Abstract
This article brings critical and postcolonial theories together with extended ethnographic research in a predominantly Latinx high school in California’s “South Bay” to theorize the co-production and co-naturalization of mathematical and racial essentialization. Analysis of vignettes and interview excerpts illuminates both student uptake and resistance to homogenizing narratives of mathematics and racial personhood. Student voices from Sierra High School both evidenced the existence, stakes, and personal consequences of narrowly bounded, taken for granted, conceptions of mathematics and racial personhood and challenged these homogenizing categories. This paper contributes theory illuminating the co-construction of mathematical and racial essentialization along with examples of local critique and resistance from youth and their adult allies at one high school in the USA. Implications suggest that decolonial work in mathematics education must jointly address the narrow and essentializing frames for race and racialization and for mathematics itself as co-producing and co-naturalizing each other. This study contributes insight into mechanisms that perpetuate and also resist or disrupt these processes.
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The datasets generated during and/or analyzed during the current study are not publicly available due to confidentiality agreements between the researcher, IRB, the school district and school, and students and families.
Notes
“Title I” is a US federal designation based on the percentage of student families in lower income brackets, making the school eligible for funding for a school food program.
“DREAMers” references a US policy called the Dream Act that makes some immigrant youth who arrived in the US without legal authorization eligible for permanent resident status.
The notion of the “cunning” of legibility is rooted in Povinelli’s (2002) work on the cunning of recognition in which she examines the movement for multiculturalism in Australia and the politics of recognition.
References
Apple, M. W. (1993). What post-modernists forget: Cultural capital and official knowledge. Curriculum Stidies, 1(3), 301–316. https://doi.org/10.1080/0965975930010301
Atweh, B., & Cooper, T. (1995). The construction of gender, social class and mathematics in the classroom. Educational Studies in Mathematics, 28(3), 293–310. https://doi.org/10.1007/BF01274178
Battey, D., & Leyva, L. A. (2016). A framework for understanding whiteness in mathematics education. Journal of Urban Mathematics Education, 9(2), 49–80. https://doi.org/10.21423/jume-v9i2a294
Benjamin Banneker Association. (n.d). History of BBA. Retrieved August 10, 2023 from http://bbamath.org/index.php/history-of-bba/
Bhabha, H. K. (2012). The location of culture. Routledge.
Boaler, J., & Greeno, J. G. (2000). Identity, agency and knowing in mathematics worlds. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp 171–200). Ablex.
Butler, J. (1990). Gender trouble: Feminism and the subversion of identity. Routledge.
Collins, P. H. (2000). Black feminist thought: Knowledge, consciousness, and the politics of empowerment (2nd ed.). Routledge.
Creswell, J. W., & Poth, C. N. (2016). Qualitative inquiry and research design: Choosing among five approaches. Sage.
Dunleavy, T. K. (2018). High school algebra students busting the myth about mathematical smartness: Counterstories to the dominant narrative “get it quick and get it right.” Education Sciences, 8(2), 1–13. https://doi.org/10.3390/educsci8020058
Dussel, E. (1993). Eurocentrism and modernity (Introduction to the Frankfurt Lectures). Boundary 2, 20(3), 65–76. https://doi.org/10.2307/j.ctv1220hbk.8
Emerson, R. M., Fretz, R. I., & Shaw, L. L. (2011). Writing ethnographic fieldnotes. University of Chicago.
Frankenstein, M. (1983). Critical mathematics education: An application of Paulo Freire’s epistemology. The Journal of Education, 165(4), 315–339. https://doi.org/10.1177/002205748316500403
Gargroetzi, E. (2019). Introducing an ‘opportunities to identify’ framework. In S. Otten, A. G. Candela, Z. de Arujo, C. Haines, & C. Munter (Eds.), Proceedings of the forty-first annual meeting of the North American chapter of the international group for the psychology of mathematics education (pp. 1692–1696). University of Missouri.
Gargroetzi, E. C. (2020a). An ethnography of re/humanizing (math) pedagogies at a predominantly Latinx California high school. In (Eds.) Mathematics education across cultures: proceedings of the 42nd meeting of the North American chapter of the international group for the psychology of mathematics education, Mexico. Cinvestav / AMIUTEM / PME-NA. https://doi.org/10.51272/pmena.42.2020
Gargroetzi, E. C. (2020b). Becoming a Math Student in an American High School: An Ethnography of math, identity, and imagined futures.
Geertz, C. (1973). The interpretation of cultures (Vol. 5019). Basic books.
