Teamwork and problem-solving skills have frequently been identified by business leaders as being key competencies; thus, teaching methods such as problem-based learning and team-based learning have been developed. However, the focus of these methods has been on teaching one skill or the other. A key argument for teaching the skills concurrently is…

A simple mathematical model for the behaviour of how vehicles follow each other along a looped stretch of road is described. The resulting coupled first order differential equations are solved using appropriate matrix techniques and the physical significance of the model is discussed. A number possible classroom exercises are suggested to help…

Relativistic hydrodynamics is essential to our current understanding of nucleus-nucleus collisions at ultrarelativistic energies (current experiments at the Relativistic Heavy Ion Collider, forthcoming experiments at the CERN Large Hadron Collider). This is an introduction to relativistic hydrodynamics for graduate students. It includes a detailed…

Viewing challenging behavior as the result of lagging skills (kids do well if they can) rather than as poor motivation (kids do well if they want to) has significant ramifications for how adults interact with kids with behavioral challenges and try to help them. A wide range of lagging skills can set the stage for challenging behavior. Challenging…

We solve for the motion of an object with initial velocity v[subscript 0] and subject only to the combined drag of forces linear and quadratic in the velocity. This problem was treated briefly by Newton, after he developed a theoretical argument for the quadratic term, which we now know is characteristic of turbulent flow. Linear drag introduces a…

It is interesting to note how technology has changed the way that people communicate with one another. Several of the major historical developments of communication are: (1) language; (2) alphabet; and (3) writing. These early forms of communication enabled humans to go beyond verbal and symbolic communication and on to such technologies as the…

In many mathematical problems, students can feel that the universality of a conjecture or a formula is validated by their experiment and experience. In contrast, students generally do not feel that deductive explanations strengthen their conviction that a conjecture or a formula is true. In order to cope up with students' conviction based only on…

Under the backdrop of the investigation of rational functions and their respective curved asymptotes, the reader is invited to experience the mathematical process alongside the authors and observe the application of the NCTM Process Standards and the use of multiple representations in the investigation and solution of a problem. (Contains 9…

In this paper we will present the methodology and pedagogy of Elementary Mathematical Modeling as a one-semester course in the liberal arts core. We will focus on the elementary models in finance and business. The main mathematical tools in this course are the difference equations and matrix algebra. We also integrate computer technology and…

"Blended learning" is using online tools to communicate, collaborate, and publish, to extend the school day or year and to develop the 21st-century skills students need. With blended learning, teachers can use online tools and resources as part of their daily classroom instruction. Using many of the online tools and resources students already are…

Reading Recovery (RR) is a widely used first grade intervention program for students who are struggling with literacy skills. With its component strategies, teacher training, high degree of fidelity of treatment, specified timeline, and cut-off score defining which students have succeeded, RR fits the problem-solving approach of the…

When the author was brought on as CIO of Westmont College in October 2008, the president, Board of Trustees, and campus environment made it clear that technology needed a major overhaul to meet the college's growing requirements. Also, these changes needed to happen without significantly increasing the IT budget or staff. Marketing Charts…

Many educators share the vision of the Equity Principle--teachers holding high expectations for all students. However, according to National Assessment of Educational Progress (NAEP) reports, minority students continue to lag behind white students in mathematics achievement. Furthermore, the discrepancies are more pronounced on the extended,…

This article offers a personal vision and conceptual design for reimagining specialized science, technology, engineering, and mathematics (STEM) academies designed to nurture "decidedly different" STEM minds and ignite a new generation of global STEM talent, innovation, and entrepreneurial leadership. This design enables students to engage…

The design of a cognitive tool to support problem-solving performance for external representation of knowledge is described. The limitations of conventional knowledge maps are analyzed in proposing the tool. The design principles and specifications are described. This tool is expected to enhance learners problem-solving performance by allowing…