PRIMUS
@readprimus.bsky.social
PRIMUS: Problems, Resources, and Issues in Math Undergraduate Studies is a refereed journal devoted to exchange of ideas among teachers of undergrad math. https://www.tandfonline.com/toc/upri20/current
New Release: Volume 35.6!
@joinmaa.bsky.social members always have access to PRIMUS through the member library.
www.tandfonline.com/toc/upri20/3...
@joinmaa.bsky.social members always have access to PRIMUS through the member library.
www.tandfonline.com/toc/upri20/3...
www.tandfonline.com
October 27, 2025 at 11:09 PM
New Release: Volume 35.6!
@joinmaa.bsky.social members always have access to PRIMUS through the member library.
www.tandfonline.com/toc/upri20/3...
@joinmaa.bsky.social members always have access to PRIMUS through the member library.
www.tandfonline.com/toc/upri20/3...
New Release: "Number Talks: Making Sense of Fractions" by Alexis Stevens & Jennifer Gibson about developing pre-service teachers' fraction number sense.
www.tandfonline.com/doi/abs/10.1...
www.tandfonline.com/doi/abs/10.1...
Number Talks: Making Sense of Fractions
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...
www.tandfonline.com
October 27, 2025 at 10:55 PM
New Release: "Number Talks: Making Sense of Fractions" by Alexis Stevens & Jennifer Gibson about developing pre-service teachers' fraction number sense.
www.tandfonline.com/doi/abs/10.1...
www.tandfonline.com/doi/abs/10.1...
The PRIMUS Editorial Board, on behalf of Taylor & Francis, is pleased to announce the selection of Brian P Katz (BK) of CSU Long Beach as Editor-in-Chief, starting in 2026.
www.tandfonline.com/loi/upri20
www.tandfonline.com/loi/upri20
October 18, 2025 at 4:45 PM
The PRIMUS Editorial Board, on behalf of Taylor & Francis, is pleased to announce the selection of Brian P Katz (BK) of CSU Long Beach as Editor-in-Chief, starting in 2026.
www.tandfonline.com/loi/upri20
www.tandfonline.com/loi/upri20
New Release: Volume 35.4-5!
Special Issue on "Infusing active learning into precalculus and calculus courses: Mathematics department transformation in challenging times"
@joinmaa.bsky.social members always have access to PRIMUS through the member library.
www.tandfonline.com/toc/upri20/3...
Special Issue on "Infusing active learning into precalculus and calculus courses: Mathematics department transformation in challenging times"
@joinmaa.bsky.social members always have access to PRIMUS through the member library.
www.tandfonline.com/toc/upri20/3...
PRIMUS
Infusing active learning into precalculus and calculus courses: Mathematics department transformation in challenging times. Volume 35, Issue 4-5 of PRIMUS
www.tandfonline.com
August 30, 2025 at 6:54 PM
New Release: Volume 35.4-5!
Special Issue on "Infusing active learning into precalculus and calculus courses: Mathematics department transformation in challenging times"
@joinmaa.bsky.social members always have access to PRIMUS through the member library.
www.tandfonline.com/toc/upri20/3...
Special Issue on "Infusing active learning into precalculus and calculus courses: Mathematics department transformation in challenging times"
@joinmaa.bsky.social members always have access to PRIMUS through the member library.
www.tandfonline.com/toc/upri20/3...
New Release: "Leveraging GeoGebra to Introduce Trigonometric Functions" by Kimani & Infante about a robust understanding of the radian as a unit of measure and the sine, cosine, and tangent functions as functions.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Leveraging GeoGebra to Introduce Trigonometric Functions
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...
www.tandfonline.com
August 30, 2025 at 6:29 PM
New Release: "Leveraging GeoGebra to Introduce Trigonometric Functions" by Kimani & Infante about a robust understanding of the radian as a unit of measure and the sine, cosine, and tangent functions as functions.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Manual for a Stand-Alone CURE (Course-Based Undergraduate Research Experience)" by Guillermo Alvaro Pardo about a road map for developing and running a successful stand-alone CURE in Mathematics.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Manual for a Stand-Alone CURE (Course-Based Undergraduate Research Experience)
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...
