# Reading and Reflecting: Elementary Preservice Teachers' Conceptions about Teaching Mathematics for Equity

## Keywords:

preservice teachers, critical reflection, equity, elementary mathematics methods course, conceptions## Abstract

Teaching mathematics for equity is critical because it provides opportunities for all students, especially those who have been traditionally marginalized, to learn mathematics that is rigorous and relevant to their lives. This article reports on our work, as mathematics teacher educators, on exposing and engaging 60 elementary preservice teachers (PSTs) in readings and reflection on various perspectives on teaching mathematics for equity. We drew on Brookfield’s (1995) four critical lenses for reflection framework to select readings and create questions that required PSTs to critically reflect upon teaching mathematics for equity. An analysis of the reflections revealed a variety of responses as the PSTs critically reflected on equity, culture, and race in the context of mathematics teaching and learning. While some PSTs expressed teachers should be cognizant of equity when teaching mathematics, others were uncomfortable discussing equity related topics in the classroom. After critically reflecting on the readings and class discussions, the PSTs wanted to learn more and research different cultures so they would have a better understanding on how to integrate equity in their mathematics lessons.

## References

Ahlquist, R. (2001). Critical multicultural mathematics curriculum: Multiple connections through the lenses of race, ethnicity, gender, and social class. In J.E. Jacobs, J.R. Becker, & G.F. Glimer (Eds.), Changing the faces of mathematics: Perspectives on gender (pp. 25–36). Reston, VA: NCTM Publishing.

Bartell, T. G. (2013). Learning to teach mathematics for social justice: Negotiating social justice and mathematical goals. Journal for Research in Mathematics Education, 44(1), 129-163.

Bartell, T. G. (2012). Is this teaching mathematics for social justice? Teachers’ conceptions of mathematics classrooms for social justice. In A. A. Wager & D. W. Stinson (Eds.), Teaching mathematics for social justice: Conversations with educators (pp. 113-125). Reston, VA: National Council of Teachers of Mathematics

Bartell, T. G. (2011). Learning to teach mathematics for social justice: Negotiating social justice and mathematical goals. Journal of Research in Mathematics Education, 41, 5-35.

Bjuland, R., Cestari, M. L., & Borgersen, H. E. (2012). Professional mathematics teacher identity: Analysis of reflective narratives from discourses and activities. Journal of Mathematics Teacher Education, 15(5), 405-424.

Brookfield, S. D. (1995). Becoming a Critically Reflective Teacher. San Francisco, CA: Josey-Bass, Inc.

Collier, S. T. (1999). Characteristics of reflective thought during the student teaching experience. Journal of Teacher Education, 50(3), 173-181.

de Freitas, E. (2008). Troubling teacher identity: Preparing mathematics teachers to teach for diversity. Teaching Education, 19(1), 43-55.

DiME. (2007). Culture, race, power, and mathematics education. In F. Lester (Ed.), Second Handbook of Research on Mathematics Teaching and Learning (pp. 405–434). Charlotte, NC: Information Age Publishing.

Drake, C. (2006). Turning points: Using teachers’ mathematics life stories to understand the implementation of mathematics education reform. Journal of Mathematics Teacher Education, 9(6), 579-608.

Ellsworth, J. Z., & Buss, A. (2000). Autobiographical stories from preservice elementary mathematics and science students: Implications for K-16 teaching. School Science and Mathematics, 100 (7), 355-364.

Fernandes, A. (2012). Mathematics preservice teachers learning about English language learners through task-based interviews and noticing. Mathematics Teacher Educator, 1(1), 10-22.

Gates, P., Jorgenson, R. (2009). Foregrounding social justice in mathematics teacher education. Journal of Mathematics Teacher Education, 12(3), 161-170.

Gay, G. and Kirkland, K. (2003) Developing a cultural critical consciousness and self-reflection in pre-service teacher education. Theory into Practice. 42 (3), 181-187.

Gutierrez, R. (2002). Enabling the practice of mathematics teachers in context: Toward a new equity research agenda. Mathematical Thinking and Learning, 4(2-3), 145-187.

Gutstein, E. (2006). Reading and writing the world with mathematics: Toward a pedagogy for social justice. New York, NY: Routledge.

Harkness, S.S., D’Ambrosio, B., & Morrone, A.S. (2007). Preservice teachers voices’ describe how their teacher motivated them to do mathematics. Educational Studies in Mathematics. 65, 235-254.

Howard, T. C. (2003). Culturally relevant pedagogy: Ingredients for critical teacher reflection. Theory into Practice, 42(3), 195-202.

Koestler, C. (2012). Beyond apples, puppy dogs, and ice cream: preparing teachers to teach mathematics for equity and social justice. In A. A. Wager & D. W. Stinson (Eds.), Teaching mathematics for Social Justice: Conversations with Educators (pp. 81-97). Reston, VA: National Council of Teachers of Mathematics.

Leonard, J., & Evans, B. R. (2012). Challenging beliefs and dispositions: Learning to teach mathematics for social justice. In A. A. Wager & D. W. Stinson (Eds.), Teaching mathematics for social justice: Conversations with educators (pp. 99-111). Reston, VA: National Council of Teachers of Mathematics.

Mason, J. (2002). Researching your own practice: The discipline of noticing. New York: Routledge.

McCulloch, A.W., Marshall, P.L., & DeCuir-Gunby, J.T. (2009) Cultural capital in children’s number representations. Teaching Children Mathematics, 16 (3), 184-189.

Rousseau, C., & Tate, W. F. (2003). No time like the present: Reflecting on equity in school mathematics. Theory into Practice, 42(3), 210-216.

Secada, W.G. & Berman, P.W. (1999) Equity as a value-added dimension in teaching for understanding in school mathematics. In E. Fennema and T.A. Romberg (Eds.), Classrooms that Promote Student Understanding in Mathematics (pp. 33-42). Mahwah, NJ: Lawrence Erlbaum.

Sharp, K. M. (2003). Teacher reflection: A perspective from the trenches. Theory into Practice, 42(3), 243-247.

Strauss, A., & Corbin, J. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory (2nd ed.). Thousand Oaks, CA: Sage.

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