Gholson, M. L., & Wilkes, C. E. (2017). (Mis)taken identities: Reclaiming identities of the “Collective Black” in mathematics education research through an exercise in Black specificity. Review of Research in Education, 41(1), 228–252. https://doi.org/10.3102/0091732X16686950
Gresalfi, M. S. (2009). Taking up opportunities to learn: Constructing dispositions in mathematics classrooms. Journal of the Learning Sciences, 18(3), 327–369. https://doi.org/10.1080/10508400903013470
Gresalfi, M., Martin, T., Hand, V., & Greeno, J. (2009). Constructing competence: An analysis of student participation in the activity systems of mathematics classrooms. Educational Studies in Mathematics, 70, 49–70. https://doi.org/10.1007/s10649-008-9141-5
Grosfoguel, R. (2013). The structure of knowledge in Westernized universities: Epistemic racism / sexism and the four genocides / epistemicides of the Long 16th Century. Human Architecture: Journal of the Sociology of Self-Knowledge, X, I(1), 73–90.
Gutiérrez, R. (2007). (Re)defining equity: The importance of a critical perspective. In N. S. Nasir & P. Cobb (Eds.), Improving access to mathematics: Diversity and equity in the classroom (pp. 37–50). Teachers College.
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. https://doi.org/10.5951/jresematheduc.39.4.0357
Gutiérrez, R. (2013). The sociopolitical turn in mathematics education. Journal for Research in Mathematics Education, 44(1), 37–68. https://doi.org/10.5951/jresematheduc.44.1.0037
Gutiérrez, R. (2017). Political conocimiento for teaching mathematics. In S. E. Kastberg, A. M. Tyminski, A. E. Lischka, & W. B. Sanchez (Eds.), Building support for scholarly practices in mathematics methods (pp. 11–38). Information Age Publishing.
Gutstein, E. (2012). Mathematics as a weapon in the struggle. In O. Skovsmose & B. Greer (Eds.), Opening the cage: Critique and politics of mathematics education (pp. 23–48). Sense.
Hacking, I. (1982). Biopower and the avalanche of printed numbers. Biopower: Foucault and beyond (pp. 65–80).
Hacking, I. (2002). Making up people. In Historical ontology (pp. 99–114). Harvard Univeristy Press. https://doi.org/10.2307/j.ctv1n3x198.9
Hall, S. (1985). Signification, representation, ideology: Althusser and the post-structuralist debates. Critical Studies in Mass Communication, 2(2), 91–114. https://doi.org/10.1080/15295038509360070
Harris, C. I. (1993). Whiteness as Property. Harvard Law Review, 106(8), 1707–1791. https://doi.org/10.2307/1341787
hooks, b. (2014). Teaching to transgress. Routledge.
Inglis, M., & Foster, C. (2018). Five decades of mathematics education research. Journal for Research in Mathematics Education, 49(4), 462–500. https://doi.org/10.5951/jresematheduc.49.4.0462
Irizarry, Y. (2021). On track or derailed? Race, advanced math, and the transition to high school. Socius Sociological Research for a Dynamic World, 7, 1–21. https://doi.org/10.1177/2378023120980293
Jensen, E., Jones, N., Orozco, K, Medina, L., Perry, M. Bolender, B. & Battle, K. (2021, August 4). Measuring racial and ethnic diversity for the 2020 census. United States Census Bureau. https://www.census.gov/newsroom/blogs/random-samplings/2021/08/measuring-racial-ethnic-diversity-2020-census.html
Joseph, G. G. (1990). The politics of anti-racist mathematics. European Education, 67–75. https://doi.org/10.2753/EUE1056-4934260167
Kollosche, D. (2016). Criticising with Foucault: Towards a guiding framework for socio-political studies in mathematics education. Educational Studies in Mathematics, 91(1), 73–86. https://doi.org/10.1007/s10649-015-9648-5
Kozol, J. (2005). The shame of the nation: The restoration of apartheid schooling in America. Crown.
Ladson-Billings, G. (1997). It doesn't add up: African American students' mathematics achievement. Journal for Research in Mathematics Education, 28(6), 697–708.
LaMar, T., & Boaler, J. (2021). The importance and emergence of K-12 data science. Phi Delta Kappan, 103(1), 49–53.
Leonardo, Z., & Broderick, A. A. (2011). Smartness as property: A critical exploration of intersections between whiteness and disability studies. Teachers College Record, 113(10), 2206–2232. https://doi.org/10.1007/978-3-319-44087-3_33
Leonardo, Z. (2013). Race frameworks: A multidimensional theory of racism and education. Teachers College Press.
Lerman, S. (2000). The social turn in mathematics education research. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 19–44). Ablex.
