Abstract
The failure of educational research to impact teaching and learning has been lamented almost from the beginnings of educational research itself In this chapter, I explore some of the reasons for this failure and attempt to suggest how educational research might impact the teaching and learning of mathematics more effectively in the future. I begin by arguing that classroom practices in mathematics education are, in fact, relatively stable and have changed little over recent decades. To try to understand why that is, I trace briefly the history of educational research and suggest that the major reason for the failure of research to impact practice is the emphasis on analytic rationality as the method to generate knowledge in education. By focusing on the nature of expertise in teaching, I argue that a focus on Aristotle’s intellectual virtue of ‘practical wisdom’ would be more appropriate and suggest some ways in this change of focus could lead to a more productive relationship between research and practice.
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References
Aristotle. (1976). The Nicomachean ethics. London, UK: Penguin.
Balacheff, N., & Kaput, J. J. (1997). Computer-based learning environments in mathematics. In A. J. Bishop, K. Clements, C. Keitel, J. Kilpatrick & C. Laborde (Eds.), International handbook of mathematics education (pp. 469–501). Dordrecht, Netherlands: Kluwer Academic Publishers.
Beaton, A. E., Mullis, I. V. S., Martin, M. O., Gonzalez, E. J., Kelly, D. L, & Smith, T. A. (1996). Mathematics achievement in the middle school years: IEA’s third international mathematics and science study. Chestnut Hill, MA: Boston College.
Begle, E. G., & Gibb, E. G. (1980). Why do research? In R. J. Shumway (Ed.), Research in mathematics education (pp. 3–19). Washington, DC: National Council of Teachers of Mathematics.
Bellah, R. N., Madsen, R., Sullivan, W. M., Swidler, A., & Tipton, S. M. (1985). Habits of the heart: Individualism and commitment in American life. New York: Harper & Row.
Berliner, D. C., Stein, P., Saberrs, D., Brown Claridge, P., Cushing, K., & Pinnegar, S. (1989). Implications of research on pedagogical expertise and experience for mathematics teaching. In D. A. Grouws, T. J. Cooney & D. Jones (Eds.), Perspectives on research on effective mathematics teaching (pp. 67–95). Reston, VA: National Council of Teachers of Mathematics.
Bishop, A. J., Clements, K., Keitel, C., Kilpatrick, J., & Laborde, C. (Eds.) (1997). International handbook of mathematics education. Dordrecht, Netherlands: Kluwer Academic Publishers.
Black, P., Harrison, C., Lee, C., Marshall, B., & Wiliam, D. (2002). Working inside the black box: Assessment for learning in the classroom. London: King’s College London, Department of Education and Professional Studies.
Black, P. J., & Wiliam, D. (1998). Inside the black box: Raising standards through classroom assessment. London: King’s College London School of Education.
Booth, L. R. (1984). Algebra: Children’s strategies and errors. Windsor, UK: NFER-Nelson.
Campbell, D. T. (1986). Science’s social system of validity-enhancing collective belief change and the problems of the social sciences. In D. W. Fiske & R. A. Shweder (Eds.), Metatheory in social science: Pluralisms and subjectivities (pp. 108–148). Chicago: University of Chicago Press.
Carpenter, T. P., Fennema, E., & Franke, M. L. (1996). Cognitively guided instruction: A knowledge base for reform in primary mathematics instruction. Elementary School Journal, 97, 3–20.
Carpenter, T. P., Fennema, E., Peterson, P. L., & Carey, D. (1988). Teachers’ pedagogical content knowledge of students’ problem solving in elementary arithmetic. Journal for Research in Mathematics Education, 19(5), 385–401.
Carpenter, T. P., Fennema, E., Peterson, P. L., Chiang, C. P., & Loef, M. (1989). Using knowledge of children’s mathematics thinking in classroom teaching: An experimental study. American Educational Research Journal, 26(4), 499–531.
Charles, R. I., & Silver, E. A. (Eds.) (1989). The teaching and assessing of mathematical problem solving. Reston, VA: National Council of Teachers of Mathematics.
Clements, D. H. (2002). Linking research and curriculum development. In L. D. English (Ed.), Handbook of international research in mathematics education (pp. 599–630). Mahwah, NJ: Erlbaum.
Clifford, G. J. (1973). A history of the impact of research on teaching. In R. M. W. Travers (Ed.), Second handbook of research on teaching (pp. 1–46). Chicago: Rand McNally.
