Abstract
Active learning practices, like groupwork, are becoming more widely used in post-secondary mathematics classrooms. These practices are often talk-intensive and require interpersonal interactions. As such, it remains an open question the extent to which practices like groupwork equitably support students with different social identities, including identities that center language. The goal of this paper is to use critical quantitative methodology to analyze the experiences of students in introductory college mathematics courses, particularly in courses that require peer collaboration. The data for this paper stems from surveys completed by 464 undergraduate students with different language backgrounds. The analysis identifies relationships that existed between the identities students brought to the classroom and the identities they developed in introductory mathematics courses. Using linear regression models, the study found that students’ comfort speaking during class and the language they preferred to do mathematics in were associated with practice-linked identities, like sense of belonging among peers. Findings also suggest an interaction between these variables and the frequency that students engaged in peer collaboration. This study contributes to the growing body of literature documenting how students with marginalized identities may have differential experiences with active learning practices, like groupwork.
Similar content being viewed by others
Notes
Social identities refer to identities that are based on membership to socially constructed categories like race, gender, language status, and so forth (Langer-Osuna & Esmonde, 2017).
While honoring how individual students choose to identify, I use the term Latino to describe this community. I recognize that Spanish is inherently gendered. It privileges male identities and is problematic for people who do not ascribe to binary gender roles. At the same time, the term Latinx primarily originated from universities in the United States and uses Anglo roots to 'fix' the Spanish language (García, 2020). For these reasons, I use the term Latino to describe the entire community and feel that pushes to make the Spanish language more inclusive should stem from the Spanish speaking world.
Multilingual student is used to refer to students whose home languages differ from the language of instruction. It strives to be asset-affirming compared to terms like English language learners (Translanguaging Study Group, 2020).
A Hispanic Serving Institution is a designation in the United States given to university where at least 25% of the student population identify as Hispanic or Latino/a/x.
Being multilingual was determined based on students’ responses to the following questions: selecting a language other than English as their home language, selecting a language other than English as their preferred language for doing math in, or reporting to be perceived by their peers as a nonnative speakers of English at least 50% of the time during interactions with others.
The correlation between factor scores estimated using weighted metrics and using average of response items were highly correlated with correlation coefficients \(>\) 0.9.
References
Abrahamson, D., Nathan, M. J., Williams-Pierce, C., Walkington, C., Ottmar, E. R., Soto, H., & Alibali, M. W. (2020). The future of embodied design for mathematics teaching and learning. Frontiers in Education (5).
Adiredja, A. P., & Andrews-Larson, C. (2017). Taking the sociopolitical turn in postsecondary mathematics education research. International Journal of Research in Undergraduate Mathematics Education, 3, 444–465.
Armbruster, P., Patel, M., Johnson, E., & Weiss, M. (2009). Active learning and student-centered pedagogy improve student attitudes and performance in introductory biology. CBE—Life Sciences Education, 8(3), 203–213.
Barwell, R., Clarkson, P., Halai, A., Kazima, M., Moschkovich, J., Planas, N., Mamokgethi Setati, P., Valero, P., & Ubillús, M. V. (2016). Introduction: An ICMI Study on language diversity in mathematics education. In R. Barwell, P. Clarkson, A. Halai, M. Kazima, J. Moschkovich, N. Planas, P. Mamokgethi Setati, P. Valero, & M. V. Ubillús (Eds.), Mathematics Education and Language Diversity (pp. 1–22). Springer.
Battey, D., Amman, K., Leyva, L. A., Hyland, N., & 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.
Birney, M. E., Rabinovich, A., Morton, T. A., Heath, H., & Ashcroft, S. (2020). When speaking English is not enough: The consequences of language-based stigma for nonnative speakers. Journal of Language and Social Psychology, 39(1), 67–86.
Biza, I., Giraldo, V., Hochmuth, R., Sadat Khakbaz, A., & Rasmussen, C. (2016). Research on teaching and learning mathematics at the tertiary level. Springer Nature.
Cass, C. A., Hazari, Z., Cribbs, J., Sadler, P. M., & Sonnert, G. (2011, October). Examining the impact of mathematics identity on the choice of engineering careers for male and female students. In Proceedings from 2011 Frontiers in Education Conference (pp. F2H-1). IEEE Publication. Rapid City, SD.
