Teaching Equivalent Fractions to Secondary Students With Disabilities via the Virtual–Representational–Abstract Instructional Sequence

Abstract

Fractions are an important mathematical concept; however, fractions are also a struggle for many students with disabilities. This study explored a new framework adapted from the evidence-based concrete–representational–abstract framework: the virtual–representational–abstract (VRA) framework. The VRA framework involves teaching students to solve mathematical problems with virtual manipulative, then representations or drawings, and finally abstractly. A multiple probe across-students single-case design was used to investigate the effectiveness of the VRA framework for finding equivalent fractions for three middle-school students with disabilities. A functional relation was found between the VRA framework and students’ ability to solve equivalent fractions. Implications related to the use of the VRA framework as a mathematics intervention for secondary students with disabilities as well as directions for future research are discussed.