Contents | Committee | Preface | Ch 1 | Ch 2 | Intro to Ch 3-9 | Ch 3 | Ch 4 | Ch 5 | Ch 6 | Refs for Part 1 | Other Reports | Ch 7 | Ch 8 | Ch 9

References for Part 1

Ball, D. L. (1991). Research on teaching mathematics: Making subject matter knowledge part of the equation. In J. Brophy (Ed.), Advances in research on teaching Vol. 2, pp.1-48). Greenwich, CT: JAI Press.

Bastable, V. (1996). A dialogue about teaching. In D. Schifter (Ed.), What's happening in math class? Vol. 1, pp. 45-65). New York: Teachers College Press.

Driscoll, M. (1999). Fostering algebraic thinking. Portsmouth, NH: Heinemann.

Ewing, J. (Ed.). (1999). Towards excellence: Leading a mathematics department in the 21st century. Providence, RI: American Mathematical Society. Available at

Gerdes, P. (1999). Geometry from Africa: Mathematical and educational explorations. Washington, DC: Mathematical Association of America.

Kenney, P. A., & Silver, E. A. (1997). Results from the Sixth Mathematics Assessment. Reston, VA: National Council of Teachers of Mathematics.

Leitzel, J. R.C. (Ed.). (1991). A call for change: Recommendations for the mathematical preparation of teachers of mathematics. Washington, DC: Mathematical Association of America.

Lamon, S. J. (1993). Ratio and proportion: Connecting content and children's thinking. Journal for Research in Mathematics Education, 24, 41-61.

Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum Associates.

McKnight, C., Crosswhite, F., Dossey, J., Kifer, E., Swafford, J., Travers, K., & Cooney, T. (1987). The under-achieving curriculum: Assessing U. S. schools from an international perspective. Champaign, IL: Stipes.

National Council of Teachers of Mathematics. (1989).  Curriculum and evaluation standards. Reston, VA: Author.

National Council of Teachers of Mathematics. (2000). Principles and standards of school mathematics. Reston, VA: Author. Available at

National Science Foundation. (1999). Investing in tomorrow's teachers: The integral role of two-year colleges in the science and mathematics preparation of prospective teachers. Washington, DC: Author. Available at

Noble, T., Nemirovsky, R., Wright, T., & Tierney, C. (2001). The mathematics of change in multipleenvironments. Journal for Research in Mathematics Education 32(1), 85-108.

Schifter, D., Bastable, V., Russell, S. J. (with Cohen, S., Lester, J. B., & Yaffee, L.) (1999). Building a system of tens: Casebook. Parsippany, NJ: Dale Seymour Publications.

Sobel, D. (1995). Longitude. New York, NY: Walker and Company.

Sowder, J., Armstrong, B., Lamon, S., Simon, M., Sowder, L, & Thompson, A. (1998). Educating teachers to teach multiplicative structures in the middle grades. Journal of Mathematics Teacher Education, 2, 127-155.

Stevenson, H., & Stigler, J. (1992). The learning gap. New York: Simon & Schuster.

Stigler, J., & Hiebert, J. (1999). The teaching gap. New York: Free Press.

Washburn, D. K., & Crowe, D. W. (1988). Symmetries of culture: Theory and practice of plane pattern analysis. Seattle: University of Washington Press.