Abstract
In recent years, equity- and social justice-oriented discourses in mathematics education have been working to move the field toward an understanding of mathematics education as inherently and simultaneously social and political. Critical to this movement is the development of concepts that support scholarship, policy, and practice that are oriented toward equity and social justice. In this chapter, we propose a framework that engages scholarship in mathematics education, urban education, critical geography, and urban sociology. The resulting socio-spatial framework for urban mathematics education features a visual schematic that locates mathematics teaching and learning—vis-à-vis a mathematics-instructional triad—within a system of socio-spatial considerations relevant to US urban contexts. We situate the math-instructional triad amid a three-dimensional frame. Representing the first axis, we describe established categories of social significations or urban education: urban-as-sophistication, urban-as-pathology, and urban-as-authenticity. The concepts that represent the second (spatial) axis are drawn from considerations of how space is continually constructed: empirical space, interactive-connective space, image space, and place space. The third axis concerns the various moments and perspectives that have evolved and continue to unfold in mathematics education practice, scholarship, and policy. Particularly, we draw on recent depictions of the field’s “moments”: the process-product, interpretivist-constructivist, social turn, and sociopolitical turn. Finally, we use the urban system initiatives sponsored by the National Science Foundation in the 1990s to illustrate the elements of the framework and to demonstrate how the framework can help the field to clarify the relationship between the arrangements of spatial geography and distribution of social opportunity.
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References
Aguirre, J. M., Mayfield-Ingram, K., & Martin, D. B. (2013). The impact of identity in K-8 mathematics: Rethinking equity-based practices. Reston, VA: National Council of Teachers of Mathematics.
Anyon, J. (1997). Ghetto schooling: A political economy of urban educational reform. New York: Teachers College Press.
Arias, S. (2010). Rethinking space: An outsider’s view of the spatial turn. GeoJournal, 75(1), 29–41.
Arum, R. (2000). Schools and communities: Ecological and institutional dimensions. Annual Review of Sociology, 26, 395–418.
Berry, R. Q., III, Ellis, M. W., & Hughes, S. (2014). Examining a history of failed reforms and recent stories of success: Mathematics education and Black learners of mathematics in the United States. Race Ethnicity and Education, 17(4), 540–568.
Borman, K. M., Cotner, B., Baber, M. Y., Boydston, T., Katzenmeyer, W., Kersaint, G., et al. (2004). Rhetoric versus reality in educational reform: The case of the National Science Foundation’s urban systemic initiative. Journal of Educational Change, 5(3), 249–266.
Chazan, D., Brantlinger, A., Clark, L. M., & Edwards, A. R. (2013). What mathematics education might learn from the work of well-respected African American mathematics teachers in urban schools. Teachers College Record, 115(2), 1–40.
Clark, L. M., Frank, T. J., & Davis, J. (2013). Conceptualizing the African American mathematics teacher as a key figure in the African American education historical narrative. Teachers College Record, 115(2), 1–29.
Cohen, D. K., & Ball, D. L. (2000). Instructional innovation: Reconsidering the story. The study of instructional improvement working paper. Ann Arbor, MI: The University of Michigan.
Cohen, D. K., Raudenbush, S. W., & Ball, D. L. (2003). Resources, instruction, and research. Educational Evaluation and Policy Analysis, 25(2), 119–142.
Darling-Hammond, L. (2013). Foreword. In H. R. Milner IV & K. Lomotey (Eds.), Handbook of urban education (pp. xi–xiii). New York: Routledge.
Fischer, C. S. (2013). Theories of urbanism. In J. Lin & C. Mele (Eds.), The urban sociology reader (2nd ed., pp. 42–49). London: Routledge.
Gholson, M., & Martin, D. B. (2014). Smart girls, black girls, mean girls, and bullies: At the intersection of identities and the mediating role of young girls’ social network in mathematical communities of practice. The Journal of Education, 194(1), 19–33.
Gutiérrez, R. (2002). Enabling the practice of mathematics teachers in context: Toward a new equity research agenda. Mathematical Thinking and Learning, 4(2&3), 145–187.
Gutiérrez, R. (2013). The sociopolitical turn in mathematics education. Journal for Research in Mathematics Education, 44(1), 37–68.
Gutstein, E., Fey, J. T., Heid, M. K., DeLoach-Johnson, I., Middleton, J. A., Larson, M., et al. (2005). Equity in school mathematics education: How can research contribute. Journal for Research in Mathematics Education, 36(2), 92–100.
Johnson, O. D., Jr. (2012). Toward a theory of place: Social mobility, proximity, and proximal capital. In W. F. Tate (Ed.), Research on schools, neighborhoods, and communities: Toward civic responsibility (pp. 29–46). Lanham, MD: Rowman & Littlefield.
Knapp, M. S. (1997). Between systemic reforms and the mathematics and science classroom: The dynamics of innovation, implementation, and professional learning. Review of Educational Research, 67(2), 227–266.
Larnell, G. V., Bullock, E. C., & Jett, C. C. (2016). Rethinking teaching and learning mathematics for social justice from a critical race perspective. The Journal of Education, 196(1), 19–29.
Leonardo, Z., & Hunter, M. (2007). Imagining the urban: The politics of race, class, and schooling. In W. T. Pink & W. Noblit (Eds.), International handbook of urban education (pp. 779–802). Dordrecht, The Netherlands: Springer.
