AN URBAN MIDDLE SCHOOL CASE STUDY OF MATHEMATICS ACHIEVEMENT
What does it take to change a school’s mathematics achievement profile from low to one that is proficient and advanced? Is this transformed achievement profile sustainable? Such is the story presented here, in this three-phase case study of a K-8 urban charter school’s mathematics program. The first phase discusses the school’s mathematics program as it existed in 2006. The second phase discusses the contents and interventions implemented which transformed the student achievement scores over a period of 3 years (2006–2009) from low achieving to proficient and advanced. The third phase is a follow-up mixed-methods investigation that was conducted to determine whether the achievement was sustainable and how the program changed. The interventions designed and implemented over the initial 3-year period are discussed, as are the findings of the follow-up study. This is discussed with reference to impacting change in student achievement and its relative significance for future work.
Key wordsmathematics achievement mathematics achievement gap middle school urban school
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- Auguste, Hancock & Miller (2009). The economic impact of the achievement gap in America’s schools. Boston, MA: McKinsey & Company.Google Scholar
- Bailey, M. J. & Dynarski, S. M. (2011). Inequality in postsecondary education. In G. J. Duncan & R. J. Murnane (Eds.), Whither opportunity?: Rising inequality, schools, and children’s life chances. New York, NY: Russell Sage.Google Scholar
- Ball, D. L., Ferrini-Mundy, J., Kilpatrick, J., Milgram, R. J., Schmid, W. & Schaar, R. (2005). Reaching for common ground in K-12 mathematics education. Notices of the AMS, 52(9), 1055–1058.Google Scholar
- Banathy, B. H. (1992). A systems view of education: Concepts and principles for effective practice. Englewood Cliffs, NJ: Educational Technology.Google Scholar
- Barber, M. & Mourshed, M. (2007). How the world’s best-performing school systems come out on top. Boston, MA: McKinsey & Company.Google Scholar
- Collins, M. A. & Amabile, T. M. (2009). Motivation and creativity. In R. J. Sternberg (Ed.), Handbook of creativity (pp. 297–312). Cambridge, UK: Cambridge University Press.Google Scholar
- Common Core State Standards Initiative (CCSSI) (2010). http://www.corestandards.org/in-the-states. Accessed 5 Dec 2010.
- Creswell, J. W. (2008). Educational research: Planning, conducting, and evaluating quantitative and qualitative research. Upper Saddle River, NJ: Pearson.Google Scholar
- Data Recognition Corporation (2010). https://http://www.drc-web.com/reportdelivery/. Accessed 15 Dec 2010.
- Dillon, S. (2010, December 7). Top test scores from shanghai stun educators, The New York Times. http://www.nytimes.com/2010/12/07/education/07education.html?emc=eta1. Accessed 8 Dec 2010.
- Every Child a Chance Trust (2009). The long-term costs of numeracy difficulties. http://www.everychildachancetrust.org/every-child-counts/case-studies. Accessed 17 Sep 2011
- Friedman, T.L. (2010, November 21). Teaching for America, The New York Times, p. WK 8. http://www.nytimes.com/2010/11/21/opinion/21friedman.html.
- Hanushek, E. A. (2010). The high cost of low educational performance: The long-run economic impact of improving PISA outcomes. Paris: Organisation for Economic Co-Operation and Development (OECD).Google Scholar
- Heifetz, R. A. & Linsky, M. (2002). Leadership on the Line. Boston, MA: Harvard Business School Press.Google Scholar
- Izumi, L. T. (2002). They have overcome: High-poverty, high-performing schools in California. San Francisco, CA: Pacific Research Institute.Google Scholar
- Kitchen, R. S., DePree, J., Celedon-Pattichis, S. & Brinkerhoff, J. (2007). Mathematics education at highly effective schools that serve the poor. Mahwah, NJ: Lawrence Erlbaum Associates.Google Scholar
- Klein, D. (2003). A brief history of American K-12 mathematics education in the 20th century. In J. M. Royer (Ed.), Mathematical cognition. Greenwich, UK: Information Age.Google Scholar
- Loveless, T. & Coughlan, J. (2004). The arithmetic gap. Educational Leadership, 61(5), 55–59.Google Scholar
- Mourshed, M., Chijioke, C. & Barber, M. (2010). How the world’s most improved school systems keep getting better. Boston, MA: McKinsey & Company.Google Scholar
- National Council of Teachers of Mathematics (NCTM) (2000). Principles and standards for school mathematics. Reston, VA: NCTM.Google Scholar
- National Council of Teachers of Mathematics (NCTM) (2006). Curriculum focal points: For pre-kindergarten through grade 8 mathematics. Reston, VA: NCTM.Google Scholar
- OEDC Programme for International Student Assessment (PISA) (2009). PISA 2009 results. http://www.oecd.org/document/61/0,3746,en_32252351_32235731_46567613_1_1_1_1,00.html. Accessed 11 Mar 2012.
- Pennsylvania Department of Education (PDE) (2010). Assessment anchors and eligible content. http://www.portal.state.pa.us/portal/server.pt/community/assessment_anchors/7440. , Accessed 23 May 2010.
- Phillipp, R. A. & Schappelle, B. P. (1999). Algebra as generalized arithmetic: Starting with the known for a change. The Mathematics Teacher, 92(4), 310–316.Google Scholar
- Senge, P. M. (1990). The leader’s new work: Building learning organizations. Sloan Management Review, 32(1), 7–23.Google Scholar
- Stein, M. K., Remillard, J. & Smith, M. S. (2007). How curriculum influences student learning. In J. Frank & K. Lester (Eds.), Second handbook of research on mathematics teaching and learning. Charlotte, NC: Information Age.Google Scholar
- Suydam, M. N. (1979). The use of calculators in pre-college education: A state-of-the-art review. Washington, DC: National Institute of Education.Google Scholar
- Top PSSA Performers (2008, August 16). Philadelphia Inquirer.Google Scholar
- U.S. Department of Education (2008). Foundations for success: The final report of the national mathematics advisory panel. Washington, DC: U.S. Department of Education.Google Scholar
- Woodward, J. (2004). Mathematics education in the U.S.: Past to present. Journal of Learning Difficulties, 37(1), 16–31.Google Scholar
- Wu, H. (2001). How to prepare students for algebra. American Educator, 25(Summer), 1–7.Google Scholar
- Yin, R. K. (2009). Case study research: Design and methods. Los Angeles: Sage Publications, Inc.Google Scholar