Abstract
The growing body of empirical studies on discourse in mathematics education have drawn on, broadly, sociocultural or situated views of learning but do not make issues of power central and/or explicit. For this reason, then, we situate the present analysis within the intersection of two bodies of literature: professional development focused on mathematics classroom discourse and Foucauldian analyses of power relations. In our poststructural analysis of a mathematics classroom, we interrogate the use of surveillance and its relation to meaningful mathematical discourse. Using Foucault’s techniques of surveillance and modalities of power, we analyze videos from one teacher-researcher’s (TR) classroom at two snapshots in time to answer the questions: What happens to a mathematics TR’s use of teacher discourse moves (TDMs) and surveillance practices across three years of doing action research on their classroom discourse? and How might we know whether these TDMs are doing ‘good’ things in the classrooms? Our findings show the complex ways that a TR’s work on classroom discourse is intertwined with modes of power and techniques of surveillance. First, we found that shushing and silencing, normalized as a part of teaching, decreases when a teacher positively values the use of (mathematical) language by students. This decrease in shushing and silencing details what we understand to be ‘the good’ and constitutes the primary finding of this study as we seek to expand what is understood by enhancing student language: an overall increase in language use by students and an overall increase in their use of mathematical language.
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Notes
This material is based upon work done while Beth Herbel-Eisenmann was serving at the National Science Foundation. Any opinion, findings, conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of NSF.
We use the teacher-researcher’s name with her permission.
We use Beth’s name to recognize that this is her brief re-telling of this story. We do not claim that the TRs, graduate students, or others involved would agree with or tell the same story. Additionally, we use the word with teachers to highlight our commitment to do scholarship with and alongside partners as opposed to on them. This research was supported with funding from the National Science Foundation [(NSF), Grant No. 0347906]. Any opinions, findings, and conclusions or recommendations expressed in this article are those of the authors and do not necessarily reflect the views of the NSF.
The research reported in this article was supported with funding from the National Science Foundation [NSF], Award #0918117. Any opinions, findings, and conclusions or recommendations expressed in this article are those of the authors and do not necessarily reflect the views of NSF.
This quote of Foucault comes from a personal correspondence between Foucault and Dreyfus & Rabinow included on page 187 of their book Michel Foucault: Beyond Structuralism and Hermeneutics. We include the citation in square brackets since Hardy accidentally cited this as (Foucault & Deleuze, 1972, p. 208) and we merely wish to provide the corrected citation for our readers.
The idea to call a grouping of studies “reconceptualist” was building on curriculum studies who used this term to identify work that had the goal “to critique the ideologies of the individual and the group that were being promoted by conservative, liberal, and radical groups and to bring them forward for deliberation and transformation” (Grumet 1989, p. 13). This particular group of curriculum theorists tended to draw on critical, poststructuralist, psychoanalytic, and phenomenological traditions and later, feminist theories. In retrospect, Beth sees this as a missed opportunity in that review because of the important and different contributions these various studies have made.
References
Anderson, K. (2009). Applying positioning theory to the analysis of classroom interactions: Mediating micro-identities, macro-kinds, and ideologies of knowing. Linguistics and Education, 20, 291–310.
Applebaum, P. (2014). Nomadic ethics and regimes of truth. For the Learning of Mathematics, 34(3), 16–18.
Ball, D. L. (1993). With an eye on the mathematical horizon: Dilemmas of teaching elementary school mathematics. The Elementary School Journal, 93(4), 373–397.
Bishop, J. P. (2012). “She’s always been the smart one. I’ve always been the dumb one”: Identities in the mathematics classroom. Journal for Research in Mathematics Education, 43(1), 34–74.
Borden, L. L. (2011). The “verbification” of mathematics: Using the grammatical structures of Mi’kmaq to support student learning. For the Learning of Mathematics, 31(3), 8–13.
Boylan, M. (2016). Ethical dimensions of mathematics education. Educational Studies in Mathematics, 92, 395–409.
