Integrated number sense tutoring remediates aberrant neural representations in children with mathematical disabilities

Number sense is essential for early mathematical development but it is compromised in children with mathematical disabilities (MD). Here we investigate the impact of a personalized 4-week Integrated Number Sense (INS) tutoring program aimed at improving the connection between nonsymbolic (sets of objects) and symbolic (Arabic numerals) representations in children with MD. Utilizing neural pattern analysis, we found that INS tutoring not only improved cross-format mapping but also significantly boosted arithmetic fluency in children with MD. Critically, the tutoring normalized previously low levels of cross-format neural representations in these children to pre-tutoring levels observed in typically developing, especially in key brain regions associated with numerical cognition. Moreover, we identified distinct, 'inverted U-shaped' neurodevelopmental changes in the MD group, suggesting unique neural plasticity during mathematical skill development. Our findings highlight the effectiveness of targeted INS tutoring for remediating numerical deficits in MD, and offer a foundation for developing evidence-based educational interventions.

More than de minimis: FAPE in the Post Endrew F. Era

Federal regulations for special education services have focused primarily on procedural issues since the Rowley decision, which held that Individualized Education Programs (IEPs) need only be reasonably calculated to yield educational benefit. However, the minimum threshold for benefit has changed with the recent Endrew F. decision as IEPs must yield more than de minimis progress. To ensure sufficient progress toward the achievement of ambitious goals, schools must develop IEPs that meet procedural and substantive requirements, employ interventions with clear evidence of effectiveness, effectively measure student response to services, and to communicate this information with parents/guardians so that they can actively participate in this process. Manuscripts invited for this special issue include investigations of IEP quality; co-teaching; intervention studies in reading, writing, and mathematics; meta-analytic findings regarding social studies education; and a discussion of the implications of Endrew F. for different student disability populations. These papers discuss challenges faced by stakeholders with vested interests in students with disabilities as well as areas of continued development and refinement in evidence-based practice.