The hanging rope problem is considered. The rope is subject to rotation with the rotation axis being parallel to the rope. Using a continuum model and the basic principles of dynamics, the differential equation governing the motion is derived. The dynamic equilibrium case without vibrational motion is assumed in deriving the equation. The equation…

Simplifying equations via assumptions is integral to the "engineering method." Algebraic scaling helps in teaching the engineering skill of making good assumptions. Algebraic scaling is more than a pedagogical tool. It can create a solution where one was not possible before scaling. Scaling helps in engineering proper design…

In universities worldwide, there has been a movement away from mono-disciplinary towards multi-, inter- and transdisciplinary education, motivated by the notion that complex societal issues call for more than a single disciplinary perspective. To prepare students for a role in addressing these issues, flexibility within educational programs is…

Four variations of the Koch curve are presented. In each case, the similarity dimension, area bounded by the fractal and its initiator, and volume of revolution about the initiator are calculated. A range of classroom exercises are proved to allow students to investigate the fractals further.

While helping proofread a book during my doctoral studies, I came across a chapter that included (among other things) a discussion of a set of problems and tasks involving the building of towers using only two (or three) colours of cubes (Maher & Ahluwali, 2014). Later that year, as I started my tenure track position at the University of…

Strategies are proposed that promote use of an Integrated Applied Mathematics (IAM) approach to enhance teaching of advanced problem-solving and analysis skills. Three scenarios of 1-dimensional transport processes are presented that support using Error Function analyses when considering short time/small penetration depths in finite geometries.…

Anaerobic respiration reactions are of fundamental importance to global biogeochemical cycling of elements. Yet, the idea that cellular respiration can occur not only in the absence of oxygen but also involve the oxidation of inorganic substrates (e.g., AsO[subscript 3 superscript 3-], Fe[superscript 2+], H[subscript 2], H[subscript 2]S,…

In this article, the authors review higher education's evolving role in this nation's democracy. They then describe a new collaboration, the Civic Learning and Democracy Engagement (CLDE) Coalition, which responds educationally to the challenges facing our democracy. The CLDE Coalition aims to (1) reclaim and revitalize higher education's public…

The ability to solve geometric construction problems is justly regarded as an essential component of mathematical culture. The dynamic, general nature of objects provided by dynamic geometry systems allows the development of intuitive methods for solving construction problems. The core mathematical concept underlying this approach is the loci…

Decomposition of organic matter controls the flow of carbon and nutrients in terrestrial and aquatic ecosystems. Several kinetic laws have been proposed to describe decomposition rates, but they neglect adaptation of the microbial decomposer to environmental conditions. Here we formalise decomposition as an optimal control problem by assuming that…

This teaching brief presents a capstone project designed to provide students with a contextual understanding of introductory management accounting theories through hands-on, experiential learning. It also exposes them to cross-disciplinary roles from operations management. Using this capstone approach, students quickly learn to prepare financial…

A campus-wide student-formed consulting community provides an interdisciplinary co-curriculum service-learning opportunity that connects students from various disciplines across a Midwest university to work on sustainability challenges in the local community. Projects include using waste glass in construction materials, cutting carbon footprint by…

Current approaches used by educational institutions to address the problem of student cheating are not working. This is because the discourse of academic integrity that currently dominates is, on its own, inadequate for addressing the problem. We propose that in order for higher education institutions to challenge cheating effectively, they need…

This paper seeks to answer the question: How does the handling of the contradictions that emerge in activities of initial mathematics teacher education contribute to the learning of geometric knowledge when pre-service teachers and the teacher educator solve geometric construction problems with GeoGebra? A dialectical-materialist approach is used…

This report describes a teaching experience with undergraduates to approach, in a simple and practical way, artificial intelligence (AI) and machine learning (ML) -- general-purpose technologies that are highly demanded in any industry today. The article shows how business undergraduates with no prior experience in coding can use AI and ML to…