Castillo, W., & Gillborn, D. (2022). How to “QuantCrit”: Practices and questions for education data researchers and users. (EdWorkingPaper: 22-546). Annenberg Institute at Brown University.
Cohen, E. G., & Lotan, R. A. (2014). Designing groupwork: Strategies for the heterogeneous classroom third edition. Teachers College Press.
Cribbs, J. D., Hazari, Z., Sonnert, G., & Sadler, P. M. (2015). Establishing an explanatory model for mathematics identity. Child development, 86(4), 1048–1062.
Crenshaw, K. (1990). Mapping the margins: Intersectionality, identity politics, and violence against women of color. Stanford Law Reviews, 43, 1241.
Darragh, L. (2016). Identity research in mathematics education. Educational Studies in Mathematics, 93, 19–33.
DeCuir-Gunby, J. T. (2020). Using critical race mixed methodology to explore the experiences of African Americans in education. Educational Psychologist, 55(4), 244–255.
DiStefano, C., Zhu, M., & Mindrila, D. (2009). Understanding and using factor scores: Considerations for the applied researcher. Practical Assessment, Research, and Evaluation, 14(1), 20.
Dookie, L. (2015). Examining marginalizing acts of social positioning in mathematical group work: Towards a better understanding of how microaggressions and stereotype threat unfold in intergroup interactions. [Doctoral dissertation, University of Toronto].
Eddy, S. L., Brownell, S. E., Thummaphan, P., Lan, M. C., & Wenderoth, M. P. (2015). Caution, student experience may vary: social identities impact a student’s experience in peer discussions. CBE—Life Sciences Education, 14(4), ar45.
Ernest, J. B., Reinholz, D. L., & Shah, N. (2019). Hidden competence: Women’s mathematical participation in public and private classroom spaces. Educational Studies in Mathematics, 102(2), 153–172.
Esmonde, I., Brodie, K., Dookie, L., & Takeuchi, M. (2009). Social identities and opportunities to learn: Student perspectives on group work in an urban mathematics classroom. Journal of Urban Mathematics Education, 2(2), 18–45.
Esmonde, I. (2009a). Ideas and identities: Supporting equity in cooperative mathematics learning. Review of Educational research, 79(2), 1008–1043.
Esmonde, I. (2009c). Mathematics learning in groups: Analyzing equity in two cooperative activity structures. The Journal of the Learning Sciences, 18(2), 247–284.
Ferri, G., & Magne, V. (2021). Exploring the language ideology of nativeness in narrative accounts of English second language users in Montreal. Critical Inquiry in Language Studies, 18(3), 229–246.
García, I. (2020). Cultural insights for planners: Understanding the terms Hispanic, Latino, and Latinx. Journal of the American Planning Association, 86(4), 393–402.
García, N. M., López, N., & Vélez, V. N. (2018). QuantCrit: Rectifying quantitative methods through critical race theory. Race Ethnicity and Education, 21(2), 149–157.
Gillborn, D., Warmington, P., & Demack, S. (2018). QuantCrit: education, policy, ‘Big Data’and principles for a critical race theory of statistics. Race Ethnicity and Education, 21(2), 158–179.
Gutiérrez, R. (2008). Research commentary: A gap-gazing fetish in mathematics education? Problematizing research on the achievement gap. Journal for Research in Mathematics Education, 39(4), 357–364.
Gutiérrez, R. (2012). Context matters: How should we conceptualize equity in mathematics education? In Equity in discourse for mathematics education (pp. 17–33). Springer.
Gutiérrez, R. (2013). The sociopolitical turn in mathematics education. Journal for research in mathematics education, 44(1), 37–68.
Henning, J. A., Ballen, C. J., Molina, S., & Cotner, S. (2019). Hidden identities shape student perceptions of active learning environments. In Frontiers in Education, 4, 1–13.
Hurtado, S., Eagan, K., Pryor, J. H., Whang, H., & Tran, S. (2012). Undergraduate teaching faculty: The 2010–2011 HERI faculty survey. University of California, Los Angeles.
Hwang, J., Castle, S. D., & Karunakaran, S. S. (2021). One is the loneliest number: Groupwork within linguistically diverse classrooms. PRIMUS, 32(1), 1140–1152.
Johnson, E., Andrews-Larson, C., Keene, K., Melhuish, K., Keller, R., & Fortune, N. (2020). Inquiry and gender inequity in the undergraduate mathematics classroom. Journal for Research in Mathematics Education, 51(4), 504–516.
