Part of the book series: Innovations in Science Education and Technology ((ISET,volume 24))

Abstract

Mathematical modeling and culturally relevant pedagogy (CRP) are both pedagogical approaches that rely on students’ knowledge of everyday situations, yet mathematics education research has not fully attended to the ways in which they can be united in the classroom. We use an interpretation of culture as students’ lived experiences, a perspective drawn from the Funds of Knowledge approach, which can uncover knowledge that is relevant for rich mathematical tasks and that can support socially conscious reflection. This chapter proposes a new pedagogical model, suggesting that the cycle of mathematical modeling provides key moments to access students’ culturally based knowledge and that this approach can address weaknesses in typical implementations of culturally relevant pedagogy. Mathematical modeling asks students to complete a problem-solving cycle involving sense-making, develo** problem-solving tools, interpretation and validation of results, and further cycles of model improvement. The early stage of sense-making and the reflective stages at the end of the first modeling cycle are key points at which teachers can plan discussions to foreground students’ cultural knowledge and critical consciousness. We provide examples of this approach through a task on modeling neighborhood fence designs, and we provide reflections on implementing this approach with preservice secondary teachers in an early stage of their pedagogical education.

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References

  • Aguirre, J. M., & Zavala, M. (2013). Making culturally responsive mathematics teaching explicit: A lesson analysis tool. Pedagogies: An International Journal, 8(2), 163–190. doi:10.1080/1554480X.2013.768518.

    Article  Google Scholar 

  • Anhalt, C., & Cortez, R. (2015). Mathematical modeling: A structured process. Mathematics Teacher, Focus Issue, February, 108(6), 446–452.

    Article  Google Scholar 

  • Arreola, D. D. (2012). Placemaking and Latino urbanism in a Phoenix Mexican immigrant community. Journal of Urbanism: International Research on Placemaking and Urban Sustainability, 5(2–3), 157–170. doi:10.1080/17549175.2012.693749.

    Article  Google Scholar 

  • Ascher, M. (1991). Ethnomathematics: A multicultural view of mathematical ideas. Pacific Grove: Brooks/Cole.

    Google Scholar 

  • Bateson, M. (2000). Full circles, overlap** lives: Culture and generation in transition. New York: Random House.

    Google Scholar 

  • Berry, J., Burghes, D., Huntley, I., James, D., & Moscardini, A. O. (Eds.). (1984). Teaching and applying mathematical modelling. Chichester: Ellis Horwood.

    Google Scholar 

  • Bishop, A. (1988). Mathematics education in its cultural context. Educational Studies in Mathematics, 19, 179–191.

    Article  Google Scholar 

  • Blum, W., & Leiss, D. (2005). “Filling up”—the problem of independence-preserving teacher interventions in lessons with demanding modeling tasks. In Proceedings of the fourth Congress of the European Society for Research in Mathematics Education (pp. 1623–1633). Presented at the European Research in Mathematics Education IV, Sant Feliu de Guíxols, Spain.

    Google Scholar 

  • Borba, M. (1997). Ethnomathematics and education. In A. Powell & M. Frankenstein (Eds.), Ethnomathematics: Challenging eurocentrism in mathematics education (pp. 261–272). Albany: SUNY.

    Google Scholar 

  • Burkhardt, H. (1984). Modelling in the classroom: How can we get it to happen? In J. S. Berry, D. N. Burghes, I. D. Huntley, D. J. G. James, & A. O. Moscardini (Eds.), Teaching and applying mathematical modelling (pp. 39–47). Chichester: Ellis Horwood.

    Google Scholar 

  • Carberry, A. R., & Baker, D. R. (2018f). The impact of culture on engineering and engineering education. In Y. J. Dori, Z. Mevarech, & D. Baker (Eds.), Cognition, metacognition, and culture in STEM education (pp. 217–239). Springer.

    Google Scholar 

  • Civil, M. (2007). Building on community knowledge: An avenue to equity in mathematics education. In N. Nassir & P. Cobb (Eds.), Improving access to mathematics: Diversity and equity in the classroom (pp. 105–117). New York: Teachers College Press.

