This research study examined inclusive teaching practices, class policies, and course structures in active learning Calculus classes. Analyzing interview data, along with focus group discussions and classroom observations, obtained from 23 students and 4 instructors, themes were extracted through open-coding methodology, employing scholarly…

According to the MAA Instructional Practices Guide, deep learning requires student engagement with content both inside and outside the classroom. Hence, mathematics instructors must work to engage students in the learning experience. Higher education research often equates engaged learning and active learning, but what does engaged learning mean…

The typical trigonometry, precalculus, or calculus student might not agree that logarithms are hot stuff, but we drew motivation from chili peppers to help students get a better taste for logarithms. The Scoville scale, which ranges from 0 to 16,000,000, has been the sole quantitative metric to measure the pungency (spiciness) of peppers since its…

A study conducted by the Mathematical Association of America showed that calculus not only has significant effects on students' decision to pursue STEM fields, but also on their attitudes towards mathematics. Inspired by this large-scale study, the present study sought to deepen the current understanding of the impact of calculus on student…

A study was done at a mid-sized public university in the Midwest of the United States. At this university, there are three large classes taught in Student-Centered Active Learning Environment with Upside-down Pedagogies (SCALE-UP) classrooms: algebra-based introductory physics, calculus-based introductory physics, and introductory statistics.…

Although modeling is an integral process in applied mathematics, students rarely encounter modeling opportunities in their calculus courses. We introduce a laboratory experience as a starting point for calculus students to investigate multivariable functions. A layered system of coffee and milk serves as a physical model for temperature gradients…

This paper presents a case study for strategic engagement of students in a Calculus course in order to produce increased learning in the classroom. Since it has been shown that active learning can promote greater comprehension for students in science, technology, engineering, and mathematics (STEM) courses, the researcher utilized many types of…

Student perceptions on teaching and learning are investigated in a side-to-side comparison between traditional (closed, CER) non-free course materials and free open educational resources (OER). The primary resources being compared are textbook and automatically-graded web-based homework systems. The results are based on a 32 item survey given to…

We present a short, inquiry-based learning course on concepts and methods underlying ordinary least squares (OLS), least absolute deviation (LAD), and quantile regression (QR). Students investigate squared, absolute, and weighted absolute distance functions (metrics) as location measures. Using differential calculus and properties of convex…

The need to incorporate active learning (AL) in higher education has become a prominent issue discussed by major leadership organizations such as the Conference Board of Mathematical Sciences (CBMS, 2016). These calls for AL are based on a large and growing body of research documenting the correlation between AL use and reduced failure rates,…

This paper describes the development of a program of project-based learning in Calculus courses at a large urban research university. In this program, students developed research projects in consultation with a faculty advisor in their major, and supervised by their calculus instructors. Students wrote up their projects in a prescribed format…

Research indicates multi-section coordination improves the academic performance of students in STEM education. This paper describes the process of coordination in Precalculus, Calculus 1, and Calculus 2 courses undertaken by a large department that grew from the merger of two institutions through a pilot program and a project grant. Components…

My goal in crafting homework in calculus is twofold: to provide scaffolding for students to develop a theoretical understanding of calculus concepts and to incorporate good mathematical exposition, including justification and proof when appropriate. I achieve these goals by creating weekly homework sets that students work on in groups of three or…

This study explored student agency in an active-learning business calculus course. The lecture-style instructional practices typically used in this course at this institution allow few opportunities for students to interact with their peers, interface with the instructor one-on-one, or do mathematics during class time. Additionally, this course…

It is well documented that the use of active learning strategies increases student learning (Freeman et al., 2014; Prince, 2004; Springer, Stanne, & Donovan, 1999). A key difficulty in innovating college mathematics is identifying and sustaining what works for both students and the faculty. This study discusses efforts to innovate and sustain…