PRIMUS

Improving Collegiate Mathematics Teaching and Learning Through SoTL Published in PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies (Ahead of Print, 2025)

My (first!) new paper published in PRIMUS is joint work with Jackie Dewar of Loyola Marymount and Megan Breit-Goodwin of Anoka-Ramsey CC. We provide results and analysis of a survey of SOTL practitioners in mathematics. #MetaMath
doi.org/10.1080/1051...

Volume 35.8 was initially listed inaccurately as a special issue on Linear Algebra. That special issue is coming soon.

Painting the In-Betweenness and Squishing Circles: Learning Linear Algebra 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...

"Painting the In-Betweenness and Squishing Circles: Learning Linear Algebra" by Soto & Armbruster about two activities: one focused on the ideas of linear independence, basis, and span; and a second focused on eigenvalues and eigenvectors.

www.tandfonline.com/doi/full/10....

Uplifting Students’ Stories: Meaningful Implementation of Mathematics Autobiographies in College Mathematics Courses 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...

"Uplifting Students’ Stories: Meaningful Implementation of Mathematics Autobiographies in College Mathematics Courses" by Raygoza & Cawley about an advanced implementation of the mathematics autobiography assignment.

www.tandfonline.com/doi/full/10....

Investigating Grade Distributions in the Calculus Sequence 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 ...

"Investigating Grade Distributions in the Calculus Sequence" by Kmail & Rabideau about factors related to student performance in the calculus sequence.

www.tandfonline.com/doi/full/10....

From Guided to Guiding: Optimizing Note-Taking Scaffolds with Universal Design for Learning 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...

"From Guided to Guiding: Optimizing Note-Taking Scaffolds with Universal Design for Learning" by Bertrand, Keazer & Phaiah about improving learner agency by transforming guided notes into an enhanced, UDL-aligned version called guiding notes.

www.tandfonline.com/doi/full/10....

Supporting Student Appreciation of Inquiry-Based Calculus 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...

"Supporting Student Appreciation of Inquiry-Based Calculus" by Heacock, Bubp & Hallman-Thrasher about four assignments used in an undergraduate inquiry-based calculus course designed to foster student buy-in.

www.tandfonline.com/doi/full/10....

Real Analysis 2nd Chance – Support Project to Overcome the Transition to Advanced Mathematics 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...

"Real Analysis 2nd Chance – Support Project to Overcome the Transition to Advanced Mathematics" by Bertram, Rolka & Geisler about Just-in-Time-Teaching (JiTT) principles and student experiences with them.

www.tandfonline.com/doi/full/10....

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

New Release: Volume 35.8!

@joinmaa.bsky.social members always have access to PRIMUS through the member library.

www.tandfonline.com/toc/upri20/3...

We All Benefit from Each Other's Experiences: Reflections on Participating in an Iterated-Improvement Learning Community Many college mathematics instructors encounter barriers to implementing student-centered instruction in their classrooms, despite ample evidence that such teaching practices benefit students. This ...

"We All Benefit from Each Other's Experiences: Reflections on Participating in an Iterated-Improvement Learning Community" by Prasad, Gehrtz, Duffer, Lambert, Lunsford & Schurmann about college algebra instructors forming a continuous improvement PLC.

www.tandfonline.com/doi/full/10....

Do All the Things: Inquiry-Based Learning with Teams, Collaborative Grading, and Individual Goal Setting in Euclidean Geometry for Future Teachers Inquiry-Based Learning, collaborative grading, individualized goal-setting, and team-based problem solving are common educational innovations discussed in these pages. This paper describes a Euclid...

"Do All the Things: Inquiry-Based Learning with Teams, Collaborative Grading, and Individual Goal Setting in Euclidean Geometry for Future Teachers" by David Clark about intentionally integrating pedagogical choices that appear separately in the literature.

www.tandfonline.com/doi/full/10....

Do and Review: Facilitating Student Learning Through a Self-Assessed Homework System Providing opportunities for students to learn from mistakes is essential for student growth. On homework, this often amounts to allowing students to revise and resubmit their work, which can be pro...

"Do and Review: Facilitating Student Learning Through a Self-Assessed Homework System" by Mazur & Yarnall about providing opportunities for students to learn from mistakes.

www.tandfonline.com/doi/full/10....

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...

"Number Talks: Making Sense of Fractions" by Alexis Stevens & Jennifer Gibson about developing pre-service teachers' fraction number sense.

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...

"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....

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–...

"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....

PRIMUS Volume 35, Issue 7 of PRIMUS

New Release: Volume 35.7!

@joinmaa.bsky.social members always have access to PRIMUS through the member library.

www.tandfonline.com/toc/upri20/3...

Painting the In-Betweenness and Squishing Circles: Learning Linear Algebra 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...

