Additional Readings

Baroody, A. J. (1999). Children’s relational knowledge of addition and subtraction. Cognition and Instruction, 17, 137-175.

Bryant, P., Christie, C., & Rendu, A. (1999). Children’s understanding of the relation between addition and subtraction: Inversion, identity, and decomposition. Journal of Experimental Psychology, 74, 194-212.

Burns, M. (1995). Math by all means: Multiplication, grade 3. Sausalito, CA: Math Solutions Publications.

Carroll, W. M., Fuson, K. C., & Diamond, A. (2000). Use of student-constructed number stories in a reform-based curriculum. Journal of Mathematical Behavior, 19, 49-62.

Clark, F. B., & Kamii, C. (1996). Identification of multiplicative thinking in children in grades 1-5. Journal for Research in Mathematics Education, 27, 41-51.

Gutstein, E., & Romberg, T. A. (1995). Teaching children to add and subtract. Journal of Mathematical Behavior, 14, 283-324.

Kamii, C. (1994). Young children continue to reinvent arithmetic: 3rd grade. New York: Teachers College Press.

Kamii, C., Lewis, B. A., & Booker, B. M. (1998). Instead of teaching missing addends. Teaching Children Mathematics, 4, 458-461.

Ohanian, S., & Burns, M. (1995). Math by all means: Division, grades 3-4. Sausalito, CA: Marilyn Burns Education Associates.

Schifter, D. (1999). Reasoning about operations: Early algebraic thinking in grades K-6. In L. V. Stiff (Ed.), Developing mathematical reasoning in grades K-12 (pp.62-81). Reston, VA: National Council of Teachers of Mathematics.