Bibliographies
Annotated Bibliography
Ball, Deborah Loewenberg. Mathematical proficiency for all students: toward a strategic research and development program in mathematics education. Santa Monica, CA: RAND, 2003.
Deborah Ball has written extensively about what educators need to know about student learning and mathematical proficiency in order to improve math instruction in U.S. schools.
Devlin, Keith J. The language of mathematics: making the invisible visible. New York:W.H. Freeman, 1998.
This book provides insight and information regarding how mathematics impacts our daily lives–much more so than most people realize.
Haylock, Derek. "SAGE book: Understanding Mathematics for Young Children: A Guide for Foundation Stage and Lower Primary Teachers: Derek Haylock, Anne D Cockburn: SAGE the natural home for authors, editors and societies." SAGE - the natural home for authors, editors and societies. SAGE is a leading international publisher of journals, books, and electronic media for academic, educational, and professional markets: Welcome to Sage. http://www.uk.sagepub.com/booksProdDesc.nav?prodId=Book231901 (accessed July 11, 2010).
A good resource for elementary teachers of mathematics because it includes information on the foundation of mathematics that all teachers should know and understand.
Howe, Roger, and Solomon Friedberg. "The Rule of Signs in Arithmetic." (accessed July 09, 2010).
This article does a good job explaining the rules of mathematics.
Howe, Roger. "Starting Off Right in Arithmetic." (accessed July 10, 2010).
Yale University professor Roger Howe has written extensively on foundational knowledge elementary students should possess in mathematics and the most appropriate way in which to teach this information.
Jamison, Robert. "Learning the Language of Mathematics." http://wac.colostate.edu/llad/v4n1/jamison.pdf.
A good resource for explaining why understanding the language of math is critical for understanding math.
Ma, Liping. Knowing and teaching elementary mathematics: teachers' understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum Associates, 1999.
A quite startling revelation of the conceptual knowledge differences between Chinese teachers and teachers in the U.S.
Ryan, Julie. Children's mathematics 4-15 learning from errors and misconceptions. Maidenhead: Open University, 2007.
The author uses her extensive research to discuss common mathematical misconceptions of students and how teachers can best address those misconceptions to accommodate new learning.
Wetzel, David R. "5 Misconceptions in Elementary Mathematics: Elimination of Mistaken Beliefs about Math Concepts is Critical." Teacher Tips/Training. http://teachertipstraining.suite101.com/article.cfm/5_misconceptions_in_elementary_mathematics (accessed July 11, 2010).
A more brief discussion than Ryan of mathematical misconceptions of students.
Wu, Hung-Hsi. "What's Sophisticated About Elementary Mathematics?" American Educator (2009).
Enlightens the reader about what really is sophisticated about elementary mathematics. Wu is well known for his in-depth teacher in-service on teaching mathematics.
Student Bibliography
Giganti, Paul, and Donald Crews. Each orange had 8 slices: a counting book. New York: Greenwillow Books, 1992.
A great introduction to multiplication and division and the language of word problems. Colorful yet simply illustrated.
Pinczes, Elinor J., and Bonnie MacKain. One hundred hungry ants. Boston: Houghton Mifflin, 1993.
Emphasizes mathematical thinking and sets of numbers divided into equal groups using the landmark number one hundred.
Tang, Greg, and Harry Briggs. The best of times: math strategies that multiply. New York: Scholastic Press, 2002.
Emphasizes strategies for problem-solving and mathematical thinking
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