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Unpublished manuscript.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Unpublished doctoral dissertation, Michigan State University, East Lansing.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 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 Boylan, M., & Yankwich, P. ( 1995, Fall) . National Science Foundation reviews the state of the nation's undergraduate education. DUE News , p. 6 . Brown, C. A. ( 1985) . A study of the socialization to teaching of a beginning secondary mathematics teacher . Unpublished doctoral dissertation, University of Georgia, Athens. Brown, C. A., & Borko, H. ( 1992). Becoming a mathematics teacher. In D. A. Grouws (Ed.) , Handbook of research on mathematics teaching and learning (pp. 209-239 ) . New York: Macmillan. Brown, J. S., Collins, A., & Duguid, P. ( 1989, January/February) . Situated cognition and the culture of learning. Educational Researcher , 32-36 . Brunkhorst, B. ( 1994) . So where did the Salish Consortium come from? In University of Iowa, Salish communique : A publication of the Salish I Research Project (Vol. I, I, pp. 3, 6 ) . Iowa City: Author. Buchmann, M., & Schwille, J. ( 1983) . Education: The overcoming of experience. The American Journal of Education, 92 , 30-51 . Carpenter, T. ( 1995) . Second reaction: Linking content and practice. In J. Sowder (Ed.) , Preparing middle school teachers multiplicatively: Recommendations and reactions .Unpublished manuscript, National Center for Research in Mathematical Sciences Education Working Group on Quantity and Rational Number. Chaney, B. ( 1995) . Student outcomes and the professional preparation of eighth-grade teachers in science and mathematics: NSF/NELS: 88 teacher transcript analysis . Rockville, MD: Westat. Cooney, T., Brown, S., Dossey, J., Schrage, G., & Whittman, E. (in press) . Mathematics, pedagogy, and secondary education: Reweaving the frayed braid . Portsmouth, NH: Heinemann. Copes, L. ( 1996) . Teaching what mathematicians do. In F. B. Murray (Ed.) , The teacher educator's handbook: Building a knowledge base for the preparation of teachers (pp. 261-276 ) . San Francisco: Jossey-Bass. Cuoco, A., Goldenberg P., & Mark J. (in press) . Habits of mind. Journal of Mathematical Behavior . Dewey, J. ( 1910/1991) . Empirical and scientific thinking. In How we think . Buffalo, NY: Prometheus Books. Ernest, P. ( 1994) . Mathematics, education, and philosophy: An international perspective . London: Falmer Press.

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THE PREPARATION OF TEACHERS OF MATHEMATICS: CONSIDERATIONS AND CHALLENGES: A LETTER REPORT Even, R., & Lappan, G. ( 1994). Constructing meaningful understanding of mathematics content. In D. B. Aichele & A. F. Coxford (Eds.) , NCTM Yearbook on Professional Development for Teachers of Mathematics 1994 (pp. 128-143 ) . Reston, VA: National Council of Teachers of Mathematics. Feiman-Nemser, S. ( 1983). Learning to teach. In L. Shulman & G. Sykes (Eds.) , Handbook of teaching and policy (pp. 150-170 ) . New York: Longman. Floden, R., Buchmann, M., & Schwille, J. ( 1987). Breaking with everyday experience. Teachers College Record ,88 (4), 485-506 . Goodlad, J. I. ( 1991). Why we need a complete redesign of teacher education. Educational Leadership ,49 (3), 4-10 . Goroff, D. L. (in press). College teaching and the education of teachers. In Project 2061's Higher Education Blueprint . Washington, DC: American Association for the Advancement of Science. Graeber, A. O., & Johnson, M. ( 1991). INSIGHTS into secondary school students' understanding of mathematics .Unpublished manuscript, University of Maryland at College Park. Grouws, D. A. (Ed.) . ( 1992). Handbook of research on mathematics teaching and learning . New York: Macmillan. Grouws, D. A., & Schultz, K. A. ( 1996). Mathematics teacher education. In J. Sikula, T. J. Buttery, & E. Guyton (Eds.) , Handbook of research on teacher education . New York: Simon & Schuster Macmillan. Howey, K. R., & Zimpher, N. L. ( 1989). Profiles of preservice teacher education: Inquiry into the nature of programs . Albany: State University of New York Press. Interstate New Teacher Assessment and Support Consortium. ( 1992). Model standards for beginning teacher licensing and development: A resource for state dialogue . Washington: Author. Keltner, D. P. ( 1994). Troops to teachers: Alternative certification and the military. Educational Forum ,58 (2), 182-186 . Kopp, W. ( 1994) . Teach for America: Moving beyond the debate. Educational Forum ,58 (2) ,187-192 .

