Skip to main content

What Simulation-Based Mentoring May Afford: Opportunities to Connect Theory and Practice

  • Chapter
  • First Online:
Games and Simulations in Teacher Education

Part of the book series: Advances in Game-Based Learning ((AGBL))

Abstract

In this chapter, we contribute some insights from project SimTeach (Herbst P, Chieu VM, SIMTEACH: What can practical knowledge modeled in a teaching simulator contribute to support mathematics teacher learning? National Science Foundation Grant, EHR, DRL-1420102, 2014) concerning the role that technologically mediated teaching simulations can play in learning to teach. We examine opportunities to learn about the teaching of mathematics afforded by the use of a digital simulation of a lesson in the context of simulation-based apprenticeship encounters between a novice teacher and four different experienced teachers who, in paired encounters, mentored her by sharing their thinking as they went through the simulation. These encounters gave opportunities to connect abstract concepts of teaching to practical ways in which they might be experienced in classrooms. We present this as a contribution to the perennial problem of connecting theory and practice in learning to teach.

In memoriam Karen King

Work described in this chapter was done with resources from NSF grant DRL-1420102 (P. Herbst, PI). An earlier version of part of this material was shared at the 2017 NCTM Research Conference, San Antonio, TX.

Vu-Minh Chieu participated of this work when he was an Assistant Research Scientist at the University of Michigan. He is currently a Software Development Engineer at Amazon.com, Inc.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    CPCTC stands for corresponding parts of congruent triangles are congruent.

References

  • Anderson, D., Lawson, B., & Mayer-Smith, J. (2006). Investigating the impact of a practicum experience in an aquarium on pre-service teachers. Teaching Education, 17(4), 341–353.

    Article  Google Scholar 

  • Bain, R., & Moje, E. (2012). Mapping the teacher education terrain for novices. Phi Delta Kappan, 93(5), 62–65.

    Article  Google Scholar 

  • Balacheff, N. (1994). Didactique et intelligence artificielle. Recherches en Didactique des Mathematiques, 14, 9–42.

    Google Scholar 

  • Balacheff, N., & Gaudin, N. (2010). Modeling students’ conceptions: The case of function. CBMS Issues in Mathematics Education, 16, 207–234.

    Article  Google Scholar 

  • Ball, D., & Forzani, F. (2011). Building a common core for learning to teach and connecting professional learning to practice. American Educator, 35(2), 17–21, 38–39.

    Google Scholar 

  • Bourdieu, P. (1998). Practical reason: On the theory of action. Palo Alto, CA: Stanford University Press.

    Google Scholar 

  • Bradley, E. G., & Kendall, B. (2014). A review of computer simulations in teacher education. Journal of Educational Technology Systems, 43(1), 3–12.

    Article  Google Scholar 

  • Brousseau, G. (1997). Theory of didactical situations in mathematics: Didactique des Mathématiques 1970–1990. Dordrecht, The Netherlands: Kluwer.

    Google Scholar 

  • Butler, B. M., & Cuenca, A. (2012). Conceptualizing the roles of mentor teachers during student teaching. Action in Teacher Education, 34(4), 296–308.

    Article  Google Scholar 

  • Carroll, C., & Mumme, J. (2007). Learning to lead mathematics professional development. Thousand Oaks, CA: Corwin Press.

    Google Scholar 

  • Chazan, D., Callis, S., & Lehman, M. (2009). Embracing reason: Egalitarian ideals and the teaching of high school mathematics. New York, NY: Routledge.

    Book  Google Scholar 

  • 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. In D. Gitomer & C. Bell (Eds.), Handbook of research on teaching (5th ed., pp. 1039–1097). Washington, DC: AERA.

    Chapter  Google Scholar 

  • Chieu, V. M., & Herbst, P. (2011). Designing an intelligent teaching simulator for learning to teach by practicing. ZDM Mathematics Education, 43(1), 105–117.

    Article  Google Scholar 

  • Chieu, V. M., Luengo, V., Vadcard, L., & Tonetti, J. (2010). Student modeling in orthopedic surgery training: Exploiting symbiosis between temporal Bayesian networks and fine-grained didactic analysis. International Journal of Artificial Intelligence in Education, 20(3), 269–301.

    Google Scholar 

  • Christensen, R., Knezek, G., Tyler-Wood, T., & Gibson, D. (2011). simSchool: An online dynamic simulator for enhancing teacher preparation. International Journal of Learning Technology, 6(2), 201–220.

    Article  Google Scholar 

  • Cohen, D. K., Raudenbush, S. W., & Ball, D. L. (2003). Resources, instruction, and research. Educational Evaluation and Policy Analysis, 25(2), 119–142.

    Article  Google Scholar 

  • Crespo, S., Oslund, J. A., & Parks, A. N. (2011). Imagining mathematics teaching practice: Prospective teachers generate representations of a class discussion. ZDM Mathematics Education, 43(1), 119–131.

