Many students worry about taking and succeeding in the gateway math courses needed to enter most community college degree and certificate programs. Their concern is not surprising given that these courses have traditionally had some of the highest failure and withdrawal rates at community colleges, in many cases disproportionally affecting…

The concept of academic momentum links student enrollment patterns to degree completion whereby patterns of meaningful, consistent collegiate enrollment increase the likelihood of earning a degree. Academic momentum encompasses both a student's trajectory and rate of progress toward a tangible academic outcome with a core assumption that momentum…

This article describes the authors' experiences developing and implementing an innovative curriculum connecting mathematics and the biological sciences. It describes the original plan, the modifications that were necessary, and some advice to readers who might want to develop comparable programs.

This article investigates the implementation of inquiry-oriented instruction in 20 undergraduate mathematics classrooms. In contrast to conventional wisdom that active learning is good for all students, we found gendered performance differences between women and men in the inquiry classes that were not present in a noninquiry comparison sample.…

In this paper we explore the difficulties engineering undergraduates encounter with tertiary mathematics. Results from our survey (N = 71) show that students in our sample face issues mostly related to the challenging nature of university mathematics, the absence of worked examples during lectures and the discontinuity of school and university…

As online education gains popularity among both learners and postsecondary institutions, there is a movement toward identifying ways to promote student success. Over half of all higher education institutions offer online classes, due in part to the ease of offering and scheduling (Hoffman, 2006); educators seek ways to identify any demographic or…

With the implementation of AB 705 in fall 2019, California Community Colleges began to transition to a majority of students' first English and math enrollment starting at transfer level. Research has shown that with the vast increase in access to transfer-level courses, the one-year completion rate of a transfer-level course (i.e., throughput)…

Many undergraduate degrees have a mathematics requirement that students must complete to graduate. Mathematics courses are often access points and can become barriers to student progress. To address this, post-secondary institutions may implement early alert programs to offer a systematic approach to identifying and intervening with students…

University Calculus I courses serve as a means of access into high demand STEM fields and large lecture style passive calculus courses can be difficult for students. A mixed methods research design was used to compare a flipped instructional approach to a traditional lecture approach in large section Calculus I courses. The flipped lecture model…

The purpose of this explanatory, sequential mixed-methods (QUAN [right arrow] qual) study was to investigate undergraduates' attitudes toward mathematics and perceptions of a community of inquiry in the fully online (FO) mathematics learning environment. Specifically, the study aimed to learn more about relationships between undergraduates'…

Practices within research mathematics can and do serve as models for mathematics education. However, typically such inspirations impose a devastating narrowness in relation to reflections on mathematics. This narrowness I refer to as the "banality of mathematical expertise". Reflections on mathematics can be expressed through a…

In this paper, I highlight several facets of personnel issues that can arise during one's time as a mathematics department chair and recommend communication strategies to address them. The strategies involve situations with individual faculty members, general communication with faculty, and communication with the administration.

Ciphers based on rotor machines were the state-of-the-art in the mid-1900s, with arguably the most famous being the German Enigma. We have found that students have great interest in the Enigma and its cryptanalysis, so we created our own rotor cipher that is simulated with shifting tables and can be cryptanalyzed. Ours and the historic rotor…

Despite the increasing amount of research on students' quantitative reasoning at the secondary level, research on students' quantitative reasoning at the undergraduate level is scarce. The present study used task-based interviews to examine 16 high-performing undergraduate calculus students' quantitative reasoning in the context of solving three…

Investigating the transition between educational levels is one of the main themes for the future of mathematics education. In particular, the transition from secondary school to STEM degrees is problematic for the widespread students' difficulties and significant for the implications that it has on students' futures. Knowing and understanding the…