Journal of Mathematics Teacher Education

, Volume 20, Issue 6, pp 591–619 | Cite as

Leader noticing of facilitation in videocases of mathematics professional development

  • Kristin LesseigEmail author
  • Rebekah Elliott
  • Elham Kazemi
  • Megan Kelley-Petersen
  • Matthew Campbell
  • Judith Mumme
  • Cathy Carroll


In this article, we report on Researching Mathematics Leader Learning (RMLL), a project designed to support leaders in learning how to facilitate robust opportunities for teachers’ mathematical learning. Our two-phase research design allowed us to construct a set of videocase seminars, enact the seminar design with leaders, analyze these data, refine our seminar design, and implement a second set of seminars with a new group of leaders. We drew on the noticing literature to examine leaders’ pedagogical reasoning as they discussed videocases of professional development. In this article, we demonstrate how changes in our framework for leader development and the resulting changes in the prompts and tasks shaped leader noticing in three ways: (a) accounting for the mathematical work of the facilitator and teachers in the videocase; (b) linking the mathematical work to goals for teacher learning; and (c) reasoning around the facilitator’s work in advancing those learning goals. Analysis indicates that in Phase II, leader discussions were more focused on the mathematical and pedagogical work needed to advance teacher learning. Based on our research and development work with over 70 leaders, we offer a set of design principles for leader professional development.


Professional development Leader noticing Specialized content knowledge Leader preparation Videocase use 



The research reported here is supported by a grant from the National Science Foundation (ESI-0554186). Opinions expressed in this report are the authors and do not necessarily reflect the views of NSF. We would also like to thank the anonymous reviewers and the journal editorial staff for their insightful critique of previous versions of the manuscript.