Lindqvist, S. (2021). “Exterminate all the brutes”: One man’s odyssey into the Heart of Darkness and the origins of European genocide. The New Press.
Mahmud, T. (1998). Colonialism and modern constructions of race : A preliminary inquiry. University of Miami Law Review, 53(4), 1219–1246.
Martin, D. B. (2006). Mathematics learning and participation as racialized forms of experience: African American parents speak on the struggle for mathematics literacy. Mathematical Thinking & Learning: An International Journal, 8(3), 287–307.
Martin, D. B. (2009). Researching race in mathematics education. Teachers College Record, 111(2), 295–338. https://doi.org/10.1177/016146810911100208
Martin, D. B. (2012). Learning mathematics while black. Educational Foundations, 26, 47–66.
Martin, D. B. (2013). Race, racial projects, and mathematics education. Journal for Research in Mathematics Education, 44(1), 316–333. https://doi.org/10.5951/jresematheduc.44.1.0316
Martin, D. B., Gholson, M. L., & Leonard, J. (2010). Mathematics as gatekeeper: Power and privilege in the production of knowledge. Journal of Urban Mathematics Education, 3(2), 12–24. https://doi.org/10.21423/jume-v3i2a95
Martin, D. B., Price, P. G., & Moore, R. (2019). Refusing systemic violence against Black children: Toward a Black liberatory mathematics education. In J. Davis & C. C. Jett (Eds.), Critical race theory in mathematics education (pp. 32–55). Routledge.
McDermott, R. (1993). The acquisition of a child by a learning disability. In S. Chaiklin & J. Lave (Eds.), Understanding practice: Perspectives on activity and context (pp. 269–305). Cambridge.
McDermott, R. (1997). Achieving school failure 1972–1997. In G. Spindler (Ed.), Education and cultural process (3rd ed., pp. 110–135). Waveland Press.
Mignolo, W. D. (2007). Delinking: The rhetoric of modernity, the logic of coloniality and the grammar of de-coloniality. Cultural Studies, 21(2–3), 449–514. https://doi.org/10.1080/09502380601162647
Mignolo, W. (2003). The darker side of the Renaissance: Literacy, territoriality, and colonization. University of Michigan.
Morales-Doyle, D., & Gutstein, E. R. (2019). Racial capitalism and STEM education in Chicago Public Schools. Race Ethnicity and Education, 22(4), 525–544. https://doi.org/10.1080/13613324.2019.1592840
Morrison, T. (2007). Playing in the Dark. Vintage.
National Council of Teachers of Mathematics (NCTM). (1989). Curriculum and evaluation standards for school mathematics. NCTM.
Ngo, F. J., & Velasquez, D. (2020).Inside the math trap: Chronic math tracking from high school to community college. Urban Educationhttps://doi.org/10.1177/0042085920908912
Omi, M., & Winant, H. (2002). Racial formation. In P. Essed & D. T. Goldberg (Eds.), Race Critical Theories: Text and Context (pp. 123–145). Blackwell.
Pais, A., & Valero, P. (2012). Researching research: Mathematics education in the political. Educational Studies in Mathematics, 80, 9–24. https://doi.org/10.1007/s10649-012-9399-5
Philip, T. M., & Gupta, A. (2020). Emerging perspectives on the co-construction of power and learning in the learning sciences, mathematics education, and science education. Review of Research in Education, 44(1), 195–217. https://doi.org/10.3102/0091732X20903309
Povinelli, E. A. (2002). The cunning of recognition: Indigenous alterities and the making of Australian multiculturalism. Duke.
Pratt, M. L. (2007). Imperial eyes: Travel writing and transculturation. Routledge.
Quijano, A. (2000). Coloniality of power and Eurocentrism in Latin America. International Sociology, 15(2), 215–232. https://doi.org/10.1177/0268580900015002005
Raju, C. K. (2001). Computers, mathematics education, and the alternative epistemology of the calculus in the Yuktibhasa. Philosophy East and West, 51(3), 325–362. https://doi.org/10.1353/pew.2001.0045
Riegle-Crumb, C., King, B., & Irizarry, Y. (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
Rojas, C. (2016). Contesting the colonial logics of the international: Toward a relational politics for the pluriverse. International Political Sociology, 10(4), 369–382. https://doi.org/10.1093/ips/olw020
Rojas, C. (2002). Civilization and violence: Regimes of representation in nineteenth-century Colombia. University of Minnesota.
Rosa, J. (2019). Looking like a language, sounding like a race. Oxford.