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THE PREPARATION OF TEACHERS OF MATHEMATICS: CONSIDERATIONS AND CHALLENGES: A LETTER REPORT Lampert, M. ( 1985). How do teachers manage to teach? Perspectives on problems in practice . Harvard Educational Review ,55 ,178-194. Lampert, M. ( 1987). Mathematics teaching in schools: Imagining an ideal that is possible . The teacher of mathematics: Issues for today and tomorrow (pp. 37-42 ). Washington, DC: National Academy Press. Lampert, M. ( 1988). What can research on teacher education tell us about improving quality in mathematics education? Teaching and Teacher Education ,4 (2), 157-170. Leitzel, J. R. (Ed.) . ( 1991). A call for change: Recommendations for the mathematical preparation of teachers of mathematics . Washington, DC: Mathematical Association of America. Little, J. W. ( 1993). Teachers' professional development in a climate of education reform. Educational Evaluation and Policy Analysis ,15 (2), 129-151 . Lortie, D. ( 1975). Schoolteacher . Chicago, IL: The University of Chicago Press. Loucks-Horsley, S., Harding, C. K., Arbuckle, M. A., Murray, L. B., Dubea, C., & Williams, M. K. ( 1987). Continuing to learn: A guidebook for teacher development . Andover, MA: The Regional Laboratory for Educational Improvement of the Northeast . Mathematical Association of America. ( 1983). Recommendations on the mathematical preparation of teachers . Washington, DC: Author. McDiarmid, G. W., Ball, D. L., & Anderson, C. W. ( 1989). Why staying ahead one chapter doesn't really work: Subject-specific pedagogy. In M. C. Reynolds (Ed.) , Knowledge base for the beginning teacher (pp. 193-205 ). New York: Pergamon. Merseth, K. K. ( 1991). The case for cases in teacher education . Washington, DC: American Association for Higher Education. Merseth, K. K. (in preparation.). The mathematics case development project .NSF-supported teacher preparation project. National Board for Professional Teaching Standards. ( 1994). Adolescence and young adulthood/mathematics: Standards for national board certification . Washington, DC: Author. National Center for Education Statistics. ( 1993). America's teachers: Profile of a profession .(NCES 93-025). Washington, DC: Author. National Center for Education Statistics. ( 1995). Teacher supply, teacher qualifications, and teacher turnover: 1990-91 (NCES 95-744). Washington, DC: Author.

