation of numbers would render fractions obsolete. This provocative proposition stimulated Zalman Usiskin to write "The Future of Fractions" in 1979. He…

Inequalities are considered among the most useful tools of investigation in pure and applied mathematics; yet their didactical aspects have not received much attention in mathematics education research until recently. An important aspect of teaching problem solving at the secondary level deals with the notion of equivalence of algebraic…

This article describes a year-long professional development project involving the integration of problem solving into the third-grade mathematics curriculum and implications for learning and teaching elementary mathematics. (Contains 6 figures.)

The present study explores pupils' constructed definitions of the concept of function in relation to their abilities in dealing with tasks of functions involving different forms of representations and problem solving tasks. A major concern is also to examine the interrelations between these three ways of thinking about or dealing with the concept…

Finding solutions to complex health problems, such as obesity, violence, and climate change, will require radical changes in cross-disciplinary education, research, and practice. The fundamental determinants of health include many interrelated factors such as poverty, culture, education, environment, and government policies. However, traditional…

A cross-curricular structured-probe task-based clinical interview study with 44 pairs of third-year high-school mathematics students, most of whom were high achieving, was conducted to investigate their approaches to a variety of algebra problems. This paper presents results from one problem that involved solving a set of three linear equations of…

The trend in school psychology services is a shift from an emphasis on an assessment-based paradigm to one of consultation problem-solving and behavioral intervention. A critical component of consultation-derived interventions and behavior change is "treatment integrity." Treatment integrity (or fidelity) refers to the extent to which an…

The present analysis describes an analytically simple and systematic approximation procedure for modelling the free diffusive spreading of initially super-Gaussian profiles. The approach is based on a self-similar ansatz for the evolution of the diffusion profile, and the parameter functions involved in the modelling are determined by suitable…

According to the World Disaster Report (Walter, 2004), drought and famine have proven to be the deadliest disasters of the decade worldwide, accounting for at least 275,000 deaths since 1994. This was nearly half the total for all natural disasters. The agricultural sector has been found to experience the largest variety of economic impacts…

Recently, there have been many efforts to use the research techniques developed in the field of physics education research to improve the teaching and learning of quantum mechanics. In particular, part of this research is focusing on misconceptions held by students. For instance, a set of misconceptions is associated with the concept of stationary…

A particle technology design problem incorporating population balance modeling was developed and assigned to senior and first-year graduate students in a Particle Science and Technology course. The problem focused on particle collection, with a pipeline agglomerator, Cyclone, and baghouse comprising the collection system. The problem was developed…

In this article, the author presents five problems that are representative of some of the "movie problems" that he has used on tests in various courses, including reactor design, heat transfer, mass transfer, engineering economics, and fluid mechanics. These problems tend to be open-ended. They can be challenging and can often be worked a variety…

Advances in the biological sciences necessitate the training of chemical engineers to translate these fundamental discoveries into applications that will benefit society. Accordingly, Tulane University revised its core chemical engineering curriculum in 2005 to include a new introductory course in bioengineering and biotechnology for sophomores.…