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...

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...

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...

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...

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 3 of PRIMUS

Through examination of codes of ethics of adjacent disciplines and consultation with members of the mathematics community, Buell et al. developed a list of 44 proto-Guidelines for Ethical Mathemati...

We will share three mini-lessons for guiding mathematics majors to develop ethical reasoning skills. These activities have been tested, evaluated, and revised in a 1-hour seminar for entry-level ma...

Ethical reasoning is an essential component of applying mathematical modeling in solving real-life problems, both in research and business settings. Our mathematical models exist in the context of ...

As a fundamental course for STEM careers, Calculus I is an ideal place to introduce students to the ethical practice of mathematics. However, it can feel impossible to add extra material to an alre...

This introduction frames the PRIMUS Special Issue on Ethics in the Mathematics Classroom. Specifically, it discusses the reasoning for this endeavor, some background on ethics in mathematics and et...

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 ...

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...

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...

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...

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...

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...

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...

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...

In this paper, we describe how we use the medical imaging processes of radiography and tomography to motivate concepts in an introductory linear algebra course.

We present the design and implementation of a teaching sequence on eigentheory that aims at encouraging at facilitating students’ active participation in a class attended by a high number of studen...

In introductory linear algebra classrooms, determinants are often taught in a formulaic way that obscures their rich connections to graphical interpretations of linear transformations. As an altern...

This paper shares insights and experiences in developing and teaching a first-year applied linear algebra course. In addition to incorporating innovative pedagogical techniques like active and inqu...

Flipped Classroom (FC) approaches, which utilize video distribution via modern internet platforms, have recently gained interest as a pedagogical framework. Inquiry Based Mathematics Education (IBM...

The paper describes a matrix theory course that was taught using Problem-Solving before Instruction (PS-I) pedagogy. At the beginning of each course week, homework was explained but not solved. The...

Linear algebra is one of the service mathematics courses that students in many programs take as part of their undergraduate study. Previous studies indicate that linear algebra courses are often ch...

Householder reflector is a must-taught special unitary matrix in numerical linear algebra. It has plentiful theoretical as well as numerical properties, and it plays a significant role in practical...

All teachers know the power of “visual understanding” and the literature on this topic is overwhelming. In this article, we focus on the visual image of linear algebra and elaborate on two related ...

What is the meaning of matrix multiplication? In this article, I outline a sequence of lessons for an introductory linear algebra course to teach matrix multiplication with impactful and productive...

Informed by Harel's DNR theoretical framework, this paper describes the design, incorporation, and analysis of two teaching and learning strategies into a particular lesson on eigentheory. The stud...

The concepts of polynomials and matrices essentially expand and enhance the elementary arithmetic of numbers. Once introduced, polynomials and matrices open up new interesting mathematical challeng...

As students transition from the mathematics they learn in school years, including their first-year calculus courses, to the first course in linear algebra, they experience discontinuities in their ...