Fractions are an important concept used throughout advanced mathematical ideas and everyday life. Students need a solid understanding of fraction concepts, such as magnitude, equivalence, and operations. However, many students, including students with learning disabilities (LD) in mathematics, struggle with fractions. In this article, the use of…

Researchers have repeatedly found schematic diagrams, both as part of Modified Schema Based Instruction and outside of this problem-solving approach, effective for teaching students with disabilities, including intellectual and developmental disabilities (IDD), to solve math word problems. The current study was a systematic replication of Bouck,…

The purpose of this study was to examine the effects of utilizing explicit instruction, point-of-view video modeling, and augmented reality technology to teach mathematics to students with disabilities. A multiple probe single-case research design was used. Three students with Learning Disabilities (LD) who were receiving special education…

This study investigates the effects of a synchronous online intervention that explicitly taught equivalent fractions using virtual manipulatives to fifth-grade students with learning disabilities. Employing a multiple probe across participants single-case design, this study provided 15 fraction lessons via video conferencing programs to three…

Counting is an important functional skill that is embedded throughout people's daily lives, which can result in numerous meaningful opportunities through which students can learn. Counting, especially early counting, provides a foundation for the development of later mathematics understanding and is highly predictive of later mathematics…

The concrete-representational-abstract (CRA) sequence of instruction is an explicit methodology for teaching mathematics using multiple representations of concepts. Learning concepts through multiple representations fosters conceptual understanding and mathematical thinking. This article describes how a special education teacher used explicit CRA…

Early mathematics achievement is a significant predictor of future math learning. Current research shows that teachers lack knowledge in teaching methods for children with autism spectrum disorder (ASD). Specifically, research focusing on teaching mathematics in ASD is limited. A competency-based education (CBE) mathematics intervention was…

High-leverage practices are essential components of specially designed instruction required by the Individuals with Disabilities Education Improvement Act. High-leverage practices such as explicit instruction and use of instructional and assistive technology have research evidence demonstrating their effectiveness when teaching students with…

Middle school students with learning disabilities often struggle with reading and literacy skills, including vocabulary, and require support in content-area classes such as mathematics where weak vocabulary knowledge can negatively affect learning, achievement, and deep understanding. However, in general, middle school mathematics teachers do not…

In the era of 21st century learning, many secondary students with learning disabilities continue to struggle with mathematics problem solving. Emerging evidence suggests self-regulated strategy development can be combined with existing evidence-based and promising practices during mathematics instruction. These practices include explicit…

The study described in this paper investigated a unique collaboration among a special education and two general educators that sought to prepare students for success in the general education mathematics curriculum and that consisted of coordinated, reform-based instructional design across classroom and pull-out services provided by the special…

Manipulative-based instructional sequences--including both concrete and virtual manipulative instructional sequences--are evidence-based or research-based mathematical interventions for students with disabilities. However, as options for manipulative-based instructional sequences increase, educators need support in deciding the best approach. In…

Research on mathematics interventions for college students with learning disabilities (LD) is sparse, yet mathematics is critical for post-secondary success. Prior research indicates that many effective strategies for teaching mathematics to secondary students with LD (e.g., manipulatives and cognitive strategies) can also improve the mathematics…

To provide appropriate and effective instructional supports to students with disabilities, special education preservice teachers require development of expertise in the design and delivery of specially designed lessons. It is critical that special education preservice education programs provide students ample opportunities to learn how to evaluate…

This study explores volitional and affective responses to instructional activities aimed at developing geometric and spatial vocabulary of a neurodivergent student. Using teaching experiment methodology across 15 instructional sessions, we observed how the student responded to games, direct instruction, and vocabulary support embedded in spatial…