  1. Ball, D. L., & Cohen, D. K. (1999). Developing practice, developing practitioners: Toward a practice-based theory of professional education. In G. Sykes & L. Darling-Hammond (Eds.), Teaching as the learning profession: Handbook of policy and practice (pp. 3–32). San Francisco: Jossey Bass.Google Scholar
  2. Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59, 389–407.CrossRefGoogle Scholar
  3. Banilower, E. R., Boyd, S. E., Pasley, J. D., & Weiss, I. R. (2006). Lessons from a decade of mathematics and science reform: A capstone report for the local systemic change through teacher enhancement initiative. Chapel Hill, NC: Horizon Research.Google Scholar
  4. Bell, C. A., Wilson, S. M., Higgins, T., & McCoach, D. B. (2010). Measuring the effects of professional development on teacher knowledge: The case of developing mathematical ideas. Journal for Research in Mathematics Education, 41(5), 479–512.Google Scholar
  5. Blank, R. K., & Nina de las Alas, N. (2009) Effects of teacher professional development on gains in student achievement: How meta analysis provides scientific evidence useful to school leaders. Council of Chief State School Officers. Retrieved from
  6. Borko, H. (2004). Professional Development and Teacher Learning: Mapping the Terrain. Educational Researcher, 33(8), 3–15.CrossRefGoogle Scholar
  7. Borko, H., Jacobs, J., Eiteljorg, E., & Pittman, M. E. (2008). Video as a tool for fostering productive discussions in mathematics professional development. Teaching and Teacher Education, 24, 417–436.CrossRefGoogle Scholar
  8. Borko, H., Koellner, K., & Jacobs, J. (2014). Examining novice teacher leaders’ facilitation of mathematics professional development. Journal of Mathematical Behavior, 33, 149–167.CrossRefGoogle Scholar
  9. Brophy, J. (2004). Using video in teacher education. San Diego, CA: Elsevier.Google Scholar
  10. Campbell, P. F., & Malkus, N. N. (2014). The mathematical knowledge and beliefs of elementary mathematics specialist-coaches. ZDM, Mathematics Education, 46(2), 213–225.CrossRefGoogle Scholar
  11. Carroll, C., & Mumme, J. (2007). Learning to lead mathematics professional development. Thousand Oaks, CA: Corwin Press.Google Scholar
  12. Cobb, P., & Jackson, K. (2011). Towards an empirically grounded theory of action for improving the quality of mathematics teaching at scale. Mathematics Teacher Education and Development, 13(1), 6–33.Google Scholar
  13. Coles, A. (2013). Using video for professional development: The role of the discussion facilitator. Journal of Mathematics Teacher Education, 16(3), 165–184.CrossRefGoogle Scholar
  14. Conference Board of the Mathematical Sciences. (2012). The mathematical education of teachers II. Providence RI and Washington DC: American Mathematical Society and Mathematical Association of America. Retrieved from
  15. Davenport, L. R., & Ebby, A. (2000, April). Teacher leadership development in mathematics education: Stories of three apprentices. Paper presented at the annual meeting of American Educational Research Association, New Orleans, LA.Google Scholar
  16. Desimone, L. M. (2009). Improving impact studies of teachers’ professional development: Toward better conceptualizations and measures. Educational Researcher, 38(3), 181–199.CrossRefGoogle Scholar
  17. Elliott, R. L. (2005). Professional development of professional developers: Using practice-based materials to foster an inquiring stance. In paper presented at the annual meeting of the American Education Research Association, Montreal, Canada.Google Scholar
  18. Elliott, R., Kazemi, E., Lesseig, K., Mumme, J., Carroll, C., & Kelley-Petersen, M. (2009a). Conceptualizing the work of leading mathematical tasks in professional development. Journal of Teacher Education, 60(4), 364–379.Google Scholar
  19. Elliott, R., Lesseig, K., & Kazemi, E. (2009b). Sociomathematical norms in professional development: Examining leaders use of justification and its implications for practice. In L. Knott (Ed.), The role of mathematics discourse in producing leaders of discourse: A volume in The Montana Mathematics Enthusiast monograph series in mathematics education (Vol. 215–231). Charlotte, NC: Information Age Publishing.Google Scholar
  20. Even, R. (2005). Integrating knowledge and practice at MANOR in the development of providers of professional development for teachers. Journal of Mathematics Teacher Education, 8(4), 343–357.CrossRefGoogle Scholar
  21. Even, R. (2008). Facing the challenge of educating educators to work with practicing mathematics teachers. In T. Wood, B. Jaworski, K. Krainer, P. Sullivan, & T. Tirosh (Eds.), The international handbook of mathematics teacher education: The mathematics teacher educator as a developing professional (Vol. 4). Rotterdam: Sense.Google Scholar
  22. Even, R. (2014). Challenges associated with the professional development of didacticians. ZDM, Mathematics Education, 46(2), 329–333.CrossRefGoogle Scholar
