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R. Epstein – PRIMUS, 2024
In introductory math courses such as precalculus, students often have difficulty with assignments that require explanations or synthesizing knowledge. When students receive low scores on such assignments, instructors often wish to help students understand the material they struggled with. A common strategy is to allow the students to revise and…
Descriptors: Calculus, Curriculum Development, Discussion (Teaching Technique), Group Discussion
Roneet Merkin – PRIMUS, 2024
This paper reports on a novel corequisite design and implementation for College Algebra at Florida International University. The corequisite course uses online, just-in-time, prerequisite assignments delivered on an open-educational platform. Students get help from near-peer learning assistants inside a math emporium environment. The course…
Descriptors: Required Courses, College Mathematics, Algebra, Mathematics Instruction
Michael D. Hicks – PRIMUS, 2024
Analogy has played an important role in developing modern mathematics. However, it is unclear to what extent students are granted opportunities to productively reason by analogy. This article proposes a set of lessons for introducing topics in ring theory that allow students to engage with the process of reasoning by analogy while exploring new…
Descriptors: Mathematics Instruction, Mathematical Logic, Logical Thinking, Algebra
Kirsten Doehler; Laura Taylor – PRIMUS, 2024
A project involving data related to socioeconomic indicators was administered in an introductory statistics course. As part of this project, student groups investigated a data set from the United States Department of Agriculture Food and Nutrition Service website with information on recipients of Supplemental Nutrition Assistance Program (SNAP)…
Descriptors: College Students, Statistics Education, Introductory Courses, Mathematics Education
T. Clark – PRIMUS, 2024
A standard element of the undergraduate ordinary differential equations course is the topic of separable equations. For instructors of those courses, we present here a series of novel modeling scenarios that prove to be a compelling motivation for the utility of differential equations. Furthermore, the growing complexity of the models leads to the…
Descriptors: Mathematics Instruction, Undergraduate Study, College Mathematics, Equations (Mathematics)
Gary A. Olson; Heather Lynn Johnson; Rebecca Robinson; Robert Knurek; Kristin A. Whitmore – PRIMUS, 2024
Inverse and injective functions are topics in most college algebra courses. Yet, current materials and course structures may not afford students' conceptual understanding of these important ideas. We describe how students' work with digital activities, "techtivities," linking two different looking graphs that represent relationships…
Descriptors: College Mathematics, Algebra, Mathematics Instruction, Mathematical Concepts
Ethan Berkove; Ben Galluzzo – PRIMUS, 2024
This curated collection covers a selection of PRIMUS articles published over a roughly 12-year period that focus on modeling and applications. The collection includes sections on individual projects, courses with a significant modeling component, and modeling and applications in extracurricular settings and throughout the curriculum.
Descriptors: Mathematics Education, Undergraduate Study, Mathematical Models, Mathematical Applications
Jenny Cox; Scott Kaschner; Mary Krohn – PRIMUS, 2024
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…
Descriptors: Undergraduate Students, College Faculty, Intervention, Remedial Mathematics
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)
Building a Student-Centered Assessment Community: Motivations, Experiences, Supports, and Challenges
Justin Barhite; Benjamin Braun; Courtney George; Angela Hanson; Hunter Lehmann; Camille Schuetz; Chloe Urbanski Wawrzyniak – PRIMUS, 2024
Over the past three years, a community of faculty and graduate teaching assistants has developed within the University of Kentucky Mathematics department centered around the use and development of student-centered assessment methods. In this article, we discuss the environmental factors that contributed to the growth of this community, our…
Descriptors: Evaluation, Measurement Techniques, Faculty, Teaching Assistants
David Faitelson; Shai Gul; Michal Arieli – PRIMUS, 2024
Exercise is essential for mastering mathematics, but it faces two major hurdles. First, students are often not motivated to do their homework. Second, checking traditional homework is a manual and labor-intensive process that becomes harder to support as the number of students increases. We argue that computer games could alleviate both problems.…
Descriptors: Mathematics Instruction, College Mathematics, Homework, Computer Games
George Ashline; Bret Findley; Mitchell Andrea; Dylan Wawruck – PRIMUS, 2024
We describe the components and implementation of an activity for multivariable calculus featuring applications to the field of chemistry. This activity focuses on the isobaric thermal expansion coefficient found using partial differentiation of the volume of an ideal gas with respect to temperature as pressure is held constant. Broader goals of…
Descriptors: Learning Activities, Mathematics Instruction, Calculus, Chemistry
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
Jordan Kostiuk – PRIMUS, 2024
National studies continue to indicate that the graduating STEM student body is not representative of the diversity of the U.S. population. In addition to, or in the absence of, institutional change, instructors must learn how to implement equity-focused pedagogical changes in order to better support their students. This article describes my…
Descriptors: Reflection, Communication (Thought Transfer), Communication Strategies, Metacognition
Katie Johnson; Allison Dieppa; Jason Elek – PRIMUS, 2024
This article describes the outcomes of a faculty partnership between a math professor and a composition professor to improve the final paper in a research-focused senior capstone math course. Much attention has been paid in recent years to the importance of undergraduate research experiences and how to best create and support such endeavors.…
Descriptors: Interdisciplinary Approach, Partnerships in Education, College Faculty, Writing (Composition)