Abstract
This chapter conceptualizes and illustrates StoryCircles, a form of professional education that builds on the knowledge of practitioners and engages them in collective, iterative scripting, visualization of, and argumentation about mathematics lessons using multimedia. The drive to invent and study new forms of professional education for mathematics teachers, such as StoryCircles, is predicated on the need to improve mathematics instruction. While many such efforts aim to support teachers in making broad sweeping changes, few take into account the actual predicaments of practice that make such changes difficult. StoryCircles aims to support teachers in making incremental improvements to practice by eliciting teachers’ practical wisdom and enabling participants to use each other’s knowledge and experience as resources for professional learning. In this chapter we outline critical characteristics of the StoryCircles practice and illustrate how they are connected to seminal anchors in the professional development literature. We also illustrate those features with examples from various instantiations of StoryCircles. We close by providing some considerations for the affordances we see for the practice—both for the profession and for individual groups of teachers.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
To refer in general to this genre of professional education, we use the plural StoryCircles. We use the singular StoryCircle to refer to a group engaged in StoryCircles.
- 2.
By multimodality we mean that classroom communication uses a multiplicity of communication modalities. By multivocality we mean that classroom communication includes a multiplicity (hence a diversity) of voices sharing the communication modalities (see Herbst, Chazan, Chen, Chieu, & Weiss, 2011).
- 3.
The county’s as well as the participants’ names are pseudonyms.
- 4.
We mention these as examples of variously desirable kinds of teaching, under no pretense that the elements listed are equivalent or that the list is comprehensive.
References
Arbaugh, F. (2003). Study groups as a form of professional development for secondary mathematics teachers. Journal of Mathematics Teacher Education, 6(2), 139–163.
Arcavi, A. (2003). The role of visual representations in the learning of mathematics. Educational Studies in Mathematics, 52(3), 215–241.
Ball, D. L., & Forzani, F. M. (2009). The work of teaching and the challenge for teacher education. Journal of Teacher Education, 60(5), 497–511.
Ball, D. L., & Forzani, F. M. (2011). Building a common core for learning to teach and connecting professional learning to practice. American Educator, 35(2), 17–21. 38–39.
Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389–407.
Birchak, B., Connor, C., Crawford, K. M., Kahn, L. H., Kaser, S., Turner, S., & Short, K. G. (1998). Teacher study groups: Building community through dialogue and reflection. Urbana, IL: National Council of Teachers of English. (Retrieved from eric.ed.gov on May 15 2017, ERIC Number: ED42458)
Blank, R. K., de las Alas, N., & Smith, C. (2007). Analysis of the quality of professional development programs for mathematics and science teachers. Washington, DC: Council of Chief State School Officers.
Borko, H. (2004). Professional development and teacher learning: Mapping the terrain. Educational Researcher, 33(8), 3–15.
Borko, H., & Livingston, C. (1989). Cognition and improvisation: Differences in mathematics instruction by expert and novice teachers. American Educational Research Journal, 26, 473–498.
Brousseau, G. (1997). Theory of didactical situations in mathematics (N. Bachelff, M. Cooper, R. Sutherland, & V. Warfield (Eds. and Trans.). Dordrecht, The Netherlands: Kluwer.
Carpenter, T. P., Fennema, E., Peterson, P. L., Chiang, C., & Loef, M. (1989). Using knowledge of children’s mathematical thinking in classroom teaching: An experimental study. American Educational Research Journal, 26, 499–532.
Chazan, D. (2000). Beyond formulas in mathematics and teaching: Dynamics of the high school algebra classroom. New York: Teachers College Press.
Chazan, D., Ben-Chaim, D., & Gormas, J., with Schnepp, M., Lehman, M., Bethell, S. & Neurither, S. (1998). Shared teaching assignments in the service of mathematics reform: Situated professional development. Teaching and Teacher Education, 14(7), 687–702.
Chazan, D., Callis, S., & Lehman, M. (2009). Embracing reason: Egalitarian ideals and the teaching of high school mathematics. New York: Routledge.
Chen, C. (2012). Learning to teach from anticipating lessons through comics-based approximations of practice. Unpublished doctoral dissertation. University of Michigan, Ann Arbor.
Chieu, V. M., & Herbst, P. (2016). A study of the quality of interaction among participants in online animation-based conversations about mathematics teaching. Teaching and Teacher Education, 57, 139–149.
Chieu, V. M., Herbst, P., & Weiss, M. (2011). Effect of an animated classroom story embedded in online discussion on helping mathematics teachers learn to notice. The Journal of the Learning Sciences, 20(4), 589–624.
