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Topics and Trends in Current Statistics Education Research pp 391–411Cite as

Critical Mathematics Education and Statistics Education: Possibilities for Transforming the School Mathematics Curriculum

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Part of the book series: ICME-13 Monographs ((ICME13Mo))

Abstract

This chapter discusses how ideas from critical mathematics education and statistics education intersect and could be used to transform the types of experiences that students have with both mathematics and statistics in the school mathematics curriculum . Key ideas from the critical mathematics literature are described to provide a background from which to discuss what a critical statistics education could be. The chapter ends with a discussion of some of the major barriers that need to be considered to make such a vision a reality and possible future directions for moving towards making a critical statistics education a reality.

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References

  • Abelson, R. P. (1995). Statistics as principled argument. Hillsdale, NJ: L. Erlbaum Associates.

    Google Scholar 

  • Apple, M. W. (1992). Do the standards go far enough? Power, policy, and practice in mathematics education. Journal for Research in Mathematics Education, 23(5), 412–431.

    Article  Google Scholar 

  • Apple, M. W., & Beane, J. (2007). The case for democratic schools. In Democratic schools: Lesson in powerful education (2nd ed.). Portsmouth, NH: Heinemann.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Belham, M. (2016, May 16). Lies, damned lies, and Brexit statistics. The Guardian. Retrieved from https://www.theguardian.com/news/datablog/2016/may/16/lies-damned-lies-and-brexit-statistics. Accessed 5 May, 2017.

  • Ben-Zvi, D., & Garfield, J. B. (2004). The challenge of developing statistical literacy, reasoning, and thinking. Dordrecht; Boston: Kluwer Academic Publishers.

    Book  Google Scholar 

  • Ben-Zvi, D., & Garfield, J. (2008). Introducing the emerging discipline of statistics education. School Science and Mathematics, 108(8), 355–361.

    Article  Google Scholar 

  • Bergen, S. (2016). Melding data with social justice in undergraduate statistics and data science courses. Paper presented at the IASE Roundtable Conference 2016: Promoting Understanding of Statistics about Society, Berlin, Germany.

    Google Scholar 

  • Bishop, A. J. (1988). Mathematics education in its cultural context. Educational Studies in Mathematics, 19(2), 179–191.

    Article  Google Scholar 

  • Boaler, J. (2002). Learning from teaching: Exploring the relationship between reform curriculum and equity. Journal for Research in Mathematics Education, 33(4), 239–258.

    Article  Google Scholar 

  • Boylan, M. (2016). Ethical dimensions of mathematics education. Educational Studies in Mathematics, 92(3), 395–409. https://doi.org/10.1007/s10649-015-9678-z.

    Article  Google Scholar 

  • Butler, J. (1990). Gender trouble: Feminism and the subversion of identity. New York: Routledge.

    Google Scholar 

  • Cobb, G. W., & Moore, D. S. (1997). Mathematics, statistics, and teaching. The American Mathematical Monthly, 104(9), 801–823.

    Article  Google Scholar 

  • Cohan, W. D. (2015, September). How Wall Street’s bankers stayed out of jail. The Atlantic. Retrieved from https://www.theatlantic.com/magazine/archive/2015/09/how-wall-streets-bankers-stayed-out-of-jail/399368/. Accessed 5 May, 2017.

  • Darder, A. (2014). Freire and education. New York, NY: Routledge.

    Book  Google Scholar 

  • Davidian, M., & Louis, T. A. (2012). Why statistics? Science, 336(6077), 12. https://doi.org/10.1126/science.1218685.

    Article  Google Scholar 

  • Davis, P., & Hersh, R. (1981). The mathematical experience. London: Penguin Books.

    Google Scholar 

  • Eichler, A., & Zapata-Cardona, L. (2016). Empirical research in statistics education. Cham: Springer International Publishing. Retrieved from http://link.springer.com/10.1007/978-3-319-38968-4.

