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Stephanie A. Blanda – PRIMUS, 2024
This article describes the author's experience designing and implementing an inquiry-based learning (IBL) pedagogical approach to an upper-division undergraduate cryptology course. The author shares the course goals and how the IBL style supports their achievement. The article concludes with sample activities -- in-class exercises that touch on…
Descriptors: Technology, Undergraduate Students, Inquiry, Active Learning
C. Beaver – PRIMUS, 2024
In this paper, several research topics are presented that provide productive avenues of exploration for students in an undergraduate cryptography course. The topics are intended for a variety of skill levels and interests. In some cases, a student might be inspired to try to solve the proposed problem or write computer code. Other topics might…
Descriptors: Technology, Coding, Undergraduate Students, Student Projects
Matthew T. Johnson; Brandon Kim; Daniel O'Keefe; Wilson J. González-Espada – PRIMUS, 2024
We investigated the effects of a major revision of the differential and integral calculus curriculum, the primary goal of which was to improve STEM retention. The revamped curriculum has greater emphasis on the power of computing to help visualize patterns and gain insights to better prepare students for STEM majors, and less emphasis on…
Descriptors: STEM Education, Mathematics Education, Curriculum Design, Majors (Students)
Steven Greenstein; Bogdan G. Nita – PRIMUS, 2024
With this paper, we share an activity for the undergraduate mathematics classroom called "The Harp Project" that leverages the aesthetic nature of both the mathematical and the musical arts. This project was conceived as a STEAM/PBL project with the added feature that it was carried out in pieces by an entire class. Anecdotal evidence…
Descriptors: College Mathematics, Mathematics Instruction, Aesthetics, STEM Education
Simic-Muller, Ksenija – PRIMUS, 2023
This manuscript proposes the use of the "I notice, I wonder" routine in college mathematics classrooms to address issues of diversity, equity, and inclusion. Examples are given of prompts that incorporate meaningful conversations about real-world issues affecting our students or about issues of inclusion, access, and representation in…
Descriptors: Inclusion, Access to Education, Mathematics Instruction, Equal Education
Donovan, Elizabeth A.; Wiglesworth, Lesley W. – PRIMUS, 2023
As studies repeatedly show the benefits of students participating in undergraduate research, off-campus research opportunities have become increasingly competitive. In order to provide our students with research experiences, students from Murray State University and Centre College engaged in a year-long cross-institutional undergraduate research…
Descriptors: Student Research, Undergraduate Students, Institutional Cooperation, Mentors
Hubbard, Keith E. – PRIMUS, 2023
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…
Descriptors: Mathematics Education, Majors (Students), Academic Persistence, School Holding Power
Deka, Lipika; Shereen, Peri; Wand, Jeffrey – PRIMUS, 2023
Course-based Undergraduate Research Experiences (CUREs) were originally developed by biologists to answer the call for undergraduate curriculum reform and expose more students to authentic research experiences [Wei and Woodin. 2011. Undergraduate research experiences in biology: Alternatives to the apprenticeship model. "CBE Life Sciences…
Descriptors: Undergraduate Students, Student Research, Mathematics Education, Models
Abrams, William – PRIMUS, 2023
This paper describes a course designed to introduce students to mathematical thinking and a variety of lower level mathematics topics using baseball while satisfying the goals of quantitative reasoning. We give suggestions for sources, topics, techniques, and examples so any mathematics teacher can design such a course to fit their needs. The…
Descriptors: Mathematical Logic, Statistical Analysis, Team Sports, Mathematics Instruction
Voigt, Matthew; Wynn, Lynda; Bjorkman, Katie; Lo, Stanley M. – PRIMUS, 2023
In this paper, we briefly introduce three theoretical frameworks for mathematical identity and why they matter to practitioners teaching undergraduate mathematics courses. These frameworks are narrative identities, communities of practice, and figured worlds. After briefly describing each theory, we provide examples of how each framework can be…
Descriptors: Undergraduate Students, Self Concept, Mathematics Education, College Mathematics
Landi, Amanda K.; Minden, Kaethe – PRIMUS, 2023
In this paper, we assess the pedagogical approaches we employ in our US-based undergraduate mathematics courses during the COVID-19 pandemic. Our goal is to share anecdotal evidence on the use of math journals, oral exams, and learning portfolios in the synchronous online mathematics classroom. We reflect on our experience using artifacts of…
Descriptors: Metacognition, COVID-19, Pandemics, Teaching Methods
Nimtz, Jennifer L. – PRIMUS, 2023
Universities have drawn on an assortment of strategies to address the learning challenges and high attrition rates of developmental mathematics students. One of those strategies has been utilizing computer adaptive instruction (CAI) mathematics software. Reports about the efficacy of CAI vary from glowing to unfavorable. This article presents an…
Descriptors: Mathematics Instruction, College Mathematics, Algebra, Online Courses
Matchett, Andrew – PRIMUS, 2023
This article describes five elementary statistics projects involving the COVID-19 data made available to the public in csv files by the Centers for Disease Control and Prevention. The first project examined data available at the beginning of the COVID surge in New York City in spring, 2020, and used the correlation coefficient to estimate the…
Descriptors: Statistics Education, Student Projects, COVID-19, Pandemics
Yan, Xiaoeheng; Jungic, Veselin – PRIMUS, 2023
The COVID-19 pandemic provided students a rare opportunity to use their mathematical knowledge to make sense of a top-of-mind crisis. Based on a report in a major regional newspaper, we designed tasks that require an understanding of infection rates and an interpretation of a misleading claim made in the newspaper. Our analysis of 91 undergraduate…
Descriptors: COVID-19, Pandemics, Disease Incidence, Calculus
Rabideau, M.; Starnes, A. – PRIMUS, 2023
In this paper, we study how well SAT scores, high school GPA, and undergraduate precalculus grades relate to undergraduate calculus grades at a 4-year private nonprofit university that does not have a placement exam. In addition, we compare the success in calculus of two groups of students, both of whom require two semesters to pass calculus. The…
Descriptors: Predictor Variables, College Entrance Examinations, Grade Point Average, High Schools