Bibliography
Baldridge, Scott and Thomas Parker. Elementary Mathematics for Teachers. Septon Ash Publishers
Carpenter, Thomas P. et al. Children's Mathematics: Cognitively Guided Instruction. Portsmouth, N.H.: Hinemann, 1999.
This book portrays the development of children's understanding of basic number concepts. The authors offer a detailed explanation and numerous examples of the problem-solving and computational processes that virtually all children use as their numerical thinking develops. They also describe how classrooms can be organized to foster that development.
Garelick, Barry. "An A-Maze-ing Approach to Math Education Next Spring 2005 Vol 4 No 2 http://www.hoover.org/publications/ednext/3220616.html
The author, while tutoring students in math, discovers some basic issues in the current mathematics curricula, from his perspective.
Garelick ,Barry. "Miracle Math" Education Next Fall 2006, Vol 6, No. 4, http://www.hoover.org/publications/ednext/3853357.html
The author discusses the Singapore Math approach as used in a suburban area of the United States, Montgomery County, Maryland.
Hill, Heather C., Deborah Loewenberg Ball and Stephan G. Schilling. "Unpacking Pedagogical Content Knowledge: Conceptualizing and Measuring Teachers' Topic-Specific Knowledge of Students," Journal for Research in Mathematics Education, Vol. 39, No.4, July 2008.
This article describes an effort to conceptualize and develop measures of teachers' combined knowledge of content and students.
Howe, Roger, Taking Place Value Seriously: Arithmetic, Estimation and Algebra. http://www.maa.org/pmet/resources/PlaceValue_RV1.pdf
Ma, Liping. Knowing and Teaching Elementary Mathematics: Teachers' Understanding of Fundamental Mathematics in China and the United States. Mahwah, New Jersey: Lawrence Erlbaum Publishers,1999.
This book describes the nature and development of the "profound understanding of fundamental mathematics" that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.
Singapore Primary Mathematics. Singapore: Times Media Private Limited, 2003.
Colorful and simply designed textbooks and workbooks designed for classroom instruction.
ThinkMath!. Education Development Center, Harcourt, 2008.
Lansberg, Mitchell. "In L.A., Singapore Math has Added Value," Los Angeles Times, March 9, 2008, http://articles.latimes.com/2008/mar/09/local/me-math9
Weinstein, Lawerence and John A. Adams, Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin. Princeton University Press. 2008.
Witt, Elizabeth, Principal Editor .What the United States Can Learn from Singapore's World-Class Mathematics System (and what Singapore can learn from the United States): An Exploratory Study, Alan Ginsburg, Steven Leinwand, Terry Anstrom, Elizabeth Pollock http://www.air.org/news/documents/Singapore
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