    Book  Google Scholar 

  • Engel, J. (2016). Statistics education and monitoring progress towards civil rights. Paper presented at the IASE Roundtable Conference 2016: Promoting Understanding of Statistics about Society, Berlin, Germany.

    Google Scholar 

  • Fienberg, S. E. (1992). A brief history of statistics in three and one-half chapters: A review essay. Statistical Science, 7(2), 208–225.

    Article  Google Scholar 

  • Foucault, M. (1972). The archaeology of knowledge and the discourse of language. New York, NY: Pantheon Books.

    Google Scholar 

  • Frankenstein, M. (1994). Understanding the politics of mathematical knowledge as an integral part of becoming critically numerate. Radical Statistics, 56, 22–40.

    Google Scholar 

  • Frankenstein, M. (2009). Developing a critical mathematical numeracy through real real-life word problems. In L. Verschaffel, B. Greer, W. Van Dooran, & S. Mukhopadhyay (Eds.), Words and worlds: Modeling verbal descriptions of situations (pp. 111–130). Rotterdam: Sense Publishers.

    Google Scholar 

  • Franklin, C., Bargagliotti, A., Case, C., Kader, G., Scheaffer, R., & Spangler, D. (2015). Statistical education of teachers. American Statistical Association. Retrieved from http://www.amstat.org/education/SET/SET.pdf.

  • Franklin, C., Kader, G., Mewborn, D., Moreno, J., Peck, R., Perry, M., et al. (2007). Guidelines for assessment and instruction in statistics education (GAISE) report: A Pre-K-12 curriculum framework. Alexandria, VA: American Statistical Association.

    Google Scholar 

  • Freire, P. (1998). Education for critical consciousness. In A. M. Araujo & D. Macedo (Eds.), The Paulo Freire Reader (pp. 80–110). New York, NY: Cassell and Continuum.

    Google Scholar 

  • Freire, P. (1970). Pedagogy of the oppressed. New York, NY: Continuum.

    Google Scholar 

  • Freire, P., & Macedo, D. (1987). Literacy: Reading the word and the world. New York, NY: Taylor and Francis.

    Google Scholar 

  • Gal, I. (2002). Adults’ statistical literacy: Meaning, components, responsibilities. International Statistical Review, 70(1), 1–52.

    Article  Google Scholar 

  • Gattuso, L. (2006). Statistics and mathematics: Is it possible to create fruitful links. In Proceedings of the Seventh International Conference on Teaching Statistics, Salvador (Bahia), Brazil: International Association for Statistical Education and International Statistical Institute, Retrieved from http://iase-web.org/documents/papers/icots7/1C2_GATT.pdf.

  • Gattuso, L., & Ottaviani, M. G. (2011). Complementing mathematical thinking and statistical thinking in school mathematics. In C. Batanero, G. Burrill, & C. Reading (Eds.), Teaching statistics in school mathematics-challenges for teaching and teacher education: A joint ICMI/IASE study (pp. 121–132). New York, NY: Springer Science + Business Media.

    Chapter  Google Scholar 

  • Giroux, H. A. (1989). Schooling for democracy: Critical pedagogy in the modern age. London: Routledge.

    Google Scholar 

  • Giroux, H. A. (1993). Literacy and the politics of difference. In C. Lankshear & P. McLaren (Eds.), Critical literacy: Politics, praxis, and the postmodern (pp. 367–377). Albany, NY: SUNY Press.

    Google Scholar 

  • Giroux, H. A. (2011). On critical pedagogy. USA: Bloomsbury Publishing.

    Google Scholar 

  • Gray, M. (2016). Enhancing the understanding of statistics through student-conducted data gathering. Paper presented at the IASE Roundtable Conference 2016: Promoting Understanding of Statistics about Society, Berlin, Germany.

    Google Scholar 

  • Groth, R. E. (2007). Toward a conceptualization of statistical knowledge for teaching. Journal for Research in Mathematics Education, 38(5), 427–437.

    Google Scholar 

  • Groth, R. E. (2013). Characterizing key developmental understandings and pedagogically powerful ideas within a statistical knowledge for teaching framework. Mathematical Thinking and Learning, 15(2), 121–145. https://doi.org/10.1080/10986065.2013.770718.

