Tychonov's 1935 solution of the heat equation, exhibiting nontrivial heat fluxes spontaneously appearing along an isolated conducting rod initially held at zero degrees, has intrigued some specialists for almost a century. No doubt those practicing heat engineers who took mathematics seriously were initially relieved to learn that the construction…

A qualitative sugar identification laboratory was adapted from a hands-on experiment to a virtual "choose your own adventure" experience where students select virtual experiments to conduct on samples of known and unknown carbohydrates. Students select positive and negative controls for each qualitative test and compare results from the…

It is often necessary to enrich the teaching environment in order for students to learn optics in depth and to interpret the real optical situations with the information they have learned. In this study, a virtual teaching environment was developed using by Algodoo, a 2D simulation software. An eye model was created in order to explain the…

Probability is generally considered one of the most challenging areas to teach in mathematics education due to its intricate nature. However, the simulation-based teaching method can increase students' accessibility significantly to the probability problems because it enables students to resolve the problems with minimal mathematical skills. By…

The COVID-19 pandemic has led to a new era where applied learning has to go virtual. This hastened the need for students to be equipped with virtual skillsets, including the ability to manage 3-D augmented reality tools for future work. This paper introduces the virtual art platform as a means to prepare students for the new world, which requires…

Drawing on Kucher's (2021) framework on digital game-based learning (DGBL), this paper introduces the development of game-based scenarios in two culturally distinctive and salient heritage sites in Cyprus and Sweden, the Neolithic village of Choirokoitia and the Iron Age Ringfort of Sandby Borg. The aim was to implement Kucher's (2021) five…

Industrial drug discovery teams encompass scientists from multiple specialties and require participants to communicate effectively across disciplinary boundaries. In this paper, we present an undergraduate or graduate classroom simulation of this environment. Over a series of five workshops, student teams of mixed scientific backgrounds perform…

We present noncompetitive adsorption as "particles in a box with one sticky wall." We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE's solution imperfectly fits the simulation's data. This leads to the diffusion partial…

Guided-inquiry experiments are an important tool for helping students develop scientific practices such as hypothesizing and problem solving. In organic chemistry, these types of experiments can help students learn how to connect the theory of the reaction to the observation and data to decide how the reaction is proceeding or if it needs…

In this paper we present two simulations designed with GeoGebra that illustrate dynamically a key concept in Vector Calculus: line integrals of vector fields, along with other associated mathematical properties and applications. Students are not required to know the GeoGebra environment: a user-friendly interface with buttons, functionalities and…

Monte Carlo simulations for uncertainty propagation take as inputs the uncertainty distribution for each variable and an equation for the calculation of a desired quantity. The desired quantity is then calculated by randomly drawing from the specified uncertainty distributions of the input variables. This calculation is then repeated many times…

Intelligent learning environments can be designed to support the development of learners' cognitive skills, strategies, and metacognitive processes as they work on complex decision-making and problem-solving tasks. However, the complexity of the tasks may impede the progress of novice learners. Providing adaptive feedback to learners who face…

The authors present a version of the Diamond-Mortensen-Pissarides model of unemployment that is accessible to undergraduates and preserve the dynamic structure of the original model. The model is solvable in closed form using basic algebra and admits a graphical representation useful for illustrating a variety of comparative statics. They show how…

We describe lessons learned from one-and-a-half decades of global virtual immersion practices in subsistence marketplaces, and explore implications for international business teaching and learning in the post-pandemic world. Global virtual immersion refers to bottom-up learning experiences, typically in contexts much different than what we may be…

Although professional organizations such as the National Council of Teachers of Mathematics (NCTM) continue to push for the role of equity inside of mathematics classrooms, the need for culturally relevant pedagogy (CRP) remains just as necessary today as it has for the last two decades. In this study, the authors share ways in which one…