Brown, T., Hanley, U., Darby, S., & Calder, N. (2007). Teachers’ conceptions of learning philosophies: Discussing context and contextualising discussion. Journal of Mathematics Teacher Education, 10(3), 183–200.
Busby, L., Goff, C., Hanton, D., Herbel-Eisenmann, B., Jones, L., Loeffert, C., Pyne, E., & Wheeler, J. (2017). Supporting powerful discourse through collaboration and action research. In A. Fernandes, S. Crespo, & M. Civil (Eds.), Access and Equity: Promoting high quality mathematics in grades 6–8 (pp. 59–76). NCTM.
Cavanna, J., Herbel-Eisenmann, B., & Seah, W. T. (2015). Investigating teachers’ appraisal of unexpected moments and underlying values: An exploratory case in the context of changing mathematics classroom discourse. Research in Mathematics Education, 17(3), 163–182.
Chapin, S. H., O’Connor, M. C., & Anderson, N. C. (2003). Classroom discussions: Using math talk to help students learn. Math Solutions Publications.
Chronaki, A., & Planas, N. (2018). Language diversity in mathematics education research: A move from language as representation to politics of representation. ZDM, 50, 1101–1111.
Delpit, L., & Dowdy, J. K. (Eds.). (2000). The skin that we speak. The New Press.
Dowling, P. (1991). Gender, class, and subjectivity in mathematics: A critique of Humpty Dumpty. For the Learning of Mathematics, 11(1), 2–8.
Dreyfus, H. L., & Rabinow, P. (1982). Michel Foucault: Beyond structuralism and hermeneutics. The University of Chicago Press.
Erath, K., Ingram, J., Moschkovich, J., & Prediger, S. (2021). Designing and enacting instruction that enhances language for mathematics learning – A review of the state of development and research. ZDM Mathematics Education, 53(3).
Esmonde, I. (2009). Mathematics learning in groups: Analyzing equity in two cooperative activity structures. Journal of the Learning Sciences, 18(2), 247–284.
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.
Foucault, M. (1977). Discipline and punish: The birth of the prison. Pantheon Books.
Foucault, M. (1980). Power/knowledge: Selected interviews and other writings, 1972–1977. Pantheon Books.
Foucault, M. (1984). The ethics of the concern for self as a practice of freedom. In P. Rabinow (Ed.), Michel Foucault: Ethics subjectivity and truth (pp. 281–302). Allen Lane.
Foucault, M., & Deleuze, G. (1972). Intellectuals and power: A conversation between Michel Foucault and Gilles Deleuze. In D. Bouchard (Ed.), Language, counter-memory, practice: Selected essays and interviews (Trans: D. Bouchard & S. Simon,1997) (pp. 218-233). New York: Cornell University Press.
Gee, J. P. (2011). How to do discourse analysis: A toolkit. Routledge.
Graves, B., & Zack, V. (1997). Collaborative mathematical reasoning in an inquiry classroom. In E. Pehkonnen (Ed.), Proceedings of the twenty-first annual conference of the international group for the psychology of mathematics education (pp. 17–24). PME.
Green, J., Franquiz, M., & Dixon, C. (1997). The myth of the objective transcript: Transcribing as a situated act. TESOL Quarterly, 31(1), 172–176.
Grumet, M. R. (1989). Generations: Reconceptualist curriculum theory and teacher education. Journal of Teacher Education, 40(1), 13–17.
Gutiérrez, R. (2013). The sociopolitical turn in mathematics education. Journal for Research in Mathematics Education, 44(1), 37–68.
Gutiérrez, R., & Dixon-Román, E. (2011). Beyond gap gazing: How can thinking about education comprehensively help us (re)envision mathematics education? Mapping equity and quality in mathematics education (pp. 21–34). Springer.
Hardy, T. (2004). “There’s no hiding place”: Foucault’s notion of normalization at work in a mathematics lesson. In M. Walshaw (Ed.), Mathematics education within the postmodern (pp. 103–119). Information Age Publishing.
