Abstract
The purpose of this chapter is to highlight two mathematical modeling tasks that integrate economics and mathematics and discuss how this integration can support students’ development of critical literacy. Economics, as a field based on mathematical modeling, provides a natural way to integrate mathematical modeling into the elementary curriculum. This chapter describes how prospective teachers were introduced to mathematical modeling in a mathematics methods course and how one of those prospective teachers implemented a mathematical modeling task in her internship classroom shortly thereafter. Jana, the prospective teacher and second author of this chapter, describes how she saw an opportunity to integrate mathematics into a social living lesson focused on economics, which she had to teach as part of her internship. The goal of the task was for the third grade students to see how economics and mathematics are applicable in the real world and are often intertwined. Integrating mathematical modeling with economics provides unique opportunities for students to use mathematics to evaluate real-world situations and approach knowledge critically.
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References
Chiang, A. C., & Wainwright, K. (2005). Fundamental methods of mathematical economics (4th ed.). Singapore: McGraw-Hill International Edition.
Economics. (n.d.). Retrieved from https://www.merriam-webster.com/dictionary/economics
English, L. D. (2009). Promoting interdisciplinarity through mathematical modelling. ZDM, 41(1), 161–181. https://doi.org/10.1007/s11858-008-0106-z
English, L. D., & Watters, J. J. (2004). Mathematical modelling in the early school years. Mathematics Education Research Journal, 16(3), 58–79.
Garfunkel, S., & Montgomery, M. (Eds.). (2016). Guidelines for assessment and instruction in mathematical modeling education (GAIMME). Boston, MA: Consortium for Mathematics and Its Applications (COMAP) & Society for Industrial and Applied Mathematics (SIAM).
Geiger, V., Ärlebäck, J. B., & Frejd, P. (2016). Interpreting curricula to find opportunities for modeling: Case studies from Australia and Sweden. In C. R. Hirsch & A. R. McDuffie (Eds.), Mathematical modeling and modeling mathematics (pp. 207–215). Reston, VA: National Council of Teachers of Mathematics.
Goddard, J., II, Morris, Q. A., Robinson, S. B., & Shivaji, R. (2018). An exact bifurcation diagram for a reaction–diffusion equation arising in population dynamics. Boundary Value Problems, 2018(1), 170.
Greefrath, G., & Vorhölter, K. (2016). Teaching and learning mathematical modelling: Approaches and developments from German speaking countries. In Teaching and learning mathematical modelling (pp. 1–42). Cham, Switzerland: Springer.
Gutstein, E. (2006). Reading and writing the world with mathematics: Toward a pedagogy for social justice. New York, NY: Taylor & Francis.
Haile, A. T., Rientjes, T. H., Habib, E., Jetten, V., & Gebremichael, M. (2011). Rain event properties at the source of the Blue Nile River. Hydrology and Earth System Sciences, 15, 1023–1034. https://doi.org/10.5194/hess-15-1023-2011
Karali, D., & Durmus, S. (2015). Primary school pre-service mathematics teachers’ views on mathematical modeling. Eurasia Journal of Mathematics, Science & Technology Education, 11(4), 803–815.
Kitain, A., Gallagher, M., Khadka, R., Carpenter, S., Wondim, T., Byamukama, G., & Swaray, S. M. A. (2017). Benchmarking the tax system in Liberia. Washington, DC: United States Agency for International Development.
Kehler, A., (2003/2010). You decide! EconEdLink. https://www.econedlink.org/resources/you-decide/
Maiorca, C., & Stohlmann, M. (2016). Inspiring students in integrated STEM education through modeling activities. In C. R. Hirsch & A. R. McDuffie (Eds.), Mathematical modeling and modeling mathematics (pp. 153–161). Reston, VA: National Council of Teachers of Mathematics.
Medio, A. (2009). Mathematical models in economics. In J. A. Filar & J. B. Krawczyk (Eds.), Mathematical models, encyclopedia of life support systems (Vol. III, pp. 222–237). Oxford, UK: Eolss Publishers/UNESCO.
Middleton, J., Jansen, A., & Goldin, G. A. (2017). The complexities of mathematical engagement: Motivation, affect, and social interactions. In J. Cai (Ed.), Compendium for research in mathematics education (pp. 667–699). Reston, VA: National Council of Teachers of Mathematics.
Mueller, R. S., III. (2019). Report on the investigation into Russian interference in the 2016 presidential election. Washington, DC: U.S. Department of Justice.
National Council for the Social Studies. (n.d.). College, career, and civic life: C3 framework for social studies state standards. Silver Spring, MD: National Council for the Social Studies. Retrieved from https://www.socialstudies.org/sites/default/files/2017/Jun/c3-framework-for-social-studies-rev0617.pdf
National Governors Association Center for Best Practices, & Council of Chief State School Officers. (2010). Common core state standards for mathematics. Washington DC: Author.
National Research Council. (2001). Adding it up: Helping children learn mathematics. In J. Kilpatrick, J. Swafford, & B. Findell (Eds.), Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press.
Peterson, B. (2013). Teaching math across the curriculum. In E. Gutstein & B. Peterson (Eds.), Rethinking mathematics: Teaching social justice by the numbers (2nd ed., pp. 9–18). Milwaukee, WI: Rethinking Schools Ltd..
Phillips, E. D. (2016). Supporting teachers’ learning about mathematical modeling. In C. R. Hirsch & A. R. McDuffie (Eds.), Mathematical modeling and modeling mathematics (pp. 249–251). Reston, VA: National Council of Teachers of Mathematics.
Schiefele, U., & Csikszentmihalyi, M. (1995). Motivation and ability as factors in mathematics experience and achievement. Journal for Research in Mathematics Education, 26(2), 163–181.
Sevinc, S., & Lesh, R. (2018). Training mathematics teachers for realistic math problems: A case of modeling-based teacher education courses. ZDM, 50(1–2), 301–314. https://doi.org/10.1007/s11858-017-0898-9
Suh, J. M., & Seshaiyer, P. (2017). Modeling mathematical ideas: Developing strategic competence in elementary and middle school. Lanham, MD: Rowman & Littlefield.
Ulu, M. (2017). Examining the mathematical modeling processes of primary school 4th-grade students: Shopping problem. Universal Journal of Educational Research, 5(4), 561–580.
Wickstrom, M. H. (2017). Mathematical modeling: Challenging the figured worlds of elementary mathematics. In E. Galindo & J. Newton (Eds.), Proceedings of the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 685–692). Indianapolis, IN: Hoosier Association of Mathematics Teacher Educators.
Yanik, H. B., & Memis, Y. (2015). Making insulation decisions through mathematical modeling. Teaching Children Mathematics, 21(5), 314–319.
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Gallagher, M.A., Jones, J.P. (2021). Supporting Students’ Critical Literacy: Mathematical Modeling and Economic Decisions. 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_16
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