This article presents solutions to the April 2017 problem scenario, which offers students the opportunity to explore many ways to partition a square. Students can generate ideas about halves, thirds, and fourths through the exploration of squares and rectangles. Students can also recognize that equal shares do not necessarily have to be congruent. 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.
Stephen Currie, firstname.lastname@example.org, is the Lower Math School Specialist at Poughkeepsie Day School in New York. Edited by Michael Flynn, email@example.com, the director of mathematics leadership programs at Mount Holyoke College, in South Hadley, Massachusetts
Claire Riddell, firstname.lastname@example.org, an assistant in research at The Florida Center for Research in Science, Technology, Engineering, and Mathematics (FCR-STEM) at Florida State University. Each month, this section of the department showcases 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.