Cuban, L. (2002). Oversold and underused: Computers in the classroom. Cambridge, MA: Harvard University Press.
Department of Education and Science & Welsh Office. (1989). Mathematics in the National Curriculum. London: Her Majesty’s Stationery Office.
Dreyfus, H., & Dreyfus, S. (1986). Mind over machine: The power of human intuition and expertise in the era of the computer. New York: Free Press.
English, L. D. (Ed.). (2002). Handbook of international research in mathematics education. Mahwah, NJ: Erlbaum.
English, L. D., Jones, G., Lesh, R., Tirosh, D., & Bussi, M. B. (2002). Future issues and directions in international mathematics education research. In L. D. English (Ed.), Handbook of international research in mathematics education (pp. 787–812). Mahwah, NJ: Erlbaum.
Feingold, A. (1988). Cognitive gender differences are disappearing. American Psychologist, 43, 95–103.
Flyvbjerg, B. (2001). Making social science matter: Why social inquiry fails and how it can succeed again. Cambridge: Cambridge University Press.
Friedman, L. (1989). Mathematics and the gender gap: A meta-analysis of recent studies on sex differences in mathematical tasks. Review of Educational Research, 59(2), 185–213.
Grouws, D. A. (Ed.). (1992). Handbook of research on mathematics teaching and learning. New York: Macmillan.
Grouws, D. A., Cooney, T. J., & Jones, D. (Eds.) (1988). Perspectives on research on effective mathematics teaching. Reston, VA: National Council of Teachers of Mathematics.
Hart, K. M. (Ed.) (1981). Children’s understanding of mathematics: 11–16. London: John Murray.
Hart, K. M. (1984). Ratio: Children’s strategies and errors. Windsor, UK: NFER-Nelson.
Hiebert, J., & Behr, M. (Eds.). (1988). Number concepts and operations in the middle grades. Reston, VA: National Council of Teachers of Mathematics.
Hillage, J., Pearson, R., Anderson, A., & Tamkin, P. (1998). Excellence in research on schools. London: Department for Education and Employment.
Hyde, J. S., Fennema, E., & Lamon, S. J. (1990). Gender differences in mathematics performance: A meta-analysis. Psychological Bulletin, 107, 139–155.
Johnson, W. R. (1987). Empowering teachers: Holmes, Carnegie and the lessons of history. History of Education Quarterly, 27, 221–240.
Kerslake, D. (1986). Fractions: Children’s strategies and errors. Windsor, UK: NFER-Nelson.
Kilpatrick, J. (1992). A history of research in mathematics education. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 3–38). New York: Macmillan.
Klein, H. A., & Klein, G. A. (1981). Perceptive/cognitive analysis of proficient cardio-pulmonary resuscitation (CPR) performance. Paper presented at the annual meeting of the Midwestern Psychological Association, Chicago.
Kluger, A. N., & DeNisi, A. (1996). The effects of feedback interventions on performance: A historical review, a meta-analysis, and a preliminary feedback intervention theory. Psychological Bulletin, 119(2), 254–284.
Lagemann, E. C. (2000). An elusive science: The troubling history of education research. Chicago: University of Chicago Press.
Lester Jr., F. K., & Wiliam, D. (2002). On the purpose of mathematics education research: Making productive contributions to policy and practice. In L. D. English (Ed.), Handbook of international research in mathematics education (pp. 489–506). Mahwah, NJ: Erlbaum.
Linn, M. C. (1992). Gender differences in educational achievement. In Educational Testing Service (Ed.), Sex equity in educational opportunity, achievement, and testing: Proceedings of a 1991 ETS Invitational Conference (pp. 11–50). Princeton, NJ: Educational Testing Service.
Mayer, R. E. (1977). Thinking and problem-solving. Glenview, IL: Scott-Foresman.
Miller, J. (1993). The passion of Michel Foucault. New York: Simon & Schuster.
Moon, B. (1986). The ‘new maths’ curriculum controversy: An international story. London: Falmer.
Moreno-Armella, L., & Block, D. (2002). Democratic access to powerful mathematics in a developing country. In L. D. English (Ed.), Handbook of international research in mathematics education (pp. 301–321). Mahwah, NJ: Erlbaum.
