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.
Sandra F. McGrath, firstname.lastname@example.org, 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 K–grade 2. She is completing her math specialist endorsement at the University of Virginia.
Tammy J. Sanford, email@example.com, 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.
Jane Moore, firstname.lastname@example.org, an associate professor at National Louis University in Chicago, Illinois. E-mail your insights into a student's mathematical thinking to email@example.com. Include Back Talk in the subject line. Find detailed submission guidelines for all departments at www.nctm.org/tcmdepartments.