www.tandfonline.com
August 9, 2025 at 8:43 PM
New Release: "Manual for a Stand-Alone CURE (Course-Based Undergraduate Research Experience)" by Guillermo Alvaro Pardo about a road map for developing and running a successful stand-alone CURE in Mathematics.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Extending Quasi-Induction to Reinvent the Principle of Mathematical Induction: A Lesson Analysis Manuscript" by Arnold, Mitchell, Antonides & Norton about how students attend to quantification and the inductive assumption used to prove it.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Extending Quasi-Induction to Reinvent the Principle of Mathematical Induction: A Lesson Analysis Manuscript
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...
www.tandfonline.com
July 27, 2025 at 5:40 PM
New Release: "Extending Quasi-Induction to Reinvent the Principle of Mathematical Induction: A Lesson Analysis Manuscript" by Arnold, Mitchell, Antonides & Norton about how students attend to quantification and the inductive assumption used to prove it.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Adding Depth to P vs. NP Clique Analysis in a Math Capstone Course" by Isihara & Zhu about three approaches to clique analysis depending on course objectives and constraints on time and background knowledge.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Adding Depth to P vs. NP Clique Analysis in a Math Capstone Course
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...
www.tandfonline.com
July 27, 2025 at 5:38 PM
New Release: "Adding Depth to P vs. NP Clique Analysis in a Math Capstone Course" by Isihara & Zhu about three approaches to clique analysis depending on course objectives and constraints on time and background knowledge.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Automated Conjecturing for Mathematics Teaching and Research Projects" by Bushaw, Larson & Cleemput about the Sage-based open-source Conjecturing program.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Automated Conjecturing for Mathematics Teaching and Research Projects
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...
www.tandfonline.com
July 27, 2025 at 5:36 PM
New Release: "Automated Conjecturing for Mathematics Teaching and Research Projects" by Bushaw, Larson & Cleemput about the Sage-based open-source Conjecturing program.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Building Set Relationships by Exploring Sets Defined by Their Properties: A Lesson Analysis Manuscript" by Dawkins & Roh about a short lesson sequence focused on reasoning about sets defined by meaningful properties.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Building Set Relationships by Exploring Sets Defined by Their Properties: A Lesson Analysis Manuscript
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 ...
www.tandfonline.com
July 27, 2025 at 5:35 PM
New Release: "Building Set Relationships by Exploring Sets Defined by Their Properties: A Lesson Analysis Manuscript" by Dawkins & Roh about a short lesson sequence focused on reasoning about sets defined by meaningful properties.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Talking with Introduction to Proof Students About the Scope of Variables" by Dawkins & Roh about fixed but arbitrary objects and pairwise relationships in proofs.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Talking with Introduction to Proof Students About the Scope of Variables
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...
www.tandfonline.com
July 27, 2025 at 5:34 PM
New Release: "Talking with Introduction to Proof Students About the Scope of Variables" by Dawkins & Roh about fixed but arbitrary objects and pairwise relationships in proofs.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "A Quantitative and Covariational Reasoning Approach to Introducing Instantaneous Rate of Change: A Lesson Analysis Manuscript" by F. Yu about the derivative as instantaneous rate of change with a focus on quantitative and covariational reasoning.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
A Quantitative and Covariational Reasoning Approach to Introducing Instantaneous Rate of Change: A Lesson Analysis Manuscript
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...
www.tandfonline.com
July 27, 2025 at 5:33 PM
New Release: "A Quantitative and Covariational Reasoning Approach to Introducing Instantaneous Rate of Change: A Lesson Analysis Manuscript" by F. Yu about the derivative as instantaneous rate of change with a focus on quantitative and covariational reasoning.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Promoting Students' Sense-Making in Row Reducing Matrices: A Lesson Analysis Manuscript" by Kostiuk, Lewis, Borges, Brandt, Chang-Lee, Creech, Griffith & Hashimoto about shift students into a reasoning/sense making stance about RREF.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Promoting Students' Sense-Making in Row Reducing Matrices: A Lesson Analysis Manuscript
In this lesson analysis, the topic of the lesson is using operations to calculate the Reduced Row Echelon Form of a matrix. The course context is an introductory linear algebra course taught using ...
