Public common-sense assumptions about mathematics

Racing in a ma(th)rathon

Authors

DOI:

https://doi.org/10.34024/prometeica.2024.31.16408

Keywords:

discourses, mathematics learning, mathematics education

Abstract

Circulating public discourses about mathematics and mathematics learning shape how families and students make sense of their experiences with schooling. In the United States, these discourses can play a large role in how public education policy is developed due to the commitment of public school boards to hearing community voices as well as a recent (but not new) increase in the organization of well-funded conservative parent groups working to maintain–and exacerbate–the inequitable educational opportunities that persist in this country. In this paper we analyze public discourse around mathematics learning in one New York City local school board meeting. Using tools from interaction analysis, we examined the discourse surrounding a proposal to reinstate test-based screening for middle school admissions. We delineated two key features of “common-sense” assumptions around mathematics learning that circulated in this meeting–math learners stay on a one-dimensional learning trajectory, and with varying rates of advancement–and investigated how these assumptions played out in the construction of a figured world of “schooled mathematics.” We argue that the consequences that necessarily follow from these common-sense assumptions construct mathematics as hierarchical and fixed, placing learners on a one-dimensional learning trajectory.  Finally, we locate this set of emergent assumptions in the neoliberal racial project and consider the ways in which they shape a particular imagination of schooling and mathematics under neoliberalism.

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Author Biographies

  • Jasmine Y. Ma, New York University

     . 

  • Arundhati Velamur, New York University

    .  

  • Nurdan Turan, New York University

     . 

  • Ali R. Blake, Boston College

     . 

  • Lauren Vogelstein, New York University

     . 

  • Molly L. Kelton, Washington State University

     . 

  • Wendy Barrales, New York University

     . 

References

Bishop, A. J. (1990). Western mathematics: the secret weapon of cultural imperialism. Race & Class, 32(2), 51–65. https://doi.org/10.1177/030639689003200204

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 Publishing.

Bonastia, C. (2022). The battle nearer to home: The persistence of school segregation in New York City. Stanford University Press.

Chen, G. A. & Buell, J. Y. (2017). Of models and myths: Asian(Americans) in STEM and the neoliberal racial project. Race Ethnicity and Education, 21(5), 607-625. https://doi.org/10.1080/13613324.2017.137717

Community and Citywide Education Councils. (n.d.). NYC Department of Education. Retrieved February 10, 2023, from https://www.schools.nyc.gov/get-involved/families/Community-and-citywide-education-councils-cecs

D’Ambrosio, U. (1985). Ethnomathematics and its place in the history and pedagogy of mathematics. For the Learning of Mathematics, 5(1), 44-48.

Erickson, F., & Schultz, J. (1997). When is a context? Some issues and methods in the analysis of social competence. Mind, culture, and activity: Seminal papers from the laboratory of comparative human cognition, 22-31.

Ewing, E. L. (2018). Ghosts in the schoolyard: Racism and school closings on Chicago's South Side. University of Chicago Press.

Garfinkel, H. (1967). Studies in ethnomethodology. Polity Press.

Gresalfi, M., Martin, T., Hand, V. M., & Greeno, J. (2009). Constructing competence: an analysis of student participation in the activity systems of mathematics classrooms. Educational Studies in Mathematics, 70(1), 49–70. https://doi.org/10.1007/s10649-008-9141-5

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. (2018). The need to rehumanize mathematics. In I. Goffney, R. Gutiérrez, & M. Boston (Eds.), Rehumanizing mathematics for black, indigenous, and Latinx students (pp. 1–10). National Council of Teachers of Mathematics.

Gutierrez, R (2019). Mathematx: Towards a Way of Being. In J.Subramanian (Ed), Proceedings of the 10th International Mathematics Education and Society Conference. Hyderabad, India. Volume 1. Tredition. https://www.mescommunity.info/proceedings/MES10.pdf

Holland, D., Lachicotte Jr, W. S., Skinner, D., & Cain, C. (1998). Identity and agency in cultural worlds. Harvard University Press.

Horn, I. S. (2007). Fast kids, slow kids, lazy kids: Framing the mismatch problem in mathematics teachers’ conversations. The Journal of the Learning Sciences, 16(1), 37-79.

Horn, I. S. (2012). Strength in numbers: Collaborative learning in secondary mathematics. National Council of Teachers of Mathematics.

Jackson, K. J. (2009). The social construction of youth and mathematics: The case of a fifth-grade classroom. In D. B. Martin (Ed.), Mathematics teaching, learning, and liberation in the lives of Black children (pp. 175–199). Routledge.

Jordan, B., & Henderson, A. (1995). Interaction analysis: Foundations and practice. Journal of the Learning Sciences, 4(1), 39–103. https://doi.org/10.1207/s15327809jls0401_2

Kaput, J. J. (2008). What is algebra? What is algebraic reasoning? In J. J. Kaput, D.W. Carraher, & M. L. Blanton, (Eds.), Algebra in the early grades (pp. 5–17). Lawrence Erlbaum Associates.

Ma, J. Y., Della Volpe, D., Velamur, A., Ahmed, S. Z., & Ohm, P. (2021). Interrogating common-sense assumptions toward a more just mathematics education. In D. Kollosche (Ed.), Exploring new ways to connect: Proceedings of the Eleventh International Mathematics Education and Society Conference (Vol. 1, pp. 103–106). Tredition. https://doi.org/10.5281/zenodo.5385706

Schutz, A. (1953). Common-sense and scientific interpretation of human action. Philosophy and Phenomenological Research, 14(1), 1–38.

Sfard, A. (1998). On two metaphors for learning and the dangers of choosing just one. Educational Researcher, 27(2), 4–13. http://edr.sagepub.com/content/27/2/4.full.pdf

Sparks, S.D. (2015, January 28). Differentiated Instruction: A Primer. Education Week. https://www.edweek.org/teaching-learning/differentiated-instruction-a-primer/2015/01

Stanford, L. (2022, November 16). Conservative Advocates Vow Continued Push for School Board Seats Despite Middling Midterms. Education Week. https://www.edweek.org/leadership/conservative-advocates-vow-continued-push-for-school-board-seats-despite-middling-midterms/2022/11

Vossoughi, S., & Vakil, S. (2018). Toward what ends? A critical analysis of militarism, equity, and STEM education. In A. I. Ali & T. L. Buenavista (Eds.), Education at war: The fight for students of color in America’s public schools (pp. 117–140). Fordham University Press.

Published

2024-11-29

How to Cite

Ma, J. Y., Velamur, A., Turan, N., Ali R. Blake, Lauren Vogelstein, Molly L. Kelton, & Wendy Barrales. (2024). Public common-sense assumptions about mathematics: Racing in a ma(th)rathon. Prometeica - Journal of Philosophy and Science, 31, 326-335. https://doi.org/10.34024/prometeica.2024.31.16408
Received 2024-03-08
Accepted 2024-11-12
Published 2024-11-29