New Release: "Painting the In-Betweenness and Squishing Circles: Learning Linear Algebra" by Soto & Armbruster about two activities: one focused on the ideas of linear independence, basis, and span; and a second focused on eigenvalues and eigenvectors.

www.tandfonline.com/doi/full/10....

Supporting Student Appreciation of Inquiry-Based Calculus 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...

New Release: "Supporting Student Appreciation of Inquiry-Based Calculus" by Heacock, Bubp & Hallman-Thrasher about four assignments used in an undergraduate inquiry-based calculus course designed to foster student buy-in.

www.tandfonline.com/doi/full/10....

Investigating Grade Distributions in the Calculus Sequence 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 ...

New Release: "Investigating Grade Distributions in the Calculus Sequence" by Kmail & Rabideau about factors related to student performance in the calculus sequence.

www.tandfonline.com/doi/full/10....

Uplifting Students’ Stories: Meaningful Implementation of Mathematics Autobiographies in College Mathematics Courses 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...

New Release: "Uplifting Students’ Stories: Meaningful Implementation of Mathematics Autobiographies in College Mathematics Courses" by Raygoza & Cawley about an advanced implementation of the mathematics autobiography assignment.

www.tandfonline.com/doi/full/10....

Real Analysis 2nd Chance – Support Project to Overcome the Transition to Advanced Mathematics 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...

New Release: "Real Analysis 2nd Chance – Support Project to Overcome the Transition to Advanced Mathematics" by Bertram, Rolka & Geisler about Just-in-Time-Teaching (JiTT) principles and student experiences with them.

www.tandfonline.com/doi/full/10....

From Guided to Guiding: Optimizing Note-Taking Scaffolds with Universal Design for Learning 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...

New Release: "From Guided to Guiding: Optimizing Note-Taking Scaffolds with Universal Design for Learning" by Bertrand, Keazer & Phaiah about improving learner agency by transforming guided notes into an enhanced, UDL-aligned version called guiding notes.

www.tandfonline.com/doi/full/10....

Developing differentiation strategies by learning to parse symbolic expressions: A lesson analysis manuscript 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...

New Release: "Developing differentiation strategies by learning to parse symbolic expressions: A lesson analysis manuscript" by Noble, DeGeorge & Pinzon about a lesson focused on students choosing strategies.

www.tandfonline.com/doi/full/10....

We All Benefit from Each Other's Experiences: Reflections on Participating in an Iterated-Improvement Learning Community Many college mathematics instructors encounter barriers to implementing student-centered instruction in their classrooms, despite ample evidence that such teaching practices benefit students. This ...

New Release: "We All Benefit from Each Other's Experiences: Reflections on Participating in an Iterated-Improvement Learning Community" by Prasad, Gehrtz, Duffer, Lambert, Lunsford & Schurmann about college algebra instructors forming a continuous improvement PLC.
www.tandfonline.com/doi/full/10....

This is our first ~Note~ in PRIMUS, a new article format that allows for shorter papers, including a variety of things such as research commentaries, smaller ideas for the classroom, and other pieces that haven't fit in our other formats.

Improving Collegiate Mathematics Teaching and Learning Through SoTL Published in PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies (Ahead of Print, 2025)

New Article: "Improving Collegiate Mathematics Teaching and Learning Through SoTL" by Breit-Goodwin, Buckmire & Dewar about the state of the field.

www.tandfonline.com/doi/full/10....

Linear Algebraic Nodal Analysis: An Applied Project for a First Course in Linear Algebra Many students who enroll in a first course in linear algebra major in STEM disciplines other than mathematics. Teachers who serve such students may find it difficult to provide authentic problems f...

Most Downloaded: “Linear Algebraic Nodal Analysis: An Applied Project for a First Course in Linear Algebra” by Jeffrey A. Anderson & Bryan B. Nguyen

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...

Special Issues: “A Synthesis of Mathematical Departmental Change Efforts: Framing, Foci, and Future Opportunities” by Anthony Cronin, Deborah Moore-Russo, Katie Bjorkman & Melissa Mills

www.tandfonline.com/doi/full/10....

Reflective Groupwork For Introductory Proof-Writing Courses We discuss two proof evaluation activities meant to promote the acquisition of learning behaviors of professional mathematics within an introductory undergraduate proof-writing course. These learni...

New Authors: “Reflective Groupwork For Introductory Proof-Writing Courses” by Jennifer Pi, Christopher Davis, Yasmeen Baki & Alessandra Pantano

www.tandfonline.com/doi/full/10....

Ask Questions to Encourage Questions Asked We delineate some types of structured practice (modeling, requests, feedback, and space-making) that help students learn to pose appropriate questions and to initiate exploration of those questions...

From the Archives: “Ask Questions to Encourage Questions Asked” by sarah-marie belcastro

www.tandfonline.com/doi/full/10....