Teachers’ homework strategies in the context of ambitious mathematics instruction: developing new practices

Authors

  • Mara Landers Los Medanos College

Keywords:

Mathematics Homework, Ambitious Instruction, Teacher Identity

Abstract

This article examines teaching practices designed to support community college students in productively engaging with mathematics homework. Two cases of how teachers set up homework, or prepare students to leave class and do homework are presented. The case studies examine how the teachers developed and implemented their strategies, with a focus on how their identities as teachers and the meanings they attach to homework shape their decisions. The study was conducted in a professional development component of a mathematics department committed to ambitious instructional practices, that is, those aligned with NCTM and Common Core Standards. Thus the teaching strategies presented in the cases, and the analysis of how teachers developed their practices, have implications for current efforts to implement new curricula and teaching practices.

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References

American Mathematical Association of Two Year Colleges (2006). Beyond crossroads: implementing mathematical standards in the first two years of college. Memphis, TN: AMATYC.

Austin, J.D. (1976). Do comments on mathematics homework affect student achievement? School Science and Mathematics, 79, 115-121.

Bang, H. (2011). Promising homework practices: teachers’ perspectives on making homework work for newcomer immigrant students. The High School Journal, 95(2), 3 – 31.

Battey, D. & Franke, M. (2008). Transforming identities: understanding teachers across professional development and classroom practice. Teacher Education Quarterly, 35(3), 127–149.

Beauchamp, C. & Thomas, L. (2009). Understanding teacher identity: an overview of issues in the literature and implications for teacher education. Cambridge Journal of Education. 39(2), 175–189.

Bluman J., Rowland M., & Mockensturm, E. (2010). Closing the homework feedback loop, an alternative approach to homework grading. 40th ASEE/IEEE Frontiers in Education Conference. Washington, DC.

Boaler, J., & Greeno, J. G. (2000). Identity, agency, and knowing in mathematics worlds. In J. Boaler (Ed.), Multiple Perspectives on Mathematics Teaching and Learning (pp. 171–200). Westport, CT: Ablex Publishing.

Bonham, B.S., & Boylan, H.R. (2011). Developmental mathematics: Challenges, promising practices, and recent initiatives. Journal of Developmental Education, 34(3), 2-10.

Bryan, T., & Sullivan-Burstein, K. (1998). Teacher-selected strategies for improving homework completion. Remedial and Special Education, 19 (5), 263-275.

Cobb, P. (1994). Where is the mind? Constructivist and sociocultural perspectives on mathematical development. Educational Researcher, 23(7), 13–20.

Cole, M. (1996). Cultural psychology: A once and future discipline. Cambridge, MA: Harvard University Press.

Cooper, H. (1989). Homework. New York: Longman.

Cooper, H., Lindsey, J.J., Nye, B., & Greathouse, S. (1998). Relationships among attitudes about homework, amount of homework assigned and completed, and student achievement. Journal of Educational Psychology, 90(1), 70-83.

Coutts, P. (2004). Meanings of homework and implications for practice. Theory Into Practice, 43(3), 182-188.

Elawar, M. C., & Corno, L. (1985). A factorial experiment in teachers’ written feedback on student homework: Changing teacher behavior a little rather than a lot. Journal of Educational Psychology, 77(2), 162-173.

Epstein, J. L., & Van Voorhis, F. L. (2001). Educational Psychologist, 36(3), 181-193.

Esmonde, I. (2009). Ideas and identities: Supporting equity in cooperative mathematics learning. Review of Educational Research, 79(2), 108-1043.

Fang, Y. (2010). The cultural pedagogy of errors: teacher Wang’s homework practice in teaching geometric proofs. Journal of Curriculum Studies, 42(5), 597–619.

Grubb, N. (2011). Understanding the “crisis†in basic skills: framing the issues in community colleges. Basic Skills Instruction in California Community Colleges, Working paper number one. Berkeley, CA: Policy Analysis For California Education.

Hancock, D.R. (2000). Impact of verbal praise on college students’ time spent on homework. The Journal of Educational Research, 93(6), 384 – 389.

Hodges, T. & Cady, J. (2012). Negotiating contexts to construct an identity as a mathematics teacher. The Journal of Educational Research, 105(2), 112-122.

Holland, D., Lachicotte, W., Skinner, D., & Cain, C. (1998). Identity and agency in cultural worlds. Cambridge, MA: Harvard University Press.

Horn, I.S. (2008). Turnaround students in high school mathematics: constructing identities of competence through mathematical worlds. Mathematical Thinking and Learning, 10, 201–239.

Jackson, K., & Cobb, P. (2013). Refining a vision of ambitious mathematics instruction to address issues of equity. Unpublished manuscript.

