Annotated Bibliography
Howe, Roger. "3 Pillars of Mathematics." Lecture, Yale National Teacher Initiative from Yale University, New Haven, July 15, 2011. Foundational information about teaching and understanding addition and subtraction operations, place value and the connections between counting numbers and measurement.
Howe, Roger. "Addition and Subtraction on a Number Line." Class lecture, Great Ideas of Primary Mathematics from Yale University, New Haven, August 16, 2011. Examples of adding whole numbers and fractions using the number line.
Bennett, Albert B., and Leonard T. Nelson. Mathematics for elementary teachers a conceptual approach. 7. ed. Boston [u.a.: McGraw-Hill Higher Education, 2008. Detailed textbook for teachers on most concepts taught in elementary mathematics. Many examples and problems for practice.
Bright, George, Merlyn Behr, Thomas Post, and Ipke Wachsmuth. "Identifying Fractions on Number Lines." Journal for Research in Mathematics Education 19, No. 3, no. May (1988): 215-232. Article reviewing a study at a school looking at student understanding of fractional values and operations with fractions by using number lines.
Chow, Wai Keung, Esther Yoon Cheng Ng, and San Ling. Discovering mathematics . Singapore: Star Publishing, 2007.
Chow, Wai Keung, Esther Yoon Cheng Ng, and San Ling. Discovering mathematics . Singapore: Star Publishing, 2009. A text for 6 th grade math students, based on the Singapore models.
Fosnot, Catherine Twomey, and Maarten Ludovicus Antonius Marie Dolk. Young mathematicians at work: constructing fractions, decimals, and percents. Portsmouth, NH: Heinemann, 2002. A book reviewing the possibilities for fractional understanding through student discovery using complex word problems for groups.
Lamon, Susan J.. Teaching fractions and ratios for understanding essential content knowledge and instructional strategies for teachers. Mahwah, N.J.: Erlbaum, 1999. A book that reviews important content knowledge for teachers about fractions, ratios and proportions. This book gives many problem sets that would be beneficial for both teachers and students.
Ma, Liping. Knowing and teaching elementary mathematics teachers' understanding of fundamental mathematics in China and the United States. Mahwah, N.J.: Lawrence Erlbaum Associates, 1999. This book examines U.S. and Chinese teacher understanding of basic math concepts such as subtraction and division of fractions.
Folsom, Amanda. "Multiplication on a Number Line." Class lecture, Great Ideas of Primary Mathematics from Yale University, New Haven, July 21, 2011. Using number lines as an alternative way to see multiplication.
Primary mathematics 4a . Standards ed. Tarrytown, NY: Marshall Cavendish Education ;, 2008. California adopted math text for 4 th grade.
Primary mathematics 5a . Standards ed. Tarrytown, NY: Marshall Cavensidh Education ;, 2008. California adopted math text for 5 th grade.
Wu, H.. "Teaching Fractions in Elementary School: A Manuel For Teachers."
www.math.berkeley.edu. http://math.berkeley.edu/~wu/fractions1998.pdf (accessed June 10, 2011). Background content information as well as many visuals for alternatives to basic algorithms.
Comments: