Building Bridges, Not Barriers: The Framework That Changes Everything

You can have the most carefully designed curriculum, the most engaging problem sets, the most student-friendly grading structure—and still lose students at the level of identity and belonging. That’s the lesson I’ve learned, again and again, teaching mathematics in spaces designed for inclusion but constrained by legacy. As someone who has taught both at a community college serving working-class students, and who now works at a premier liberal arts women’s college, I’ve seen how belonging is not just a feeling. It is an equity issue. It is about mattering. Drawing on Yosso's (2005) framework of Community Cultural Wealth, I've learned to see what students bring to the classroom differently. They arrive with:

  • Linguistic capital from their multilingual backgrounds

  • Resistant capital from challenging systemic barriers

  • Navigational capital from finding their way through complex institutions

  • Aspirational capital from their dreams and goals

  • Familial capital, those people in our lives - extended family included who build us up

  • Social capital, the friends and colleagues who network with us and are our role models

Our job isn't to "fix" students or erase these assets—it's to recognize and build from them. That is really a hard ask, especially when mathematics is often seen to be “objective” and devoid of feelings.

The Structures That Create Magic

Belonging doesn't happen by accident. It requires intentional structures that tell students: "You matter here." At Smith College, we've spent the last several years redesigning introductory courses. We've redesigned mathematics courses to see students. This seeing goes beyond knowing their names or tracking their grades. It means recognizing the full humanity they bring to our classrooms—their cultural backgrounds, their ways of knowing, their fears and aspirations. Here's what's working in our classrooms:

Daily Rituals That Build Community

  • Musical or Motivational Mondays: Starting the week with student-selected songs, or motivational quotes.

  • Would You Rather Wednesdays: Mathematical dilemmas that spark debate

  • Philosophical Fridays: Choice in problem-solving approaches

Assessment That Honors Growth

  • Revision opportunities on major assignments

  • Group projects with shared authorship

  • Classroom agreements written by students

The Art Show: Where Math Meets Identity

Perhaps our most transformative structure is the Art Show (adapted from Milos Savic's original model and brought to Smith by Candice Price). Students create artistic representations of mathematical concepts they are learning, and the results are stunning:

  • Stitching exponential decay into a spiral quilt honoring her grandmother's life

  • 3D modeling of volumes of surface of integration

  • Composing musical pieces representing the rhythm of integration or the Fundamental Theorem of Calculus

  • Comic strips about mathematics

This isn't extra credit—it's central to how students see themselves as mathematical thinkers.

What Students Really Want (Hint: It's Not What You Think)

Through countless conversations and feedback sessions, here's what I've learned students actually need:

  1. Rigor without rigidity: They want to be challenged, not crushed

  2. Space to struggle safely: Permission to not know, with support to figure it out

  3. Recognition of their whole selves: Not just their math skills, but their cultures, languages, and experiences

  4. Community over competition: Collaboration that lifts everyone up

As one student beautifully put it: "Your math understanding is valuable, even if it's not the same as others."

The Ripple Effect: Why This Matters Beyond the Classroom

When we create belonging in STEM spaces, we're not just improving retention rates (though we are even in a space like Smith College, where it is already high). We're:

  • Diversifying who gets to shape the future of technology and science

  • Challenging the myth that math is for a select few

  • Building resilient problem-solvers who support each other

  • Creating the conditions for innovation that comes from diverse perspectives

Looking Forward: The Work Continues

At Smith, we're scaling this approach through:

  • Professional conversations about pedagogy for faculty

  • Shared curriculum design across departments

  • Student-led research on belonging

  • Presentations at MathFest 2025 to share our findings

We don't have all the answers. But thanks to our students, we have a clearer understanding: belonging is not a bonus feature of STEM education—it's the foundation.

Your Turn: Building Belonging Where You Are

Whether you're an educator, administrator, or student, you have the power to create belonging. Start small:

  • Notice whose voices are missing from your conversations

  • Create one structure that invites authentic participation

  • Listen—really listen—to what students are telling you

  • Share your own struggles and growth in your discipline

Because at the end of the day, mathematics—like all of STEM—is a human endeavor. And humans need to belong.

What structures have helped you feel like you belong in academic or professional spaces? Feel free to message me your experiences.

References

Beasley, M. A., & Fischer, M. J. (2012). Why they leave: The impact of stereotype threat on the attrition of women and minorities from science, math and engineering majors. Social Psychology of Education, 15(4), 427–448.

Savic, M. (2017). Creativity and Calculus: The Art Show Model. University of Oklahoma.

Stringer, B. P., Moschetti, M. G., & Hernández, G. M. (2020). Honoring identity and building community in the mathematics classroom. UCSD.

Vasu, I. (2025, in preparation). Humanizing Calculus: Affective Outcomes in Liberal Arts STEM Classrooms. Smith College.

Yosso, T. J. (2005). Whose culture has capital? A critical race theory discussion of community cultural wealth. Race Ethnicity and Education, 8(1), 69–91.