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
"Talking with Introduction to Proof Students About the Scope of Variables" by Dawkins & Roh about inviting students to attend to and discuss how variables in statements and proofs range over sets.
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
October 27, 2025 at 11:09 PM
"Talking with Introduction to Proof Students About the Scope of Variables" by Dawkins & Roh about inviting students to attend to and discuss how variables in statements and proofs range over sets.
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" by Ishihara & Zhu about Turing machines, Clique machines, and Jupyter Notebooks for mathematical depth.
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
October 27, 2025 at 11:09 PM
"Adding Depth to P vs. NP Clique Analysis in a Math Capstone Course" by Ishihara & Zhu about Turing machines, Clique machines, and Jupyter Notebooks for mathematical depth.
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" by Carl Winsløw about combining elements of abstract algebra and real analysis to assess what it means to solve an equation.
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
October 27, 2025 at 11:09 PM
"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 to solve an equation.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Automated Conjecturing for Mathematics Teaching and Research Projects" by Bushaw, Larson & Cleemput about the Sage-based open-sources 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
October 27, 2025 at 11:09 PM
"Automated Conjecturing for Mathematics Teaching and Research Projects" by Bushaw, Larson & Cleemput about the Sage-based open-sources program.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Mathematical Modeling Without Calculus" by Hartman, Libertini, Castle & Whipple about a course for non-STEM majors.
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
October 27, 2025 at 11:09 PM
"Mathematical Modeling Without Calculus" by Hartman, Libertini, Castle & Whipple about a course for non-STEM majors.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Engaging Student Thinking in Real Analysis: One Problem at a Time" by Morris & Lahme about constructing similar arguments, examining examples, digging deeper, and analyzing arguments.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
www.tandfonline.com
October 27, 2025 at 11:09 PM
"Engaging Student Thinking in Real Analysis: One Problem at a Time" by Morris & Lahme about constructing similar arguments, examining examples, digging deeper, and analyzing arguments.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"A Synthesis of Mathematical Departmental Change Efforts: Framing, Foci, and Future Opportunities" by Cronin et al. about a meta-synthesis of 26 articles from the 2021 special issue of PRIMUS concerning change efforts within precalculus-calculus sequences.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
A Synthesis of Mathematical Departmental Change Efforts: Framing, Foci, and Future Opportunities
This paper presents a meta-synthesis of 26 articles from the 2021 special issue of the journal PRIMUS concerning change efforts within the teaching, learning, and assessment of the precalculus thro...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"A Synthesis of Mathematical Departmental Change Efforts: Framing, Foci, and Future Opportunities" by Cronin et al. about a meta-synthesis of 26 articles from the 2021 special issue of PRIMUS concerning change efforts within precalculus-calculus sequences.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Five Years Later: Revisiting an Applied Calculus Reform Project and Its Impact on Subsequent Calculus Reforms, Pre- and Post-Pandemic" by Dunnigan & Panini about both pre-pandemic and post-pandemic adjustments to the course structure.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Five Years Later: Revisiting an Applied Calculus Reform Project and Its Impact on Subsequent Calculus Reforms, Pre- and Post-Pandemic
A project to reform the teaching of Applied Calculus at the University of North Dakota (UND) is revisited. The successes and failures and current status of the project are discussed. Both pre-pande...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Five Years Later: Revisiting an Applied Calculus Reform Project and Its Impact on Subsequent Calculus Reforms, Pre- and Post-Pandemic" by Dunnigan & Panini about both pre-pandemic and post-pandemic adjustments to the course structure.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Our Journey from Collaborative Coordination to a Specifications-Based Grading Approach in Calculus 1" by Mingus & Koelling about responding to a significant and inequitable decrease in student success.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Our Journey from Collaborative Coordination to a Specifications-Based Grading Approach in Calculus 1
Student success in calculus courses has been a concern at our institution in the past decade. In a previous paper, we described how an evolving coordinated instructional team was able to increase s...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Our Journey from Collaborative Coordination to a Specifications-Based Grading Approach in Calculus 1" by Mingus & Koelling about responding to a significant and inequitable decrease in student success.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Sustaining Active Learning in Undergraduate Precalculus: Results and Challenges of a Course Redesign" by Gruber & Rosca for course coordinators and departmental leaders interested in redesigning undergraduate mathematics courses with a focus on active learning.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Sustaining Active Learning in Undergraduate Precalculus: Results and Challenges of a Course Redesign
Addressed toward course coordinators and departmental leaders interested in redesigning undergraduate mathematics courses with a focus on active learning, this report provides an update on progress...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Sustaining Active Learning in Undergraduate Precalculus: Results and Challenges of a Course Redesign" by Gruber & Rosca for course coordinators and departmental leaders interested in redesigning undergraduate mathematics courses with a focus on active learning.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Impact of the Pandemic on the University of Oklahoma’s STEM Mathematics Pathway" by Moore-Russo & Petrov about using an organizational development framework to understand which changes have persisted.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Impact of the Pandemic on the University of Oklahoma’s STEM Mathematics Pathway
Using an organizational development framework, we consider different aspects related to first-year mathematics courses leading to STEM fields. We use the Weisbord six-box model to describe how the ...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Impact of the Pandemic on the University of Oklahoma’s STEM Mathematics Pathway" by Moore-Russo & Petrov about using an organizational development framework to understand which changes have persisted.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Mathematics Equity through Teaching Actively: Centering Equity in Our Active Learning Pursuits" by Stone-Johnstone et al. about an explicit, rather than implicit, stance on attending to equity-minded instruction while shifting to active learning.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Mathematics Equity through Teaching Actively: Centering Equity in Our Active Learning Pursuits
