Skip to main content

(Re)Presenting Critical Mathematical Thinking Through Sociopolitical Narratives as Mathematics Texts

  • Chapter
The New Politics of the Textbook

Part of the book series: Constructing Knowledge ((CKCS,volume 2))

Abstract

In our professional work as mathematics educators we are often suspicious of reform or nontraditional approaches to teaching at the secondary level (Hu, 1996; Klein, 2003; Schoenfeld, 2004). We want what is best for our students: to thrive and succeed both in class and in life. Our role as mathematics educators is to help our students appreciate and be empowered by their mathematical knowledge.

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 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Anderson L. Analytic autoethnography. Journal of Contemporary Ethnography. 2006;35(4):373–395.

    Article  Google Scholar 

  • Apple MW. Comparing Neo-Liberal Projects and inequality in education. Comparative Education. 2001;37(4):409–423.

    Article  Google Scholar 

  • Applebaum M, Leikin R. Looking back at the beginning: Critical thinking in solving unrealistic problems. The Montana Mathematics Enthusiast. 2007;4(2):258–265.

    Google Scholar 

  • Ball D. Unlearning to teach mathematics. For the Learning of Mathematics. 1988;8:40–48.

    Google Scholar 

  • Ball D. Teaching, with respect to mathematics and students. In: Wood T, Nelson BS, Warfield J, editors. Beyond classical pedagogy: Teaching elementary school mathematics. Mahwah, NJ: Lawrence Erlbaum; 2001. p. 11–21.

    Google Scholar 

  • Chang H. Autoethnography as method. Walnut Creek, CA: Left Coast Press; 2008.

    Google Scholar 

  • Chase, S. E. (2005). Narrative inquiry: Multiple lenses, approaches, voices. The Sage Handbook of qualitative research (pp. 651-679). Thousand Oaks, CA: Sage.

    Google Scholar 

  • Connelly M, Clandinin DJ, He MF. Teachers’ personal practical knowledge on the professional knowledge landscape. Teaching and Teacher Education. 1997;13(7):665–674.

    Article  Google Scholar 

  • D’Ambrosio U. The role of mathematics in building a democratic and just society. For the Learning of Mathematics. 1990;10(3):20–23.

    Google Scholar 

  • Denzin N. Analytic autoethnography or déjà vu all over again. Journal of Contemporary Ethnography. 2006;35(4):419–428.

    Article  Google Scholar 

  • Dummett M. What is a theory of meaning? In: Evans G, McDowell J, editors. Truth and meaning. Oxford, England: Oxford University Press; 1999. p. 67–137.

    Google Scholar 

  • Dummett M. Elements of intuitionism. New York, NY: Oxford University Press; 2000.

    Google Scholar 

  • Ellis C, Bochner AP. Analyzing analytic autoethnography. Journal of Contemporary Ethnography. 2006;35(4):429–449.

    Article  Google Scholar 

  • Ernest P. The philosophy of mathematics education. London: Falmer Press; 1991.

    Google Scholar 

  • Frankenstein M. Incorporating race, gender, and class issues into a critical mathematical literacy curriculum. Journal of Negro Education. 1990;59(3):336–347.

    Article  Google Scholar 

  • Frankenstein M. Understanding the politics of mathematical knowledge as an integral part of becoming mathematically numerate. Radical Statistics. 1994;56:22–40.

    Google Scholar 

  • Giroux HA, McLaren P. Teacher education and the politics of engagement: The case for democratic schooling. Harvard Educational Review. 1986;56(3):213–238.

    Google Scholar 

  • Gutiérrez R. Enabling the practice of mathematics teachers in context: Toward a new equity research agenda. Mathematical Thinking and Learning. 2002;4(2&3):145–187.

    Article  Google Scholar 

  • Gutstein, E. (2008). Connecting community, critical, and classical knowledge in teaching mathematics for social justice. In International perspectives on social justice in mathematics education (pp. 153-167). Charlotte, NC: Information Age Publishing.

    Google Scholar 

  • hooks, bell, & Mesa-Bains, A. (2006). Homegrown: Engaged cultural criticism. Cambridge, MA: South End Press.

    Google Scholar 

  • Hu H. The mathematician and the mathematics education reform. Notices of the American Mathematical Society. 1996;43:1531–1537.

    Google Scholar 

  • Iben MF. Attitudes and mathematics. Comparative Education. 1991;27(2):135–151.

    Article  Google Scholar 

  • Kincheloe JL. The sign of the burger: McDonald’s and the culture of power. Philadelphia, PA: Temple University Press; 2002.

    Google Scholar 

  • Kincheloe JL. Critical pedagogy Primer (Second). New York, NY: Peter Lang Publishing; 2008.

    Google Scholar 

  • Klein D. A brief history of American K-12 mathematics ducation in the 20th century. In: Royer JM, editor. Mathematical cognition. Charlotte, NC: Information Age Publishing; 2003. p. 175–259.