    Article  Google Scholar 

  • Gutiérrez, R. (2013a). Why (urban) mathematics teachers need political knowledge. Journal of Urban Mathematics Education, 6(2). Retrieved from http://ed-osprey.gsu.edu/ojs/index.php/JUME/article/download/223/148. Accessed 6 May, 2017.

  • Gutiérrez, R. (2013b). The sociopolitical turn in mathematics education. Journal for Research in Mathematics Education, 44(1), 37–68.

    Article  Google Scholar 

  • Gutiérrez, R. (2009). Framing equity: Helping students “play the game” and “change the game”. Teaching for Excellence and Equity in Mathematics, 1(1), 5–7.

    Google Scholar 

  • Gutstein, E. (2003). Teaching and learning mathematics for social justice in an urban, Latino school. Journal for Research in Mathematics Education, 34(1), 37–73.

    Article  Google Scholar 

  • Gutstein, E. (2006). Reading and writing the world with mathematics. New York, NY: Routledge.

    Google Scholar 

  • Gutstein, E. (2013). Reflections on teaching and learning mathematics for social justice in urban schools. Teaching Mathematics for Social Justice: Conversations with Educators (pp. 63–78). Reston, VA: National Council of Teachers of Mathematics.

    Google Scholar 

  • Gutstein, E., Lipman, P., Hernandez, P., & de los Reyes, R. (1997). Culturally relevant mathematics teaching in a Mexican American context. Journal for Research in Mathematics Education, 28(6), 709–737. https://doi.org/10.2307/749639.

    Article  Google Scholar 

  • Gutstein, E., & Peterson, B. (2013). Rethinking mathematics: Teaching social justice by the numbers (2nd ed.). Milwaukee, WI: Rethinking Schools, LDT.

    Google Scholar 

  • Harding, S. (1991). Whose science? Whose knowledge? Thinking from women’s lives. Ithaca, NY: Cornell University Press.

    Google Scholar 

  • Herbel-Eisenmann, B. A., Lubienski, S. T., & Id-Deen, L. (2006). Reconsidering the study of mathematics instructional practices: The importance of curricular context in understanding local and global teacher change. Journal of Mathematics Teacher Education, 9(4), 313–345.

    Article  Google Scholar 

  • Katz, V. J. (2009). A history of mathematics: An introduction. Boston: Addison-Wesley.

    Google Scholar 

  • Labaree, D. F. (1997). Public goods, private goods: The American struggle over educational goals. American Educational Research Journal, 34(1), 39–81.

    Article  Google Scholar 

  • Ladson-Billings, G. (1995). Toward a theory of culturally relevant pedagogy. American Educational Research Journal, 32(3), 465–491.

    Article  Google Scholar 

  • Lesser, L. M. (2007). Critical values and transforming data: Teaching statistics with social justice. Journal of Statistics Education, 15(1), 1–21.

    Article  Google Scholar 

  • Mathematics. (n.d.). In Oxford English Dictionary online. Retrieved November 27, 2017 from https://en.oxforddictionaries.com/definition/mathematics.

  • Moore, D. S., & Cobb, G. W. (2000). Statistics and mathematics: Tension and cooperation. The American Mathematical Monthly, 107(7), 615–630.

    Article  Google Scholar 

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

    Google Scholar 

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

  • Orrill, C. H. (2016). The process is just messy: A historical perspective on adoption of innovations. The Mathematics Educator, 25(2), 71–94.

    Google Scholar 

  • Pfannkuch, M. (2008). Training teachers to develop statistical thinking. In C. Batanero, G. Burrill, C. Reading, & A. Rossman (Eds.), Joint ICMI/IASE Study: Teaching statistics in school mathematics. Challenges for teaching and teacher education. Proceedings of the ICMI Study 18 and 2008 IASE Round Table Conference. Monterrey, Mexico: International Commission on Mathematical Instruction and International Association for Statistical Education.

