We conducted a quantitative analysis to determine how the prerequisite path of students taking calculus I impacts their grade performance. We began by investigating the performance of students that took college algebra and trigonometry versus those that took pre-calculus ahead of their credit-bearing calculus I attempt. We concluded that there was…

Several academic departments have increased their use of active learning to address low student success rates. However, it is unclear whether those implementing active learning have a consistent conceptualization of it. Like other educational terms, the phrase "active learning" is in danger of becoming overused and misunderstood, which…

Cornell University has long offered a Calculus for Life Sciences course. In this case study, we report on how a team of pure mathematicians has modernized both the content and teaching methods of this course. The content went from a standard calculus course with few genuine applications in the life sciences to a course focusing on dynamical…

[This paper is part of the Focused Collection in Investigating and Improving Quantum Education through Research.] The modern physics course is a crucial gateway for physics majors as it provides an introduction to concepts beyond the scope of the K-12 education. This study collected 167 modern physics syllabi from 127 U.S. research-intensive…

Background: Many engineering students fail to proceed through required prerequisite mathematics courses. Since these courses strongly influence engineering student attrition, we should examine to what degree these courses truly serve as prerequisites for following engineering coursework. Purpose/Hypothesis: We examined two research questions:…

In 2011, Sonoma State University developed a STEM first-year experience (supported by NSF STEP grant 1068445) that combines general education requirements in mathematics, biology, and critical thinking. The mathematics content includes topics from precalculus and elementary statistics, with a particular focus on using functions and modeling with…

Student multimodal writing has gained attention in the teaching and learning of mathematics with the anticipation that these assignments will benefit student engagement and learning in a variety of ways. This study investigates students' perceptions of learning in a post-secondary calculus course, which contained four multimodal writing…

Learning Assistants (LAs) are undergraduate peer-tutors who, having successfully passed a particular course, return to assist with teaching that course. Through their work across many STEM courses, LAs have been shown to have positive effects on several student outcomes, but little is known about why LAs' presence in classrooms is positively…

This study explores how the goals and enactment of three tailored calculus courses, referred to as course variations (standard calculus, life sciences calculus, and physics calculus), at the same university impact students' mathematical identity. In this mixed-methods study, we draw on the framework of figured worlds to interpret how students'…

The current study measures the extent to which students' self-regulated learning tactics and learning outcomes change as the result of a deliberate, data-driven improvement in the learning design of mastery-based online learning modules. In the original design, students were required to attempt the assessment once before being allowed to access…

In this paper, we describe the evolution of calculus instruction at a mid-sized, career-oriented, comprehensive public university. Changes in practice, that began with a single faculty member implementing technology as a tool for student inquiry, have spread to other department faculty via support from an internal grant, workshops, and the use of…

Through a multi-year, national calculus study, researchers have recently identified seven characteristics of successful college calculus programs. We identified these seven characteristics by visiting five doctoral-granting mathematics departments with successful calculus programs and uncovering the common traits among them. These seven traits…

The goal of learning analytics is to optimize learning and the environments in which it occurs. Since 2011, when learning analytics was defined as a separate and distinct area of academic inquiry, the literature has identified a need for research that presents evidence of effective learning analytics, as well as, learning analytics research that…

The purpose of this study is to investigate whether or not students' understanding of mathematical content typically covered in calculus courses is enhanced by using the TINspire CAS instead of the TI-89. The study was conducted over two phases at a mid-size university in the northeastern United States in Calculus I and Accelerated Calculus I. In…

In this case study, we use organizational development and change theory to look at how the University of Oklahoma (OU) has attended to the mathematical pathway leading to STEM fields. Using multiple sources of data, we are able to create an informative narrative that provides the particular context of the situation and in-depth picture of the…