Kim, R., Roberson, L., Russo, M., & Briganti, P. (2019). Language diversity, nonnative accents, and their consequences at the workplace: Recommendations for individuals, teams, and organizations. The Journal of Applied Behavioral Science, 55(1), 73–95.
Lahdenperä, J., & Nieminen, J. H. (2020). How does a mathematician fit in? A mixed-methods analysis of university students’ sense of belonging in mathematics. International Journal of Research in Undergraduate Mathematics Education, 6(3), 475–494.
Langer-Osuna, J. M. (2017). Authority, identity, and collaborative mathematics. Journal for Research in Mathematics Education, 48(3), 237–247.
Langer-Osuna, J. M., & Esmonde, I. (2017). Identity in research on mathematics education. Compendium for research in mathematics education (pp. 637–648).
Larnell, G. V., Boston, D., & Bragelman, J. (2014). The stuff of stereotypes: Toward unpacking identity threats amid African American students’ learning experiences. Journal of Education, 194(1), 49–57.
Larnell, G. V. (2016). More than just skill: Examining mathematics identities, racialized narratives, and remediation among black undergraduates. Journal for Research in Mathematics Education, 47(3), 233–269.
Laursen, S. L., Hassi, M. L., Kogan, M., & Weston, T. J. (2014). Benefits for women and men of inquiry-based learning in college mathematics: A multi-institution study. Journal for Research in Mathematics Education, 45(4), 406–418.
Lee, D. K. (2016). Alternatives to P value: confidence interval and effect size. Korean Journal of Anesthesiology, 69(6), 555–562.
Leyva, L. A. (2016). An intersectional analysis of Latin@ College Women’s counter-stories in mathematics. Journal of Urban Mathematics Education, 9(2), 81–121.
Leyva, L. A., McNeill, R. T., Marshall, B. L., & Guzmán, O. A. (2021). “It seems like they purposefully try to make as many kids drop”: An analysis of logics and mechanisms of racial-gendered inequality in introductory mathematics instruction. The Journal of Higher Education, 92(5), 784–814.
Marian, V., Blumenfeld, H. K., & Kaushanskaya, M. (2007). The Language Experience and Proficiency Questionnaire (LEAP-Q): Assessing language profiles in bilinguals and multilinguals.
Martin, D. B. (2009). Researching race in mathematics education. Teachers College Record, 111(2), 295–338.
Mazerolle, M. J. (2017). Package “AICcmodavg.” Retrieved 5 Jan 2020, from https://cran.r-project.org/web/packages/AICcmodavg/AICcmodavg.pdf
McGee, E. O. (2015). Robust and fragile mathematical identities: A framework for exploring racialized experiences and high achievement among black college students. Journal for Research in Mathematics Education, 46(5), 599–625.
McGee, E. O., & Martin, D. B. (2011). “You would not believe what I have to go through to prove my intellectual value!” Stereotype management among academically successful Black mathematics and engineering students. American Educational Research Journal, 48(6), 1347–1389.
Moschkovich, J. (2007). Using two languages when learning mathematics. Educational studies in Mathematics, 64(2), 121–144.
Omi, M., & Winant, H. (2014). Racial formation in the United States. Routledge.
Oppland-Cordell, S., & Martin, D. B. (2015). Identity, power, and shifting participation in a mathematics workshop: Latin@ students’ negotiation of self and success. Mathematics Education Research Journal, 27(1), 21–49.
Planas, N. (2011). Language identities in students’ writings about group work in their mathematics classroom. Language and Education, 25(2), 129–146.
Planas, N., & Setati, M. (2009). Bilingual students using their languages in the learning of mathematics. Mathematics Education Research Journal, 21(3), 36–59.
Planas, N., & Civil, M. (2013). Language-as-resource and language-as-political: Tensions in the bilingual mathematics classroom. Mathematics Education Research Journal, 25(3), 361–378.
Reinholz, D., Johnson, E., Andrews-Larson, C., Stone-Johnstone, A., Smith, J., Mullins, B., Fortune, N., Keene, K., & Shah, N. (2022). When active learning is inequitable: Women’s participation predicts gender inequities in mathematical performance. Journal for Research in Mathematics Education, 53(3), 204–226.