    Google Scholar 

  • Lampert M. When the problem is not the question and the solution is not the answer: Mathematical knowing and teaching. American Educational Research Journal. 1990;27(1):29–63.

    Google Scholar 

  • Lapadat JC. Writing our way into shared understanding: Collaborative autobiographical writing in the qualitative methods class. Qualitative Inquiry. 2009;15(6):955–979.

    Article  Google Scholar 

  • Leader, L. F., & Middleton, J. A. (2004). Promoting critical-thinking dispositions by using problem solving in middle school mathematics. Research in Middle Level Education Online, 28(1). Retrieved January 7, 2011, fromhttp://www.nmsa.org/Publications/RMLEOnline/tabid/101/Default.aspx

  • Lincoln YS. Self, subject, audience, text: Living at the edge, writing in the margins. In: Tierney WG, Lincoln S, editors. Representation and the text: Re-framing the narrative voice. Albany, NY: State University of New York Press; 1997. p. 37–55.

    Google Scholar 

  • Madison DS. Critical ethnography: Method, ethics, and performance. Thousand Oaks, CA: SAGE; 2005.

    Google Scholar 

  • Mursell J. Principles of democratic education. New York, NY: Routledge; 1955.

    Google Scholar 

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

    Google Scholar 

  • National Council of Teachers of Mathematics. (2006). Curriculum focal points for prekindergarten through grade 8 mathematics. Reston, VA: Author.

    Google Scholar 

  • Ontario Ministry of Education. Guide to locally developed courses, Grades 9 to 12: Development and approval procedures. Toronto, Canada: Author; 2004.

    Google Scholar 

  • Ontario Ministry of Education. (2008). GAINS Home. .EduGAINS. Retrieved July 1, 2011, from http://www.edugains.ca/newsite/index.html.

  • Peterson B. La Escuela Fratney: A journey toward democracy. In: Apple MW, Beane JA, editors. Democatic schools: Lessons in powerful education. 2nd ed. Portsmouth, VA: Heinemann; 2007. p. 30–61.

    Google Scholar 

  • Popkewitz T. The alchemy of the mathematics curriculum: Inscriptions and the fabrication of the child. American Educational Research Journal. 2004;41(1):3–34.

    Article  Google Scholar 

  • Prince George Board of Education. (2004). Policy 6141.31: Board authorized and locally developed courses. Prince George: Author.

    Google Scholar 

  • Relich J. Gender, self-concept and teachers of mathematics: Effects on attitudes to teaching and learning. Educational Studies in Mathematics. 1996;30(2):179–195.

    Article  Google Scholar 

  • Romero J. Experience and context in the making of a Chicano activist. The High School Journal. 2004;87(4):95–111.

    Article  Google Scholar 

  • Ross V. A story of reform: Math, Science, Technology Investigations (MSI) in room 34 at Bay Street Community School. Journal of Curriculum Studies. 2004;36(5):587–603.

    Article  Google Scholar 

  • Schoenfeld AH. Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In: Grouws DA, editor. Handbook for research on mathematics teaching and learning. New York, NY: MacMillian; 1992. p. 334–370.

    Google Scholar 

  • Schoenfeld AH. The math wars. Educational Policy. 2004;18(1):253–286.

    Article  Google Scholar 

  • Secada WG. Education equity versus equality of education: An alternative conception. In: Secada WG, editor. Equity in education. New York, NY: The Falmer Press; 1989. p. 68–88.

    Google Scholar 

  • Skovsmose O, Valero P. Breaking political neutrality: The critical engagement of mathematics education with democracy. In: Atweh B, Forgasz H, Nebres B, editors. Sociocultural research in mathematics education: An international perspective. Mahwah, NJ: Lawrence Erlbaum; 2001. p. 37–57.

    Google Scholar 

  • Sokol AP, Balcom M, Watson EP, Marshall JC. A locally developed humanities program in Missouri. Theory into Practice. 1971;10:212–215.

    Article  Google Scholar 

  • Steen LA. Mathematics and democracy: The case for quantitative literacy. Princeton, NJ: National Council on Education and the Disciplines; 2001.

    Google Scholar 

  • Taylor R. The potential of small-group mathematics instruction in grades four through six. The Elementary School Journal. 1989;89(5):633–642.

    Article  Google Scholar 

  • von Glasersfeld, E. (1992). A constructivist approach to experiential foundations of mathematical concepts. In History and philosophy of science in science education (pp. 551-571). Kingston: Queen’s University.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Sense Publishers

About this chapter

Cite this chapter

Fish, M., Persaud, A. (2012). (Re)Presenting Critical Mathematical Thinking Through Sociopolitical Narratives as Mathematics Texts. In: Hickman, H., Porfilio, B.J. (eds) The New Politics of the Textbook. Constructing Knowledge, vol 2. SensePublishers, Rotterdam. https://doi.org/10.1007/978-94-6091-930-5_5

Download citation

Publish with us

Policies and ethics

Societies and partnerships