    Google Scholar 

  • Civil, M. (2016). STEM learning research through a funds of knowledge lens. Cultural Studies of Science Education, 11(1), 41–59. doi:10.1007/s11422-014-9648-2.

    Article  Google Scholar 

  • Civil, M., & Andrade, R. (2002). Transitions between home and school mathematics: Rays of hope amidst the passing clouds. In G. de Abreu, A. J. Bishop, & N. C. Presmeg (Eds.), Transitions between contexts of mathematical practices (pp. 149–169). Boston: Kluwer.

    Chapter  Google Scholar 

  • Civil, M., & Kahn, L. (2001). Mathematics instruction developed from a garden theme. Teaching Children Mathematics, 7, 400–405.

    Article  Google Scholar 

  • Clifford, J. (1988). The predicament of culture: Twentieth-century ethnography, literature, and art. Cambridge, MA: Harvard University.

    Book  Google Scholar 

  • Common Core State Standards Initiative. (2010). Common core state standards for mathematics. Washington, DC: National Governors Association Center for Best Practices and Council of Chief State School Officers. Retrieved from http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf

  • d’Ambrosio, U. (1985). Ethnomathematics and its place in the history and pedagogy of mathematics. For the Learning of Mathematics, 5(1), 44–48.

    Google Scholar 

  • d’Ambrosio, U. (2006). Ethnomathematics: Link between traditions and modernity. Rotterdam: Sense Publishers.

    Book  Google Scholar 

  • Doerr, H. M., & English, L. D. (2003). A modeling perspective on students’ mathematical reasoning about data. Journal for Research in Mathematics Education, 34(2), 110–137.

    Article  Google Scholar 

  • English, L., & Sriraman, B. (2010). Problem solving for the 21st century. In B. Sriraman & L. English (Eds.), Theories of mathematics education: Seeking new frontiers (pp. 263–290). Berlin: Springer.

    Chapter  Google Scholar 

  • Felton, M., Anhalt, C., & Cortez, R. (2015). Going with the flow: Challenging students to make assumptions. Mathematics Teaching in the Middle School., Focus Issue on Mathematical Modeling, 20(6), 342–349.

    Article  Google Scholar 

  • Garfunkel, S., & Montgomery, M. (Eds.). (2016). Guidelines for assessment and instruction in mathematical modeling education (GAIMME) report. Boston: Consortium for Mathematics and Its Applications (COMAP)/Society for Industrial and Applied Mathematics (SIAM).

    Google Scholar 

  • Gay, G. (2000). Culturally responsive teaching: Theory, research, and practice. New York: Teachers College Press.

    Google Scholar 

  • Gay, G. (2002). Preparing for culturally responsive teaching. Journal of Teacher Education, 53(2), 106–116.

    Article  Google Scholar 

  • González, N. (2008). What is culture? In A. Roseberry & B. Warren (Eds.), Teaching science to English language learners: Building on students’ strengths (pp. 89–97). Arlington: National Science Teachers Association.

    Google Scholar 

  • González, N., Andrade, R., Civil, M., & Moll, L. (2001). Bridging funds of distributed knowledge: Creating zones of practices in mathematics. Journal of Education for Students Placed at Risk (JESPAR), 6(1–2), 115–132. doi:10.1207/S15327671ESPR0601-2_7.

    Article  Google Scholar 

  • González, N., Moll, L., & Amanti, C. (Eds.). (2005). Funds of knowledge: Theorizing practice in households, communities, and classrooms. Mahwah: Lawrence Erlbaum.

    Google Scholar 

  • Greenberg, J. B. (1989). Funds of knowledge: Historical constitution, social distribution, and transmission. Paper presented at the annual meetings of the Society for Applied Anthropology, Santa Fe, NM.

    Google Scholar 

  • Greer, B., Mukhopadhyay, S., Powell, A. B., & Nelson Barber, S. (Eds.). (2009). Culturally responsive mathematics education. New York: Routledge.

    Google Scholar 

  • Gutstein, E., Lipman, P., Hernandez, P., & De los Reyes, R. (1997). Equity, mathematics reform, and research: Crossing boundaries in search of understanding. Journal for Research in Mathematics Education, 28(6), 709–737.

