PIPages
Labs

Kristen Vroom

Michigan State University, MI·Education Research

How students experience college math, whether as rule-following or as something they can help create, shapes who goes on in STEM. Two collaborative projects study how undergraduate mathematics teaching can invite students into real mathematical reasoning.

Fields

Education Research

Mathematics & Statistics

Topics

mathematics education

calculus

sequences and series

Grants
2 known grants, through Sep 2029

What they work on

  1. Design, test and refine inquiry-oriented lessons on sequences and series for second-semester calculus, built with Universal Design for Learning, through three cycles of classroom design research.
  2. Examine how students can be guided to reinvent central ideas such as the tests for series convergence, using retrospective analysis of classroom video, and how they experience the instruction through surveys and interviews.
  3. Characterize mathematics instructors' norms and values around mathematical definitions, and the teaching moves that communicate them, using focus groups, classroom observations and interviews.
  4. Relate the values communicated in instruction to what students take away about mathematics, and develop a toolkit that helps instructors put their values into practice.

More about the research

One focuses on how instructors convey what mathematical definitions are for. The other designs calculus lessons in which all students can take part in building the ideas.

Why it matters

Calculus and proof-based courses are gateways to STEM careers, and many students leave believing they cannot do mathematics. Free, research-based calculus lessons and an instructor toolkit could help college mathematics instructors teach so that more students, including those who learn in different ways, take part in mathematical reasoning and see math as a creative field.

Known grants

From NIH and NSF research grants. Labs often have other funding we can't see.

Collaborative Research: Designing for All - An Inquiry-Oriented Approach to Calculus Sequences and Series with Universal Design for Learning

NSF · Oct 2026 – Sep 2029

Collaborative Research: Supporting Mathematical Instruction around Definitions through Values-Centered Collaboration

NSF · Oct 2024 – Sep 2027

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The school

Michigan State University: 28 labs on PI Pages, $932M a year on research, 555 research doctorates a year.

More about Michigan State University

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