Predicting Calculus Success at Wyoming Community Colleges

Michael Bostick

Central Wyoming College

May 20, 2026

Calculus - The Gateway to STEM Degrees

  • The Economic Stakes: STEM jobs in Wyoming are projected to double between 2021 and 2031 (Turbitt, 2022).
  • The Wage Gap: Average wages in Wyoming for STEM ($75,620) significantly outpace non-STEM ($51,010) occupations (Turbitt, 2022).
  • The Gateway Course: Calculus I serves as both the essential gateway and the primary academic barrier to these high-wage STEM degrees (Redmond-Sanogo et al., 2016).
  • The Community College Role: Half of all undergraduates attend community colleges, but they remain historically less likely to graduate with STEM degrees (Bahr et al., 2023; Zhang, 2022).
  • The Core Question: Do our placement systems and math pathways successfully build student momentum, or do they inadvertently recreate barriers for students? (Bahr et al., 2017; Burn et al., 2015)

Math Placement Across Wyoming

  • The Default Pathway: ACT is required for nearly every Wyoming high school junior, making it the default placement tool (Wyoming Department of Education, 2025).
  • Statewide Landscape: Every Wyoming community college uses ACT Math to place students up to Calculus I plus other placement test(s).
  • The Shift to Holistic Measures: Only 2 out of 7 colleges currently incorporate high school GPA or transcripts into their formal placement practices.
Wyoming CC Mathematics Placement Practices
College HS GPA / Transcript ACT / SAT Placement Test Co-requisites
LCCC GPA Yes No MATH 1400, STAT 2070
EWC Transcript Yes Accuplacer MATH 1000, 1400
CC No Yes Tailwind No
NWCC No Yes Accuplacer MATH 1000
CWC No Yes ALEKS MATH 1000, 1400
NWC* No Yes Accuplacer, ALEKS MATH 1000, 1400
WWCC* No Yes McCann, ALEKS MATH 1000, 1400

Note. Data gathered from institutional websites. CWC currently utilizes ACT scores and specialized placement tests (ALEKS) rather than high school transcripts for calculus placement. Rows highlighted in pink integrate HS GPA/transcripts.

Result 1: Holistic Student Placement

Placement metrics are not “one-size-fits-all”, the best predictor of success changes depending on who the student is.

  • High School GPA is a Powerful Predictor: For traditional-age students, high school GPA is the single strongest predictor of success. A standard-deviation increase in GPA yields an 87% increase in the odds of passing Calculus I.
  • Time Erodes the Value of HS GPA: For adult learners and non-traditional students (2+ years post-high school), high school GPA holds no statistical relationship to college calculus success.
  • ACT Math and Concurrent Enrollment Precalculus: ACT Math does not predict success on its own, but amplifies the benefits of concurrent enrollment precalculus coursework. Concurrent enrollment coursework prior to calculus did not improve success unless combined with a high ACT Math score.
  • The Takeaway: Math placement needs to be holistic incorporating different measures for different student populations.

Effective Placement for Predicting Calculus Success

Predicting Calculus Success by HS GPA and Time Since HS

Note. Predicted probability of passing calculus by HS GPA Centered Within Courses (cwc) ± 2 SD, moderated by years since HS (cwc) ± 2 SD. All other variables held at mean.

Predicting Calculus Success by ACT Math and Concurrent Enrollment

Note. Predicted probability of passing calculus by ACT Math Centered Within Courses (cwc) ± 2 SD, moderated by concurrent enrollment prereq (cwc) ± 2 SD. All other variables held at mean.

Result 2: Corequisite and Prerequisite Courses

The corequisite math model pairs college-level courses with aligned academic support to compress developmental pathways:

  • The Prerequisite Trap: Forcing students through long, multi-semester prerequisite chains can drain academic momentum.
  • The Corequisite Advantage: While taking additional prerequisites increases passing odds by 36% at traditional colleges, the availability of corequisite structures negates the need for long prerequisite tracks (reducing the prerequisite dependency by 42%).
  • The Takeaway: Corequisite structures successfully accelerate students into college-level math without sacrificing their ultimate success rate. CWC was the first Wyoming community college to adopt this model.

Predicting Calculus Success by Number of Prerequisites and Corequisite Availability

Note. Predicted probability of passing calculus by math prerequisites Centered Within Courses (cwc) ± 2 SD, moderated by corequisite availability. All other variables held at mean.

Result 3: Classroom Equity Gaps

This study looked at how classroom peer effects impact performance:

  • The Peer Effect Benefit: For the majority of students, being in a calculus section with highly prepared peers (a high section-mean HS GPA) provides a substantial academic lift boosting individual odds of passing.
  • The Disadvantage: For Underrepresented Racially Minoritized (URM) students, this peer composition advantage is reduced by 94%.
  • The Takeaway: Simply ensuring diverse students gain entry into high-level math sections is not enough. Once in the class, URM students do not automatically experience the same peer-effect benefits, pointing to a need for stronger in-class student support systems.

Predicting Calculus Success by Section Mean HS GPA and URM Status

Note. Predicted probability of passing calculus by section mean HS GPA Grand Mean Centered (gmc) ± 2 SD, moderated by URM status. All other variables held at mean.

Equity Context: A Question Worth Investigating

As CWC grows more diverse, are our math pathways keeping pace?

  • Strong Overall Pass Rate: Wyoming community colleges average a 72% Calculus I pass rate, outpacing the national average of 67% (Tremaine et al., 2022). CWC students are succeeding once they arrive.
  • A More Diverse Community: CWC’s non-white enrollment has grown from approximately 25% in 2012 to 39% in 2022 (IPEDS). CWC is serving an increasingly diverse student population.
  • A Question Raised by the Model: The peer effect finding, that URM students do not share equally in the benefits of high-performing classrooms, points to a need to better understand who is reaching calculus and what support structures exist once they arrive.
  • The Takeaway: This study raises important questions that warrant further investigation at the institutional level. As our community becomes more diverse, ensuring equitable access to calculus pathways and meaningful support within them is an area worth ongoing attention.

Directions for CWC Mathematics

These findings offer insights the math department can explore internally to continually improve student outcomes:

  • Explore Multiple-Measure Placement: Evaluate moving away from standalone ACT placement for recent high school graduates, exploring a holistic framework that integrates high school transcripts/GPA (Hayward, 2020; Ngo et al., 2018).

  • Tailor Pathways for Returning Adults: Recognize that high school records fade after 2+ years. Optimize tools like ALEKS or guided self-placement for non-traditional students.

  • Scale Corequisite Success: Continue improving and expanding CWC’s corequisite models (Schudde & Ryu, 2025).

  • Enhance In-Class Support Structures: Investigate how a diverse student body can fully capitalize on the classroom environment (Treisman, 1992; Wiles & Levesque-Bristol, 2023).

  • Grow the Pipeline: Work to bring more diverse students into early calculus pathways and strengthen support structures.

Thank You

Predicting Calculus Success at Wyoming Community Colleges

Mike Bostick | mbostick@cwc.edu | CWC Mathematics

CWC Board of Trustees Meeting May 2026

Central Wyoming College | Riverton, WY

Full model results, diagnostics, and summary statistics:

Scan QR code for slides.

References

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Hayward, C. (2020). The decay function of the predictive validity of high school GPA. The RP Group. https://doi.org/10.13140/RG.2.2.22141.90089
Ngo, F., Chi, W. E., & Park, E. S. Y. (2018). Mathematics course placement using holistic measures: Possibilities for community college students. Teachers College Record: The Voice of Scholarship in Education, 120(2), 1–42. https://doi.org/10.1177/016146811812000205
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