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Abstract

The experiences of underrepresented minority (URM) students in science, technology, engineering, and mathematics (STEM) programs provide valuable insights into improving their retention and academic achievement. This study investigates how Black and Hispanic calculus students describe faculty-student interactions. Four students participated in a demographic survey and follow-up interviews, sharing their experiences with calculus learning. Using thematic coding guided by validation theory, the data revealed instructors’ academic practices that either validated or invalidated students’ participation in calculus classes. These practices include cultivating in-class conceptual support, promoting collaborative learning spaces, demonstrating out-of-class academic availability, acknowledging and integrating diverse student experiences, and encouraging metacognitive reflection. The findings amplify student voices and offer recommendations for calculus instructors and institutions to enhance persistence, sense of belonging, and academic success among Black and Hispanic students.

Keywords

academic validation calculus student–faculty interactions underrepresented students

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References

Alzaga Elizondo

Larsen

(2024). Interventions and diversity, equity, and inclusion: Two current directions in research on the teaching and learning of calculus. ZDM–Mathematics Education, 56(2), 189–198. https://doi.org/10.1007/s11858-024-01553-3

Anaya

Cole

D. G.

(2001). Latina/o student achievement: Exploring the influence of student-faculty interactions on college grades. Journal of College Student Development, 42(1), 3–14.

Battey

Amman

Leyva

L. A.

Hyland

McMichael

E. W.

(2022). Racialized and gendered labor in students’ responses to precalculus and calculus instruction. Journal for Research in Mathematics Education, 53(2), 94–113. https://doi.org/10.5951/jresematheduc-2020-0170

Braun

Clarke

(2019). Reflecting on reflexive thematic analysis. Qualitative Research in Sport, Exercise and Health, 11(4), 589–597. https://doi.org/10.1080/2159676X.2019.1628806

Bullock

Callahan

Cullers

(2017). Calculus reform: Increasing STEM retention and post-requisite course success while closing the retention gap for women and underrepresented minority students. ASEE Annual Conference and Exposition, Conference Proceedings. 2017. https://doi.org/10.18260/1-2–28000

Burt

B. A.

Stone

B. D.

Motshubi

Baber

L. D.

(2023). STEM Validation among underrepresented students: Leveraging insights from a STEM diversity program to broaden participation. Journal of Diversity in Higher Education, 16(1), 53. https://doi.org/10.1037/dhe0000300

Castillo

A. J.

Durán

Fuller

Watson

Potvin

Kramer

L. H.

(2022). Student attitudes in an innovative active learning approach in calculus. International Journal of Mathematical Education in Science and Technology, 55(3), 730–758. https://doi.org/10.1080/0020739X.2021.2023771

Christe

B. L.

(2013). The importance of faculty-student connections in STEM disciplines. Journal of STEM Education: Innovations and Research, 14(3), 22–26. https://www.jstem.org/jstem/index.php/JSTEM/article/view/1797

Cole

Espinoza

(2008). Examining the academic success of Latino students in science technology engineering and mathematics (STEM) majors. Journal of College Student Development, 49(4), 285–300. https://doi.org/10.1353/csd.0.0018

10.

Cole

Griffin

K. A.

(2013). Advancing the study of student-faculty interaction: A focus on diverse students and faculty. In Paulsen

(Ed.), Higher education: Handbook of theory and research (Vol. 28, pp. 591–611). Springer. https://doi.org/10.1007/978-94-007-5836-0_12

11.

Ellis

Fosdick

B. K.

Rasmussen

(2016). Women 1.5 times more likely to leave STEM pipeline after calculus compared to men: Lack of mathematical confidence a potential culprit. PloS ONE, 11(7), 1–14. https://doi.org/10.1371/journal.pone.0157447

12.

Ellis

Kelton

M. L.

Rasmussen

(2014). Student perceptions of pedagogy and associated persistence in calculus. ZDM, 46(4), 661–673. https://doi.org/10.1007/s11858-014-0577-z

13.

Endo

J. J.

Harpel

R. L.

(1982). The effect of student-faculty interaction on students’ educational outcomes. Research in Higher Education, 16(2), 115–138. https://doi.org/10.1007/BF00973505

14.