Chieu, V. M., Kosko, K. W., & Herbst, P. (2015). An analysis of evaluative comments in teachers’ online discussions of representations of practice. Journal of Teacher Education, 66(1), 35–50. doi:10.1177/0022487114550203.
Clements, D., & Sarama, J. (2014). Learning and teaching early math: The learning trajectories approach (2nd ed.). New York: Routledge.
Cobb, P., & McClain, K. (2006). The collective mediation of a high stakes accountability program: Communities and networks of practice. Mind, Culture, and Activity, 13, 80–100.
Cobb, P., McClain, K., de Silva Lamberg, T., & Dean, C. (2003). Situating teachers’ instructional practices in the institutional setting of the school and district. Educational Researcher, 32(6), 13–24.
Cochran-Smith, M., & Lytle, S. L. (1990). Research on teaching and teacher research: The issues that divide. Educational Researcher, 19(2), 2–11.
Cohen, D. K. (1989). Teaching practice: Plus que ca change…. In P. W. Jackson (Ed.), Contributing to educational change: Perspectives on research and practice (pp. 27–84). Berkeley, CA: McCutchan.
Collins, H. (2010). Tacit and explicit knowledge. Chicago: University of Chicago Press.
Corey, S. (1953). Action research to improve school practices. New York: Teachers College Press.
Crespo, S. (2006). Elementary teacher talk in mathematics study groups. Educational Studies in Mathematics, 63(1), 29–56.
Cwikla, J. (2007). The trials of a poor middle school trying to catch up in mathematics: Teachers’ multiple communities of practice and the boundary encounters. Education and Urban Society, 39(4), 554–583.
Darling-Hammond, L., & McLaughlin, M. W. (1995). Policies that support professional development in an era of reform. Phi Delta Kappan, 76(8), 597–604.
Darling-Hammond, L., & Richardson, N. (2009). Research review/teacher learning: What matters. Educational Leadership, 66(5), 46–53.
Elmore, R. F. (2002). Bridging the gap between standards and achievement. Washington, DC: Albert Shanker Institute, 17.
Engeström, Y. (1998). Reorganizing the motivational sphere of classroom culture: An activity theoretical analysis of planning in a teacher team. In F. Seeger, J. Voigt, & U. Waschescio (Eds.), The culture of the mathematics classroom (pp. 76–103). New York: Cambridge University Press.
Engeström, Y. (1999). Activity theory and individual and social transformation. In Y. Engeström, R. Miettinen, & R. L. Punamäki (Eds.), Perspectives on activity theory. Cambridge, UK: Cambridge University Press.
Fenstermacher, G. D. (1994). The knower and the known: The nature of knowledge in research on teaching. Review of Research in Education, 20, 3–56.
Fenstermacher, G. D., & Richardson, V. (1993). The elicitation and reconstruction of practical arguments in teaching. Journal of Curriculum Studies, 25(2), 101–114.
Fernandez, C. (2002). Learning from Japanese approaches to professional development the case of lesson study. Journal of Teacher Education, 53(5), 393–405.
Fishman, B., Konstantopoulos, S., Kubitskey, B. W., Vath, R., Park, G., Johnson, H., & Edelson, D. C. (2013). Comparing the impact of online and face-to-face professional development in the context of curriculum implementation. Journal of Teacher Education, 64(5), 426–438.
Franke, M. L., Carpenter, T., Fennema, E., Ansell, E., & Behrend, J. (1998). Understanding teachers’ self-sustaining, generative change in the context of professional development. Teaching and Teacher Education, 14(1), 67–80.
González, G., & Eli, J. A. (2017). Prospective and in-service teachers’ perspectives about launching a problem. Journal of Mathematics Teacher Education, 20(2), 159–201. doi:10.1007/s10857-015-9303-1.
Grossman, P., Compton, C., Igra, D., Ronfeldt, M., Shahan, E., & Williamson, P. (2009). Teaching practice: A cross professional perspective. Teachers College Record, 111(9).
Herbst, P. (2003). Using novel tasks to teach mathematics: Three tensions affecting the work of the teacher. American Educational Research Journal, 40, 197–238.
Herbst, P., & Chazan, D. (2003). Exploring the practical rationality of mathematics teaching through conversations about videotaped episodes: The case of engaging students in proving. For the Learning of Mathematics, 23(1), 2–14.
