Abstract
Beyond issues of the research we need are issues arising from the research we already have. Research in mathematics education lacks critical friends, but that phrase implies someone who is on the outside. We in the community especially need insiders who can help us see our work whole. These insiders should have a synoptic view. Isaiah Berlin once drew an important distinction between the hedgehog (who knows one big thing) and the fox (who knows many things). Drawing primarily on my own experience in the field, I argue that more of us in mathematics education ought to become critical foxes.
This chapter is based on an invited colloquium presentation sponsored by the Department of Mathematics Education at Brigham Young University on March 12, 2009. I am grateful to Sarah Van Wagenen for her careful transcription of an audio recording of the presentation.
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References
Begle, E. G. (1969). The role of research in the improvement of mathematics education. Educational Studies in Mathematics, 2, 232–244.
Begle, E. G. (1979). Critical variables in mathematics education: Findings from a survey of the empirical literature. Washington, DC: Mathematical Association of America and National Council of Teachers of Mathematics.
Berlin, I. (1953). The hedgehog and the fox: An essay on Tolstoy’s view of history. New York, NY: Simon & Schuster.
Kaminski, J. A., Sloutsky, V. M., & Heckler, A. F. (2008). The advantage of abstract examples in learning math. Science, 320, 454–455.
Kilpatrick, J. (1987). Editorial. Journal for Research in Mathematics Education, 18, 330.
Kilpatrick, J. (1988). Editorial. Journal for Research in Mathematics Education, 19, 370.
Kilpatrick, J. (2007). A commentary on research commentaries. Journal for Research in Mathematics Education, 38, 106–107.
National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington, DC: U.S. Department of Education.
Pólya, G. (1981). Mathematical discovery: On understanding, learning, and teaching problem solving (Combined ed.th ed.). New York, NY: Wiley. Original work published 1962, 1965.
Pólya, G., & Kilpatrick, J. (2009). The Stanford mathematics problem book: With hints and solutions. New York, NY: Dover. Original work published 1974.
Tetlock, P. E. (2005). Expert political judgment: How good is it? How can we know? Princeton, NJ: Princeton University Press.
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Kilpatrick, J. (2013). Needed: Critical Foxes. In: Leatham, K. (eds) Vital Directions for Mathematics Education Research. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6977-3_8
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