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American Association of Colleges for Teacher Education. ( 1993) . *Alternative paths to teaching: A directory of postbaccalaureate programs* *.* Washington, DC: Author.

American Association of Colleges for Teacher Education. ( 1994) . *Teacher education policy in the States: A 50-state survey of legislative & administrative actions* . Washington, DC: Author.

American Mathematics Association of Two-Year Colleges, American Mathematical Society, Mathematical Association of America, National Council of Teachers of Mathematics, Society for Industrial and Applied Mathematics. ( 1994) . *Mathematical preparation of elementary school teachers: Issues and recommendations* .Unpublished manuscript.

Ball, D. L. ( 1988) . *Knowledge and reasoning in mathematical pedagogy: Examining what prospective teachers bring to teacher education* .Unpublished doctoral dissertation, Michigan State University, East Lansing.

Ball, D. L. ( 1993) . With an eye on the mathematical horizon: Dilemmas of teaching elementary school mathematics. *Elementary School Journal,* *93* (4), 373-397.

Ball, D. L. (in press). Teaching learning and the mathematics reforms: What do we think we know and what do we need to learn? *Phi Delta Kappan* .

Ball, D. L., Lampert, M., & Rosenberg, M. L. ( 1991) . *Using hypermedia to investigate and construct knowledge about mathematics teaching and learning* . Paper presented at the Annual Meeting of the American Educational Research Association, Chicago.

Ball, D. L., & Wilson, S. M. ( 1990) . *Knowing the subject and learning to teach it: Examining assumptions about becoming a mathematics teacher* (Research Report 90-7). East Lansing: Michigan State University, National Center for Research on Teacher Learning.

Barnett, C., Goldenstein D., & Jackson, B. (Eds.) . ( 1994) . *Fractions, decimals, ratios, and percents: Hard to teach and hard to learn?* Portsmouth, NH: Heinemann.

Begle, E. G., & Geeslin, W. ( 1972) . Teacher effectiveness in mathematics instruction. *National Longitudinal Study of Mathematical Abilities Reports: No. 28* . Washington, DC: Mathematical Association of America.

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THE PREPARATION OF TEACHERS OF MATHEMATICS: CONSIDERATIONS AND CHALLENGES: A LETTER REPORT
REFERENCES
Abdal-Haqq, I. (Comp.). ( 1995) . Professional development schools: A directory of projects in the United States (2nd ed.). Washington, DC: American Association of Colleges for Teacher Education.
American Association of Colleges for Teacher Education. ( 1993) . Alternative paths to teaching: A directory of postbaccalaureate programs . Washington, DC: Author.
American Association of Colleges for Teacher Education. ( 1994) . Teacher education policy in the States: A 50-state survey of legislative & administrative actions . Washington, DC: Author.
American Mathematics Association of Two-Year Colleges, American Mathematical Society, Mathematical Association of America, National Council of Teachers of Mathematics, Society for Industrial and Applied Mathematics. ( 1994) . Mathematical preparation of elementary school teachers: Issues and recommendations .Unpublished manuscript.
Ball, D. L. ( 1988) . Knowledge and reasoning in mathematical pedagogy: Examining what prospective teachers bring to teacher education .Unpublished doctoral dissertation, Michigan State University, East Lansing.
Ball, D. L. ( 1993) . With an eye on the mathematical horizon: Dilemmas of teaching elementary school mathematics. Elementary School Journal, 93 (4), 373-397.
Ball, D. L. (in press). Teaching learning and the mathematics reforms: What do we think we know and what do we need to learn? Phi Delta Kappan .
Ball, D. L., Lampert, M., & Rosenberg, M. L. ( 1991) . Using hypermedia to investigate and construct knowledge about mathematics teaching and learning . Paper presented at the Annual Meeting of the American Educational Research Association, Chicago.
Ball, D. L., & Wilson, S. M. ( 1990) . Knowing the subject and learning to teach it: Examining assumptions about becoming a mathematics teacher (Research Report 90-7). East Lansing: Michigan State University, National Center for Research on Teacher Learning.
Barnett, C., Goldenstein D., & Jackson, B. (Eds.) . ( 1994) . Fractions, decimals, ratios, and percents: Hard to teach and hard to learn? Portsmouth, NH: Heinemann.
Begle, E. G., & Geeslin, W. ( 1972) . Teacher effectiveness in mathematics instruction. National Longitudinal Study of Mathematical Abilities Reports: No. 28 . Washington, DC: Mathematical Association of America.

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THE PREPARATION OF TEACHERS OF MATHEMATICS: CONSIDERATIONS AND CHALLENGES: A LETTER REPORT
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THE PREPARATION OF TEACHERS OF MATHEMATICS: CONSIDERATIONS AND CHALLENGES: A LETTER REPORT
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