Kazemi, E., Franke, M., & Lampert, M. (2009). Developing pedagogies in teacher education to support novice teachers’ ability to enact ambitious instruction. In R. Hunter, B. Bicknell, & T. Burgess (Eds.), Crossing divides: Proceedings of the 32nd annual conference of the Mathematics Education Research Group of Australasia (Vol. 1).

Kemmis, S., & Grootenboer, P. (2008). Situating praxis in practice: Practice architectures and the cultural, social, and material conditions for practice. In Kemmis, S., & Smith, T.J. (Eds.) Enabling Praxis: Challenges for Education. Rotterdam: Sense Publishers.

Kralovec, E. & Buell, J. (2000). The end of homework. Boston: Beacon Press.

Lampert, M., Beasley, H., Ghousseini, H., Kazemi, E., Franke, M. (2010) Using designed instructional activities to enable novices to manage ambitious mathematics teaching (pp. 129-141). In M.K. Stein & L. Kucan (Eds.) Instructional explanations in the discipline. New York: Springer.

Lampert, M., Boerst, T., & Graziani, F. (2011). Organizational resources in the Service of School-Wide Ambitious Teaching Practice. Teachers College Record, 113 (7), 1361-1400.

Landers, M. (2013). Towards a Theory of Mathematics Homework as a Social Practice. Educational Studies in Mathematics, 84(3), 371-391.

Lave, J., & Wenger, E. (1991) Situated learning: Legitimate peripheral participation. New York: Cambridge University Press.

Lerman, S. (2000). The social turn in mathematics education. In Boaler, J. (Ed.) Multiple Perspectives on Mathematics Teaching and Learning. Westport, CT: Greenwood Publishing Group.

Martin, D. B. (2000). Mathematics success and failure among African-American youth: The roles of sociohistorical context, community forces, school influence, and individual agency. Mahwah, NJ: Lawrence Erlbaum Associates.

Mehta, J., & Fine, S. (2012). Teaching differently… learning deeply. Phi Delta Kappan, 94(2), 31-35.

Mesa, V., Wladis, C. & Watkins, L. (2014). Research Problems in Community College Mathematics Education: Testing the Boundaries of K–12 Research. Journal for Research in Mathematics Education, 45(2), 173-192.

Miles, M. B., & Huberman, A.M. (1994). Qualitative data analysis: An expanded sourcebook. Second Edition. Thousand Oaks, CA, Sage Publications.

Mireles, S.V., Westbrook, T., Ward, D. D., Goodson, J., & Jung, J.H. (2013). Implementing pre-homework in the developmental mathematics classroom. Research & Teaching in Developmental Education, 29(2), 5 – 13.

National Council of Teachers of Mathematics (1980). An agenda for action. Reston, VA: NCTM.

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

Paschal, R. A., Weinstein, T., & Walberg, H. J. (1984). The effects of homework on learning: A quantitative synthesis. Journal of Educational Research, 78(2): 97-104.

Rogoff, B. (2003). The Cultural Nature of Human Development. New York: Oxford University Press.

Sasser, J.E. (1981). The effect of homework assignments on the mathematics achievement of college students in freshman algebra. Retrieved from ERIC database (ED 206495/SE035577).

Sfard, A. & Prusak, A. (2005). Telling Identities: In search of an analytic tool for investigating learning as a culturally shaped activity. Educational Researcher, 34(14), 14-22.

Soreide, G.E. (2006). Narrative construction of teacher identity: positioning and negotiation. Teachers and Teaching: theory and practice, 12(5), 527–547.

Stein, M. K., Smith, M. S., Henningsen, M. A., & Silver, E. A. (2000). Implementing standards-based mathematics instruction: A casebook for professional development. New York: Teachers College Press.

Varenne, H. & McDermott, R.P. (1999). The Farrells and the Kinneys at home: Literacies in action. In Varenne, H. & McDermott, R., Successful failure: The school America builds. Boulder, CO: Westview Press.

Weems, G. (1998). The impact of homework collection on performance in intermediate algebra. Research and Teaching in Developmental Education, 15(1), 21-26.

Wenger, E. (1998). Communities of practice: Learning, meaning, and identity. Cambridge: Cambridge University Press.

Xu, J., & Corno, L. (1998). Case studies of families doing third grade homework. Teachers College Record, 100, 402-436.

Yalcin, A. & Kaw, A. (2011). Does Grading Homework Improve Student Examination Performance? International Journal of Engineering Education, 27(6): 1333-1342.

Published

2014-09-01

How to Cite

LANDERS, M. Teachers’ homework strategies in the context of ambitious mathematics instruction: developing new practices. International Journal for Research in Mathematics Education, v. 4, n. 3, p. 63-86, 1 Sep. 2014.