Algebra Word Problem Solutions: Thought Processes Underlying a Common Misconception

A large number of college students exhibit a common misconception while solving certain algebra word problems. The error appears in writing equations where a multiplying factor is placed on the wrong side of the equation: writing 6S=P instead of S=6P, for example. Protocol analysis can allow us to investigate the cognitive processes producing the error as well as those leading to the correct solution. The findings have also led us to view the nature of the processes underlying the correct use of algebraic symbolization in a new way. The description of these basic processes should make it easier to design more effective strategies for teaching algebraic symbolization skills.