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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)