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Effective instructional strategies to improve mathematical problem solving skills are critically important to student success in both school-based and real-world mathematics tasks. This study reports effects of a Virtual-Representational-Abstract Integrated framework on the mathematical problem solving skills of three middle school students with developmental disabilities (autism spectrum disorder and intellectual disability). All participants improved in their problem solving accuracy when solving multiplicative comparison word problems using realistic double and triple multipliers. Additionally, all participants maintained their mathematical problem solving accuracy after visual supports (graphic organizer) were removed. Detailed findings and implications for future research and practitioners are discussed.

This systematic review provides a synthesis of intervention research that taught mathematical word problem solving skills to students with autism spectrum disorder between 1975 and April of 2020 by evaluating the body of research in terms of “what works”, “for whom” and “under what conditions”. The Council for Exceptional Children (CEC, 2014) quality indicators were used to evaluate methodology of the 20 included studies. The 18 studies that met the criteria to be classified as “high quality” were further analyzed in terms of intervention components (i.e., the “what”), how effectiveness was measured (i.e., defining “works”), characteristics of individuals included in the research (i.e., “for whom”) and the tasks, settings, and instructors used (i.e., “under what conditions”). While six practices met the CEC criteria for classification “evidence based”, including task analysis, system of least prompts, graphic organizers, explicit instruction, schema-based instruction, and technology assisted instruction, these practices were consistently used in combination as “treatment packages”. Implications for practice and future research are discussed.

Computer-assisted instruction (CAI) is growing in popularity and has demonstrated positive effects for students with disabilities, including those with autism spectrum disorder (ASD). In this review, criteria for group experimental and single case studies were used to determine quality (Horner et al., Exceptional Children 71:165–179, 2005 ; Gersten et al., Exceptional Children 71:149–164, 2005 ; National Technical Assistance Center on Transition Center 2015 ). Included studies of high and adequate quality were further analyzed in terms of content, context, and specific instructional practices. Based on the NTACT criteria, this systematic review has established CAI as an evidence-based practice for teaching academics to students with ASD with support from 10 single-case and two group design studies of high or adequate quality. Suggestions for future research and implications for practice are discussed.

The purpose of this study was to evaluate the effect of a multicomponent mathematics intervention (modified schema-based instruction, video anchors, and goal setting with self-graphing) on mathematical problem-solving skills of secondary students with intellectual and developmental disabilities. Three participants were taught to solve percent of change word problems, which involved calculating the discounted price of an item or activity after using a coupon and then determining whether they had enough money to make the purchase. Results of the multiple probe across participant design indicate a functional relation between the intervention and problem solving, and all participants were able to generalize skills from word problems to real-world stimuli (i.e., coupons, receipts, menus). Implications for practice and future research are discussed.

This study used modified schema-based instruction (MSBI) to teach mathematical word problem solving to three students with ASD in fifth and sixth grade. Following explicit strategy instruction, the participants learned to use an 8-step task analysis and a graphic organizer to solve and discriminate between math word problems requiring algebraic reasoning. A multiple probe across participants design was used to establish a functional relation between MSBI and word problem solving, with a non-parametric measure (Tau-U) confirming visual analysis of a large effect (.87). Results indicated students increased the number of steps of the task analysis solved independently correct, total problems solved, and discrimination of problem type. Implications for practice and future research are discussed.

Mathematics education highlights the importance of helping students understand mathematical content and the ability to think critically about mathematics. Mathematical practice standards outline expectations for engaging students in meaningful mathematics activities to encourage a deep understanding of mathematical concepts and content. For some students, however, engagement in mathematical practices may not come naturally, and therefore will need to be explicitly taught. Students with autism spectrum disorder have communication and executive functioning deficits that are likely to decrease their engagement in mathematical practices. A multiple probe across behaviors single-case design was used to investigate the effectiveness of a modified schema-based instructional (MSBI) strategy on the use of mathematical practices of a middle school student with autism spectrum disorder (ASD). The student was taught to solve equal group, proportional, and percent of change word problems using MSBI. Results provide evidence of a functional relation between MSBI and mathematical practices with three demonstrations of an effect. Results from social validity questionnaires also support the importance of the skills taught, along with an observed behavioral change for the student during mathematics instruction in his classroom setting. Implications for teaching and future research are discussed.

There is very limited research on inclusive mathematics instruction for students with extensive support needs (i.e., moderate to severe intellectual disability, autism, multiple disabilities) and this is a critical area of need. The purpose of this article is to propose a framework for mathematics instruction for students with extensive support needs in inclusive settings using practices that have been found effective in more restrictive settings, combined with the limited findings on effective inclusive practices for students with extensive support needs. A conceptual model for mathematics instruction for students with extensive support needs is illustrated and described. The proposed model provides guidance for collaborative teams and key stakeholders when planning for mathematics instruction in inclusive settings. Barriers to including students with extensive support needs in general education mathematics settings are discussed and recommendations for overcoming these barriers are described.

Although solving word problems involves both literacy and mathematics skills, research to date has only targeted mathematical learning. This study sought to increase teaching efficiency by embedding literacy instruction within mathematical word problem solving instruction for three elementary students with intellectual and developmental disabilities. A multiple probe across participants design showed a functional relation between modified schema-based instruction (MSBI) and mathematical word problem solving. All participants increased knowledge of nontargeted literacy skills using instructive feedback, and two participants demonstrated a further increase following the use of constant-time delay (CTD). The results highlight several implications for practice regarding the feasibility of MSBI with instructive feedback to simultaneously address multiple academic domains or skills. Limitations and suggestions for future research are discussed.

Triple-negative breast cancer (TNBC) is responsible for a disproportionate number of breast cancer deaths due to its molecular heterogeneity, high recurrence rate and lack of targeted therapies. Dysregulation of the phosphoinositide 3-kinase (PI3K)/AKT pathway occurs in approximately 50% of TNBC patients. We performed a genome-wide CRISPR/Cas9 screen with PI3Kα and AKT inhibitors to find targetable synthetic lethalities in TNBC. We identified cholesterol homeostasis as a collateral vulnerability with AKT inhibition. Disruption of cholesterol homeostasis with pitavastatin synergized with AKT inhibition to induce TNBC cytotoxicity in vitro, in mouse TNBC xenografts and in patient-derived, estrogen receptor (ER)-negative breast cancer organoids. Neither ER-positive breast cancer cell lines nor ER-positive organoids were sensitive to combined AKT inhibitor and pitavastatin. Mechanistically, TNBC cells showed impaired sterol regulatory element-binding protein 2 (SREBP-2) activation in response to single agent or combination treatment with AKT inhibitor and pitavastatin. This was rescued by inhibition of the cholesterol trafficking protein Niemann-Pick C1 (NPC1). NPC1 loss caused lysosomal cholesterol accumulation, decreased endoplasmic reticulum cholesterol levels and promoted SREBP-2 activation. Taken together, these data identify a TNBC-specific vulnerability to the combination of AKT inhibitors and pitavastatin mediated by dysregulated cholesterol trafficking. Our work motivates combining AKT inhibitors with pitavastatin as a therapeutic modality in TNBC.