Abstract
This commentary acknowledges contributions from three chapters that address the teaching of mathematical modeling in the early grades. Carlson, Fulton, and Suh and colleagues each report on projects that engaged in-service elementary school teachers in crafting and implementing early experiences in mathematical modeling in the United States. The contributions of the chapters inform understanding of teaching of mathematical modeling (MM), especially in terms of teaching practices during planning and implementation of early MM experiences. Other contributions come in the form of tools that could assist teachers and researchers to monitor and improve classroom MM activities. In the commentary, the teaching practices illuminated by the reported research are contrasted and connected to broader literature on teacher practices. The phenomenon is compared also to the use of different frameworks to understand the more established area of teacher growth in the use of technology in teaching mathematics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389–407.
Bartell, T., Wager, A., Edwards, A., Battey, D., Foote, M., & Spencer, J. (2017). Toward a framework for research linking equitable teaching with the standards for mathematical practice. Journal for Research in Mathematics Education, 48(1), 7–21.
Beaudin, M., & Bowers, D. (1997). Logistics for facilitating CAS instruction. In J. Berry, J. Monaghan, M. Kronfellner, & B. Kutzler (Eds.), The state of computer algebra in mathematics education (pp. 126–135). Lancashire, UK: Chartwell-York.
Cirillo, M., Bartell, T. G., & Wager, A. A. (2016). Teaching mathematics for social justice through mathematical modeling. In C. Hirsch (Ed.), Annual perspectives in mathematics education 2016: Mathematical modeling and modeling mathematics (pp. 87–96). Reston, VA: National Council of Teachers of Mathematics.
Geiger, V., Ärlebäck, J. B., & Frejd, P. (2016). Interpreting curricula to find opportunities for modeling: Case studies from Australia and Sweden. In C. Hirsch (Ed.), Annual perspectives in mathematics education 2016: Mathematical modeling and modeling mathematics (pp. 207–215). Reston, VA: National Council of Teachers of Mathematics.
Heid, M. K., & Wilson, P. W. (with Blume, G. W.). (Eds.). (2015). Mathematical understanding for secondary teaching: A framework and classroom-based situations. Charlotte, NC: Information Age.
Kazemi, E., Franke, M., & Lampert, M. (2009). Developing pedagogies in teacher education to support novice teachers’ ability to enact ambitious instruction. Crossing Divides: Proceedings of the 32nd Annual Conference of the Mathematics Education Research Group of Australasia, 1 (pp. 11–30).
Kilpatrick, J., Blume, G., Heid, M. K., Wilson, J., Wilson, P., & Zbiek, R. M. (2015). Mathematical understanding for secondary teaching. In Heid, M. K., & Wilson, P., with Blume, G.W. (Eds.), Mathematical understanding for secondary teaching: A framework and classroom-based situations (pp. 9–30), Charlotte, NC: Information Age.
Lampert, M., Beasley, H., Ghousseini, H., Kazemi, E., & Franke, M. (2010). Using designed instructional activities to enable novices to manage ambitious mathematics teaching. In M. K. Stein & L. Kucan (Eds.), Instructional explanations in the disciplines (pp. 129–141). Boston, MA: Springer.
Lynch, J. K., Fischer, P., & Green, S. F. (1989). Teaching in a computer-intensive algebra curriculum. Mathematics Teacher, 82(9), 688–694.
Mishra, P., & Koehler, M. J. (2006). Technological pedagogical content knowledge: A new framework for teacher knowledge. Teachers College Record, 108, 1017–1054.
National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all. Reston, VA: Author.
National Governors Association Center for Best Practices and Council of Chief State School Officers. (2010). Common core state standards for mathematics. Washington, DC: Author. Retrieved September 1, 2019, from http://www.corestandards.org
National Research Council. (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.
Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15, 4–14.
Smith, M. S., & Stein, M. K. (2011). 5 practices for orchestrating productive mathematics discussions. Reston, VA: National Council of Teachers of Mathematics.
Zbiek, R. M (1995). Her math, their math: An in-service teacher’s growing understanding of mathematics and technology and her secondary school students’ algebra experience. In D. Owens, M. K. Reed, & G. M. Millsaps (Eds.), Proceedings of the seventeenth annual meeting, North American chapter of the international group for the psychology of mathematics education (pp. 214–220). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education. [ED 389 610]
Zbiek, R. M. (2016a). Developing mathematical modelers (Research into practice collection). Boston, MA: Pearson Education.
Zbiek, R. M. (2016b). Supporting teachers’ development as modelers and teachers of modelers. In C. Hirsch (Ed.), Annual perspectives in mathematics education 2016: Mathematical modeling and modeling mathematics (pp. 263–272). Reston, VA: National Council of Teachers of Mathematics.
Zbiek, R. M. (2018). Contemporary framing of technology in mathematics teaching. In M. E. Strutchens, R. Huang, D. Potari, & L. Losano (Eds.), Educating prospective secondary mathematics teachers (pp. 109–124). Dordrecht, The Netherlands: Springer.
Zbiek, R. M., & Connor, A. (2006). Beyond motivation: Exploring mathematical modeling as a context for deepening students’ understandings of curricular mathematics. Educational Studies in Mathematics, 63(1), 89–112.
Zbiek, R. M., & Hollebrands, K. (2008). A research-informed view of the process of incorporating mathematics technology into classroom practice by inservice and prospective teachers. In M. K. Heid & G. W. Blume (Eds.), Research on technology and the teaching and learning of mathematics: Volume 1 (pp. 287–344). Charlotte, NC: Information Age.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Zbiek, R.M. (2021). Teaching and Facilitating Mathematical Modeling: Teaching, Teaching Practices, and Innovation. In: Suh, J.M., Wickstrom, M.H., English, L.D. (eds) Exploring Mathematical Modeling with Young Learners. Early Mathematics Learning and Development. Springer, Cham. https://doi.org/10.1007/978-3-030-63900-6_9
Download citation
DOI: https://doi.org/10.1007/978-3-030-63900-6_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-63899-3
Online ISBN: 978-3-030-63900-6
eBook Packages: EducationEducation (R0)