Parenting stress and autistic children's emotional problems relate to family-school partnerships and parent mental health.

Dimensions of family-school partnerships, including parent-teacher relationship quality and family educational involvement, are associated with positive outcomes for youth. Family-school partnerships are important for autistic youth, who may particularly benefit from cross-setting supports. Coordinated family-school partnerships may help maximize child outcomes. This study investigated the extent to which child behavioral and physical health (emotional, behavioral, and medical problems) and parent mental health (parenting stress, parent mental health history, and parent depressive symptoms) were associated with parent-teacher relationship quality and family involvement in a sample of 68 families of school-aged autistic children. Families were recruited through invitation letters disseminated at local early intervention and early childhood programs. Children in the sample were primarily boys, primarily White, and approximately 8 years old. Results suggest that (a) child emotional problems and parenting stress were negatively associated with parent-teacher relationship quality (large effects) and (b) parent history of mental health problems was negatively associated with family involvement (large effect). Intervention recommendations and future research directions are discussed. For example, it would be helpful for future research to include the perspectives of ethnically diverse samples when examining family-school partnerships among families with autistic children. (PsycInfo Database Record (c) 2023 APA, all rights reserved).

Examining Interactions Across Instructional Tiers: Do Features of Tier 1 Predict Student Responsiveness to Tier 2 Mathematics Intervention?

High-quality Tier 1 instruction is frequently conceptualized as the "foundation" for other tiers of intervention within multitiered systems of support (MTSS) models. However, the vast majority of Tier 2 intervention studies do not account for Tier 1 variables when examining intervention effectiveness. The purpose of this study was to examine Tier 1 predictors, or "quality indicators," of differential responsiveness to Tier 2 mathematics intervention. Data were drawn from a large-scale data set where all teachers taught the Early Learning in Mathematics (Tier 1) core program across the academic year, and a subset of students were selected for the ROOTS (Tier 2) mathematics intervention. We examined the following Tier 1 variables: (a) classroom-level mathematics gains, (b) Tier 1 fidelity of implementation, (c) Tier 1 classroom management and instructional support, and (d) class size. Response to Tier 2 intervention was not significantly predicted by any of the Tier 1 variables examined; however, the pattern of Hedges' g effect sizes suggested that students with higher quality of Tier 1 instruction tended to benefit less from the Tier 2 ROOTS intervention. Results are discussed in the context of implications for research and practice.

Proficiency With Number Concepts and Operations: Replicating the Efficacy of a First-Grade Mathematics Intervention.

Conceptual replications are part and parcel of education science. Methodologically rigorous conceptual replication studies permit researchers to test and strengthen the generalizability of a study's initial findings. The current conceptual replication sought to replicate the efficacy of a small-group, first-grade mathematics intervention with 240 first-grade students with mathematics difficulties in a new geographical region. Participating students were randomized into one of three conditions: (a) 2:1 mathematics intervention group, (b) 5:1 mathematics intervention group, or (c) business-as-usual instruction. Relative to the original study, findings from the replication varied. When comparing the treatment groups to the control, results suggested positive effects on all outcome measures, including a follow-up assessment administered one year later. However, differences between the two treatment groups based on group size were not found in the mathematics outcome measures. Both groups also received commensurate levels of observed instructional interactions. Implications for unpacking contextual differences between original research and their replications as well as using future research to explore the quantity and quality of instructional interactions as ways to explain variation in findings of group size are discussed.

Using Direct Observation to Document "Practice-Based Evidence" of Evidence-Based Mathematics Instruction.

Implementation of evidence-based practices (EBPs) is paramount to students' development of mathematics proficiency. This study investigated "practice-based evidence" of interventionists' actual use of explicit mathematics instruction, a well-established EBP. Specifically, this study analyzed direct observation data collected in a federally funded efficacy trial involving a Tier 2 first-grade mathematics intervention to examine whether the quantity and quality of explicit mathematics instruction was associated with the mathematics outcomes of 470 first-grade students with or at risk for mathematics learning disabilities. Associations between group-level pretreatment skill levels and the quality and quantity of explicit mathematics instructional practices used in the intervention were also explored. Findings suggested significant associations between positive gains in student mathematics outcomes and (a) lower rates of incorrectly answered mathematics-focused questions, and (b) the rate in which interventionists delivered group-level practice opportunities and offered academic feedback. Significant associations were also found between initial student mathematics performance and rates of student errors and the quality of explicit instruction. Implications for using direct observation to document enacted EBPs are discussed.