Below are the first 10 and last 10 pages of uncorrected machine-read text (when available) of this chapter, followed by the top 30 algorithmically extracted key phrases from the chapter as a whole.

Intended to provide our own search engines and external engines with highly rich, chapter-representative searchable text on the opening pages of each chapter.
Because it is UNCORRECTED material, please consider the following text as a useful but insufficient proxy for the authoritative book pages.

Do not use for reproduction, copying, pasting, or reading; exclusively for search engines.

OCR for page 163

Knowing and Learning Mathematics for Teaching
APPENDICES

OCR for page 163

Knowing and Learning Mathematics for Teaching
This page in the original is blank.

OCR for page 163

Knowing and Learning Mathematics for Teaching
Appendix A: Pre-Workshop
Participants were given the following documents to read before they attended the Workshop.
Ball, D. L. (1991). Teaching mathematics for understanding: What do teachers need to know about subject matter? In M. Kennedy (Ed.), Teaching academic subjects to diverse learners (pp. 63-83). New York: Teachers College Press.
Ball, D. L. (1990). Prospective elementary and secondary teachers ' understanding of division. Journal for Research in Mathematics Education, 21 (2), 132-144.
Clemens, H. (1991). What do math teachers need to be? In M. Kennedy (Ed.), Teaching academic subjects to diverse learners (pp. 84-96). New York: Teachers College Press.
Darling-Hammond, L. (1997). Doing what matters most: Investing in quality teaching. Prepared for the National Commission on Teaching and America's Future, New York.
Lampert, M. (1989). Choosing and using mathematical tools in classroom discourse. In J. Brophy (Ed.), Advances in Research on Teaching, vol. 1 (pp.223-264). Greenwich, CT: JAI Press.
Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum. [Chapter 1 and Chapter 4.]
National Research Council. Mathematical Sciences Education Board. (1996). The preparation of teachers of mathematics: Considerations and challenges. Washington, DC: Author.
Schifter, D. (1998). Learning mathematics for teaching: From a teachers ' seminar to the classroom. Journal of Mathematics Teacher Education, 1(1), 55-87.
Simon, M. A., & Blume, G. W. (1994). Building and understanding multiplicative relationships: A study of prospective elementary teachers. Journal for Research in Mathematics Education, 25(5), 472-494.
Wu, H. (1999). Professional development of mathematics teachers. Notices of the American Mathematical Society, 46(5), 535-542.
Wu, H. (1999). Preservice professional development of mathematics teachers. Unpublished manuscript. Available at http://math.berkley.edu/∼wu/.