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THE PREPARATION OF TEACHERS OF MATHEMATICS: CONSIDERATIONS AND CHALLENGES: A LETTER REPORT National Council of Teachers of Mathematics. ( 1989). Curriculum and evaluation standards for school mathematics . Reston, VA: Author. National Council of Teachers of Mathematics. ( 1991). Professional standards for teaching mathematics . Reston, VA: Author. National Research Council. ( 1987). The teacher of mathematics: Issues for today and tomorrow .Proceedings of a conference . Washington, DC: National Academy Press. National Research Council. ( 1989). Everybody counts: A report to the nation on the future of mathematics education . Washington, DC: National Academy Press. National Research Council. ( 1991). Moving beyond myths: Revitalizing undergraduate mathematics . Washington, DC: National Academy Press. National Research Council. ( 1995). Expectations for mathematics education from high school through career [Brochure]. Washington, DC: National Academy Press. Nelson, B. H., Weiss, I. R., & Conaway, L. E. ( 1992). Science and mathematics education briefing book: Volume III . Washington, DC: National Science Teachers Association. Oja, S. N., & Ham, M. C. ( 1984). A cognitive-developmental approach to collaborative action research with teachers. Teachers College Record ,86 (1), 171-92 . Peterson I. ( 1988). The mathematical tourist: Snapshots of modern mathematics . New York: W.H. Freeman. Raizen, S. A., & Michelsohn, A. M. (Eds.) ( 1994). The future of science in elementary schools . San Francisco: Jossey-Bass. Russell, S. J. ( 1994). The role of the teacher in curriculum development (OR, Won't well-prepared teachers make up their own?) (OR, Curriculum: The right way, a necessary evil, a handy reference, or partner?) .Paper prepared for the Conference on Teacher Enhancement K-6, National Science Foundation, Arlington, VA. Schifter, D. (Ed.) . ( 1996). What's happening in math class? Envisioning new practices through teacher narratives . New York: Teachers College Press. Schifter, D. (in press). A constructivist perspective on teaching and learning mathematics . Constructivism: Foundations, perspectives, and practice . New York: Teachers College Press.

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THE PREPARATION OF TEACHERS OF MATHEMATICS: CONSIDERATIONS AND CHALLENGES: A LETTER REPORT Schifter, D., & Bastable, V. ( 1995, April). From the teachers' seminar to the classroom: The relationship between doing and teaching mathematics, an example from fractions .Paper presented at the American Educational Research Association, San Francisco. Schifter, D., Russell, S. J., & Bastable, V. (in press). Teaching to the big ideas. In M. Soloman (Ed.) , Reinventing the classroom . New York: Teachers College Press. Secada, W. G., Fennema, E., & Adajian, L. B. (Eds.) . ( 1995). New directions for equity in mathematics education . New York: Cambridge University Press. Shulman, L. S. ( 1986). Those who understand: Knowledge growth in teaching. Educational Researcher ,15 (2), 4-14 . Smith, M. A., & Ylvisaker, M. ( 1993). Teachers' voices: Portfolios in the classroom . Berkeley, CA: National Writing Project. Stake, R. ( 1993). Portland State University: Middle school mathematics teacher preparation . In R. Stake, T. Denny, G. Hoke, J. Easley, D. Jenness, M. Miron, B. Metcalf (Eds.) , Teacher preparation archives: Case studies of NSF-funded middle school science and mathematics teacher preparation projects (pp. 189-204 ). Urbana, IL: Center for Instructional Research and Curriculum Evaluation. Stake, R., Denny, T., Hoke, G., Easley, J., Jenness, D., Miron, M., & Metcalf, B. (Eds.) . ( 1993) . Teacher preparation archives. Case studies of NSF-funded middle school science and mathematics teacher preparation projects . Urbana, IL: Center for Instructional Research and Curriculum Evaluation. Steen, L. A. (Ed.). ( 1990). On the shoulders of giants: New approaches to numeracy . Washington, DC: National Academy Press. Stevenson, H.W., & Stigler, J. W. ( 1992). The Learning Gap . New York: Simon & Schuster. Sullivan, S. ( 1993). Illinois State University: Middle school mathematics. In R. Stake, T. Denny, G. Hoke, J. Easley, D. Jenness, M. Miron, B. Metcalf (Eds.), Teacher preparation archives: Case studies of NSF-funded middle school science and mathematics teacher preparation projects (pp. 155-168 ). Urbana, IL: Center for Instructional Research and Curriculum Evaluation. Thompson, P. W., & Thompson, A. G. ( 1994). Talking about rates conceptually, Part I: A teacher's struggle. Journal for Research in Mathematics Education , 25 (3), 279-303 . U.S. National Research Center. ( 1995, November). U.S. National Research Center: Report No. 5 . Lansing: Michigan State University, TIMMS.