Lerman, S. (2000). The social turn in mathematics education research. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 19–44). Westport, CT: Ablex Publishing.
Martin, D. B. (2000). Mathematics success and failure among African-American youth: The roles of sociohistorical context, community forces, school influence, and individual agency. Mahwah, NJ: Lawrence Erlbaum.
Martin, D. B. (2003). Hidden assumptions and unaddressed questions in mathematics for all rhetoric. The Mathematics Educator, 13(2), 7–21.
Martin, D. B. (2009). Researching race in mathematics education. Teachers College Record, 111(2), 295–338.
Martin, D. B., & Larnell, G. V. (2013). Urban mathematics education. In H. R. Milner IV & K. Lomotey (Eds.), Handbook of urban education (pp. 373–393). New York: Routledge.
Meyer, M., & Secada, W. (1989). Needed: An agenda for equity in mathematics education. Peabody Journal of Education, 66(2), 1–5.
Milner, H. R., IV. (2012). But what is urban education? Urban Education, 47(3), 556–561.
Milner, H. R., IV, & Lomotey, K. (2013). Introduction. In H. R. Milner IV & K. Lomotey (Eds.), Handbook of urban education (pp. xv–xxiii). New York: Routledge.
National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
National Council of Teachers of Mathematics. (1991). Professional standards for teaching mathematics. Reston, VA: Author.
National Council of Teachers of Mathematics. (1994). Assessment standards for school mathematics. Reston, VA: Author.
National Governors Association Center for Best Practice & Council of Chief State School Officers. (2010). Common core state standards initiative: About the standards. Retrieved on November 28, 2017, from http://www.corestandards.org/about-the-standards
Rousseau Anderson, C. (2014). Place matters: Mathematics education reform in urban schools. Journal of Urban Mathematics Education, 7(1), 7–19.
Secada, W. G. (1989). Agenda setting, enlightened self-interest, and equity in mathematics education. Peabody Journal of Education, 66(2), 22–56.
Soja, E. (1980). The socio-spatial dialectic. Annals of the Association of American Geographers, 70(2), 207–225.
Soja, E. (2012). Seeking spatial justice. Minneapolis, MN: University of Minnesota Press.
Stein, M. K., Smith, M. S., Henningen, M. A., & Silver, E. A. (2009). Implementing standards-based mathematics instruction: A casebook for professional development (2nd ed.). New York: Teachers College Press.
Stevenson, Z., Dantley, S. J., & Holcomb, Z. J. (1999). Factors influencing the retention of mathematics and science teachers in urban systemic initiative school districts: Administrative perspectives. The Journal of Negro Education, 68(3), 442–450.
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.
Stinson, D. W., & Bullock, E. C. (2015). Critical postmodern methodology in mathematics education research: Promoting another way of thinking and looking. Philosophy of Mathematics Education Journal, 29, 1–18.
Tate, W. F., IV. (1996). Urban schools and mathematics reform: Implementing new standards. Urban Education, 30(4), 371–378.
Tate, W. F. (2008). Putting the “urban” in mathematics education scholarship. Journal of Urban Mathematics Education, 1(1), 5–9.
Tate, W. F. (2016, April 15). DIVERGENT: Supporting “factionless” and underserved students in mathematics education. Iris M. Carl Equity Address at the annual meeting of the National Council of Teachers of Mathematics, San Francisco.
Thrift, N. (2003). Space: The fundamental stuff of geography. In S. L. Holloway, S. P. Rice, & G. Valentine (Eds.), Key concepts in geography (pp. 95–107). London: Sage.
Valenzuela, A. (1999). Subtractive schooling: U.S.-Mexican youth and the politics of caring. Albany, NY: State University of New York Press.
Valero, P. (2012). A socio-political look at equity in the school organization of mathematics education. In H. Forgasz & F. Rivera (Eds.), Towards equity in mathematics education (pp. 373–387). Berlin, Germany: Springer.
Walker, E. N. (2007a). Preservice teachers’ perceptions of mathematics teaching in urban schools. The Urban Review, 39(5), 519–540.
Walker, E. N. (2007b). The structure and culture of developing a mathematics tutoring collaborative in an urban high school. The High School Journal, 91(1), 57–67.
Walker, E. N. (2012). Cultivating mathematics identities in and out of school and in between. Journal of Urban Mathematics Education, 5(1), 66–83.
Warf, B., & Arias, S. (2009). Introduction: The reinsertion of space into the social sciences and humanities. In B. Warf & S. Arias (Eds.), The spatial turn: Interdisciplinary perspectives (pp. 1–10). New York: Routledge.
Washington, D., Torres, Z., Gholson, M., & Martin, D. B. (2012). Crisis as a discursive frame in mathematics education research and reform: Implications for educating black children. In S. Mukhopadhyay & W. M. Roth (Eds.), Alternative forms of knowing (in) mathematics (pp. 53–69). Dordrecht, The Netherlands: Sense Publishers.
Weissglass, J. (2002). Inequity in mathematics education: Questions for educators. Mathematics Educator, 12(2), 34–43.
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Larnell, G.V., Bullock, E.C. (2018). A Socio-spatial Framework for Urban Mathematics Education: Considering Equity, Social Justice, and the Spatial Turn. In: Bartell, T. (eds) Toward Equity and Social Justice in Mathematics Education. Research in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-92907-1_3
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