Herbel-Eisenmann, B., Busby, L., & Hanton, D. (2020). Putting positioning to work towards powerful mathematics classroom discourse [Invited Lecture]. Herman + Rasiej Mathematics Initiative and USC Rossier School of Education Lectures in Mathematics Education. Retrieved December 8, 2020 from https://youtu.be/8IJrmPyMZfM.
Herbel-Eisenmann, B., Cirillo, M., Steele, M. D., Otten, S., & Johnson, K. R. (2017). Mathematics discourse in secondary classrooms: A practice-based multimedia resource for professional learning. Math Solutions.
Herbel-Eisenmann, B., Meaney, T., Bishop Pierson, J., & Heyd-Metzuyanim, E. (2017). Highlighting heritages and building tasks: A critical analysis of mathematics classroom discourse literature. In J. Cai (Ed.), First compendium for research in mathematics education (pp. 142–185). National Council of Teachers of Mathematics.
Herbel-Eisenmann, B., & Shah, N. (2019). Detecting and mitigating bias in our questioning patterns. Mathematics Teaching in the Middle School, 24(5), 282–289.
Herbel-Eisenmann, B., Steele, M., & Cirillo, M. (2013). (Developing) Teacher discourse moves: A framework for professional development. Mathematics Teacher Educator, 1(2), 181–196.
Herbel-Eisenmann, B., & Wagner, D. (2010). Appraising lexical bundles in mathematics classroom discourse: Obligation and choice. Educational Studies in Mathematics, 75, 43–63.
Hudicourt-Barnes, J., & Ballenger, C. (2008). Essay: Using students’ conversational styles. In A. S. Rosebery & B. Warren (Eds.), Teaching science to English language learners: Building on students’ strengths (pp. 21–30). National Science Teachers Association Press.
Hufferd-Ackles, K., Fuson, K. C., & Sherin, M. G. (2004). Describing levels and components of a math-talk learning community. Journal for Research in Mathematics Education, 35(2), 81–116.
Kanes, C., Morgan, C., & Tsatsaroni, A. (2014). The PISA mathematics regime: Knowledge structures and practices of the self. Educational Studies in Mathematics, 87(2), 145–165.
Klein, M. (2000). How active involvement in learning mathematics can preclude meaningful engagement: Contributions from Foucault. Pedagogy, Culture and Society, 8(1), 69–83.
Kollosche, D. (2016). Criticising with Foucault: Towards a guiding framework for socio-political studies in mathematics education. Educational Studies in Mathematics, 91, 73–86.
Labaree, D. (2020). Turtles all the way down: Academic writing as formalism. Journal of Philosophy of Education, 54(3), 679–693.
Lampert, M. (1990). When the problem is not the question and the solution is not the answer: Mathematical knowing and teaching. American Educational Research Journal, 27(1), 29–63.
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.
Lee, C. (2006). Language for learning mathematics: Assessment for learning in practice. Open University Press.
Llewellyn, A. (2009). ‘Gender games’: A post-structural exploration of the prospective teacher, mathematics and identity. Journal of Mathematics Teacher Education, 12(6), 411–426.
Marcuse, H. (2002). One-dimensional man: Studies in the ideology of advanced industrial society. Routledge.
Meaney, T., Trinick, T., & Fairhall, U. (2011). Collaborating to meet language challenges in indigenous mathematics classrooms. Springer Science and Business Media.
O’Connor, M. C., Godfrey, L., & Moses, R. P. (1998). The missing data point: Negotiating purposes in classroom mathematics and science. In J. G. Greeno (Ed.), Thinking practice in mathematics and science (pp. 89–125). Lawrence Erlbaum Associates.
Pais, A., & Valero, P. (2011). The specificity of mathematics learning and the disavowal of the political in research. Educational Studies in Mathematics, 80(1–2), 9–24.
Pais, A., & Valero, P. (2012). Researching research: Mathematics education in the political. Educational Studies in Mathematics, 80(1–2), 9–24.