Morrison, J. C. (1945). The role of research in educational reconstruction. In N. B. Henry (Ed.), American education in the postwar period: Part 2. Structural reorganization (Forty-fourth Yearbook of the National Society for the Study of Education, pp. 238–265). Chicago: University of Chicago Press.
Mullis, I. V. S., Martin, M. O., Beaton, A. E., Gonzalez, E. J., Kelly, D. L., & Smith, T. A. (1996). Mathematics achievement in the primary school years: IEA’s third international mathematics and science study. Chestnut Hill, MA: Boston College.
Nietzsche, F. (1969). On the genealogy of morals. New York: Vintage Books.
Organisation for European Economic Co-operation, Office for Scientific and Technical Personnel (Ed.). (1961). New thinking in school mathematics. Paris: Organisation for European Economic Co-operation.
Ravitch, D., & Vinovskis, M. (Eds.). (1995). Learning from the past: What history teaches us about school reform. Baltimore, MD: Johns Hopkins University Press.
Reese, W. J. (1999). What history teaches about the impact of educational research on practice. In A. Iran-Nejad & P. D. Pearson (Eds.), Review of research in education (pp. 1–19). Washington, DC: American Educational Research Association.
Reeves, J., McCall, J., & MacGilchrist, B. (2001). Change leadership: Planning, conceptualization and perception. In J. MacBeath & P. Mortimore (Eds.), Improving school effectiveness (pp. 122–137). Buckingham, UK: Open University Press.
Rorty, R. (1979). Philosophy and the mirror of nature. Princeton, NJ: Princeton University Press.
Ruthven, K. (1997). Calculators in the mathematics curriculum: The scope of personal computational technology. In A. J. Bishop, K. Clements, C. Keitel, J. Kilpatrick & C. Laborde (Eds.), International handbook of mathematics education (pp. 435–468). Dordrecht, Netherlands: Kluwer Academic Publishers.
Shavelson, R. J., & Towne, L. (Eds.). (2002). Scientific research in education. Washington, DC: National Academy Press.
Silver, E. A., & Stein, M. K. (1996). The QUASAR project: The ‘revolution of the possible’ in mathematics instructional reform in urban middle schools. Urban Education, 30, 476–521.
Sowder, J. T. (Ed.) (1989). Setting a research agenda. Reston, VA: National Council of Teachers of Mathematics.
Stokes, D. E. (1997). Pasteur’s quadrant: Basic science and technological innovation. Washington, DC: Brookings Institution Press.
Tate, W., & Rousseau, C. (2002). Access and opportunity: The political and social context of mathematics education. In L. D. English (Ed.), Handbook of international research in mathematics education (pp. 271–299). Mahwah, NJ: Erlbaum.
Toulmin, S. (2001). Return to reason. Cambridge, MA: Harvard University Press.
Travers, R. M. W. (1983). How research has changed American schools: A history from 1840 to the present. Kalamazoo, MI: Mythos Press.
Tyack, D. B., & Cuban, L. (1995). Tinkering toward Utopia: A century of public school reform. Cambridge, MA: Harvard University Press.
Wagner, S., & Kieren, C. (Eds.). (1989). Research issues in the learning and teaching of algebra. Reston, VA: National Council of Teachers of Mathematics.
Watson, D. M. (Ed.). (1993). The Impac-Treport: An evaluation of the impact of information technology on children’s achievements in primary and secondary schools. London: King’s College London, School of Education.
Weiss, C. H., & Vickers, M. (1992). Research impact on educational policy. In M. C. Alkin (Ed.), Encyclopaedia of educational research (Vol. 3, pp. 1093–1099). New York: Macmillan.
Wilson, S. M., & Berne, J. (1999). Teacher learning and the acquisition of professional knowledge: An examination of research on contemporary professional development. In A. Iran-Nejad & P. D. Pearson (Eds.), Review of research in education (pp. 173–209). Washington, DC: American Educational Research Association.
Ziman, J. (1978). Reliable knowledge: An exploration of the grounds for belief in science. Cambridge: Cambridge University Press.
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Wiliam, D. (2003). The Impact of Educational Research on Mathematics Education. In: Bishop, A.J., Clements, M.A., Keitel, C., Kilpatrick, J., Leung, F.K.S. (eds) Second International Handbook of Mathematics Education. Springer International Handbooks of Education, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0273-8_16
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