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Does Understanding the Equal Sign Matter? Evidence from Solving Equations

Eric J. Knuth, Ana C. Stephens, Nicole M. McNeil, Martha W. Alibali 

July 2006, Volume 37, Issue 4, Page 297

Abstract:
Given its important role in mathematics as well as its role as a gatekeeper to future educational and employment opportunities, algebra has become a focal point of both reform and research efforts in mathematics education. Understanding and using  algebra is dependent on understanding a number of fundamental concepts, one of which is the concept of equality. This article focuses on middle school students' understanding of the equal sign and its relation to performance solving algebraic equations.  The data indicate that many students lack a sophisticated understanding of the equal sign and that their understanding of the equal sign is associated with performance on equation-solving items. Moreover, the latter finding holds even when controlling for  mathematics ability (as measured by standardized achievement test scores). Implications for instruction and curricular design are discussed.

Keywords:
Grade 5
Article
Conceptual Development
Grades 6-8
Math Coordinator / Coach
Teacher
Problems
Problem Solving / Problem Posing
Inequalities
Survey Studies
Professional Development / Teacher Education
Reasoning and Proof
Representation