    Article  Google Scholar 

  • Henze, R., & Hauser, M. (1999). Personalizing culture through anthropological and educational perspectives (Educational Practitioner Report #4). Santa Cruz: Center for Research on Education (CREDE), Diversity and Excellence. Retrieved from www.crede.ucsc.edu/products/print/eprs/epr4.html

  • Irvine, J. (2010). Culturally relevant pedagogy. Education Digest, 75(8), 57–61.

    Google Scholar 

  • Jablonka, E. (2007). The relevance of modelling and applications: Relevant to whom and for what purpose? In W. Blum, P. Galbraith, H. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education, The 14th ICMI Study (pp. 193–200). New York: Springer.

    Chapter  Google Scholar 

  • Jacobs, H. (1982). Mathematics: A human endeavor (2nd ed.). New York: Freeman Publishers.

    Google Scholar 

  • Ladson-Billings, G. (1995). But that’s just good teaching! The case for culturally relevant pedagogy. Theory Into Practice, 34(3), 159–165.

    Article  Google Scholar 

  • Lerman, S. (2000). The social turn in mathematics education research. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 14–44). Westport: Ablex.

    Google Scholar 

  • Lesh, R., & Zawojewski, J. S. (2007). Problem solving and modeling. In F. Lester (Ed.), The second handbook of research on mathematics teaching and learning (pp. 763–804). Charlotte: Information Age Publishing.

    Google Scholar 

  • Lipka, J., Yanez, E., Andrew-Ihrke, D., & Adam, S. (2009). A two-way process for develo** effective culturally based math: Examples from math in a cultural context. In B. Greer, S. Mukhopadhyay, S. Nelson-Barber, & A. Powell (Eds.), Culturally responsive mathematics education (pp. 257–280). New York: Routledge.

    Google Scholar 

  • Manger, W. F. (2000). The “idealized” Mexican American housescape. Material Culture, 32(1), 1–36.

    Google Scholar 

  • Meier, S. (2009). Mathematical modelling in a European context – a European network-project. In M. Blomhøj, & S. Carreira (Eds.), Mathematical applications and modelling in the teaching and learning of mathematics. Proceedings from Topic Study Group 21 at the 11th International Congress on Mathematical Education (pp. 207–216). Monterrey, Mexico, July 6–13, 2008.

    Google Scholar 

  • Moll, L. C., Amanti, C., Neff, D., & Gonzalez, N. (1992). Funds of knowledge for teaching: Using a qualitative approach to connect homes and classrooms. Theory Into Practice, 31(2), 132–141.

    Article  Google Scholar 

  • Mooney, D., & Swift, R. (1999). A course in mathematical modeling. Mathematical Association of America.

    Google Scholar 

  • Morrison, K., Robinson, H., & Rose, D. (2008). Operationalizing culturally relevant pedagogy: A synthesis of classroom-based research. Equity and Excellence in Education, 41(4), 433–452.

    Article  Google Scholar 

  • Moses, R. P., & Cobb, C. E. (2001). Radical equations: Math literacy and civil rights. Boston: Beacon Press.

    Google Scholar 

  • National Council of Teachers of Mathematics. (2000). In National Council of Teachers of Mathematics (Ed.), Principles and standards for school mathematics. Reston.

    Google Scholar 

  • Purzer, Ş., Moore, T. J., & Dringenberg, E. (2018). Engineering cognition: A process of knowledge acquisition and application. In Y. J. Dori, Z. Mevarech, & D. Baker (Eds.), Cognition, metacognition, and culture in STEM education (pp. 167–190). Springer.

    Google Scholar 

  • Sandoval-Taylor, P. (2005). Home is where the heart is: A funds of knowledge-based curriculum module. In N. González, L. C. Moll, & C. Amanti (Eds.), Funds of knowledge: Theorizing practices in households, communities, and classrooms (pp. 153–165). Mahwah: Lawrence Erlbaum.

    Google Scholar 

  • Schichl, H. (2004). Models and the history of modeling. In J. Kallrath (Ed.), Modeling languages in mathematical optimization (pp. 25–36). Boston: Kluwer.

    Chapter  Google Scholar 

  • Schmeichel, M. (2012). Good teaching? An examination of culturally relevant pedagogy as an equity practice. Journal of Curriculum Studies, 44(2), 211–231.

