This article describes how students in first, third, and firth grade worked on the traveling caterpillar task with Katie Hurckes; it includes an analysis of students' thinking. Each month, this section of the Problem Solvers department showcases students' in-depth thinking and discusses the classroom results of using problems presented in previous issues of Teaching Children Mathematics. Find detailed submission guidelines for all departments at http://www.nctm.org/WriteForTCM.
Katie Hurckes, khurckes@dg58.org, is a first-grade teacher at Henry Puffer School in Downers Grove, Illinois. She recently graduated with a Masters of Arts in Mathematics Teaching from Mount Holyoke College in South Hadley, Massachusetts. She strives to instill a love of mathematics in her students and to see math beyond the textbook and classroom. She tweets as @khurckes and @MrsHurckesHP.