  23. Even, R., Robinson, N., & Carmeli, M. (2003). The work of providers of professional development for teachers of mathematics: Two case studies of experienced practitioners. International Journal of Science and Mathematics Education, 1(2), 227–249.CrossRefGoogle Scholar
  24. Forman, E. A. (2004). A sociocultural approach to mathematics reform: Speaking, inscribing, and doing mathematics within communities of practice. In J. Kilpatrick, G. Martin, & D. Schifter (Eds.), A research companion to the NCTM standards. Reston, VA: National Council of Teachers of Mathematics.Google Scholar
  25. Goldsmith, L., & Seago, N. (2011). Using classroom artifacts to focus classroom noticing. In M. Sherin, V. Jacobs, & R. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes. New York: Routledge.Google Scholar
  26. Hill, H. C. (2004). Professional development standards and practices in elementary school mathematics. The Elementary School Journal, 104(3), 215–231.CrossRefGoogle Scholar
  27. Hill, H. (2010). The nature and predictors of elementary teachers’ mathematical knowledge for teaching. Journal for Research in Mathematics Education, 41(5), 511–545.Google Scholar
  28. Hill, H. C., & Ball, D. L. (2004). Learning mathematics for teaching: Results from California’s mathematics professional development institutes. Journal for Research in Mathematics Education, 35(5), 330–351.CrossRefGoogle Scholar
  29. Jackson, K., Cobb, P., Wilson, J., Webster, M., Dunlap, C., & Appelgate, M. (2015). Investigating the development of mathematics leaders’ capacity to support teachers’ learning on a large scale. ZDM, Mathematics Education, 47(1), 93–104.CrossRefGoogle Scholar
  30. Jacobs, J. K., & Morita, E. (2002). Japanese and American teachers’ evaluations of videotaped mathematics lessons. Journal for Research in Mathematics Education, 33, 154–175.CrossRefGoogle Scholar
  31. Janík, T., & Seidel, T. (2009). The power of video studies in investigating teaching and learning in the classroom. Münster: Waxmann.Google Scholar
  32. Jaworski, B. (1990). Video as a tool for teachers’ professional development. Professional Development in Education, 16(1), 60–65.Google Scholar
  33. Jaworski, B. (2001). Developing mathematics teaching: Teachers, teacher educators, and researchers as co-learners. In F. L. Lin & T. Cooney (Eds.), Making sense of mathematics teacher education (pp. 295–320). Netherlands: Springer. Google Scholar
  34. Jaworski, B., & Huang, R. (2014). Teachers and didacticians: Key stakeholders in the processes of developing mathematics teaching. ZDM, Mathematics Education, 46(2), 173–188.CrossRefGoogle Scholar
  35. Jensen, B., Sonnemann, J., Roberts-Hull, K., & Hunter, A. (2016). Beyond PD: Teacher professional learning in high-performing systems. Washington, DC: National Center on Education and the Economy.Google Scholar
  36. Kazemi, E., Elliott, R., Hubbard, A., Carroll, C., & Mumme, J. (2007). Doing mathematics in professional development: Theorizing teacher learning with and through sociomathematical norms. In T. de Silva Lamberg & L. R. Wiest (Eds.), Proceedings of the twenty ninth annual meeting North American chapter of the international group of the psychology of mathematics education (pp.796–803). Lake Tahoe, NV: University of Nevada, Reno.Google Scholar
  37. Kazemi, E., Elliott, R., Lesseig, K., Mumme, J., Carroll, C., & Kelley-Petersen, M. (2009). Doing mathematics in professional development: Working with leaders to cultivate mathematically rich teacher learning environments. In D. Mewborn & H. S. Lee (Eds.), Association of Mathematics Teacher Educators Monograph VI: Scholarly practices and inquiry in the preparation of mathematics teachers (pp. 171–186). San Diego, CA: Association of Mathematics Teacher Educators.Google Scholar
  38. Kazemi, E., Elliott, R., Mumme, J., Carroll, C., Lesseig, K., & Kelley-Petersen, M. (2010). Noticing leaders’ interactions with videocases of teachers engaged in mathematics tasks in professional development. In M. Sherin, V. Jacobs, & R. Phillipp (Eds.), Mathematics teacher noticing: Seeing through teachers' eyes. New York: Routledge.Google Scholar
  39. Koellner, K., Jacobs, J., & Borko, H. (2011). Mathematics professional development: Critical features for developing instructional leadership skills and building teachers’ capacity. Mathematics Teacher Education and Development, 13(1), 115–136.Google Scholar
  40. Loveless, T., Henriques, A., & Kelly, A. (2005). Mathematics and Science Partnership (MSP) Program: Descriptive analysis of winning proposals. Retrieved from
  41. Marrongelle, K., Sztajn, P., & Smith, M. (2013). Scaling up professional development in an era of common state standards. Journal of Teacher Education, 64(3), 201–211.CrossRefGoogle Scholar
  42. Mason, J. (2002). Researching your own practice: The discipline of noticing. New York: Routledge.Google Scholar
  43. Mason, J. (2011). Noticing: Roots and Branches. In M. Sherin, V. Jacobs, & R. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 35–50). New York: Routledge.Google Scholar
  44. McDuffie, A. R., Foote, M. Q., Bolson, C., Turner, E. E., Aguirre, J. M., Bartell, T. G., & Land, T. (2014). Using video analysis to support prospective K-8 teachers’ noticing of students’ multiple mathematical knowledge bases. Journal of Mathematics Teacher Education, 17(3), 245–270.CrossRefGoogle Scholar
