# A Balancing Act: Developing a Discourse Community in a Mathematics Classroom

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## Abstract

This article examines the pedagogical tensions involved in trying to usestudents' ideas as the basis for class discussion while also ensuring thatdiscussion is productive mathematically. The data for this study of theteaching of one middle-school teacher come from observations andvideotapes of instruction across a school year as well as interviews with theparticipating teacher. Specifically, the article describes the teacher'sattempts to support a student-centered *process* of mathematicaldiscourse and, at the same time, facilitate discussions of significantmathematical *content*. This tension in teaching was not easily resolved;throughout the school year the teacher shifted his emphasis betweenmaintaining the process and the content of the classroom discourse.Nevertheless, at times, the teacher balanced these competing goals by usinga ``filtering approach'' to classroom discourse. First multiple ideas aresolicited from students to facilitate the process of student-centeredmathematical discourse. Students are encouraged to elaborate theirthinking, and to compare and evaluate their ideas with those that havealready been suggested. Then, to bring the content to the fore, the teacherfilters the ideas, focusing students' attention on a subset of themathematical ideas that have been raised. Finally, the teacher encouragesstudent-centered discourse about these ideas, thus maintaining a balancebetween process and content.

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## REFERENCES

- Ball, D.L. (1989).
*Beginnings: Transcript from Deborah Ball's Classroom, September 11, 12, 18, 1989*. East Lansing, MI: M.A.T.H. Project, College of Education, Michigan State University. Used with permission.Google Scholar - Ball, D.L. (1991). What's all this talk about “discourse”?
*Arithmetic Teacher*,39,44–48.Google Scholar - Ball, D.L. (1993). With an eye on the mathematical horizon: Dilemmas of teaching elementary school mathematics.
*Elementary School Journal*,93,373–397.Google Scholar - Ball, D.L. (1996). Teacher learning and the mathematics reforms:What we think we know and what we need to learn.
*Phi Delta Kappan*,77,500—508. A BALANCING ACT: DEVELOPING A DISCOURSE COMMUNITY 231Google Scholar - Brown, A.L. & Campione, J.C. (1992).
*Fostering a community of learners: A proposal submitted to the Andrew W. Mellon Foundation*. Unpublished manuscript,University of California, Berkeley.Google Scholar - Brown, A.L. & Campione, J.C. (1994). Guided discovery in a community of learners. In K. McGilly (Ed.),
*Classroom lessons: Integrating cognitive theory and classroom practice*(pp. 229–270). Cambridge, MA: MIT Press/Bradford Books.Google Scholar - Brown, A.L. & Campione, J.C. (1996). Psychological learning theory and the design of innovative environments: On procedures, principles, and systems. In L. Schauble & R. Glaser (Eds.),
*Innovations in learning: New environments for education*(pp. 289–325). Hillsdale, NJ: Erlbaum.Google Scholar - Cazden, C. (1986). Classroom discourse. In M.C. Wittrock (Ed.),
*Handbook of research on teaching*(pp. 432–462). New York: Macmillan.Google Scholar - Chazan, D. & Ball, D.L. (1999). Beyond being told not to tell.
*For the Learning of Mathematics*,19(2),2–10.Google Scholar - Elliott, P.C. & Kenny, M.J. (1996).
*1996 Yearbook: Communication in mathematics, K-12 and beyond*. Reston, VA: NCTM.Google Scholar - Fennema, E., Carpenter, T.P., Franke, M.L., Levi, L., Jacobs, V.R. & Empson, S.B. (1996). A longitudinal study of learning to use children's thinking in mathematics instruction.
*Journal for Research in Mathematics Education*, 27,458–477.Google Scholar - Fennema, E. & Franke, M.L. (1992). Teachers' knowledge and its impact. In D.A. Grouws (Ed.),
*Handbook of research on mathematics teaching and learning*(pp. 147–164). New York: Macmillan.Google Scholar - Fennema, E. & Nelson, B.S. (1997).
