Standards-based grading is a popular form of alternative grading, where students are assessed on how many of the course standards they have met by the end of the semester. While there are many pote...

In this paper, we present a description and discussion of a pedagogical practice designed to support the resolution of an origami-based problem intended to introduce Computational Thinking skills t...

We describe the development, delivery, and results from our novel required mathematics course in a large undergraduate business program. In the course, called Mathematical Analysis in Business, stu...

This study explains in detail the challenge grading system (CGS) and examines its impact on success rates and persistence in asynchronously taught, Calculus II and III at Bellevue College, a four-y...

Calculus 1 pass rates play an important role in the retention of STEM majors. This paper focuses on incremental changes made to a Calculus 1 class at a regional master's granting institution. Chang...

The Collaborative Flipped Learning (CFL) method has been developed for teaching large-scale university mathematics courses for engineering students. In this paper, we describe the CFL method and re...

This paper presents a case study where undergraduate non-STEM students, enrolled in a Quantitative Reasoning course, were exposed to a project-based learning (PBL) environment to investigate the pr...

Volume 36, Issue 3 of PRIMUS

Ethics in the Mathematics Classroom. Volume 36, Issue 2 of PRIMUS

This paper discusses the design and implementation of a course called Tools of Inquiry, the goals of which focus on students learning to ask and explore their own mathematical questions and to use ...

Volume 36, Issue 1 of PRIMUS

In this article, we describe the process of developing and implementing a collection of courses designed to allow mathematics students an opportunity to demonstrate proficiency and pass a course th...

This is to report on a physics demonstration in a complex variables course that illustrates the concept of modulus for a doubly connected region in the plane. In a first step, one uses the original...

Course coordination is a common way to offer multi-section courses that accommodate high enrollment demands while maintaining consistent course standards. In such a course, the coordinator's pedago...

This is a case study of a two-semester Extended Calculus course that utilizes standards-based grading. The course integrates Intermediate Algebra, College Algebra, Pre-calculus, and Calculus I, mak...

The teaching and learning of calculus is enhanced by applications to real-world problems. The topic of optimization (finding the maximum or minimum of a function) is a place where many calculus ins...

This article describes the design and implementation of an upper-level undergraduate geometry course at a Canadian university, employing hands-on pedagogy through interactive online workshops. Thes...

To help students develop a more creative and inquisitive mathematical mindset, we present capstone-style explorations on finding roots of hyperbolic numbers, a generalization of the complex numbers...

Utilizing active learning, especially game- based learning, within a mathematics classroom can help increase retention, motivation, and overall positive emotions about mathematics. This article pre...

In an effort to keep students on track in their degree programs, the Department of Applied Mathematics at the University of Colorado Boulder offers a Winter Break Calculus 1 course for students who...

Teaching Linear Algebra: An International Perspective. Volume 35, Issue 9-10 of PRIMUS

This paper discusses multiple versions of an activity in which participants create, discuss, and analyze possible definitions of the term “sandwich.” This activity has helped us humanize mathematic...

Published in PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies (Ahead of Print, 2025)

Teaching Linear Algebra: An International Perspective. Volume 35, Issue 8 of PRIMUS

Volume 35, Issue 7 of PRIMUS

In this paper, we share two activities: one focused on the ideas of linear independence, basis, and span; and a second focused on eigenvalues and eigenvectors. These activities engaged students wit...

Active learning can contribute to greater student performance in undergraduate STEM. However, students sometimes resist active learning techniques when classroom norms do not align with their learn...

This study examines grade distributions and factors related to student performance in the calculus sequence at the University of Hartford, a private, liberal arts institution. Using data collected ...

Mathematics autobiographies have been implemented as assignments for students to write about their previous mathematical experiences. This paper explores a meaningful and more advanced implementati...

The transition from school to university mathematics is challenging for students in many ways. The project Real Analysis 2nd Chance is based on Just-in-Time-Teaching (JiTT) principles and aims at s...

Improving learning in postsecondary mathematics courses is of significant importance to reduce barriers to undergraduate degree completion. This article shares development work identifying ways tha...

In this lesson analysis, the topic of the lesson is a module on choosing an appropriate differentiation strategy. The course context is a lesson used at two public, 4-year, open-admissions institut...

Many college mathematics instructors encounter barriers to implementing student-centered instruction in their classrooms, despite ample evidence that such teaching practices benefit students. This ...

Published in PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies (Ahead of Print, 2025)

One of the exciting elements of being the Communications Editor is that I get to connect people with the exciting papers in PRIMUS that I think will impact their professional work for the better. I…

Many preservice PK-8 teachers (PTs) struggle with fraction concepts and tend to lack fraction number sense. In a mathematics content course for PTs, we introduced and implemented fraction number ta...

Infusing active learning into precalculus and calculus courses: Mathematics department transformation in challenging times. Volume 35, Issue 4-5 of PRIMUS

We present a series of activities to help students develop an understanding of the trigonometric functions that goes beyond SOH-CAH-TOA. By engaging in a series of scaffolded investigations, studen...

The purpose of this post is to share the current thinking of the PRIMUS Editorial Board on the use and involvement of Large Language Models (henceforth “LLMs”) in submissions to the journal. We ack…

Undergraduate research experiences (UREs) have become more demanded and more common. In recent years, various methodologies in different subjects have been developed and tested. Recent papers, book...

Proof by mathematical induction.University-level transition-to-proof course, adopting inquiry-oriented instruction, with about 25 students (mathematics and other STEM majors).This instructional app...

Within a math capstone course, oral presentations can be used to cover a wide breadth of mathematical topics commensurate with wide-ranging backgrounds and interests. Student presentations may, how...

Automated mathematical conjecture-making programs are an established tool for mathematical research. Here we demonstrate how they can be leveraged for group research and the creation of environment...

Lessons on sets in proof-based courses often introduce key ideas using arbitrary sets such as {1,5,π} or {red,blue,minivan} to give the idea that anything can form a set. However, much of the work ...

This paper describes a type of question – asking about the scope of variables – that has helped us engage students in early proof courses in discussions around aspects of logic relevant to early pr...

The topic of the lesson entails introducing the derivative concept as instantaneous rate of change with a focus on quantitative and covariational reasoning. The course context of this lesson involv...