Abstract
In this study, we take a sociocultural perspective on teaching and learning to examine how teachers in an urban Algebra 1 classroom constructed opportunities to learn. Drawing on analyses of discourse practices, including videotaped classroom lessons as well as other classroom artifacts and telephone interviews, we describe ways that two teachers and their students interacted to develop mathematical understanding. Through descriptive narrative, we highlight practices that positioned students as competent mathematical thinkers and provided evidence of students' mathematical agency. This study suggests that critical awareness of discourse practices in conjunction with teacher mediation of other affordances for learning within the classroom environment might engage students in mathematical practices such as problem solving, explaining mathematical ideas, arguing for or against specific solutions to problems, and justifying mathematical thinking.
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Notes
Ms. Brenner was a participant in the larger randomized study. Ms. Cho provided consent for video recording but did not participate in interviews.
References
Anghileri, J. (2006). Scaffolding practices that enhance mathematics learning. Journal of Mathematics Teacher Education, 9, 33–52.
Bakhtin, M. M. (1986). Speech genres and other late essays. Austin: University of Texas Press.
Bell, C. V. (2008). Cultural diversity and white teacher scaffolding of student self-regulated learning in algebra classes. (Doctoral Dissertation). Retrieved from http://etd.ohiolink.edu/
Berends, M., & Penaloza, R. (2010). Increasing racial isolation and test score gaps in mathematics: A 30-year perspective. Teacher College Record, 112(4), 978–1007.
Boaler, J., & Greeno, J. G. (2000). Identity, agency, and knowing in mathematical worlds. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 171–200). Stamford: Ablex.
Davies, B., & Harré, R. (1990). Positioning: The discursive production of selves. Journal for the Theory of Social Behaviour, 20, 43–61.
Frankenstein, M. (1995). Equity in mathematics education: Class in the world outside of class. In W. G. Secada, E. Fennema, & L. B. Adajian (Eds.), New directions for equity in mathematics education (pp. 165–190). Cambridge: Cambridge University Press.
Gee, J. P. (2008). A sociocultural perspective on opportunity to learn. In P. A. Moss, D. C. Pullen, J. P. Gee, E. H. Haertel, & L. J. Young (Eds.), Assessment, equity, and opportunity to learn (pp. 76–108). New York: Cambridge University Press.
Greeno, J. G. (2003). Situative research relevant to standards for school mathematics. In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 304–332). Reston: National Council of Teachers of Mathematics.
Gresalfi, M. S., Martin, T., Hand, V., & Greeno, J. (2009). Constructing competence: An analysis of student participation in the activity systems of mathematics classrooms. Educational Studies in Mathematics, 70, 49–70.
Holland, D., Lachicotte, W., Skinner, D., & Cain, C. (2001). Identity and agency in cultural worlds. Cambridge: Harvard University Press.
Khisty, L. L. (2002). Mathematics learning and the Latino/a student: Suggestions from research for classroom practice. Teaching Children Mathematics, 9, 32–35.
Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.
Lubienski, S. T. (2000). Problem solving as a means toward mathematics for all: An exploratory look through a class lens. Journal for Research in Mathematics Education, 31(4), 454–482.
Malloy, C. E. (2004). Equity in mathematics education is about access. In R. N. Rubenstein & G. W. Bright (Eds.), Perspectives on the teaching of mathematics (pp. 1–14). Reston: National Council of Teachers of Mathematics.
Moses, R. P., & Cobb, C. E. (2001). Radical equations: Math literacy and civil rights. Boston: Beacon.
National Center for Education Statistics. (2009). The nation’s report card: Mathematics 2009 (NCES 2010–451). Washington, D.C.: Institute of Education Sciences, U.S. Department of Education.
National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston: Author.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston: Author.
Nystrand, M., Gamoran, A., Kachur, R., & Prendergast, C. (1997). Opening dialogue: Understanding the dynamics of language and learning in the English classroom. New York: Teacher College Press.
Nystrand, M., Wu, L. L., Gamoran, A., Zeiser, S., & Long, D. A. (2003). Questions in time: Investigating the structure and dynamics of unfolding classroom discourse. Discourse Processes, 35(2), 135–198.
Oliveira, A. (2010). Developing elementary teachers' understandings of hedges and personal pronouns in inquiry-based science classroom discourse. Journal of Science Teacher Education, 21(1), 103–126.
Pape, S. J., Owens, S. K., Bell, C. V., Bostic, J. D., Kaya, S., & Irving, K. E. (2008). Classroom connectivity in mathematics and science achievement: Algebra I discourse codebook. GainesvilleFL: University of Florida.
Pape, S. J., Bell, C. V., Owens, S. K., Bostic, J. D., Irving, K. E., Owens, D. T., Abrahamson, L., & Silver, D. (2010, May). Examining verbal interactions within connected mathematics slassrooms. Paper presented at the Annual Meeting of the American Educational Research Association, Denver, CO
Pape, S. J., Irving, K. E., Owens, D. T., Boscardin, C. K., Sanalan, V., Abrahamson, A. L., Kaya, S., Shin, H. S., & Silver, D. (2011). The impact of classroom connectivity in promoting Algebra I achievement: Results of a randomized control trial. American Educational Research Association New York, NY, Ohio State University: 50.
Schoenfeld, A. H. (2002). Making mathematics work for all children: Issues of standards, testing, and equity. Educational Researcher, 31, 13–25.
Sierpinska, A. (1998). Three epistemologies, three views of classroom communication: Constructivism, sociocultural approaches, interactionism. In H. Steinbring, M. G. Bartolinni Bussi, & A. Sierpinska (Eds.), Language and communication in the mathematics classroom (pp. 30–62). Reston: National Council of Teachers of Mathematics.
Tate, W. F. (1995). Returning to the root: A culturally relevant approach to mathematics pedagogy. Theory into Practice, 34, 166–173.
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Cambridge: Harvard University Press.
Wagner, D. (2007). Students’ critical awareness of voice and agency in mathematics classroom discourse. Mathematics Thinking and Learning, 9, 31–50.
Wagner, D., & Herbel-Eisenmann, B. (2009). Re-mythologizing mathematics through attention to classroom positioning. Educational Studies in Mathematics, 72(1), 1–15.
Wetherell, M., Taylor, S., & Yates, S. J. (2001). Discourse theory and practice: A reader. London: Sage.
Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27, 458–477.
Yin, R. K. (2003). Case study research: Designs and methods. Newbury Park: Sage Publications.
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Bell, C.V., Pape, S.J. Scaffolding students’ opportunities to learn mathematics through social interactions. Math Ed Res J 24, 423–445 (2012). https://doi.org/10.1007/s13394-012-0048-1
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DOI: https://doi.org/10.1007/s13394-012-0048-1