Jordan canonical form (JCF) is one of the most important, and useful, concepts in linear algebra. Mathematics, physics, biology, science and engineering undergraduates often find the first application of real JCF in the discipline of differential equations (continuous models) to solving systems of differential equations. In this work, we apply…

The COVID-19 pandemic, like past historical events such as the Vietnam War or 9/11, will shape a generation. Mathematics educators can seize this unprecedented opportunity to teach the principles of mathematical modeling in epidemiology. Compartmental epidemiological models, such as the SIR (susceptible-infected-recovered), are widely used by…

This research paper explores the integration of ChatGPT as a tool for interactive learning of numerical methods in a differential equations (DEs) course. DE course is crucial for engineering students to model real-world phenomena. However, many DE courses focus only on analytical solutions and neglect important numerical solutions. To overcome…

Courses on computer programming are included in the curricula of almost all engineering disciplines. We surveyed the research literature and identified the techniques that are commonly used by instructors for teaching these courses. We observed that visual programming and game-based learning can enhance computational thinking and problem-solving…

It has become increasingly important for future business professionals to understand statistical computing methods as data science has gained widespread use in contemporary organizational decision processes in recent years. Used by scores of academics and practitioners in a variety of fields, Monte Carlo simulation is one of the most broadly…

Expressing thoughts and feelings efficiently is fundamental in daily, academic, and professional life. Accordingly, self-efficacy beliefs play pivotal roles in shaping learners' speaking performance through various dimensions. Higher education institutions assume responsibility for boosting students' speaking self-efficacy, thereby contributing to…

Introductory courses in biology often lack sufficient emphasis on quantitative skills and interdisciplinary problem solving, leaving many students unprepared for more advanced biology coursework and hampering their ability to pursue biology research careers. MathBench Biology Modules were created to enhance the quantitative skills of biology…

Quantum computing is a growing field at the intersection of physics and computer science. The goal of this article is to highlight a successfully trialled quantum computing course for high school students between the ages of 15 and 18 years old. This course was designed to bridge the gap between popular science articles and advanced undergraduate…

Early predictors of student success are becoming a key tool in flipped and online courses to ensure that no student is left behind along course activities. However, with an increased interest in this area, it has become hard to keep track of what the state of the art in early success prediction is. Moreover, prior work on early success prediction…

in this paper we focus on the link between the use of dynamic geometry software and student understanding for the solution of systems of linear equations from an instrumental genesis perspective. Three task-based interviews were conducted with an undergraduate linear algebra student majoring in mathematics education and proficient in using dynamic…

The aim of this research is to analyse students' sense-making regarding matrix representation of geometric transformations in a dynamic geometry environment (DGE) within the perspective of semiotic mediation. In particular, the focus is on students' reasoning on the transition from the notion of function to transformation and to matrix…

Increasingly students, particularly those in the social sciences, work with survey data collected through a more complex sampling method than a simple random sample. Failing to understand how to properly approach survey data can lead to inaccurate results. In this article, we describe a series of online data visualization applications and…

In response to calls for improving the quality of DCTs as data-gathering instruments, this study investigates the effectiveness of technology-enhanced discourse completion tasks (TE-DCTs) as a method for eliciting nonverbal speaker data. We used a mobile application to administer four TE-DCTs to native speakers (L1) and intermediate and advanced…

Quantitative literacy is an essential twenty-first century skill that universities are heavily invested in teaching to students. The social sciences play an important role in these efforts because they attract students who might otherwise avoid data and mathematically oriented courses and because they ground quantitative reasoning in political and…

The use of digital exhibitions in two advanced language and culture courses within a liberal arts curriculum provides an innovative pedagogical approach to promoting language learning and critical analysis. This article proposes a pedagogy to incorporate Maker-Centered Learning (MCL), the framework that emerged from a Harvard Graduate School of…