www.tandfonline.com
July 27, 2025 at 5:31 PM
New Release: "Promoting Students' Sense-Making in Row Reducing Matrices: A Lesson Analysis Manuscript" by Kostiuk, Lewis, Borges, Brandt, Chang-Lee, Creech, Griffith & Hashimoto about shift students into a reasoning/sense making stance about RREF.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "A Tale of Two Calculus Courses" by Ho, Kilgore, Griffin, Grubb & Lind about the implementation of a two-semester “stretched” calculus course infused with Precalculus content.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
A Tale of Two Calculus Courses
Multiple institutions have implemented a two-semester “stretched” calculus course infused with Precalculus content. We report on the implementation of our version for such a course during the 2021–...
www.tandfonline.com
July 27, 2025 at 5:29 PM
New Release: "A Tale of Two Calculus Courses" by Ho, Kilgore, Griffin, Grubb & Lind about the implementation of a two-semester “stretched” calculus course infused with Precalculus content.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Engaging Student Thinking in Real Analysis: One Problem at a Time" by Jerry Morris & Brigitte Lahme about helping all students develop productive learning strategies and to value the productive struggle they are engaging in.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Engaging Student Thinking in Real Analysis: One Problem at a Time
With the availability of online resources to find solutions for common mathematics textbook problems, finding assignments that support student learning has become more challenging. It is even more ...
www.tandfonline.com
July 10, 2025 at 12:59 AM
New Release: "Engaging Student Thinking in Real Analysis: One Problem at a Time" by Jerry Morris & Brigitte Lahme about helping all students develop productive learning strategies and to value the productive struggle they are engaging in.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Mathematical Modeling Without Calculus" by Hartman, Libertini, Castle & Whipple about the development of a course in modeling for non-STEM students.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Mathematical Modeling Without Calculus
A new course in mathematical modeling, designed without calculus for non-STEM students, is described. Motivations for the development of the course, course content, typical assignments, student goa...
www.tandfonline.com
July 10, 2025 at 12:58 AM
New Release: "Mathematical Modeling Without Calculus" by Hartman, Libertini, Castle & Whipple about the development of a course in modeling for non-STEM students.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Revisiting the notion of equations in a capstone course: forging internal and external connections" by Carl Winsløw about combining elements of abstract algebra and real analysis to assess what it means for an equation to be solvable.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Revisiting the notion of equations in a capstone course: forging internal and external connections
Undergraduate students of mathematics continue to solve equations in virtually any course they attend, just as they did in secondary school – yet what do they learn about equations and their soluti...
www.tandfonline.com
July 10, 2025 at 12:56 AM
New Release: "Revisiting the notion of equations in a capstone course: forging internal and external connections" by Carl Winsløw about combining elements of abstract algebra and real analysis to assess what it means for an equation to be solvable.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Students Connecting Representations in the Context of Antiderivative Graphs: A Lesson Analysis Manuscript" by Kimberly Cervello Rogers & Nicholas G. Long about the Connecting Representations Routine.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Students Connecting Representations in the Context of Antiderivative Graphs: A Lesson Analysis Manuscript
The topic of the lesson focuses on sketching the graph of an antiderivative function given the graph of the original function. The course context is a Calculus I course. The instructional challenge...
www.tandfonline.com
July 10, 2025 at 12:54 AM
New Release: "Students Connecting Representations in the Context of Antiderivative Graphs: A Lesson Analysis Manuscript" by Kimberly Cervello Rogers & Nicholas G. Long about the Connecting Representations Routine.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Modeling Dynamic Quantities in Related Rates: A Lesson Analysis Manuscript" by Tenille Cannon & Douglas Lyman Corey about a model-focused approach to related rates.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Modeling Dynamic Quantities in Related Rates: A Lesson Analysis Manuscript
In this lesson analysis, the topic of the lesson is using related-rates problems in a realistic situation. The course context is a first-semester calculus course at a large, private, religious univ...