Herbst, P., & Chazan, D. (2006). Producing a viable story of geometry instruction: What kind of representation calls Forth teachers’ practical rationality? In S. Alatorre, J. L. Cortina, M. Sáiz, & A. Méndez (Eds.), Proceedings of the 28th annual meeting of the North American chapter of the international group for the psychology of mathematics education (Vol. 2, pp. 213–220). Mérida, México: Universidad Pedagógica Nacional.
Herbst, P., & Chazan, D. (2012). On the instructional triangle and sources of justification for actions in mathematics teaching. ZDM—The International Journal of Mathematics Education, 44(5), 601–612.
Herbst, P., Chazan, D., Chen, C., Chieu, V. M., & Weiss, M. (2011). Using comics-based representations of teaching, and technology, to bring practice to teacher education courses. ZDM—The International Journal of Mathematics Education, 43(1), 91–103.
Herbst, P., Chazan, D., Chieu, V. M., Milewski, A., Kosko, K., & Aaron, W. (2016). Technology-mediated mathematics teacher development: Research on digital pedagogies of practice. In M. Niess, K. Hollebrands, & S. Driskell (Eds.), Handbook of research on transforming mathematics teacher education in the digital age (pp. 78–106). Hershey, PA: IGI Global.
Herbst, P., & Chieu, V. M. (2011). Depict: A tool to represent classroom scenarios. Technical report. Deep Blue at the University of Michigan. http://hdl.handle.net/2027.42/87949
Herbst, P., Chieu, V., & Rougee, A. (2014). Approximating the practice of mathematics teaching: What learning can web-based, multimedia storyboarding software enable? Contemporary Issues in Technology and Teacher Education, 14(4). Retrieved from http://www.citejournal.org/vol14/iss4/mathematics/article1.cfm
Herbst, P., & Kosko, K. W. (2014). Mathematical knowledge for teaching and its specificity to high school geometry instruction. In J. Lo, K. R. Leatham, & L. R. Van Zoest (Eds.), Research trends in mathematics teacher education (pp. 23–46). New York: Springer.
Herbst, P., Nachlieli, T., & Chazan, D. (2011). Studying the practical rationality of mathematics teaching: What goes into “installing” a theorem in geometry? Cognition and Instruction, 29(2), 218–255.
Hill, H. C. (2010). The nature and predictors of elementary teachers’ mathematical knowledge for teaching. Journal for Research in Mathematics Education, 41(5), 513.
Holmes Group. (1986). Tomorrow’s teachers. East Lansing, MI: The Holmes Group.
Holmes Group. (1990). Tomorrow’s schools. East Lansing, MI: The Holmes Group.
Horn, I. S., & Little, J. W. (2010). Attending to problems of practice: Routines and resources for professional learning in teachers’ workplace interactions. American Educational Research Journal, 47(1), 181–217.
Jacobs, J. K., & Morita, E. (2002). Japanese and American teachers’ evaluations of videotaped mathematics lessons. Journal for Research in Mathematics Education, 33(3), 154–175.
Jaworski, B. (2006). Theory and practice in mathematics teaching development: Critical inquiry as a mode of learning in teaching. Journal of Mathematics Teacher Education, 9(2), 187–211.
Kazemi, E., & Franke, M. L. (2004). Teacher learning in mathematics: Using student work to promote collective inquiry. Journal of Mathematics Teacher Education, 7(3), 203–235.
Kemmis, S. (1980, November). Action research in retrospect and prospect. Paper presented to the annual meeting of the Australian Association for Research in Education (Sydney, Australia). ERIC Document ED200560.
Lampert, M. (2010). Learning teaching in, from, and for practice: What do we mean? Journal of Teacher Education, 61(1–2), 21–34.
Lampert, M., Franke, M. L., Kazemi, E., Ghousseini, H., Turrou, A. C., Beasley, H., & Crowe, K. (2013). Keeping it complex using rehearsals to support novice teacher learning of ambitious teaching. Journal of Teacher Education, 64(3), 226–243.
Lemke, J. L. (2003). Mathematics in the middle: Measure, picture, gesture, sign, and word. In M. Anderson, A. Saenz-Ludlow, S. Zellweger, & V. Cifarelli (Eds.), Educational perspectives on mathematics as semiosis: From thinking to interpreting to knowing (pp. 215–234). Brooklyn, NY/Ottawa, ON: Legas.
Lewis, C., Perry, R., & Murata, A. (2006). How should research contribute to instructional improvement? The case of lesson study. Educational Researcher, 35(3), 3–14.
Little, J. (2003). Inside teacher community: Representations of classroom practice. Teachers’ College Record, 105(6), 913–945.
