Combinatorial proofs of binomial identities involve establishing an identity by arguing that each side enumerates a certain set of outcomes. In this paper, we share results from interviews with experienced provers (mathematicians and upper-division undergraduate mathematics students) and examine one particular aspect of combinatorial proof, namely…

Literature shows there is support for adding connection and relevancy in mathematics for students through the use of real-world context and data in mathematical modelling. A teaching unit on mathematical modelling was designed within the context of future affordable housing for the local surrounding area. The teaching unit was implemented, and…

This article presents a general-purpose method for detecting cheating in online courses, which combines anomaly detection and supervised machine learning. Using features that are rooted in psychometrics and learning analytics literature, and capture anomalies in learner behavior and response patterns, we demonstrate that a classifier that is…

This study investigates when and how university students in first-semester introductory calculus interpret multiple representations of the same function. Specifically, it focuses on three tasks. The first task has students give their definitions of 'function sameness', the results of which suggests that many students understand a function as being…

Prior literature has studied the factors that impact CPA exam pass rates. Our study extends this research by examining whether a CPA exam review course is associated with exam pass rates and whether the nature of the course matters. We controlled for several factors that prior studies show are associated with student success on the CPA exam. We…

We designed a sequence of courses for the DataCamp online learning platform that approximates the content of a typical introductory statistics course. We discuss the design and implementation of these courses and illustrate how they can be successfully integrated into a brick-and-mortar class. We reflect on the process of creating content for…

This paper explores results of an online course revision to enhance student learning strategies and interactions. Data was collected from 125 of 167 students enrolled in an entry-level course at a large Midwestern university. Mid-term and end-of-semester surveys indicate that students found strategies such as mini-lectures, Quick Checks, and…

With the rapid development of online learning platforms, learners have more access to various kinds of courses. However, they may find it difficult to make choices due to the massive number of courses. The main contribution of our research is the design of a course recommendation framework which extracts multimodal course features based on deep…

Providing high-quality courses is of utmost importance to drive successful learning. This compels course authors to continuously review their contents to meet learners' needs. However, it is challenging for them to detect the reading barriers that learners face with content, and to identify how their courses can be improved accordingly. In this…

Faculty throughout the world abruptly adapted their instructional delivery approaches via technology during the spring, summer, and fall terms in 2020 due to the COVID-19 virus. While faculty used a variety of modalities to disseminate content, such as recorded lectures and online tests, many students who did not prefer online classes experienced…

Libraries provide invaluable services and supports to members of their communities, including school communities. Those with autism spectrum disorder (ASD) can receive particular benefits from their libraries, including supports in the areas of academics, social skills, communication, technology, literacy, leisure skills, and even employment…

There is limited empirical study that examines effective evaluation pedagogy on evaluation competency outcomes. The purposes of this article are to: (1) identify key course design features critical to integrating real-world projects in a course-based service-learning model; and (2) provide empirical data using mixed-methods evaluation to assess…

In this study, the curricula of undergraduate business schools in Turkey have been examined in terms of course groups, total course numbers and total workload of students. On the examination of the dendogram which is created by using Ward's Hierarchical Agglomerative Clustering Method, it is seen that five clusters emerged at a distance of five…

Early college and dual enrollment initiatives provide students opportunities for college credit courses and increased academic engagement. The purpose of this mixed methods research study was to examine the case of 79 dual-enrolled students in a research methodology course using online surveys and focus groups. Students perceived increased…

An emerging body of research links online credit recovery programs to rising high school graduation rates but does not find comparable increases in student learning. This study follows high school students who engaged in online credit recovery into the labor market to understand the longer-term implications of this growing educational trend. If…