This article describes the results of a multi-year research project on algebraic reasoning in middle school students. The article describes middle school studentsí understandings and/or misunderstandings of two core algebraic ideas ñ equivalence and variables. The article gives student response examples and discusses implications for instruction. This article could be used to supplement the readings from sections II and IV.
Knuth, Eric J., Alibali, Martha W., McNeil, Nicole M., Weinberg, Aaron, Stephens, Ana C. (2005) Middle School Studentís Understanding of Core Algebraic Concepts: Equivalence + Variable. ZDM 37(1). To read this article online: http://www.ithaca.edu/faculty/aweinberg/papers/9Knuth_final.pdf