Estrada

Burnett

Campbell

A. G.

Campbell

P. B.

Denetclaw

W. F.

Gutiérrez

C. G.

Hurtado

John

G. H.

Matsui

McGee

Okpodu

C. M.

Robinson

T. J.

Summers

M. F.

Werner-Washburne

Zavala

(2016). Improving underrepresented minority student persistence in STEM. CBE—Life Sciences Education, 15(3), es5. https://doi.org/10.1187/cbe.16-01-0038

15.

Fries-Britt

White-Lewis

(2020). In pursuit of meaningful relationships: How Black males perceive faculty interactions in STEM. The Urban Review, 52(3), 521–540. https://doi.org/10.1007/s11256-020-00559-x

16.

Gilbert

M. C.

Musu-Gillette

L. E.

Woolley

M. E.

Karabenick

S. A.

Strutchens

M. E.

Martin

W. G.

(2014). Student perceptions of the classroom environment: Relations to motivation and achievement in mathematics. Learning Environments Research, 17(2), 287–304. https://doi.org/10.1007/s10984-013-9151-9

17.

Hagman

J. E.

Johnson

Fosdick

B. K.

(2017). Factors contributing to students and instructors experiencing a lack of time in college calculus. International Journal of STEM Education, 4(1), 1–15. https://doi.org/10.1186/s40594-017-0070-7

18.

Holland Zahner

D. G.

Harper

R. P.

(2025). Validation of belonging among underrepresented undergraduates in STEM majors: Comparison of former transfer and non-transfer students. Journal of College Student Retention: Research, Theory & Practice, 26(4), 1072–1099. https://doi.org/10.1177/15210251221146119

19.

Hurtado

Eagan

M. K.

Tran

M. C.

Newman

C. B.

Chang

M. J.

Velasco

(2011). We do science here”: Underrepresented students’ interactions with faculty in different college contexts. Journal of Social Issues, 67(3), 553–579. https://doi.org/10.1111/j.1540-4560.2011.01714.x

20.

Johnson

J. D.

Starobin

S. S.

Santos Laanan

(2016). Predictors of Latina/o community college student vocational choice in STEM. Community College Journal of Research and Practice, 40(12), 983–1000. https://doi.org/10.1080/10668926.2016.1204963

21.

Kim

Y. K.

Sax

L. J.

(2009). Student–faculty interaction in research universities: Differences by student gender, race, social class, and first-generation status. Research in Higher Education, 50(5), 437–459. https://doi.org/10.1007/s11162-009-9127-x

22.

Kim

Y. K.

Sax

L. J.

(2014). The effects of student-faculty interaction on academic self-concept: Does academic major matter? Research in Higher Education, 55, 780–809. https://doi.org/10.1007/s11162-014-9335-x

23.

Leyva

L. A.

Quea

Weber

Battey

López

(2020). Detailing racialized and gendered mechanisms of undergraduate precalculus and calculus classroom instruction. Cognition and Instruction, 39(1), 1–34. https://doi.org/10.1080/07370008.2020.1849218

24.

McCoy

D. L.

Luedke

C. L.

Winkle-Wagner

(2017). Encouraged or weeded out: Perspectives of students of color in the STEM disciplines on faculty interactions. Journal of College Student Development, 58(5), 657–673. https://doi.org/10.1353/csd.2017.0052

25.

Mesa

Burn

White

N. J.

(2015). Good teaching of Calculus I. In Bressoud

D. M.

Mesa

Rasmussen

C. L.

(Eds.), Insights and recommendations from the MAA national study of college Calculus (pp. 83–91). Mathematical Association of America.

26.

Muis

K. R.

(2004). Personal epistemology and mathematics: A critical review and synthesis of research. Review of Educational Research, 74(3), 317–377. http://www.jstor.org/stable/3516027 https://doi.org/10.3102/00346543074003317

27.