www.tandfonline.com
July 10, 2025 at 12:53 AM
New Release: "Modeling Dynamic Quantities in Related Rates: A Lesson Analysis Manuscript" by Tenille Cannon & Douglas Lyman Corey about a model-focused approach to related rates.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Multivariable Calculus Students Defining “Curl” by Quantifying Rotation at a Point: A Lesson Analysis Manuscript" by Steven R. Jones about motivating some famously tough definitions.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Multivariable Calculus Students Defining “Curl” by Quantifying Rotation at a Point: A Lesson Analysis Manuscript
In this lesson analysis manuscript (LAM), the topic of the lesson is multivariable calculus students constructing the mathematical definition for the curl of a vector field in a meaningful way. The...
www.tandfonline.com
July 10, 2025 at 12:51 AM
New Release: "Multivariable Calculus Students Defining “Curl” by Quantifying Rotation at a Point: A Lesson Analysis Manuscript" by Steven R. Jones about motivating some famously tough definitions.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: Volume 35.3!
@joinmaa.bsky.social members always have access to PRIMUS through the member library.
www.tandfonline.com/toc/upri20/3...
@joinmaa.bsky.social members always have access to PRIMUS through the member library.
www.tandfonline.com/toc/upri20/3...
PRIMUS
Volume 35, Issue 3 of PRIMUS
www.tandfonline.com
May 23, 2025 at 5:31 PM
New Release: Volume 35.3!
@joinmaa.bsky.social members always have access to PRIMUS through the member library.
www.tandfonline.com/toc/upri20/3...
@joinmaa.bsky.social members always have access to PRIMUS through the member library.
www.tandfonline.com/toc/upri20/3...
New Release: "Temperature Variations across Space and Time: Making Statistics Fun with Geographic Information and Spatial Analysis" by Justine I. Blanford about a group-based project-based learning approach.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Temperature Variations across Space and Time: Making Statistics Fun with Geographic Information and Spatial Analysis
Statistics can be daunting and eye-glazing for many students. By coupling statistics with geographic information science, students are able to learn quantitative methods while at the same time lear...
www.tandfonline.com
May 16, 2025 at 5:00 PM
New Release: "Temperature Variations across Space and Time: Making Statistics Fun with Geographic Information and Spatial Analysis" by Justine I. Blanford about a group-based project-based learning approach.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
New Release: "Student-Centered Instruction in a Liberal Arts Math Course: Improving Students’ Attitudes Toward Math While Promoting Active Learning" by Reinaldo A. Ponce about student attention and anxiety.
www.tandfonline.com/doi/abs/10.1...
www.tandfonline.com/doi/abs/10.1...
Student-Centered Instruction in a Liberal Arts Math Course: Improving Students’ Attitudes Toward Math While Promoting Active Learning
Students who enroll in Liberal Arts Math courses often do so just hoping to pass and graduate but panic before the course even begins. Tasked with teaching a 6-week accelerated summer Liberal Arts ...
www.tandfonline.com
May 7, 2025 at 7:46 PM
New Release: "Student-Centered Instruction in a Liberal Arts Math Course: Improving Students’ Attitudes Toward Math While Promoting Active Learning" by Reinaldo A. Ponce about student attention and anxiety.
www.tandfonline.com/doi/abs/10.1...
www.tandfonline.com/doi/abs/10.1...
New Release: "Incorporating Ethical Reasoning in Calculus I" by Bukoski & Erbes about a series of problems which integrate ethical reasoning.
www.tandfonline.com/doi/abs/10.1...
www.tandfonline.com/doi/abs/10.1...
Incorporating Ethical Reasoning in Calculus I
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...
www.tandfonline.com
May 7, 2025 at 7:45 PM
New Release: "Incorporating Ethical Reasoning in Calculus I" by Bukoski & Erbes about a series of problems which integrate ethical reasoning.
www.tandfonline.com/doi/abs/10.1...
www.tandfonline.com/doi/abs/10.1...