    Google Scholar 

  • Pfannkuch, M., Rubick, A., & Yoon, C. (2002). Statistical thinking and transnumeration. In B. Barton, K. C. Irwin, M. Pfannkuch, & M. O. J. Thomas (Eds.), Mathematics Education in the South Pacific (pp. 567–574). Auckland, New Zealand.

    Google Scholar 

  • Poling, L. L., & Naresh, N. (2014). Rethinking the intersection of statistics education and social justice. In K. Makar, B. de Sousa, & R. Gould (Eds.), Sustainability in statistics education. Flagstaff, AZ. Retrieved from http://iase-web.org/icots/9/proceedings/pdfs/ICOTS9_C177_POLING.pdf.

  • Scheaffer, R. L., & Jacobbe, T. (2014). Statistics education in the K-12 schools of the United States: A brief history. Journal of Statistics Education, 22(2). Retrieved from http://www.amstat.org/publications/jse/v22n2/scheaffer.pdf.

  • Schoenfeld, A. H. (2004). The math wars. Educational Policy, 18(1), 253–286.

    Article  Google Scholar 

  • Shaughnessy, M. (2007). Research on statistics learning and reasoning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 957–1009). Charlotte, NC: Information Age Publishing.

    Google Scholar 

  • Shulman, L. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1–23.

    Article  Google Scholar 

  • Skovsmose, O. (1994a). Towards a critical mathematics education. Educational Studies in Mathematics, 27(1), 35–57.

    Article  Google Scholar 

  • Skovsmose, O. (1994b). Towards a philosophy of critical mathematics education. New York, NY: Springer Science + Business Media.

    Book  Google Scholar 

  • Skovsmose, O., & Valero, P. (2008). Democratic access to powerful mathematical ideas. In L. D. English (Ed.), Handbook of international research in mathematics education (2nd ed., pp. 417–440). New York, NY: Routledge.

    Google Scholar 

  • Steen, L. (Ed.). (2001). Mathematics and democracy: The case for quantitative literacy. United States: The National Council on Education and the Disciplines.

    Google Scholar 

  • Stigler, S. M. (1986). The history of statistics: The measurement of uncertainty before 1900. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Ullmann, P. (2016). Communicating evidence? On the interaction of politics, data and the public. Presented at the IASE Roundtable Conference 2016: Promoting Understanding of Statistics about Society, Berlin, Germany.

    Google Scholar 

  • Usiskin, Z. (2014). On the relationships between statistics and other subjects in the k-12 curriculum. In K. Makar, B. de Sousa, & R. Gould (Eds.), Sustainability in statistics education. Flagstaff, AZ. Retrieved from https://iase-web.org/icots/9/proceedings/pdfs/ICOTS9_PL1_USISKIN.pdf. Accessed 6 May, 2017.

  • Utts, J. (2003). What educated citizens should know about statistics and probability. The American Statistician, 57(2), 74–79.

    Article  Google Scholar 

  • Wager, A. A., & Stinson, D. W. (Eds.). (2012). Teaching mathematics for social justice: Conversations with educators. Reston, VA: National Council of Teachers of Mathematics.

    Google Scholar 

  • Wild, C. J., & Pfannkuch, M. (1999). Statistical thinking in empirical enquiry. International Statistical Review, 67(3), 223–248.

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Appalachian State University, Boone, NC, USA

    Travis Weiland

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  1. Travis Weiland
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Correspondence to Travis Weiland .

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Editors and Affiliations

  1. Program in Mathematics Education, Michigan State University, East Lansing, MI, USA

    Gail Burrill

  2. Faculty of Education, University of Haifa, Haifa, Israel

    Dani Ben-Zvi

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Weiland, T. (2019). Critical Mathematics Education and Statistics Education: Possibilities for Transforming the School Mathematics Curriculum. In: Burrill, G., Ben-Zvi, D. (eds) Topics and Trends in Current Statistics Education Research. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-030-03472-6_18

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  • DOI: https://doi.org/10.1007/978-3-030-03472-6_18

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