Park

J. J.

Kim

Y. K.

Salazar

Hayes

(2020). Student–faculty interaction and discrimination from faculty in STEM: The link with retention. Research in Higher Education, 61(3), 330–356. https://doi.org/10.1007/s11162-019-09564-w

28.

Parker

E. T.

III Trolian

T. L.

(2020). Student perceptions of the climate for diversity: The role of student–faculty interactions. Journal of Diversity in Higher Education, 13(4), 333. https://doi.org/10.1037/dhe0000132

29.

Pascarella

E. T.

(1980). Student-faculty informal contact and college outcomes. Review of Educational Research, 50(4), 545–595. https://doi.org/10.2307/1170295

30.

Pascarella

E. T.

Terenzini

P. T.

(2005). How College Affects Students: A Third Decade of Research (Vol. 2). Jossey-Bass, An Imprint of Wiley.

31.

Patton

M. Q.

(2014). Qualitative research & evaluation methods: Integrating theory and practice. Sage Publications.

32.

Rasmussen

Ellis

(2013). Who is switching out of calculus and why. In Lindmeier

A. M.

Heinze

(Eds.), Proceedings of the 37th conference of the international group for the psychology of mathematics education (pp. 73–80). PME. https://homepages.math.uic.edu/∼bshipley/Switching.Calculus.pdf

33.

Rasmussen

Marrongelle

Borba

M. C.

(2014). Research on calculus: What do we know and where do we need to go? ZDM, 46(4), 507–515. https://doi.org/10.1007/s11858-014-0615-x

34.

Rendon

L. I.

(1994). Validating culturally diverse students: Toward a new model of learning and student development. Innovative Higher Education, 19(1), 33–51. https://doi.org/10.1007/BF01191156

35.

Rendon Linares

Muñoz

S. M.

(2011). Revisiting validation theory: Theoretical foundations, applications, and extensions. Enrollment Management Journal, 2(1), 12–33.

36.

Riegle-Crumb

King

Irizarry

(2019). Does STEM stand out? Examining racial/ethnic gaps in persistence across postsecondary fields. Educational Researcher, 48(3), 133–144. https://doi.org/10.3102/0013189X19831006

37.

Rodriguez

Cunningham

Jordan

(2019). STEM Identity development for Latinas: The role of self-and outside recognition. Journal of Hispanic Higher Education, 18(3), 254–272. https://doi.org/10.1177/1538192717739958

38.

Sanabria

Penner

(2017). Weeded out? Gendered responses to failing calculus. Social Sciences, 6(2), 47. https://doi.org/10.3390/socsci6020047

39.

Sonnert

Sadler

P. M.

Sadler

S. M.

Bressoud

D. M.

(2015). The impact of instructor pedagogy on college calculus students’ attitude toward mathematics. International Journal of Mathematical Education in Science and Technology, 46(3), 370–387. https://doi.org/10.1080/0020739X.2014.979898

40.

Thiry

Weston

T. J.

Harper

R. P.

Holland

D. G.

Koch

A. K.

Drake

B. M.

(2019). Talking about leaving revisited: Persistence, relocation, and loss in undergraduate STEM education. Springer Nature. https://doi.org/10.1007/978-3-030-25304-2

41.

VERBI Software. (2021). MAXQDA 2022 [computer software]. VERBI Software. Available from maxqda.com.

42.

Vogt

C. M.

(2008). Faculty as a critical juncture in student retention and performance in engineering programs. Journal of Engineering Education, 97(1), 27–36. https://doi.org/10.1002/j.2168-9830.2008.tb00951.x

43.

Whitcomb

K. M.

Singh

(2021). Underrepresented minority students receive lower grades and have higher rates of attrition across STEM disciplines: A sign of inequity? International Journal of Science Education, 43(7), 1054–1089. https://doi.org/10.1080/09500693.2021.1900623

44.

Wilson

D. M.

Summers

Wright

(2020). Faculty support and student engagement in undergraduate engineering. Journal of Research in Innovative Teaching & Learning, 13(1), 83–101. https://doi.org/10.1108/JRIT-02-2020-0011

Beyond Teaching: Black and Hispanic Calculus Students Describe Interactions with Faculty

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