Middle Grade Teachers’ Learning through Students’ Engagement with Modeling Tasks*
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We report on how two middle-grade teachers supported their students’ mathematical reasoning within the context of a novel modeling task in data analysis. We examine how the task features supported the development of teachers’ knowledge as their students engaged with the task. Analyses of the teachers’ practices suggest that the task features enabled teachers: (a) to develop new understandings of the mathematical content and the ways in which student ideas develop and are represented; (b) to adopt new roles in their interactions with the students, including a focus on listening and observing, and on asking questions for understanding and clarification; and (c) to engage in forms of interpretative listening that shifted the role of evaluation from the teacher to the student.
Key wordsteacher development teacher learning modeling task features middle grades
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- Chazan D., Ball D. L. (1999). Beyond being told not to tell. For the Learning of Mathematics 19(2):2–10Google Scholar
- Davis B. (1996). Teaching mathematics: Toward a sound alternative. Garland, New YorkGoogle Scholar
- English L. D., Doerr H. M. (2003). Perspective-taking in middle-school mathematical modeling: A teacher case study. In: Pateman N., Dougherty B., Zilliox J. (eds). Proceedings of the twenty-seventh conference of the international group for the psychology of mathematics education. Center for Research and Development Group, University of Hawai’i, Honolulu HI, pp. 357–364Google Scholar
- Goldsmith L., Schifter D. (1997). Understanding teachers in transition: Characteristics of a model for developing teachers. In: Fennema E., Nelson B. S. (eds). Mathematics teachers in transition. Lawrence Erlbaum Associates, Mahwah, NJ, pp. 19–54Google Scholar
- Lampert M. (2001). Teaching problems and the problems of teaching. Yale University Press, New Haven,CTGoogle Scholar
- Lesh R., Hoover M., Hole B., Kelly A., Post T. (2000). Principles for developing thought-revealing activities for students and teachers. In: Lesh R. A., Kelly A. (eds). Handbook of research design in mathematics and science education. Lawrence Erlbaum Associates, Mahwah, NJ, pp. 591–646Google Scholar
- Lesh R.A., Cramer K., Doerr H.M., Post T., Zawojewski J.S. (2003). Model development sequences. In: Lesh R. A., Doerr H. M. (eds). Beyond constructivism: Models and modeling perspectives on mathematics problem solving, teaching and learning. Lawrence Erlbaum Associates, Mahwah, NJ, pp. 35–58Google Scholar
- National Council of Teachers of Mathematics. (1991). Professional standards for teaching mathematics. Author, Reston, VAGoogle Scholar
- Shulman L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher 15(2):4–14Google Scholar
- Strauss A., Corbin J. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory (2nd ed). Sage Publications, Thousand Oaks CAGoogle Scholar
- Swafford J. O., Jones G. A., Thornton C. A., Stump S. L., Miller D. R. (1999). The impact on instructional practice of a teacher change model. Journal of Research and Development in Education 32(2):69–82Google Scholar