    Article  Google Scholar 

  • Dewey, J. (1965). The relation of theory to practice in education. In M. Borrowman (Ed.), Teacher education in America: A documentary history (pp. 140–171). New York, NY: Teachers College Press. (Original work published 1904).

    Google Scholar 

  • Dieker, L. A., Rodriguez, J. A., Lignugaris, B., Hynes, M. C., & Hughes, C. E. (2013). The potential of simulated environments in teacher education: Current and future possibilities. Teacher Education and Special Education, 37(1), 21–33.

    Article  Google Scholar 

  • Dieker, L. A., Straub, C. L., Hughes, C. E., Hynes, M. C., & Hardin, S. (2014). Learning from virtual students. Educational Leadership, 71(8), 54–58.

    Google Scholar 

  • Earnest, D., & Amador, J. M. (2019). Lesson planimation: Prospective elementary teachers’ interactions with mathematics curricula. Journal of Mathematics Teacher Education, 22(1), 37–68.

    Article  Google Scholar 

  • Fairbanks, C. M., Freedman, D., & Kahn, C. (2000). The role of effective mentors in learning to teach. Journal of Teacher Education, 51(2), 102–112.

    Article  Google Scholar 

  • FeimanNemser, S. (1996). Teacher mentoring: A critical review. ERIC Digest, 95, 2.

    Google Scholar 

  • Fernandez, M. L. (2010). Investigating how and what prospective teachers learn through microteaching lesson study. Teaching and Teacher Education, 26(2), 351–362.

    Article  Google Scholar 

  • Ferry, B., & Kervin, L. (2007). Developing an online classroom simulation to support a preservice teacher education program. In D. Gibson, C. Aldrich, & M. Prensky (Eds.), Games and simulations in online learning (pp. 189–205). Hershey, PA: Information Science.

    Chapter  Google Scholar 

  • Francis, A. T. (2017). Reforming only half: A study of practice-based teacher education in traditional field placements. Mid-Western Educational Researcher, 29(3), 235–260.

    Google Scholar 

  • Gibson, D., Aldrich, C., & Prensky, M. (Eds.). (2006). Games and simulations in online learning. Hershey, PA: Information Science.

    Google Scholar 

  • Gibson, D., Christensen, R., Tyler-Wood, T., & Knezek, G. (2011, March). SimSchool: Enhancing teacher preparation through simulated classrooms. In Society for information technology & teacher education international conference (pp. 1504–1510). Association for the Advancement of Computing in Education (AACE).

    Google Scholar 

  • Girod, M., & Girod, G. R. (2008). Simulation and the need for practice in teacher preparation. Journal of Technology and Teacher Education, 16(3), 307–337.

    Google Scholar 

  • Glaser, B. G., & Strauss, A. L. (1967). The discovery of grounded theory: Strategies for qualitative research. New York, NY: Aldine Publishing Company.

    Google Scholar 

  • 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 

  • Grossman, P., Hammerness, K., & McDonald, M. (2009). Redefining teaching, re-imagining teacher education. Teachers and Teaching: Theory and Practice, 15(2), 273–289.

    Article  Google Scholar 

  • Herbst, P. (2006). Teaching geometry with problems: Negotiating instructional situations and mathematical tasks. Journal for Research in Mathematics Education, 37, 313–347.

    Google Scholar 

  • Herbst, P., & Chazan, D. (2011). Research on practical rationality: Studying the justification of actions in mathematics teaching. The Mathematics Enthusiast, 8(3), 405–462.

    Google Scholar 

  • Herbst, P., & Chazan, D. (2012). On the instructional triangle and sources of justification for actions in mathematics teaching. ZDM Mathematics Education, 44(5), 601–612.

    Article  Google Scholar 

  • 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 Mathematics Education, 43(1), 91–103.

    Article  Google Scholar 

  • Herbst, P., Chazan, D., & Milewski, A. (2020). Technology tools for mathematics teacher learning: How might they support the development of capacity for specific teaching assignments? In O. Chapman & S. Llinares (Eds.), Handbook of research in mathematics teacher education (pp. 223–251). Dordrecht, The Netherlands: Brill-Sense.

    Google Scholar 

  • Herbst, P., Chen, C., Weiss, M., Gonzalez, G., Nachlieli, T., Hamlin, M., & Brach, C. (2009). “Doing proofs” in geometry classrooms. In M. Blanton, D. Stylianou, & E. Knuth (Eds.), The teaching and learning of proof across the grades: A K-16 perspective (pp. 250–268). New York, NY: Routledge.

    Google Scholar 

  • Herbst, P., & Chieu, V. M. (2014). SIMTEACH: What can practical knowledge modeled in a teaching simulator contribute to support mathematics teacher learning? Proposal to the National Science Foundation, EHR, DRL-1420102.

    Google Scholar 

  • Herbst, P., & Milewski, A. (2020, February). Using story Circles to inquire into the social and representational infrastructure of lesson-centered teacher collaboration. In H. Borko & D. Potari (Eds.), Teachers of mathematics working and learning in collaborative groups: Proceedings from ICMI Study 25 (pp. 629–636). Lisbon, Portugal: University of Lisbon.