Paris, D., & Winn, M. T. (Eds.). (2013). Humanizing research: Decolonizing qualitative inquiry with youth and communities. Sage Publications.
Parks, A. N. (2009). Doomsday device: Rethinking the deployment of the ‘achievement gap’ in equity arguments. For the Learning of Mathematics, 29(1), 14–19.
Pimm, D. (1987). Speaking mathematically. Routledge and Kegan Paul.
Radford, L. (2012). Education and the illusions of emancipation. Educational Studies in Mathematics, 80(1–2), 101–118.
Reinholz, D., & Shah, N. (2018). Equity analytics: A methodological approach for quantifying participation patterns in mathematics classroom discourse. Journal for Research in Mathematics Education, 49(2), 140–177.
Setati, M. (2008). Access to mathematics versus access to the language of power: The struggle in multilingual mathematics classrooms. South African Journal of Education, 28(1), 103–116.
Sinclair, J. M., & Coulthard, R. M. (1975). Towards an analysis of discourse: The English used by teachers and pupils. Oxford University Press.
Skemp, R. (1979). Intelligence, learning, and action. John Wiley and Sons.
Sobe, N. W. (2004). Challenging the gaze: The subject of attention and a 1915 Montessori demonstration classroom. Educational Theory, 54(3), 281–297.
Stigler, J. W., & Hiebert, J. (1999). The teaching gap. The Free Press.
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.
Valero, P. (2007). A socio-political look at equity in the school organization of mathematics education. ZDM The International Journal on Mathematics Education, 39, 225–233.
Valero, P. (2008). Discourses of power in mathematics education research: Concepts and possibilities for action. PNA, 2(2), 43–60.
Valero, P., & Knijnik, G. (2015). Governing the modern, neoliberal child through ICT research in mathematics education. For the Learning of Mathematics, 35(2), 34–39.
Wagner, D. (2012). Opening mathematics texts: Resisting the seduction. Educational Studies in Mathematics, 80(1–2), 153–169.
Wagner, D., & Herbel-Eisenmann, B. (2009). Re-mythologizing mathematics through attention to classroom positioning. Educational Studies in Mathematics, 72(1), 1–15.
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 Mathematics Education, 46, 871–882.
Walshaw, M. (1999). An unlikely alliance: Mathematics education, post-structuralism, and potential affirmation. Mathematics Teacher Education and Development, 1, 1–12.
Walshaw, M. (2004). Pre-service mathematics teaching in the context of schools: An exploration into the constitution of identity. Journal of Mathematics Teacher Education, 7, 63–86.
Walshaw, M. (2014). Who can know mathematics? For the Learning of Mathematics, 34(2), 2–6.
Wood, T., Cobb, P., Yackel, E., & Dillion, D. (1993). Rethinking elementary school mathematics: Insights and issues. National Council of Teachers of Mathematics.
Yataganbaba, E., & Yıldırım, R. (2016). Teacher interruptions and limited wait time in EFL young learner classrooms. Procedia-Social and Behavioral Sciences, 232, 689–695.
Yolcu, A., & Popkewitz, T. S. (2019). Making the able body: School mathematics as a cultural practice. ZDM, 51, 251–261.
Acknowledgement
We recognize and thank all of our teacher-researcher-partners and, Laurie, in particular, for her collaboration and time. We also thank Gabriele Kaiser and three anonymous reviewers for their thoughtful feedback and insights.
Funding
This research was supported with funding from the National Science Foundation [(NSF), Grant No. 0347906]. Any opinions, findings, and conclusions or recommendations expressed in this article are those of the authors and do not necessarily reflect the views of the NSF.
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Dubbs, C.H., Herbel-Eisenmann, B. “Shh!”: Shifting discourse patterns and techniques of surveillance in middle-school mathematics classrooms. ZDM Mathematics Education 53, 449–460 (2021). https://doi.org/10.1007/s11858-021-01243-4
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DOI: https://doi.org/10.1007/s11858-021-01243-4