Students say some amazing things. This department highlights the learning of one or two students and their approach to solving a math problem or prompt. Each article includes the prompt used to initiate the discussion, a portion of dialogue, student work samples (when applicable) and teacher insights into the mathematical thinking of the students. In this article, Walker shares his thoughts on compensation with his classmates as they explore the relationships between the combinations of apples and bananas in a fruit bowl.

Contributor Notes

Sandra F. McGrath,, is a math coach at A. R. Ware Elementary School in Staunton, Virginia. She is interested in encouraging developmentally appropriate curriculum and algebraic reasoning in Kā€“grade 2. She is completing her math specialist endorsement at the University of Virginia.

Tammy J. Sanford,, is a kindergarten teacher at A. R. Ware Elementary School. She is interested in learning how to create meaningful learning experiences to engage children's mathematical thinking and reasoning.

Edited by Megan Kelly Murray,, at the University of Virginia in Charlottesville

Jane Moore,, an associate professor at National Louis University in Chicago, Illinois. E-mail your insights into a student's mathematical thinking to Include Back Talk in the subject line. Find detailed submission guidelines for all departments at

(Corresponding author is McGrath
(Corresponding author is Sanford
(Corresponding author is Murray
(Corresponding author is Moore
Teaching Children Mathematics
All Time Past Year Past 30 Days
Abstract Views 15 5 0
Full Text Views 50 24 19
PDF Downloads 14 6 0
EPUB Downloads 0 0 0