Rothstein, R. (2017). The color of law: A forgotten history of how our government segregated America. Liveright.
Ruef, J. (2021). How Ms. Mayen and her students co-constructed good-at-math. Journal of Research in Mathematics Education, 52(2), 152–188. https://doi.org/10.1515/9781400839544.169
Said, E. W. (1979). Orientalism. Vintage.
Said, E. W. (2012). Culture and imperialism. Vintage.
Schoenfeld, A. H. (2004). The math wars. Educational Policy, 18(1), 253–286. https://doi.org/10.1177/0895904803260042
Scott, J. C. (2020). Seeing like a state: How certain schemes to improve the human condition have failed. Yale.
Shah, N. (2017). Race, ideology, and academic ability: A relational analysis of racial narratives in mathematics. Teachers College Record, 119(7), 1–42. https://doi.org/10.1177/016146811711900705
Shah, N., & Leonardo, Z. (2016). Learning discourses of race and mathematics in classroom interaction. In I. Esmonde & A. N. Booker (Eds.), Power and Privilege in the Learning Sciences (pp. 50–69). Routledge.
Skovsmose, O. (1994). Towards a critical mathematics education. Educational Studies in Mathematics, 27(1), 35–57. https://doi.org/10.1007/BF01284527
Spivak, G. C. (1988). Can the subaltern speak? In C. Nelson & L. Grossberg (Eds.), Marxism and the interpretation of culture (pp. 66–111). University of Illinois.
Stavrou, S. G., & Miller, D. (2017). Miscalculations: Decolonizing and anti-oppressive discourses in indigenous mathematics education. Canadian Journal of Education, 40(3), 92–122.
Stinson, D. W. (2017). Beyond white privilege: Toward white supremacy and settler colonialism in mathematics education. Journal of Urban Mathematics Education, 10(2), 1–7. https://doi.org/10.21423/jume-v10i2a348
Stinson, D. W., & Bullock, E. C. (2012). Critical postmodern theory in mathematics education research: A praxis of uncertainty. Educational Studies in Mathematics, 80(1–2), 41–55. https://doi.org/10.1007/s10649-012-9386-x
Tilly, C. (1998). Durable inequality. University of California.
TODOS Mathematics for All. (2003). TODOS mission and goals. Retrieved August 10, 2023 https://www.todos-math.org/mission-goals
Torres-Saillant, S. (2003). Inventing the race: Latinos and the ethnoracial pentagon. Latino Studies, 1, 123–151. https://doi.org/10.1057/palgrave.lst.8600005
Tuck, E., & Yang, K. W. (2021). Decolonization is not a metaphor. Tabula Rasa, 38, 61–111. https://doi.org/10.25058/20112742.n38.04
Urciuoli, B. (2013). Exposing prejudice: Puerto Rican experiences of language, race, and class. Waveland.
Varenne, H. & McDermott, R. (2018). Successful failure: The school America builds. Routledge.
Walkowiak, T. A., Pinter, H. H., & Berry, R. Q. (2017). A reconceptualized framework for ‘opportunity to learn’ in school mathematics. Journal of Mathematics Education at Teachers College, 8(1), 7–18. https://doi.org/10.7916/jmetc.v8il.800
Williams, B. (1989). A class act: Anthropology and the race to nation across ethnic terrain. Annual Review of Anthropology, 18(1), 401–444. https://doi.org/10.1146/annurev.anthro.18.1.401
Wolfe, P. (2006). Settler colonialism and the elimination of the native. Journal of Genocide Research, 8(4), 387–409. https://doi.org/10.1080/14623520601056240
Wolfe, P. (2016). Traces of history: Elementary structures of race. Verso Books.
Zavala, M. D. R. (2014). Latina/o youth’s perspectives on race, language, and learning mathematics. Journal of Urban Mathematics Education, 7(1), 55–87. https://doi.org/10.2134/jume-v7ila188
Acknowledgements
I thank Jennifer Osuna and Jonathan Rosa for their generous mentorship and specific feedback on this paper. This paper is dedicated to the young person who asked to be called Selina (2003–2019) who guided me through Sierra High School and whose brilliance shone with intensity in her life cut short.
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Financial support for dissertation research, from which this study draws, was generously provided by the Gerald J. Lieberman Fellowship and the Stanford Graduate School of Education Dissertation Support Grant.
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Gargroetzi, E.C. “You can’t just check the box”: the mathematics of ethnoracial contortions at a California high school. Educ Stud Math (2023). https://doi.org/10.1007/s10649-023-10258-5
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DOI: https://doi.org/10.1007/s10649-023-10258-5