*Mathematics teachers in transition*. Mahwah, NJ: Erlbaum.Google Scholar - Heaton, R.M. (2000).
*Teaching mathematics to the new standards: Relearning the dance*. New York: Teachers College Press.Google Scholar - Hufferd-Ackles, K. (1999).
*Learning by all in a math-talk learning community*.Unpublished doctoral dissertation. Northwestern University, Evanston, IL.Google Scholar - Jaworski, B. (1994).
*Investigating mathematics teaching: A constructivist enquiry*. London: Falmer Press.Google Scholar - Lampert, M. (1986). Knowing, doing, and teaching multiplication.
*Cognition and Instruction*, 3,305–342.Google Scholar - 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*, 27,29–63.Google Scholar - Lappan, G., Fey, T., Fitzgerald, W.M., Friel, S.N. & Phillips, E.D. (1997).
*Comparing and scaling: Ratio, Proportion, and Percent - The Connected Mathematics Project*.Palo Alto, CA: Dale Seymour.Google Scholar - Lemke, J.L. (1990).
*Talking science: Language, learning, and values*.Norwood, NJ: Ablex.Google Scholar - Louis, D. (1997a).
*Reflections on my teaching: My mathematics teaching journal*.Unpublished manuscript.Google Scholar - Louis, D. (1997b).
*Talk about math: Understanding communities of learners in a mathematics classroom, A proposal submitted to the Spencer Foundation*.Unpublished manuscript.Google Scholar - Louis, D. (1997c).
*400%: A case of talking about mathematics*.Unpublished manuscript.Google Scholar - Louis, D. (1998).
*Summary report to the Spencer Foundation*.Unpublished manuscript.Google Scholar - Mehan, H. (1979).
*Learning lessons: Social organization in the classroom*.Cambridge: Harvard University Press. 232 MIRIAM GAMORAN SHERINGoogle Scholar - Mendez, E.P. (1998).
*Robust mathematical discussion*.Unpublished doctoral dissertation, Stanford University, Stanford, CA.Google Scholar - Nathan, M.J., Knuth, E. & Elliott, R. (April, 1998).
*Analytic and social scaffolding in the mathematics classroom: One teacher's changing practices*.Paper presented at the annual meeting of the American Educational Research Association, San Diego, CA.Google Scholar - Nathan, M.J., Elliott, R., Knuth, E. & French, A. (March 1997).
*Self-reflection on teacher goals and actions in the mathematics classroom*. Paper presented at the annual meeting of the American Educational Research Association annual meeting, Chicago.Google Scholar - National Council of Teachers of Mathematics (1991).
*Professional standards for teaching mathematics*, Reston, VA.Google Scholar - National Council of Teachers of Mathematics. (2000).
*Principles and standards for school mathematics*. Reston, VA.Google Scholar - O'Connor, M. & Michaels, S. (1996). Shifting participant framework: Orchestrating thinking practices in group discussions. In D. Hicks (Ed.),
*Discourse, learning, and schooling*(pp. 63–103). New York: Cambridge University Press.Google Scholar - Pimm, D. (1987).
*Speaking mathematically: Communication in mathematics classrooms*. London: Routledge & Kegan Paul.Google Scholar - Pimm, D. (1996). Diverse communications. In P.C. Elliott, (Ed.),
*1996 Yearbook: Communication in mathematics, K-12 and beyond*(pp. 11–19). Reston, VA: NCTM.Google Scholar - Rittenhouse, P.S. (1998). The teacher's role in mathematical conversation: Stepping in and stepping out. In M. Lampert & M.L. Blunk (Eds.),
*Talking mathematics in school: Studies of teaching and learning*(pp. 163–189). New York: Cambridge University Press.Google Scholar - Schifter, D. (1998). Learning mathematics for teaching: From a teachers' seminar to the classroom.
*Journal of Mathematics Teacher Education*, 1,55–87.Google Scholar - Schoenfeld, A.H. (1998). Toward a theory of Teaching-In-Context.
