Evaluating and Comparing Responsiveness to Two
Interventions Designed to Enhance Math-Fact Fluency
Erin Carroll, Christopher H. Skinner, and Haley Turner
The University of Tennessee, Knoxville
Elizabeth McCallum
Duquesne University
Sarah Woodland
Knox County Schools
Abstract: Response-to-intervention models of service delivery are designed to identify,
prevent, and remedy students’ academic skill deficits, including mathematics skills
deficits. Although educators have developed procedures for enhancing math skills,
further research is needed to establish interventions that are both efficient and effective
for students functioning at a range of abilities. Researchers used an adapted alternating
treatments design to evaluate and compare responsiveness to two interventions
intended to improve the addition—fact fluency of a student with mild mental
retardation. During cover, copy, compare (CCC), a student was instructed to read a list
of math problems and answers, cover each problem and answer, write the problem and
answer, and check her response. During the taped-problems intervention (TP), the
student received a packet of problems and was instructed to complete each problem
before the answer was provided by a corresponding audiotape. A third set of problems
served as a control set. To allow for precise comparison of learning rates across
interventions, 7.5 minutes were allotted for each intervention. Results showed that both
interventions affected increases in addition fluency, with TP yielding more rapid
increases. Discussion focuses on the need to provide practitioners with empirically
validated interventions as well as the need to compare interventions using precise
measures of learning rates in order to identify more effective and efficient interventions.
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