Roberts, M. T. (2020). Racism in remediation: How black students navigate stereotypes to achieve success in developmental mathematics. Community College Journal of Research and Practice, 44(10–12), 701–721.
Shah, N. (2019). “Asians are good at math” is not a compliment: STEM success as a threat to personhood. Harvard Educational Review, 89(4), 661–686.
Smith, C. V., & Cardaciotto, L. (2011). Is active learning like broccoli? Student perceptions of active learning in large lecture classes. Journal of the Scholarship of Teaching and Learning, 11(1), 53–61.
Solomon, Y. (2007). Not belonging? What makes a functional learner identity in undergraduate mathematics? Studies in Higher Education, 32(1), 79–96.
Solomon, Y. (2012). Finding a voice? Narrating the female self in mathematics. Educational Studies in Mathematics, 80(1), 171–183.
Steele, C. M. (1997). A threat in the air: How stereotypes shape intellectual identity and performance. American psychologist, 52(6), 613.
Suzuki, S., Morris, S. L., & Johnson, S. K. (2021). Using QuantCrit to advance an anti-racist developmental science: Applications to mixture modeling. Journal of Adolescent Research, 36(5), 535–560.
Takeuchi, M. A. (2016). Friendships and group work in linguistically diverse mathematics classrooms: Opportunities to learn for English language learners. Journal of the Learning Sciences, 25(3), 411–437.
Theobald, E. J., Eddy, S. L., Grunspan, D. Z., Wiggins, B. L., & Crowe, A. J. (2017). Student perception of group dynamics predicts individual performance: Comfort and equity matter. PLoS One, 12(7), e0181336.
Theobald, E. J., Hill, M. J., Tran, E., Agrawal, S., Arroyo, E. N., Behling, S., Chambwe, D., Cooper, J., Dunster, G., Grummer, J., Hennessey, K., Hsiao, J., Iranon, N., Jones, L., Jordt, H., Keller, M., Lacey, M., Littlefield, C., Lowe, A., …, & Grummer, J. A. (2020). Active learning narrows achievement gaps for underrepresented students in undergraduate science, technology. Proceedings of the National Academy of Sciences, 117(12), 6476–6483.
Translanguaging Study Group. (2020). Translanguaging and the mathematics classroom. Teaching for Excellence and Equity in Mathematics, 11(2), 17.
Van Dusen, B., Nissen, J., Talbot, R. M., Huvard, H., & Shultz, M. (2021). A QuantCrit investigation of society’s educational debts due to racism and sexism in chemistry student learning. Journal of Chemical Education, 99(1), 25–34.
Van Dusen, B., & Nissen, J. (2022). How statistical model development can obscure inequities in STEM student outcomes. Journal of Women and Minoirities in Science and Engineering, 28(3), 27–58.
Voigt, M., Hagman, J. E., Street, C., Guglielmo, J., Martinez, A., & Tremaine, R. (2022). A quantitative critical analysis of instructional practices and math identity. In Karunakaran, S., Higgins, A. (Eds.), Proceedings from the 24th Annual Conference on Research in Undergraduate Mathematics Education (pp. 666-674). Boston, Massachusetts.
Walker, S. L., & Fraser, B. J. (2005). Development and validation of an instrument for assessing distance education learning environments in higher education: The Distance Education Learning Environments Survey (DELES). Learning Environments Research, 8(3), 289–308.
Zuberi, T., & Bonilla-Silva, E. (Eds.). (2008). White logic, white methods: Racism and methodology. Rowman & Littlefield Publishers.
Acknowledgement
The author wishes to thank Dr. Xueying Tang, Dr. Aditya Adiredja, and Dr. Marta Civil for their suggestions and support in developing this work.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of Interest
The corresponding author states that there is no conflict of interest and informed consent was obtained from human subjects for this research.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Electronic supplementary material
Below is the link to the electronic supplementary material.
Appendix. Demographic Information for Survey Respondents
Appendix. Demographic Information for Survey Respondents
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Rios, J. Language, Comfort Speaking, and Collaboration: A QuantCrit Analysis of Multilingual Students’ Experiences in Introductory College Mathematics Courses. Int. J. Res. Undergrad. Math. Ed. (2023). https://doi.org/10.1007/s40753-023-00230-2
Accepted:
Published:
DOI: https://doi.org/10.1007/s40753-023-00230-2