The Misconceptions Of Youth: Errors And Their Mathematical Meaning
According to cognitivists, errors are grounded in active, conscious process of determining "what to do next," and can be controlled and eliminated. Based on this theorizing, a technology-based program (TORUS) has been developed to examine and remedy the mathematic misconceptions of students with learning disabilities. It is intended to be a prototype of an advanced diagnostic system for education. Research conducted with TORUS is described, and it is suggested that the prevalence of misconceptions in students with learning disabilities argues for a serious reconsideration of the way mathematics is taught to these students. Much more emphasis should be placed on conceptual understanding particularly in light of the widespread use of technology for solving routine computational tasks.
Woodward, John, and Lisa Howard. 1994. "The misconceptions of youth: Errors and their mathematical meaning." Exceptional Children 61(2): 126-136.