Counting is an intellectual activity that is usually identified with the assignment of positive whole numbers ("1, 2, 3, 4, ...") in one-to-one correspondence with a collection of items in one's attentional field. Taking into account a broader, "combinatorial" meaning of the term, counting extends far beyond this description.…

We present a free student-facing tool for creating 3D plots and smartphone-based virtual reality (VR) visualizations for STEM courses. Visualizations are created through an in-browser interface using simple plotting commands. Then QR codes are generated, which can be interpreted with a free smartphone app, requiring only an inexpensive Google…

As COVID-19 continues to impact various business sectors, university administrators have steadily pushed for all academic units to resume on campus operations and activities; conversely, faculty and students have expressed increased interest in continuing online teaching/learning. We aim to mitigate this "tug-of-war" between…

In this work, we studied the use of open education resources (OER) in the form of online modules combined with an open textbook as it relates to student performance and perceptions in a Linear Algebra course. In this approach, we compared student performance and perceptions from three sections of this intermediate level mathematics course. One was…

Community colleges continue to operate in a society of accountability and efficiencies. Throughout the country, states have implemented performance-based funding and completion agendas while also tightening or restricting funding for higher education. The state of Ohio has implemented one of the boldest performance funding plans in the country…

Quantway is a Carnegie Math Pathways initiative which redesigns the content, pedagogy, and structure of traditional developmental math courses to simultaneously tackle traditional barriers of student success and support a broader range of developmental students in achieving their math potential. Specifically, Quantway is a quantitative reasoning…

We present a study of classroom voting in linear algebra, in which the instructors posed multiple-choice questions to the class and then allowed a few minutes for consideration and small-group discussion. After each student in the class voted on the correct answer using a classroom response system, a set of clickers, the instructor then guided a…

The purpose of this study is to determine whether educators believe mathematics should be taught to liberal arts students, what topics are taught in liberal arts mathematics courses, and what the motivation is for teaching such topics. The study consists of two parts, a review of the opinions of educators regarding liberal arts mathematics, and a…

The purpose of this study was to determine if the use of a graphical teaching and learning approach via the graphing calculator enhances students' understanding of the formal definition of limit. College students in six sections of Calculus I participated by completing a test prior to the introduction of the definition, and completing a second…

States are increasingly focusing the mission of their elementary and secondary education systems on preparing all students for success in postsecondary education and 21st century careers. As standards have increased, so too have graduation requirements. Today, 20 states and the District of Columbia have adopted such high school graduation…

This article reports research involving collaboration between a developmental studies department and a mathematics department in an effort to increase the academic success of developmental students who transition into college-level math. Three separate projects were conducted with former developmental math students currently enrolled in an…

An aspect of the long history of the struggle to quantify motion is briefly traced through three extended problem sets suitable for use in first year calculus courses. The sketch culminates with an application of simple mathematics to one of the most current problems in the theory of the universe. (Contains 2 figures.)

In the first decade of the 21st century, the nation, the states, and colleges and universities began to grapple with the challenges of globalization, changing demography, the implications of the digital era, and of a less expansive public sector. Although not a transformative period for higher education, the decade saw significant innovations in…