The need is often not more resources, but the right resources, delivered when the user needs them. In today's knowledge economy, where job roles and requirements change frequently, resource delivery systems that allow customization of information, functions and contents by users are increasingly needed. Schatz discusses the inherent challenges of…

Two young boys with autism who used the picture exchange communication system were taught to solve problems (improvise) by using descriptors (functions, colors, and shapes) to request desired items for which specific pictures were unavailable. The results of a multiple baseline across descriptors showed that training increased the number of…

This article explores how different proofs of a solution to the Surfer Problem provide answers to the question "Why"?

This article describes a solution, using CAS, to graph theory problem that was presented in the movie "Good Will Hunting."

Project-Based Learning (PBL) connects standards-based content to real-world scenarios through the use of projects to improve student achievement. By engaging students in authentic problems that do not have a predetermined solution, students learn both subject matter and critical 21st-century skills. This "Focus On" addresses what…

This article discusses the 4-H Gateway Academies specifically designed to enhance science, technology, engineering, and math (STEM) skills and knowledge in middle school youth. The innovative summer day camps partnered Project Lead the Way--trained teachers with county 4-H staff from University of Wisconsin-Extension (UW-Extension) Cooperative…

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.)

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…

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…

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…