  45. Neubrand, M. (2008) Knowledge of teachers—Knowledge of students: Conceptualizations and outcomes of a Mathematics Teacher Education Study in Germany. In Symposium on the occasion of the 100th anniversary of ICMI (Rome, March 58, 2008). Working group 2: The professional formation of teachers.Google Scholar
  46. Santagata, R. (2011). From teacher noticing to a framework for analyzing and improving classroom lessons. In M. Sherin, V. Jacobs, & R. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 152–168). New York: Routledge.Google Scholar
  47. Santagata, R., & Angelici, G. (2010). Studying the impact of the lesson analysis framework on preservice teachers’ abilities to reflect on videos of classroom teaching. Journal of Teacher Education, 61, 339–349.CrossRefGoogle Scholar
  48. Schifter, D., & Lester, J. B. (2005). Active facilitation: What do facilitators need to know and how might they learn it? The Journal of Mathematics and Science: Collaborative Explorations, 8, 97–118.Google Scholar
  49. Seago, N. (2004). Using video as an object of inquiry for mathematics teaching and learning. In J. Brophy (Ed.), Using video in teacher education (pp. 259–286). New York: Elsevier.Google Scholar
  50. Seago, N., & Goldsmith, L. (2006). Learning mathematics for teaching. In J. Novotna, H. Moraova, M. Kratka, & N. Stehlikova (Eds.), Proceedings of the conference of the international group for the psychology of mathematics education (30th), Prague, Czech Republic (Vol. 5, pp. 73–80).Google Scholar
  51. Sherin, M., Jacobs, V., & Philipp, R. (Eds.). (2011). Mathematics teacher noticing: Seeing through teachers’ eyes. New York: Routledge.Google Scholar
  52. Sherin, M. G., & van Es, E. A. (2009). Effects of video club participation on teachers’ professional vision. Journal of Teacher Education, 60(1), 20–37.CrossRefGoogle Scholar
  53. Star, J. R., & Strickland, S. K. (2008). Learning to observe: Using video to improve preservice teachers’ ability to notice. Journal of Mathematics Teacher Education, 11(2), 107–125.CrossRefGoogle Scholar
  54. Stein, M. K., Engle, R. A., Smith, M. S., & Hughes, E. K. (2008). Orchestrating productive mathematical discussions: Five practices for helping teachers move beyond show and tell. Mathematics Teaching and Learning, 10(4), 313–340.Google Scholar
  55. Stein, M. K., Smith, M. S., & Silver, E. A. (1999). The development of professional developers: Learning to assist teachers in new settings in new ways. Harvard Educational Review, 69(3), 237–269.CrossRefGoogle Scholar
  56. Studio Code Business Group. (2012). Studiocode. Warriewood, NSW: Sportstec.Google Scholar
  57. Suzuka, K., Sleep, L., Ball, D. L., Bass, H., Lewis, J., & Thames, M. (2009). Designing and using tasks to teach mathematical knowledge for teaching. In D. Mewborn & H. S. Lee (Eds.), Scholarly practices and inquiry in the preparation of mathematics teachers (pp. 7–24). San Diego, CA: Association of Mathematics Teacher Educators.Google Scholar
  58. Tzur, R. (2001). Becoming a mathematics teacher–educator: Conceptualizing the terrain through self-reflective analysis. Journal of Mathematics Teacher Education, 4(4), 259–283.CrossRefGoogle Scholar
  59. van Es, E. (2011). A framework for learning to notice student thinking. In M. Sherin, V. Jacobs, & R. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 134–151). New York: Routledge.Google Scholar
  60. van Es, E. A., & Sherin, M. G. (2002). Learning to notice: Scaffolding new teachers’ interpretations of classroom interactions. Journal of Technology and Teacher Education, 10(4), 571–596.Google Scholar
  61. van Es, E. A., & Sherin, M. G. (2008). Mathematics teachers’ “learning to notice” in the context of a video club. Teaching and Teacher Education, 24(2), 244–276.CrossRefGoogle Scholar
  62. Wilson, S. M., & Berne, J. (1999). Teacher learning and the acquisition of professional knowledge: An examination of research on contemporary professional development. In A. Iran-Nejad & P. D. Pearson (Eds.), Review of research in education (pp. 173–209). Washington, DC: American Educational Research Association.Google Scholar
  63. Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27, 458–477.CrossRefGoogle Scholar
  64. Zaslavsky, O., & Leikin, R. (2004). Professional development of mathematics teacher educators: Growth through practice. Journal of Mathematics Teacher Education, 7(1), 5–32.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  • Kristin Lesseig
    • 1
    Email author
  • Rebekah Elliott
    • 2
  • Elham Kazemi
    • 3
  • Megan Kelley-Petersen
    • 3
  • Matthew Campbell
    • 4
  • Judith Mumme
    • 5
  • Cathy Carroll
    • 5
  1. 1.Washington State University VancouverVancouverUSA
  2. 2.Oregon State UniversityCorvallisUSA
  3. 3.University of WashingtonSeattleUSA
  4. 4.West Virginia UniversityMorgantownUSA
  5. 5.WestEdSan FranciscoUSA

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