Describing Curricular Materials for Mathematics Teacher Education in an Online, Rich Media Platform

  • Daniel ChazanEmail author
  • Patricio Herbst
  • Dana Grosser-Clarkson
  • Elizabeth Fleming
  • Janet Walkoe
  • Emina Alibegović
Part of the ICME-13 Monographs book series (ICME13Mo)


This chapter explores a way of describing the teacher education curricular materials being developed by mathematics teacher educators through their interaction with the LessonSketch online platform ( We briefly describe the platform and the larger project and then using the experiences created by two fellows illustrate the kinds of materials being created by the teacher educators. We then use Grossman’s pedagogies of practice to explore how with the materials they are creating teacher educators are representing practice, decomposing it, and providing opportunities for their students to approximate practice through the curricular artifacts that they are creating. We note that the use of these pedagogies of practice to describe curricular artifacts suggests three different kinds of representation of practice in the artifacts being created.


Teacher education Curricular materials Practice-based teacher education Online learning 



This publication was supported by the US National Science Foundation Grant DRL-1316241. The views presented are those of the authors and do not necessarily represent the views of the Foundation.

We greatly appreciate the work of the LR+D fellows and that they have allowed us to represent their work.

The storyboards presented here were created with the LessonSketch platform. LessonSketch is designed and developed by Pat Herbst, Dan Chazan, and Vu-Minh Chieu with the GRIP lab, School of Education, University of Michigan. The development of this environment has been supported with funds from National Science Foundation grants ESI-0353285, DRL-0918425, DRL-1316241, and DRL-1420102. The graphics used in the creation of these storyboards are © 2015 The Regents of the University of Michigan, all rights reserved. Used with permission.