*Issues in Education*, 4(1),1–94.Google Scholar - Schoenfeld, A.H., Smith, J.P. & Arcavi, A. (1993). Learning: The microgenetic analysis of one student's evolving understanding of a complex subject matter domain. In R. Glaser (Ed.),
*Advances in instructural psychology*(pp. 55–175). Hillsdale, NJ: Erlbaum.Google Scholar - Sherin, M.G. (1996, April).
*Novel student behavior as a trigger for change in teachers' content knowledge*. Paper presented at the annual meeting of the American Educational Research Association, New York.Google Scholar - Sherin, M.G. (1998). Developing teachers' ability to identify student conceptions during instruction. In S.B. Berenson, K.R. Dawkins, M. Blanton, W.N. Coulombe, J. Kolb, K. Norwood & L. Stiff (Eds.),
*Proceedings of the Twentieth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*. Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.Google Scholar - Sherin, M.G. (2001). Professional vision of classroom events. In T. Wood, B. Nelson & J. Warfield (Eds.),
*Beyond classical pedagogy: Teaching elementary school mathematics*(pp. 75–93). Mahwah, NJ: Lawrence Erlbaum Associates.Google Scholar - Shulman, L.S. & Shulman, J.H. (1994).
*Fostering a Community of Teachers: A proposal submitted to the Andrew W. Mellon Foundation*. Unpublished manuscript, Stanford University.Google Scholar - Silver, E.A. (1996). Moving beyond learning alone and in silence: Observations from the Quasar project concerning communication in mathematics classrooms. In L. Schauble & R. Glaser (Eds.),
*Innovations in learning: New environments for education*(pp. 127–159). Mahwah, NJ: Erlbaum. A BALANCING ACT: DEVELOPING A DISCOURSE COMMUNITY 233Google Scholar - Silver, E.A. & Smith, M.S. (1996). Builiding discourse communities in mathematics classrooms: A worthwhile but challenging journey. In P. C. Elliott (Ed.),
*1996 Yearbook: Communication in mathematics, K-12 and beyond*(pp. 20–28). Reston, VA: NCTM.Google Scholar - Sinclair, J.McH. & Coulthard, R.M. (1975).
*Towards an analysis of discourse: The English used by teachers and pupils*. London: Oxford University Press.Google Scholar - Smith, J.P. (1996). Efficacy and teaching mathematics by telling: A challenge for reform.
*Journal for Research in Mathematics Education*, 27,458–477.Google Scholar - Williams, S. & Baxter, J. (1996). Dilemmas of discourse-oriented teaching in one middle school mathematics classroom.
*Elementary School Journal*, 97,21–38.Google Scholar - Wood, T. (1994). Patterns of interaction and the culture of mathematics classrooms. In S. Lerman (Ed.),
*The culture of the mathematics classroom*(pp. 149–168). Dordrecht, Netherlands: Kluwer.Google Scholar - Wood, T. (1995). An emerging practice of teaching. In P. Cobb & H. Bauersfeld (Eds.),
*The emergence of mathematical meaning*(pp. 203–227). Hillsdale, NJ: Erlbaum.Google Scholar - Wood, T. (1997). Alternative patterns of communication in mathematics classes: Funneling or focusing: In H. Steinbring, M. Bartolini-Bussi & A. Sierpinska (Eds.),
*Language and communication in the mathematics classroom*(pp. 167–178). Reston, VA: NCTM.Google Scholar - Wood, T. (1999). Creating a context for argument in mathematics class.
*Journal for Research in Mathematics Education*,30,171–191.Google Scholar - Wood, T., Cobb, P. & Yackel, E. (1991). Change in teaching mathematics: A case study.
*American Educational Research Journal*,28, 587–616.Google Scholar - Yackel, E. & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics.
*Journal for Research in Mathematics Education*,27,458–477.*School of Education and Social Policy, Northwestern University, 2115 N. Campus Drive, Evanston, IL 60208-2610 E-mail: msherin@northwestern.edu*Google Scholar