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While deficits for students with learning disabilities (LD) are prevalent in almost all aspects of mathematics, difficulty in the application and understanding of problem-solving tasks are much more challenging to remediate than computational and procedural skills. Given the complexities involved in authentic problem-solving activities emphasized in current mathematics standards and the inherent challenges presented to students with LD, the importance of using strategies and techniques guided by evidence-based practices is paramount. Yet, ineffective instructional strategies for problem solving are still widespread in both mathematics curricula and available teacher resources. In this chapter, we provide a description of a commonly used ineffective problem-solving strategy (i.e., the keyword strategy), an overview of the keyword research, and an explanation for its ineffectiveness. We conclude with a description of three evidenced-based problem-solving approaches and practices that significantly improve the mathematical performance of students with LD.

This chapter discusses what special instruction is and alternative ways of providing special education. It considers the values and limitations of the typical self-contained classrooms and special schools, resource rooms staffed by special educators, collaboration with general educators, and co-teaching in addition to inclusion. The revolutionary idea that a science of instruction should guide the evolution of instruction and instructional environments is also discussed.

Mathematics can be a challenging content area for all students and especially for students with disabilities. Assistive technology can support the access, participation and achievement of students with disabilities in mathematics in general and in inclusive mathematics settings in particular. In this chapter, assistive technology to academic and functional mathematics will be discussed; particularly, manipulatives, calculators and other technology-mediated mathematics interventions (e.g., apps or computer programs) will be highlighted.

This chapter reviews the intervention research literature – particularly interventions deemed evidence-based – for students with intellectual disability across academic and life-skills instruction. Although the focus of this chapter is the spectrum of students covered under the term “intellectual disability,” the majority of research on evidence-based interventions for students with intellectual disability focus on students with more moderate and severe intellectual disability, rather than students with mild intellectual disability. The majority of the interventions determined to be evidence-based within the literature for students with intellectual disability – across both academic and life skills – tend to be those that fall within the purview of systematic instruction.

Students with extensive supports needs (ESN) often require pervasive and intensive supports to access the full benefits of educational programming. In this chapter, the authors describe the application of both established and innovative technologies for promoting equitable access and opportunity for these students. They provide guidance for the use of technology across the areas of academic instruction, social communication, behavior supports, daily living, and employment.

Students with mathematics-related learning difficulties (MLD) experience difficulties in many areas of mathematics achievement; without intervention, these difficulties will persist. In this chapter, I first review research examined cognitive processes deficits of MLD. Because difficulties in learning mathematics are presumably due to these cognitive deficits, findings of these studies can shed light on developing effective intervention programs. Second, using Response to Intervention (RTI) as a framework to distinguish the intensity level of intervention, I review findings from existing Tier 2 and Tier 3 intervention studies and synthesize the instructional approaches used in these studies as well as the factors researchers used to intensify the intervention. Finally, Data-Based Individualization (DBI), a systematic approach to intensify intervention, commonly used at the Tier 3 level, is review. Suggestions for future research directions for intensive mathematics intervention are also provided.