This article studies the efficacy of ALEKS Preparation, Placement and Learning (PPL) in assessing the likelihood of a student succeeding in a first-semester calculus course. Proctored ALEKS PPL assessments were taken by all students enrolled in Calculus 1 during five semesters in which all students took a tightly coordinated course that included…

The number of undergraduates placing into developmental or "remedial" coursework continues to increase. This rise is concerning because developmental or "remedial" coursework creates barriers for many students. This mixed method study examines a holistic approach to placement. After one-on-one interviews with mathematics…

Texas A&M University-Commerce has implemented supplemental instruction (SI) for Calculus since the fall of 2013. A direct display of the ABC rates from fall 2005 to spring 2021 only presents fluctuation from semester to semester, and one can hardly deduce that the ABC rates are increasing. In this paper, the "moving average"…

To aid departments in growing and supporting the potential of novice instructors, this paper shares a peer-mentoring program that has been implemented at three universities over the last five years for graduate student instructors (GSIs, master, and doctoral) within mathematics departments. This paper provides frameworks, curricular topics,…

Course coordination implies coordination in the design, structure, and teaching of a course to the extent that multiple instructors within a multi-section course have come to a common agreement. The course coordination model within our college's Department of Mathematics is described and discussed. The outcomes experienced as the department moved…

Retaining mathematics majors is a pressing concern in many departments. We examined the pass rates of students across our mathematics major and then analyzed student persistence between math courses along with the underlying data collection required to make these analyses. We found that mathematics majors leaving the major after successfully…

I describe the motivation, structure, implementation, and student feedback of my mastery-based testing (MBT) system with a significant final exam component in Calculus I and II since 2016. Grades for each written assignment, quiz, and exam question were assigned on a Mastery/Progressing/Needs Improvement (M/P/NI) scale. Homework and quizzes could…

Nationwide, many students fail to complete the key mathematics courses that are required for most STEM majors, including Precalculus. This paper describes the rationale, implementation, and impact of the redesign of Precalculus at one regional west coast institution. Prior to the redesign, pass rates in Precalculus were modest (75.8% of all…

In this study, we analyzed student participation and success in a college-level Calculus I course that utilized standards-based grading. By measuring the level to which students participate in this class structure, we were able to use a clustering algorithm that revealed multiple groupings of students that were distinct based on activity…

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…

Math courses graded on homework, tests, and a final examination can result in students putting together enough partial credit to pass the class without gaining a reasonable mastery of the course content. Mastery-based testing can help to address this by allowing the instructor to align course grades with mastery of the learning objectives for the…

In this note, we describe a large-scale transition to an active learning format in first-semester calculus at the University of Florida. Student performance and attitudes are compared across traditional lecture and flipped sections.

In the continual pursuit of classroom learning effectiveness, researchers and educators aim to develop strategies that improve student performance and learning. One such strategy is to create academically homogeneous environments where students are grouped into classes based on their preconceived academic ability. The research team tests this…

In this paper, the authors discuss their experiences with ungrading at a small public university in the U.S. and a large public university in Germany. The courses described are Calculus 1 and a content course for pre-service secondary teachers of mathematics. The professors teach differently: one with lecture, the other with inquiry-based…

This article describes a framework of Standards-Based Grading suitable for use in a variety of mathematics courses. We detail our experience adapting this framework to various courses, ranging from Pre-calculus to Differential Equations, at four different institutions, including both small liberal arts colleges and large universities, and in class…