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A growing body of literature supports the effectiveness of Modified Schema-Based Instruction (MSBI) to improve mathematical problem-solving for students with autism spectrum disorder (ASD) and intellectual disability (ID). MSBI is an intervention package that teaches students to identify the problem structure and use a problem-solving heuristic to solve mathematical word problems. Previous research has primarily implemented MSBI in a one-on-one setting with a researcher as the interventionist. This study aimed to investigate the effects of a teacher-delivered MSBI in a small group format on the multiplicative word problem-solving skills of six middle school students with ASD/ID as well as their ability to generalize from word problems to video-based problems. Results of the multiple probe across participants design indicate a functional relation between MSBI and word problem-solving, but generalization varied across participants and maintenance was limited to two participants due to the coronavirus disease 2019 pandemic school closures. Implications for practice and future research are discussed.

There is a growing body of evidence on the effectiveness of modified schema-based instruction (MSBI) for teaching word problem-solving alongside other important skills, such as self-determination and mathematical discourse and reasoning. Yet the majority of studies have not been conducted in naturalistic instructional arrangements. We report single-case design quantitative data from a mixed methods study that sought to evaluate the effectiveness and social validity of peer-delivered MSBI with high school students who were engaged in an established peer mentoring program. Results from the single-case multiple probe across participants design demonstrate a functional relation between peer-delivered MSBI and math problem-solving behaviors. All mentees with intellectual disability independently solved multiplicative comparison word problems following intervention and most maintained and generalized to a socially significant degree. Mentors delivered the intervention as designed and supported their mentees in expressing reasoning to justify their solutions. We provide recommendations for research and practice aimed at increasing expectations and opportunities for secondary students with intellectual disability regarding the use of peer-mediated interventions for academic skills.

Replication research provides evidence to establish, refute, or support evidence-based practices. Systematic replications are also necessary to determine "what works for whom when." The purpose of this study was to conduct a conceptual systematic replication to evaluate the effectiveness of a multicomponent treatment package on multiplicative problem solving for middle school students with extensive support needs. Using a modified schema-based instructional strategy, three participants were taught to solve percent of change problems contextualized in real-world scenarios and a purchasing strategy (i.e., next-dollar strategy) to help them determine how much money was needed to pay for services/products. In addition, goal-setting and self-graphing activities supported development of self-determination skills. Findings from the multiple probe across participant design demonstrate a functional relation between the intervention and independent problem-solving behaviors of all three participants. Students also generalized problem-solving behaviors when presented with real-world stimuli of coupons and receipts. Implications for practice and future research are discussed.

Data analysis inherently requires problem solving, yet it is the most understudied mathematical skill for individuals with extensive support needs. The current study taught elementary students with extensive support needs (i.e., autism and intellectual disability) to solve math word problems requiring analysis of scaled pictographs through modified schema-based instruction on an iPad. Results of the single-case multiple probe across participants design found a functional relation between the iPad-based math intervention and math problem solving, with a large effect size (Tau-U = 0.96) confirming visual analysis. In addition, participants were able to generalize problem-solving skills when they were presented with data analysis problems from grade-level social studies textbooks and visual supports were faded. Implications for practice and future research in teaching mathematics to learners with extensive support needs are discussed.