In this paper, we describe a movement through professional development at California State University, Fullerton, to promote equity-minded active learning within mathematics courses. The META: Math...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Mathematics Equity through Teaching Actively: Centering Equity in Our Active Learning Pursuits" by Stone-Johnstone et al. about an explicit, rather than implicit, stance on attending to equity-minded instruction while shifting to active learning.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Leveraging a Community of Practice Model to Accelerate Change" by Oliver, Olkin & Sisneros-Thiry about the uptake of new ideas around pedagogy and equity.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Leveraging a Community of Practice Model to Accelerate Change
The Community of Practice (CoP) at California State University, East Bay began with a handful of calculus instructors in 2017, and has grown to include nearly all instructors of STEM Pathway course...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Leveraging a Community of Practice Model to Accelerate Change" by Oliver, Olkin & Sisneros-Thiry about the uptake of new ideas around pedagogy and equity.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Healthy Vulnerable Community and Institutional Change" by Bryan et al. about how a community foundation of vulnerability and trust shepherded us through rapid institutional change during a global pandemic.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Healthy Vulnerable Community and Institutional Change
Since its inception, we have thought of our active learning project at George Mason University as a community of practice: a network of like-minded faculty interested in student-centered teaching. ...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Healthy Vulnerable Community and Institutional Change" by Bryan et al. about how a community foundation of vulnerability and trust shepherded us through rapid institutional change during a global pandemic.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Active Learning Taking Root – A Progress Update" by Freund, Holm, MacDonald & Riley about progress of an initiative, the wider teaching reforms it generated, and the challenges encountered.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Active Learning Taking Root – A Progress Update
In 2017, Cornell University's Mathematics Department embarked on a project to make active learning the standard teaching method in single-variable calculus teaching, as described in a 2020 PRIMUS a...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Active Learning Taking Root – A Progress Update" by Freund, Holm, MacDonald & Riley about progress of an initiative, the wider teaching reforms it generated, and the challenges encountered.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Our Never-Ending Pathway to Innovate Calculus 1: Course Coordination and Active Learning to Specifications Grading and Growth Mindset" by Villalobos et al. about instructional strategies aimed at fostering more fair and inclusive learning practices.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Our Never-Ending Pathway to Innovate Calculus 1: Course Coordination and Active Learning to Specifications Grading and Growth Mindset
In this paper, we detail the implementation of initiatives designed to support instructional strategies aimed at fostering more fair and inclusive learning practices in Precalculus, Calculus 1, and...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Our Never-Ending Pathway to Innovate Calculus 1: Course Coordination and Active Learning to Specifications Grading and Growth Mindset" by Villalobos et al. about instructional strategies aimed at fostering more fair and inclusive learning practices.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Innovations and Evolution of Large-Enrollment Calculus in Response to the Pandemic" by Miller et al. about being positioned to leverage the transformation required by the sudden switch to online and hybrid teaching.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Innovations and Evolution of Large-Enrollment Calculus in Response to the Pandemic
We discuss the impact of the coronavirus pandemic on mathematics instruction at a large, public university with a focus on the impact of first-year calculus courses. At this university, many first-...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Innovations and Evolution of Large-Enrollment Calculus in Response to the Pandemic" by Miller et al. about being positioned to leverage the transformation required by the sudden switch to online and hybrid teaching.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Adapting and Sustaining Change: A Case Study of a Successful Calculus II Course Redesign during the Pandemic Years" by Swanson, Carney & Sanders about transitioning a partially flipped model for Calculus II to remote and hybrid settings.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Adapting and Sustaining Change: A Case Study of a Successful Calculus II Course Redesign during the Pandemic Years" by Swanson, Carney & Sanders about transitioning a partially flipped model for Calculus II to remote and hybrid settings.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Strand Committees and Course Coordination: Complementary Structures to Drive Evidence-Based Improvements" by Vandenbussche et al. about evidence-based departmental changes in the Calculus pathway.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Strand Committees and Course Coordination: Complementary Structures to Drive Evidence-Based Improvements
We leverage course coordination and a department-level curricular committee structure, called Strand Committees, to drive evidence-based departmental changes in the Calculus pathway. The Strand Com...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Strand Committees and Course Coordination: Complementary Structures to Drive Evidence-Based Improvements" by Vandenbussche et al. about evidence-based departmental changes in the Calculus pathway.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Using Data to Sustain and Measure Student Success Initiatives" by Faudree, McIntyre & Bridges about how the collection and analysis of baseline data has formed the backbone of a sustained, department-driven effort.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Using Data to Sustain and Measure Student Success Initiatives
This is a follow-up to an earlier case study [Faudree, J. 2021. Courage by experiment, rescue by data. PRIMUS. 31(3–5): 483–491.] describing one Math Department's attempt to improve pass rates in C...
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Using Data to Sustain and Measure Student Success Initiatives" by Faudree, McIntyre & Bridges about how the collection and analysis of baseline data has formed the backbone of a sustained, department-driven effort.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
"Infusing Active Learning into Precalculus and Calculus: Mathematics Department Transformation in Challenging Times", and editorial introduction by Smith & Rasmussen.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....
Infusing Active Learning into Precalculus and Calculus: Mathematics Department Transformation in Challenging Times
Published in PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies (Vol. 35, No. 4-5, 2025)
www.tandfonline.com
August 30, 2025 at 6:54 PM
"Infusing Active Learning into Precalculus and Calculus: Mathematics Department Transformation in Challenging Times", and editorial introduction by Smith & Rasmussen.
www.tandfonline.com/doi/full/10....
www.tandfonline.com/doi/full/10....