Kristen Vroom , Ph.D.
Holmes Hall, W-26E
919 E. Shaw Lane
East Lansing, MI 48825
United States
LBC Courses Taught
Biography
I am an undergraduate mathematics education researcher focused on how students and instructors engage in mathematical practices such as defining, conjecturing, and proving. I teach undergraduate mathematics courses at Lyman Briggs College and also work with doctoral students in the Program in Mathematics Education. Through both my teaching and research, I aim to support meaningful engagement in mathematical practices—emphasizing that learning mathematics should be a creative and collaborative endeavor. If you stop by my classroom, you’ll likely find students talking with one another while working at the board as I move around the room inquiring into each group’s thinking. I strive to foster a welcoming, supportive environment—many students describe feeling “accepted,” “curious,” and “valued” in our shared space. When you’re in my class, I care deeply about you—not just supporting you to earn the grade you desire, but also how you feel in our class and how you see yourself as someone who does mathematics. I want you to feel confident and heard, and I’m always learning from your thinking and perspective as we work together to make our mathematical space truly ours.
Education
- Ph.D., Mathematics Education, Portland State University
- M.A., Mathematics, Appalachian State University
- B.Sc., Secondary Mathematics Education, North Carolina State University
Research
My primary research interests are in undergraduate mathematics education, with an emphasis on teaching and learning of mathematical practices such as conjecturing, defining, and proving. At the heart of my research program is my commitment to reimagining how undergraduate mathematics courses are taught and experienced, highlighting the messy and creative nature of mathematical work and centering students’ thinking and perspectives. Some ways that I've pursued these goals are through two NSF-funded projects. In the Advancing Students’ Proof Practices in Mathematics through Inquiry, Reinvention, and Engagement project, I designed inquiry-oriented curricula and accompanying instructor support materials for Introduction to Proof courses, promoting meaningful engagement with mathematical practices. In my current project, Supporting Mathematical Instruction around Definitions through Values-Centered Collaboration, I’m partnering with mathematicians to support instructional innovations that treat mathematical definitions in ways that are authentic to the discipline, such as showcasing the fluidity and creativity of defining.
Publications
How two undergraduates used examples and an Euler diagram for making and proving conjectures The Journal of Mathematical Behavior (2025)
Teaching practices that support revising definition drafts to adhere to mathematical norms Educational Studies in Mathematics (2024)
Sociomathematical scaffolding as students engage in revising draft definitions, conjectures, and proofs Educational Studies in Mathematics (2024)
Students’ Thinking about the Structure of Constructive Existence Proofs International Journal of Research in Undergraduate Mathematics Education (2024)
Characteristics of interactive classrooms that first year students find helpful International Journal of STEM Education (2022)
Operationalizing authentic mathematical proof activity using disciplinary tools The Journal of Mathematical Behavior (2022)
Course Coordinator Orientations Toward their Work and Opportunities for Professional Development Innovative Higher Education (2022)
Where Calculus and Engineering Converge: an Analysis of Curricular Change in Calculus for Engineers International Journal of Research in Undergraduate Mathematics Education (2021)
Connecting the Stakeholders: Departments, Policy, and Research in Undergraduate Mathematics Education PRIMUS (2021)