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Promoting student collaboration in a detracked, heterogeneous secondary mathematics classroom

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Abstract

Detracking and heterogeneous groupwork are two educational practices that have been shown to have promise for affording all students needed learning opportunities to develop mathematical proficiency. However, teachers face significant pedagogical challenges in organizing productive groupwork in these settings. This study offers an analysis of one teacher’s role in creating a classroom system that supported student collaboration within groups in a detracked, heterogeneous geometry classroom. The analysis focuses on four categories of the teacher’s work that created a set of affordances to support within group collaborative practices and links the teacher’s work with principles of complex systems.

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References

  • Ball, D., & Bass, H. (2000). Using mathematics in practice: What does it take to help students work collectively? Paper presented at the annual meeting of the American Educational Research Association, New Orleans, LA.

  • Barab, S. A., Cherkes-Julkowski, M., Swenson, R., Garrett, S., Shaw, R. E., & Young, M. (1999). Principles of self-organization: Learning as participation in autocatakinetic systems. The Journal of the Learning Sciences, 8(3&4), 349–390.

    Article  Google Scholar 

  • Boaler, J. (2002). Experiencing school mathematics: Traditional and reform approaches to teaching and their impact on student learning. (Revised and expanded edition). Mahwah, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • Boaler, J. (2006). How a detracked mathematics approach promoted respect, responsibility, and high achievement. Theory into Practice, 45(1), 40–46.

    Article  Google Scholar 

  • Boaler, J. (2007). Promoting ‘relational equity’ and high mathematics achievement through an innovative mixed ability approach. British Educational Research Journal, 1–28.

  • Boaler, J., & Staples, M. (2008). Creating mathematical futures through an equitable teaching approach: The case of Railside School. Teachers College Record, 110(3), 608–645.

    Google Scholar 

  • Burris, C. C., Heubert, J., & Levin, H. (2006). Accelerating mathematics achievement using heterogeneous grouping. American Educational Research Journal, 43(1), 105–126.

    Article  Google Scholar 

  • Carey, N., Farris, E., & Carpenter, J. (1994). Curricular differentiation in public high schools (NCES 95–360). U.S. Department of Education, National Center for Education Statistics.

  • Cohen, E. (1994a). Restructuring the classroom: Conditions for productive small groups. Review of Educational Research, 64(1), 1–35.

    Google Scholar 

  • Cohen, E. (1994b). Designing groupwork: Strategies for the heterogeneous classroom. New York: Teachers College Press.

    Google Scholar 

  • Cohen, E. (1997). Equity in heterogeneous classrooms: A challenges for teachers, sociologists. In E. Cohen & R. Lotan (Eds.), Working for equity in heterogeneous classrooms: Sociological theory in practice (pp. 3–14). New York: Teachers College Press.

    Google Scholar 

  • Cohen, E. G., Brody, C. M., & Sapon-Shevin, M. (2004). Teaching cooperative learning: The challenge for teacher education. Albany, NY: State University of New York Press.

    Google Scholar 

  • Cohen, E., & Lotan, R. (1997). Working for equity in heterogeneous classrooms: Sociological theory in practice. New York: Teachers College Press.

    Google Scholar 

  • Davis, B., & Simmt, E. (2003). Understanding learning systems: Mathematics education and complexity science. Journal for Research in Mathematics Education, 34(2), 137–167.

    Article  Google Scholar 

  • Dweck, C. S., & Leggett, E. (1988). A social cognitive approach to motivation and personality. Psychological Review, 95, 256–273.

    Article  Google Scholar 

  • Elliott, E. S., & Dweck, C. S. (1988). Goal: An approach to motivation and achievement. Journal of Personality and Social Psychology, 54, 5–12.

    Article  Google Scholar 

  • Forsyth, D. (1999). Group dynamics. Boston, MA: Brooks/Cole.

    Google Scholar 

  • Gamoran, A. (1993). Alternative uses of ability grouping in secondary schools: Can we bring high quality instruction to low-ability classes? American Journal of Education, 102, 1–22.

    Article  Google Scholar 

  • Glaser, B. G., & Strauss, A. L. (1967). The discovery of grounded theory: Strategies for qualitative research. London: Weidenfeld & Nicholson.

