Abstract
This paper explores peer interactions in an elementary mathematics classroom (ages 9–10) where the teacher intentionally shared authority with her students and supported them in learning to share authority with one another. Authors examine how students shifted between shared, concentrated, and contested social and intellectual authority relations in partner and small group work during a three-week unit on place value. Findings show that (a) students were able to share both social and intellectual authority, and did so often; (b) the distribution of social authority was more dynamic than that of intellectual authority; and (c) when groups shifted into shared intellectual authority, shifts were usually preceded by a student making some aspect of the collaborative task public. We connect these findings to research on authority in mathematics classrooms that serve racially and linguistically minoritized students and offer directions for future work.
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References
Alrø, H., & Skovsmose, O. (2006). Dialogue and learning in mathematics education: Intention, reflection, critique (Vol. 29). Springer Science & Business Media.
Amit, M., & Fried, M. N. (2005). Authority and authority relations in mathematics education: A view from an 8th grade classroom. Educational Studies in Mathematics, 58(2), 145–168.
Barron, B. (2003). When smart groups fail. The Journal of the Learning Sciences, 12(3), 307–359.
Boaler, J. (2002). Experiencing school mathematics: Traditional and reform approaches to teaching and their impact on student learning. Routledge.
Boaler, J., & Greeno, J. G. (2000). Identity, agency, and knowing in mathematics worlds. Multiple perspectives on mathematics teaching and learning, 1, 171–200.
Cobb, P. (1995). Mathematical learning and small-group interaction: Four case studies. In P. Cobb & H. Bauersfeld (Eds.), The emergence of mathematical meaning: Interaction in classroom cultures. Psychology Press.
Cobb, P., Gresalfi, M., & Hodge, L. L. (2009). An interpretive scheme for analyzing the identities that students develop in mathematics classrooms. Journal for Research in Mathematics Education, 40(1), 40–68.
Cohen, E. G., & Lotan, R. A. (1997). Working for equity in heterogeneous classrooms: Sociological theory in practice. Sociology of Education Series. New York: Teachers College Press.
Davies, B. (1982). Life in the classroom and playground: The accounts of primary school children. Routledge.
Engle, R. A., & Conant, F. R. (2002). Guiding principles for fostering productive disciplinary engagement: Explaining an emergent argument in a community of learners classroom. Cognition and Instruction, 20(4), 399–483. https://doi.org/10.1207/S1532690XCI2004_1
Engle, R. A., Langer-Osuna, J. M., & McKinney de Royston, M. (2014). Toward a model of influence in persuasive discussions: Negotiating quality, authority, privilege, and access within a student-led argument. Journal of the Learning Sciences, 23, 245–268. https://doi.org/10.1080/10508406.2014.883979
Ernest, P. (2008). Epistemology plus values equals classroom image of mathematics. Philosophy of Mathematics Education Journal, 23, 1–12.
Esmonde, I., & Langer-Osuna, J. M. (2013). Power in numbers: Student participation in mathematical discussions in heterogeneous spaces. Journal for Research in Mathematics Education, 44(1), 288–315.
Fosnot, C. (2007). Contexts for learning mathematics: The t-shirt factory. Portsmouth: Heinemann.
Gagniuc, P. A. (2017). Markov chains: From theory to implementation and experimentation. John Wiley & Sons.
Gerson, H., & Bateman, E. (2010). Authority in an agency-centered, inquiry-based university calculus classroom. The Journal of Mathematical Behavior, 29(4), 195–206.
Glaser, B. G. (1965). The constant comparative method of qualitative analysis. Social Problems, 12(4), 436–445.
Gresalfi, M. S., & Cobb, P. (2006). Cultivating students’ discipline-specific dispositions as a critical goal for pedagogy and equity. Pedagogies, 1(1), 49–57.
Hamm, J. V., & Perry, M. (2002). Learning mathematics in first-grade classrooms: On whose authority? Journal of Educational Psychology, 94(1), 126–137.
Herbel-Eisenmann, B., Wagner, D., & Cortes, V. (2010). Lexical bundle analysis in mathematics classroom discourse: The significance of stance. Educational Studies in Mathematics, 75(1), 23–42.
Jordan, B., & Henderson, A. (1995). Interaction analysis: Foundations and practice. The Journal of the Learning Sciences, 4(1), 39–103.
Kotsopoulos, D. (2014). The case of Mitchell’s cube: Interactive and reflexive positioning during collaborative learning in mathematics. Mind, Culture, and Activity, 21(1), 34–52.
Langer-Osuna, J. M. (2011). How Brianna became bossy and Kofi came out smart: Understanding the trajectories of identity and engagement for two group leaders in a project-based mathematics classroom. Canadian Journal of Science, Mathematics and Technology Education, 11(3), 207–225.
Langer-Osuna, J. M. (2015). From getting “fired” to becoming a collaborator: A case of the coconstruction of identity and engagement in a project-based mathematics classroom. Journal of the Learning Sciences, 24(1), 53–92.
Langer-Osuna, J. M. (2016). The social construction of authority among peers and its implications for collaborative mathematics problem solving. Mathematical Thinking and Learning, 18(2), 107–124.
Langer-Osuna, J. M., & Avalos, M. A. (2015). “I’m trying to figure this out. Why don't you come up here?”: Heterogeneous talk and dialogic space in a mathematics discussion. ZDM: The International Journal on Mathematics Education, 47(7), 1313–1322
Langer-Osuna, J., Gargroetzi, E., Munson, J., & Chavez, R. (2020). The productive functions of off-task talk: Access, recruitment, and maintenance of the collaborative problem-solving process. Journal of Educational Psychology, 112(3), 514–542.
R Core Team. (2018). R: A language and environment for statistical computing. In R Foundation for Statistical Computing. Vienna, Austria. https://www.R-project.org/
Stein, M. K., Engle, R. A., Smith, M. S., & Hughes, E. (2008). Orchestrating productive mathematical discussions: Five practices for helping teachers move beyond show and tell. Mathematical Thinking and Learning, 10, 313–340.
Wagner, D., & Herbel-Eisenmann, B. (2014). Identifying authority structures in mathematics classroom discourse: A case of a teacher’s early experience in a new context. ZDM, 46(6), 871–882.
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).
Weber, M. (1947). The theory of social and economic organization. (A. M. Henderson & T. Parsons, Trans). New York: Oxford University Press.
Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27(4), 458–477.
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This study was funded by Private Donor Grant to the Center to Support Excellence in Teaching (CSET) at Stanford’s Graduate School of Education.
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Langer-Osuna, J., Munson, J., Gargroetzi, E. et al. “So what are we working on?”: how student authority relations shift during collaborative mathematics activity. Educ Stud Math 104, 333–349 (2020). https://doi.org/10.1007/s10649-020-09962-3
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DOI: https://doi.org/10.1007/s10649-020-09962-3