The Common Core Standards require demonstration of conceptual knowledge of numbers, operations, and relations between mathematical concepts. Supplemental instruction should explicitly guide students with specific learning disabilities (SLD) in these skills. In this article, we illustrate implementation of the concrete-representational-abstract (CRA) sequence and the Strategic Instruction Model (SIM) for teaching multiplication with regrouping to students with SLD. CRA combined with SIM has been shown to be effective in teaching computation for students with SLD, specifically for developing conceptual understanding. Four elementary students with SLD participated in this study. The researchers used a multiple-probe design to show a functional relation. Students demonstrated increases in computational fluency; skills were maintained and generalized.

Language intervention using Direct Instruction (DI) has shown positive results. There is a growing body of investigation of Language for Learning (LL), a DI program, on the performance of students with autism spectrum disorders (ASD) and students with developmental delays (DD). There is need for replication and extension of research to include rural settings and students with ASD and DD. The purpose of this study was to investigate the effects of LL on the language of students with DD and ASD in a rural preschool classroom. Four preschool students with DD and ASD participated in 12 weeks of instruction, resulting in improved language skills.

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The purpose of this study was to investigate the effects of the concrete-representational-abstract–integrated (CRA-I) sequence on students with learning disabilities’ performance when learning fraction and decimal concepts. Three elementary students in Grades 4 and 6 participated in a single-case multiple probe across behaviors study. The intervention involved explicit use of fraction blocks, coins, base ten blocks, number lines, pictures, and abstract symbols to teach unit fractions, fraction and decimal equivalence, addition of fractions with unlike denominators, and writing fractions as decimals. The researchers demonstrated a functional relation between CRA-I and three different behaviors related to fraction concepts: decreased error in estimating fraction magnitude, addition of unlike fractions, and writing fractions as decimals. The findings show promise in the use of CRA-I for teaching fraction concepts to students with learning disabilities.