Little, J. W. (1988). Seductive images and organization realities in professional development. In A. Lieberman (Ed.), Rethinking school improvement. New York: Teachers College Press.
Lockhart, P. (2009). A mathematician’s lament. New York: Bellevue Literary Press.
McConnell, T. J., Parker, J. M., Eberhardt, J., Koehler, M. J., & Lundeberg, M. A. (2013). Virtual professional learning communities: Teachers’ perceptions of virtual versus face-to-face professional development. Journal of Science Education and Technology, 22(3), 267–277.
Morris, A. K., & Hiebert, J. (2011). Creating shared instructional products an alternative approach to improving teaching. Educational Researcher, 40(1), 5–14.
Nachlieli, T., & Herbst, P. (2010). Facilitating encounters among teachers with representations of teaching: Two registers. Manuscript. Deep Blue at the University of Michigan, http://hdl.handle.net/2027.42/64852
Nachlieli, T., & Herbst, P., with González, G. (2009). Seeing a colleague encourage a student to make an assumption while proving: What teachers put to play in casting an episode of geometry instruction. Journal for Research in Mathematics Education, 40(4), 427–459.
National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all. Reston, VA: NCTM.
Nicolini, D. (2012). Practice theory, work, and organization: An introduction. Oxford: Oxford University Press.
Oja, S. N., & Pine, G. J. (1989). Collaborative action research: Teachers’ stages of development and school contexts. Peabody Journal of Education, 64(2), 96–115.
Romagnano, L. (1994). Wrestling with change: The dilemmas of teaching real mathematics. Portsmouth, NH: Heinemann.
Rudduck, J., & Hopkins, D. (1985). Research as a basis for teaching. Readings from the work of Lawrence Stenhouse. London: Hinemann Educational Books.
Santagata, R., & Stigler, J. W. (2000). Teaching mathematics: Italian lessons from a cross-cultural perspective. Mathematical Thinking and Learning, 2(3), 191–208.
Shadish, W., Cook, T., & Campbell, D. (2002). Experimental and quasi-experimental designs for generalized causal inference. Boston: Houghton Mifflin.
Sherin, M. G. (2002). A balancing act: Developing a discourse community in a mathematics classroom. Journal of Mathematics Teacher Education, 5(3), 205–233.
Smith, J. P., III. (1996). Efficacy and teaching mathematics by telling: A challenge for reform. Journal for Research in Mathematics Education, 27(4), 387–402.
Star, J. R. (2016). Improve math teaching with incremental improvements. Phi Delta Kappan, 97(7), 58–62.
Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American Educational Research Journal, 33, 455–488.
Taylor, C. (1993). To follow a rule…. In C. Calhoun, E. LiPuma, M Postone (Eds.), Bourdieu: Critical perspectives (pp. 45–60). Chicago: University of Chicago Press.
Thanheiser, E., & Jansen, A. (2016). Inviting prospective teachers to share rough draft mathematical thinking. Mathematics Teacher Educator, 4(2).
Weick, K. E. (1976). Educational organizations as loosely coupled systems. Administrative Science Quarterly, 21(1), 1–19.
Weiss, M., Herbst, P., & Chen, C. (2009). Teachers’ perspectives on “authentic mathematics” and the two-column proof form. Educational Studies in Mathematics, 70(3), 275–293.
Wenger, E. (1997). Communities of practice: Learning meaning and identity. Cambridge, MA: Cambridge University Press.
Zazkis, R., Liljedahl, P., & Sinclair, N. (2009). Lesson plays: Planning teaching versus teaching planning. For the Learning of Mathematics, 29(1), 40–47.
Acknowledgement
The writing of this chapter has been supported by NSF grant DRL-1316241 to D. Chazan and P. Herbst; some of the activities reported were supported by NSF grant DRL-0918425 to P. Herbst and D. Chazan and by a subcontract to P. Herbst of a Mathematics and Science Partnership grant from the U.S. Department of Education through the State of Michigan Department of Education to the Macomb Intermediate School District (APR # MI50804, Deborah Ferry, P.I.). All opinions are those of the authors and do not necessarily represent the views of the sponsors.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Herbst, P., Milewski, A. (2018). What StoryCircles Can Do for Mathematics Teaching and Teacher Education. In: Zazkis, R., Herbst, P. (eds) Scripting Approaches in Mathematics Education . Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-62692-5_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-62692-5_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-62691-8
Online ISBN: 978-3-319-62692-5
eBook Packages: EducationEducation (R0)