A standard element of the undergraduate ordinary differential equations course is the topic of separable equations. For instructors of those courses, we present here a series of novel modeling scenarios that prove to be a compelling motivation for the utility of differential equations. Furthermore, the growing complexity of the models leads to the…

The "Brown" decision represents a watershed moment in U.S. history as the remedy served as a guiding light during a pandemic. A pandemic is an epidemic taking place on a scale that spans the globe. A circumstance is not a pandemic merely because it exists in different regions of the world or results in the death of many people; it must…

Definitions of modeling competence in science education do not yet include noncognitive factors. However, noncognitive factors are central to competence and might thus substantially improve our understanding of modeling competence. In this article, we analyze volition during preservice science teachers' engagement with a black-box modeling task…

Purpose: Business model (BM) canvases have been used in educational institutions and business incubators for over a decade to assist students and start-up entrepreneurs in developing their business projects. Given the urgency of tackling sustainability challenges, several tools have emerged to stimulate sustainable business modeling (SBM).…

Students exit calculus with understandings of change that want for conceptual depth and are disconnected from real-world contexts. In this paper, we present a problem that will develop their skills in using "change" concepts for learning differential equations through modelling. The problem comes from a qualitative study of how STEM…

We present an intriguing topic in a mathematical modelling course where Lanchester models are taught to our students. Lanchester models are some of the earliest and most important models used for combat modelling. We describe modelling activities and the use of technology that can be implemented in teaching this topic in this paper.

Since the introduction by Kermack and McKendrick in 1927, the Susceptible-Infected-Recovered (SIR) epidemic model has been a foundational model to comprehend and predict the dynamics of infectious diseases. Almost for a century, the SIR model has been modified and extended to meet the needs of different characteristics of various infectious…

Indirect questioning techniques such as the randomized response technique aim to control social desirability bias in surveys of sensitive topics. To improve upon previous indirect questioning techniques, we propose the new Cheating Detection Triangular Model. Similar to the Cheating Detection Model, it includes a mechanism for detecting…

Anatomy practical classes are an essential part of learning human anatomy. The flipped classroom teaching model has been used in medical education in recent years. However, its precise impacts on anatomical knowledge acquisition and learning outcomes remain controversial. With the development of information technology, new educational tools, such…

Nelson and Nelson (1987) coined the term "intertwingularity" to express the complexity of interrelations between the various facets of human knowledge. This theoretical paper explores the intertwingularity of learning environments by proposing a model for understanding and operationalising the relationship between learning environments…

Problem solving in chemical kinetics poses substantial challenges for university students since it often involves significant use of mathematics as a tool and language, with challenging translations and transitions between chemical phenomena and mathematical representations. In this paper, we present key findings from a study investigating…

This note demonstrates that the widely used Bayesian Information Criterion (BIC) need not be generally viewed as a routinely dependable index for model selection when the bifactor and second-order factor models are examined as rival means for data description and explanation. To this end, we use an empirically relevant setting with…

Background: Districts with federal nutrition programs must have an updated local school wellness policy (LSWP) to promote nutrition, physical activity, and student wellness. This study evaluates factors associated with LSWP quality among low-income districts. Methods: In 2018, we collected LSWPs from websites of 200 randomly selected,…

The 3D stereoscopic technique consists in providing the illusional perception of depth of a given object using two different images mimicking how the right and left eyes capture the object. Both images are slightly different and when overlapped gives a three-dimensional (3D) experience. Considering the limitations for establishing surgical…

This study aimed to explore preservice elementary teachers' use of a bar model as a heuristic for conceptualising relationships between quantities in situations involving ratio and percentages. As a part of a larger project, we focused on two preservice teachers, Maia and Jane, and investigated their solution paths in ratio and percentage problems…