  1. Amidon, J., & Casey, S. (2016, January). Developing preservice teacher noticing via the LessonSketch platform. Paper presented at the meeting of the Association of Mathematics Teacher Educators, Irvine, CA.Google Scholar
  2. Amidon, J., Chazan, D., Grosser-Clarkson, D., & Fleming, E. (2017). Meet me in Azul’s room: Designing a virtual field placement for learning to teach mathematics. Mathematics Teacher Educator, 6(1), 52–66.CrossRefGoogle Scholar
  3. Ball, D. L., & Cohen, D. K. (1999). Developing practice, developing practitioners: Toward a practice-based theory of professional education. In L. Darling-Hammond & G. Sykes (Eds.), Teaching as a learning profession: Handbook of policy and practice (pp. 3–32). San Francisco: Jossey-Bass.Google Scholar
  4. 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. Scholar
  5. Ball, D. L., Sleep, L., Boerst, T. A., & Bass, H. (2009). Combining the development of practice and the practice of development in teacher education. The Elementary School Journal, 109(5), 458–474. Scholar
  6. Bannister, N., Kalinec-Craig, C., Bowen, D. & Crespo, S. (2018). Learning to notice and name students’ mathematical strengths: A digital experience. Journal of Technology and Teacher Education, 26(1), 13–31. Waynesville, NC USA: Society for Information Technology & Teacher Education.Google Scholar
  7. Boaler, J., & Humphreys, C. (2005). Connecting mathematical ideas: Middle school video cases to support teaching and learning. Portsmouth, NH: Heinemann.Google Scholar
  8. Brophy, J. (Ed.). (2004). Using video in teacher education. Oxford: Elsevier.Google Scholar
  9. Buchbinder, O., Zodik, I., Ron, G., & Cook, A. (2017). What can you infer from this example? Applications of online, rich-media tasks for enhancing pre-service teachers’ knowledge of the roles of examples in proving. In A. Leung & A. Baccaglini-Frank (Eds.), Digital technologies in designing mathematics education tasks: Potential and pitfalls (pp. 215–235). Switzerland: Springer. Scholar
  10. Chazan, D., & Herbst, P. (2012). Animations of classroom interaction: Expanding the boundaries of video records of practice. Teachers’ College Record, 114(3), 1–34.Google Scholar
  11. Chazan, D., Herbst, P., & Clark, L. (2016). Research on the teaching of mathematics: A call to theorize the role of society and schooling in mathematics instruction. In D. Gitomer & C. Bell (Eds.), Handbook of research on teaching (5th ed., pp. 1039–1098). Washington, DC: American Educational Research Association.CrossRefGoogle Scholar
  12. Chazan, D., & Yerushalmy, M. (2014). The future of textbooks: Ramifications of technological change for curricular research in mathematics education. In M. Stochetti (Ed.), Media and education in the digital age: A critical introduction (pp. 63–76). New York, NY: Peter Lang.Google Scholar
  13. Cohen, E. G., & Lotan, R. A. (2014). Designing groupwork: Strategies for the heterogeneous classroom (3rd ed.). New York, NY: Teachers College Press.Google Scholar
  14. Darling-Hammond, L. (2012). The right start: Creating a strong foundation for the teaching career. Phi Delta Kappan, 94(3), 8–13. Scholar
  15. Featherstone, H., Crespo, S., Jilk, L. M., Oslund, J. A., Parks, A. N., & Wood, M. B. (2011). Smarter together! Collaboration and equity in the elementary math classroom (1st ed.). Reston, VA: National Council of Teachers of Mathematics.Google Scholar
  16. Grossman, P., Compton, C., Igra, D., Ronfeldt, M., Shahan, E., & Williamson, P. (2009). Teaching practice: A cross-professional perspective. Teachers College Record, 111(9), 2055–2100.Google Scholar
  17. Grossman, P., & McDonald, M. (2008). Back to the future: Directions for research in teaching and teacher education. American Educational Research Journal, 45(1), 184–205.CrossRefGoogle Scholar
  18. Herbst, P., Aaron, W., & Chieu, V. M. (2013). LessonSketch: An environment for teachers to examine mathematical practice and learn about its standards. In D. Polly (Ed.), Common core mathematics standards and implementing digital technologies (pp. 281–294). Hershey, PA: IGI Global.CrossRefGoogle Scholar
  19. Herbst, P., Boileau, N., Clark, L., Milewski, A., Chieu, V. M., Gursel, U., et al. (2017). Directing focus and enabling inquiry with representations of practice: Written cases, storyboards, and teacher education. Paper accepted and to be presented at 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Indianapolis, IN.Google Scholar
  20. Herbst, P., Chazan, D., Chieu, V. M., Milewski, A., Kosko, K. W., & Aaron, W. R. (2016). Technology-mediated mathematics teacher development: Research on digital pedagogies of practice. In M. Niess, S. Driskell, & K. Hollebrands (Eds.), Handbook of research on transforming mathematics teacher education in the digital age (pp. 78–106). Hershey, PA: IGI Global. Scholar
  21. Herbst, P., & Chieu, V. M. (2011). Depict: A tool to represent classroom scenarios. Technical report. Deep Blue at the University of Michigan.
  22. Kosko, K. W. (2014). Using multi-decision scenarios to facilitate teacher knowledge for mathematical questioning. In M. J. Mohr-Schroeder & S. S. Harkness (Eds.), Proceedings of the 113th Annual Convention of the School Science and Mathematics Association (pp. 23–30). Jacksonville, FL: SSMA.Google Scholar
  23. Kosko, K. W. (2016). Improving pre-service teachers’ noticing while learning to launch. In M. B. Wood, E. E. Turner, M. Civil, & J. A. Eli (Eds.), Proceedings of the 38th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1341–1344). Tucson, AZ: The University of Arizona.Google Scholar
  24. Lacey, C. A., & Merseth, K. K. (1993). Cases, hypermedia and computer networks: Three curricular innovations for teacher education. Journal of Curriculum Studies, 25, 543–551.CrossRefGoogle Scholar
  25. Lampert, M. (1985). How do teachers manage to teach? Perspectives on problems in practice. Harvard Educational Review, 55(2), 178–194.CrossRefGoogle Scholar
  26. Lampert, M. (2010). Learning teaching in, from, and for practice: What do we mean? Journal of Teacher Education, 61(1–2), 21–34. Scholar
  27. Love, E., & Pimm, D. (1996). ‘This is so’: A text on texts. In A. Bishop, K. Clements, C. Keitel, J. Kilpatrick, & C. Laborde (Eds.), International handbook of mathematics education (Vol. 1, pp. 371–409). Dordrecht, The Netherlands: Kluwer.Google Scholar
  28. McDonald, M., Kazemi, E., & Kavanagh, S. S. (2013). Core practices and pedagogies of teacher education: A call for a common language and collective activity. Journal of Teacher Education, 64(4), 378–386.CrossRefGoogle Scholar
  29. National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common core state standards for mathematics. Washington, DC: Authors.Google Scholar
  30. Popkewitz, T. S. (1987). The formation of school subjects: The struggle for creating an American institution. London, UK: Falmer Press.Google Scholar
  31. Sherin, M., & van Es, E. (2009). Effects of video club participation on teachers’ professional vision. Journal of Teacher Education, 60(1), 20–37.CrossRefGoogle Scholar
  32. Walkoe, J. & Levin, D.M. (2018). Using technology in representing practice to support preservice teachers’ quality questioning: The roles of noticing in improving practice. Journal of Technology and Teacher Education, 26(1), 127–147. Waynesville, NC USA: Society for Information Technology & Teacher Education.Google Scholar
  33. Wieman, R., & Jansen, A. (2016). Improving pre-service teachers’ noticing while learning to launch. In M. B. Wood, E. E. Turner, M. Civil, & J. A. Eli (Eds.), Proceedings of the 38th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 837–844). Tucson, AZ: The University of Arizona.Google Scholar
  34. Yerushalmy, M. (2005). Functions of interactive visual representations in interactive mathematical textbooks. International Journal of Computers for Mathematical Learning, 10(3), 217–249. Scholar
  35. Zeichner, K. (2012). The turn once again toward practice-based teacher education. Journal of Teacher Education, 63(5), 376–382. Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Daniel Chazan
    • 1
    Email author
  • Patricio Herbst
    • 2
  • Dana Grosser-Clarkson
    • 1
  • Elizabeth Fleming
    • 1
  • Janet Walkoe
    • 1
  • Emina Alibegović
    • 3
  1. 1.University of MarylandCollege ParkUSA
  2. 2.University of MichiganAnn ArborUSA
  3. 3.Rowland Hall SchoolSalt Lake CityUSA

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