    Article  Google Scholar 

  • Sewell, W. (1999). The concept(s) of culture. In V. Bonnell & L. Hunt (Eds.), Beyond the cultural turn (pp. 35–61). Berkeley: University of California Press.

    Google Scholar 

  • Sjöström, J., & Eilks, I. (2018). Reconsidering different visions of scientific literacy and science education based on the concept of Bildung. In Y. J. Dori, Z. Mevarech, & D. Baker (Eds.), Cognition, metacognition, and culture in STEM education (pp. 65–88). Springer.

    Google Scholar 

  • Sleeter, C. (2011). An agenda to strengthen culturally responsive pedagogy. English Teaching: Practice and Critique, 10(2), 7–23.

    Google Scholar 

  • Society for Industrial and Applied Mathematics. (2012). Modeling across the curriculum. Report on a SIAM-NSF Workshop. Arlington, Virginia. August 30–31, 2012. http://connect.siam.org/siam-reports-on-modeling-across-the-curriculum

  • Tam, K. (2011). Modeling in the common Core state standards. Journal of Mathematics Education at Teachers College, 2, 28–33.

    Google Scholar 

  • Tapia J. (1991). Cultural reproduction: Funds of knowledge as survival strategies in the Mexican American community. Unpublished doctoral dissertation, University of Arizona, Tucson. Taylor, D., & Dorsey-Gaines, C. (1988).

    Google Scholar 

  • Tate, W. (1995). Getting to the root: A culturally relevant approach to mathematics pedagogy. Theory Into Practice, 34(3), 166–173.

    Article  Google Scholar 

  • Teaching Tolerance. [screen name]. (2010). Culturally relevant pedagogy. [video file]. Retrieved from https://www.youtube.com/watch?v=nGTVjJuRaZ8&feature=related

  • Troyna, B. (1987). Beyond multiculturalism: Towards the enactment of ant-racist education in policy, provision and pedagogy. Oxford Review of Education, 13(3), 307–320.

    Article  Google Scholar 

  • Turner, E., & Font Strawhun, B. (2007). Posing problems that matter: Investigating school overcrowding. Teaching Children Mathematics, 13, 457–463.

    Article  Google Scholar 

  • Turner, E., Varley Gutiérrez, M., Simic-Muller, K., & Díez Palomar, J. (2009). “Everything is math in the whole world”: Integrating critical and community knowledge in authentic mathematical investigations with elementary Latina/o students. Mathematical Thinking and Learning, 11, 136–157. http://dx.doi.org/10.1080/10986060903013382

  • Tylor, E. (1920, 1871). Primitive culture. New York: J. P. Putnam’s Sons.

    Google Scholar 

  • Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes (M. Cole, V. John-Steiner, S. Scribner, & E. Souberman., Eds.) (A. R. Luria, M. Lopez-Morillas, & M. Cole [with J. V. Wertsch], Trans.) Cambridge, MA: Harvard University Press. (Original manuscripts [ca. 1930–1934]).

    Google Scholar 

  • Wagner, D., & Lunney Borden, L. (2012). Aiming for equity in (ethno)mathematics research. In B. Herbel-Eisenmann, J. Choppin, D. Pimm, & D. Wagner (Eds.), Equity in discourse for mathematics education: Theories, practices, and policies (Mathematics Education Library, pp. 69–88). New York: Springer.

    Google Scholar 

  • Yoon, C., Dreyfus, T., & Thomas, M. (2010). How high is the tram** track? Mathematising and applying in a calculus model-eliciting activity. Mathematics Education Research Journal, 22(2), 141–157.

    Article  Google Scholar 

  • Young, E. (2010). Challenges to conceptualizing and actualizing culturally relevant pedagogy: How viable is the theory in classroom practice? Journal of Teacher Education, 61(3), 248–260.

    Article  Google Scholar 

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Anhalt, C.O., Staats, S., Cortez, R., Civil, M. (2018). Mathematical Modeling and Culturally Relevant Pedagogy. In: Dori, Y.J., Mevarech, Z.R., Baker, D.R. (eds) Cognition, Metacognition, and Culture in STEM Education. Innovations in Science Education and Technology, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-319-66659-4_14

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