    Google Scholar 

  • Holmes Group. (1990). Tomorrow’s schools: Principles for the design of professional development schools. East Lansing, MI: Holmes Group.

    Google Scholar 

  • Jaworski, B., & Watson, A. (Eds.). (2014). Mentoring in mathematics teaching. London, UK: Routledge.

    Google Scholar 

  • Khasnabis, D., Goldin, S., & Ronfeldt, M. (2018). The practice of partnering: Simulated parent–teacher conferences as a tool for teacher education. Action in Teacher Education, 40(1), 77–95.

    Article  Google Scholar 

  • Kim, C., Kim, D., Yuan, J., Hill, R. B., Doshi, P., & Thai, C. N. (2015). Robotics to promote elementary education pre-service teachers' STEM engagement, learning, and teaching. Computers & Education, 91, 14–31.

    Article  Google Scholar 

  • Lampert, M. (1985). How do teachers manage to teach? Perspectives on problems in practice. Harvard Educational Review, 55(178–194), 1985.

    Google Scholar 

  • Lampert, M. (2010). Learning teaching in, from, and for practice: What do we mean? Journal of Teacher Education, 61(1–2), 21–34.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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(5), 378–386.

    Article  Google Scholar 

  • Michigan Education. (2019). Designing the future of STEM education… and educators. Michigan Education Magazine, Fall issue, 21–23.

    Google Scholar 

  • Piaget, J. (1985). The equilibration of cognitive structures: The central problem of intellectual development. Chicago: University of Chicago Press.

    Google Scholar 

  • Rougée, A. and Herbst, P. (2018). Does the medium matter? A comparison of secondary mathematics preservice teachers’ representations of practice created in text and storyboarding media. In R. Zazkis and P. Herbst (Eds.), Scripting approaches in mathematics education: Mathematical dialogues in research and practice (pp. 265–292). Cham, Switzerland: Springer.

    Google Scholar 

  • Schoenfeld, A. H. (2015). How we think: A theory of human decision making, with a focus on teaching. In S. H. Cho (Ed.), The proceedings of the 12th international congress on mathematical education (pp. 229–2243). Cham, Switzerland: Springer International Publishing.

    Chapter  Google Scholar 

  • Shaughnessy, M., & Boerst, T. A. (2018). Uncovering the skills that preservice teachers bring to teacher education: The practice of eliciting a student’s thinking. Journal of Teacher Education, 69(1), 40–55.

    Article  Google Scholar 

  • Shin, S. J. (2006). Learning to teach writing through tutoring and journal writing. Teachers and Teaching: Theory and Practice, 12(3), 325–345.

    Article  Google Scholar 

  • Thompson, M., Owho-Ovuakporie, K., Robinson, K., Kim, Y. J., Slama, R., & Reich, J. (2019). Teacher moments: A digital simulation for preservice teachers to approximate parent–teacher conversations. Journal of Digital Learning in Teacher Education, 35(3), 144–164.

    Article  Google Scholar 

  • Tyler-Wood, T., Estes, M., Christensen, R., Knezek, G., & Gibson, D. (2015). SimSchool: An opportunity for using serious gaming for training teachers in rural areas. Rural Special Education Quarterly, 34(3), 17–20.

    Article  Google Scholar 

  • Vadcard, L. (2013). Étude didactique de la dialectique du travail et de la formation au bloc opératoire. Éducation et Didactique, 7(1), 117–146.

    Article  Google Scholar 

  • van Es, E. A., Tunney, J., Goldsmith, L. T., & Seago, N. (2014). A framework for the facilitation of teachers’ analysis of video. Journal of Teacher Education, 65(4), 340–356.

    Article  Google Scholar 

  • van Ginkel, G., Oolbekkink, H., Meijer, P. C., & Verloop, N. (2016). Adapting mentoring to individual differences in novice teacher learning: The mentor’s viewpoint. Teachers and Teaching: Theory and Practice, 22(2), 198–218.

    Article  Google Scholar 

  • Vincent, A., & Shepherd, J. (1998). Experiences in teaching Middle East politics via internet-based role-play simulation. Journal of Interactive Media in Education, 98(11), 1–35.

    Google Scholar 

  • Zazkis, R., Liljedahl, P., & Sinclair, N. (2009). Lesson plays: Planning teaching versus teaching planning. For the Learning of Mathematics, 29(1), 40–47.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Patricio Herbst .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Herbst, P., Boileau, N., Shultz, M., Milewski, A., Chieu, VM. (2020). What Simulation-Based Mentoring May Afford: Opportunities to Connect Theory and Practice. In: Bradley, E. (eds) Games and Simulations in Teacher Education. Advances in Game-Based Learning. Springer, Cham. https://doi.org/10.1007/978-3-030-44526-3_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-44526-3_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-44525-6

  • Online ISBN: 978-3-030-44526-3

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics