Resources
Bibliography for Teachers
Carpenter, Thomas P., Elizabeth Fennema, Megan Loef Franke, Linda Levi, and Susan B. Empson. Children’s Mathematics: Cognitively Guided Instruction. Porstmouth: Heinemann, 1999.
Castro-Martinez, Enrique and Antonio Frías-Zorilla, “Two-Step Arithmetic Word Problems,” The Mathematics Enthusiast 10, nos. 1 & 2 (2013): 379-406.
Center/CCSSO, NGA. Common Core State Standards for Mathematics. 2010. www.corestandards.org/Math (accessed July, 2015).
D’Ailly, Hsiao H., Jacque Simpson, and G.E. MacKinnon, “Where Should ‘You” Go in a Math Compare Problem?” Journal of Educational Psychology 89, no. 3 (1997): 562-567.
Englard, Lisa, “Raise the Bar on Problem Solving,” Teaching Children Mathematics October (2010): 156-163.
Fuson, Karen C., William M. Carroll, and Judith Landis, “Levels in Conceptualizing and Solving Addition and Subtraction Compare Word Problems,” Cognition and Instruction 14, no. 3 (1996): 345-371.
Howe, Roger. “Three Pillars of First Grade Mathematics.” Reading, May 2014, from Roger Howe, New Haven, July 2015.
Marshall Cavendish Education. Primary Mathematics (Common Core Edition) Textbook 3A. Singapore: Marshall Cavendish, 2014.
“Mathematics Glossary, Table 1.” Common Core State Standards Initiative. http://www.corestandards.org/Math/Content/mathematics-glossary/Table-1 (accessed July, 2015).
Randall, Charles I., “Big Ideas and Understandings as the Foundation for Elementary and Middle School Mathematics,” Journal of Mathematics Education Leadership 7, no. 3 (2005): 9-24.
“Standards for Mathematical Practice.” Common Core State Standards Initiative. http://www.corestandards.org/Math/Practice (accessed July, 2015).
Takahashi, Akihiko. “Characteristics of Japanese Mathematics Lessons.” Presentation at the APEC International Conference on Innovative Teaching of Mathematics through Lesson Study, Tokyo, Japan, January 14-20, 2006.
Takahashi, Akihiko. “Final Comments.” Presentation at the Annual Chicago Lesson Study Conference, Chicago, IL, May 7, 2015.
Tokyo Shoseki Co., Ltd. Mathematics International Grade 2. Tokyo: Tokyo Shoseki, 2012.
Van de Walle. John. Elementary and Middle School Mathematics: Teaching Developmentally. New York: Longman, 2001. A comprehensive for building understanding through problem solving, grades K-8.
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