Across the primary and secondary phases, pupils are encouraged to use and apply their knowledge, skills, and understanding of mathematics to solve problems in a variety of forms, ranging from single-stage word problems to the challenge of extended rich tasks. Amongst many others, Cockcroft (1982) emphasised the importance and relevance of…

In redesigning the preclinical curriculum and shifting from a discipline-based approach to an organ system-based approach, faculty at the University of Arizona College of Medicine in Tucson took the opportunity to restructure the sequence of introductory histology content to make it more engaging and relevant. In this article, the author describes…

Parents who love their children sometimes harm them. They harm them by physically or sexually abusing them and by failing to provide the nurturance that children have the right to expect. They neglect and abuse their children because they lack the necessary combination of knowledge, patience, empathy, and problem-solving capabilities. Intervening…

Dimensional analysis, superposition principle, and continuity of electric potential are used to study the electric potential of a uniformly charged square sheet on its plane. It is shown that knowing the electric potential on the diagonal and inside the square sheet is equivalent to knowing it everywhere on the plane of the square sheet. The…

We propose a simple and straightforward method based on Wronskians for the calculation of bound-state energies and wavefunctions of one-dimensional quantum-mechanical problems. We explicitly discuss the asymptotic behaviour of the wavefunction and show that the allowed energies make the divergent part vanish. As illustrative examples we consider…

One of the most important issues in the reorganisation of engineering education is to consider new pedagogical techniques to help students develop skills and an adaptive expertise. This expertise consists of being able to recognise the nature of a problem intuitively, and also recognising recurring patterns in different types of problems. In the…

Mathematics educators frequently extol the virtues of inquiry-based instruction to classroom teachers. Although research suggests that inquiry benefits learners by allowing them to make sense of the mathematics they encounter, particularly through discourse with peers, to assume that all (or even most) teachers successfully create and implement…

In this article, we present a dynamic systems approach to instructional systems design (ISD). The fourth generation of ISD represents the attempt to establish a system that can adapt to individual learning and performance problems/needs while also being able to continuously update itself. It is learning-theory-neutral and takes into account the…

This article is a reflection on an elementary pre-service teacher's intuitive idea offered as a mistaken solution strategy for counting matchsticks. It shows the difficulties in responding to flawed lines of intuitive reasoning arising in the classroom setting. A number of learning environments for teacher professional development are suggested…

In this article, the author looks deeply into the thinking that takes place in the context of bookmaking projects. She argues that there is an additional and perhaps more compelling justification for the inclusion of book arts in the K-12 curriculum. This justification is centered on the learner. Bookmaking is a powerful and holistic means of…

There is concern about the diminishing availability of skilled personnel that can operate in the wide variety of disciplines associated with port operations. Increasing cargo volume, combined with a shrinking workforce, could potentially create alarming situations in the future, hence the motivation to publicize to current students the breadth and…

This article presents a real-world application of proportional reasoning and equation solving. The author describes how students adjust ingredient amounts in a recipe for chocolate ganache. Using this real-world scenario provided students an opportunity to solve a difficult and nonstandard algebra problem, a lot of practice with fractions, a…

This article presents an application of standard undergraduate ODE techniques to a modern engineering problem, that of using a tuned mass damper to control the vibration of a skyscraper. This material can be used in any ODE course in which the students have been familiarized with basic spring-mass models, resonance, and linear systems of ODEs.…

February is a natural time to teach students that love involves more than hearts and candy--it also means giving of oneself. According to Terri Kennamer, a third-grade teacher at West Elementary School in Vestavia Hills, Alabama, it is the responsibility of educators to help students recognize that they are citizens of the world. Children have…

This technology report alerts upper-division undergraduate chemistry faculty and lecturers to the use of Texas Instruments emulators as virtual graphing calculators. These may be used in multimedia lectures to instruct students on the use of their graphing calculators to obtain solutions to complex chemical problems. (Contains 1 figure.)