By working through well-designed tasks, students can expand their thinking about mathematical ideas and their approaches to solving mathematical problems. They can come to see the value of looking at tasks from different perspectives and of using different representations. This article discusses four tasks that encourage high school students and…

A course in system dynamics has been included in the first year of our university's six-year medical curriculum. System Dynamics is a discipline that facilitates the modelling, simulation and analysis of a wide range of problems in terms of two fundamental concepts viz. rates and levels. Many topics encountered in the medical school curriculum,…

Problem solving is an essential skill for nuclear engineering graduates entering the workforce. Training in qualitative and quantitative aspects of problem solving allows students to conceptualise and execute solutions to complex problems. Solutions to problems in high consequence fields of study such as nuclear engineering require rapid and…

Recently, many educational institutions across the globe have implemented engineering leadership programmes either as a part of a formal engineering curriculum or where leadership development is embedded into separate in-house programmes. This shows the clear intent of these educational institutions to prepare their engineering students for…

As a high school physics teacher, Kim Geddes is constantly searching for new experiences to challenge, motivate, and engage students. Last year, she incorporated ExploraVision into the energy unit of her school's physics curriculum with the help of their media specialist (Elease Franchini). ExploraVision is a competition offered through a…

To counteract disempowerment frequently experienced in education, in 2001 the authors initiated a "Problem Solution Project" (PSP) in the second year a two-year urban certification and Master's program. The PSP, designed to promote empowerment of first-year urban teachers and their students, involves both service learning. In 2004, the authors…

An interesting change has been occurring in the author's middle school mathematics classes. Some students have become creative, free-thinking inventors. If they have had little experience with an operation, they invent strategies of their own. Sometimes these strategies have been well informed and supported by strong mental math skills and a good…

This article presents an activity based on the popular book and movie "The Hunger Games." The activity was designed to engage middle school students in using the mathematics found in the book. This activity provides a meaningful way to connect probability to a work of adolescent literature that related to, was interesting to, and…

In a recent paper by Wilamowsky et al. [6], an intuitive proof of the area of the circle dating back to the twelfth century was presented. They discuss challenges made to this proof and offer simple rebuttals to these challenges. The alternative solution presented by them is simple and elegant and can be explained rather easily to non-mathematics…

Because of the large number of students involved, statewide assessments used throughout the United States are designed to be highly efficient with respect to administration and scoring. This constrains the formats that can be used and consequently limits testing to a subset of competencies typically associated with the education standards being…

Incorporation of mathematics into biology curricula is critical to underscore for undergraduate students the relevance of mathematics to most fields of biology and the usefulness of developing quantitative process skills demanded in modern biology. At our institution, we have made significant changes to better integrate mathematics into the…

We show that in the grounded conducting sphere image problem, all the necessary information about the image charge can be found from a mirror equation and a magnification formula. Then, we propose a method to solve the image problem for an extended charge distribution near a grounded conducting sphere. (Contains 4 figures.)

The one-dimensional finite well is a textbook problem. We propose approximate approaches to obtain the energy levels of the well. The finite well is also encountered in semiconductor heterostructures where the carrier mass inside the well (m[subscript i]) is taken to be distinct from mass outside (m[subscript o]). A relevant parameter is the mass…

Though principals play an important role in setting the vision for a school, and moving their staffs toward that vision, it is increasingly apparent that teachers must take on active decision-making and problem-solving roles. By sharing these responsibilities, schools can tap into the expertise of those most in tune with teaching and learning, and…

This article introduces a unique team approach to planning and positive behavior support. The young person becomes a key participant in solving problems and setting goals for growth. The CLEAR Team Problem Solving model shifts the focus from deficits to strengths and solutions. The goal is to identify how a child's private logic and interpersonal…