    Google Scholar 

  • Greeno, J., & MMAP (1997). Theories and practices of thinking and learning to think. American Journal of Education, 106, 85–126.

  • Guitiérrez, R. (1996). Practices, beliefs and cultures of high school mathematics departments: Understanding their influence on student advancement. Journal of Curriculum Studies, 28(5), 495–529.

    Article  Google Scholar 

  • Horn, I. (2005). Learning on the job: A situated account of teacher learning in two high school mathematics departments. Cognition & Instruction, 23(2), 207–236.

    Article  Google Scholar 

  • Linchevski, L., & Kutscher, B. (1998). Tell me with whom you’re learning, and I’ll tell you how much you’ve learned: Mixed-ability versus same-ability grouping in mathematics. Journal for Research in Mathematics Education, 29(5), 533–554.

    Article  Google Scholar 

  • Lou, Y., Abrami, P., Spence, J., Poulsen, C., Chambers, B., & d’Apollonia, S. (1996). Within-class grouping: A meta-analysis. Review of Educational Research, 66(4), 423–458.

    Google Scholar 

  • National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.

    Google Scholar 

  • National Council of Teachers of Mathematics. (1991). Professional standards for teaching mathematics. Reston, VA: NCTM.

    Google Scholar 

  • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: NCTM.

    Google Scholar 

  • National Research Council. (2001). Adding it up: Helping children learn mathematics. Mathematics Learning Study Committee. In J. Kilpatrick, J. Swafford, & B. Findell (Eds.), Division of behavioral and social sciences and education. Washington, DC: National Academy Press.

    Google Scholar 

  • Oakes, J. (1985). Keeping track: How schools structure inequality. New Haven, CT: Yale University Press.

    Google Scholar 

  • Oakes, J. (1990). Multiplying inequalities: The effects of face, social class and tracking on opportunities to learn mathematics and science. Santa Monica, CA: RAND.

    Google Scholar 

  • Perry, S. M. (2007). Shaping self-concepts: Ability grouping and middle school students. Unpublished doctoral dissertation. Stanford University, Stanford, CA.

  • Schroeder, T., & Lester, F. (1989). Developing understanding in mathematics via problem solving. In P. Trafton, & A. Shulte (Eds.), New directions for elementary school mathematics (pp. 31–42). Reston, VA: National Council of Teachers of Mathematics.

    Google Scholar 

  • Schwartz, D. (1999). The productive agency that drives collaborative learning. In P. Dillenbourg (Ed.), Collaborative learning: Cognitive and computational approaches (pp. 197–218). New York: Pergamon.

    Google Scholar 

  • Staples, M., & Colonis, M. (2006). Sustaining mathematical discussions: A comparative analysis of two secondary mathematics teachers. Paper presentation at the annual meeting of the American Education Research Association Annual Conference, San Francisco, CA.

  • Strauss, A., & Corbin, J. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory. Thousand Oaks, CA: Sage Publications, Inc.

    Google Scholar 

  • Webb, N. (1991). Task-related verbal interaction and mathematics learning in small groups. Journal of Research in Mathematics Education, 22, 366–389.

    Article  Google Scholar 

  • Wenger, E. (1998). Communities of practice: Learning, meaning, and identity. Cambridge: Cambridge University Press.

    Google Scholar 

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Acknowledgments

I would like to thank Melissa Gresalfi for her insightful and generative feedback on earlier drafts of this manuscript. I would also like to thank Jo Boaler for her guidance in the design of this project. Finally, I extend my deep appreciation to Linda McClure and her geometry class for allowing me to be a part of their classroom community.

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Correspondence to Megan E. Staples.

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An earlier version of this article was presented at the Annual Meeting of the American Educational Research Association, Chicago, 2007 as part of the Tracking and Detracking SIG session Teaching, Learning, and Other Outcomes in Tracked and Detracked Environments.

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Staples, M.E. Promoting student collaboration in a detracked, heterogeneous secondary mathematics classroom. J Math Teacher Educ 11, 349–371 (2008). https://doi.org/10.1007/s10857-008-9078-8

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  • DOI: https://doi.org/10.1007/s10857-008-9078-8

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