This article synthesizes findings from an international virtual conference, funded by the United States National Science Foundation, focused on the home mathematics environment (HME). In light of inconsistencies and gaps in research investigating relations between the HME and children’s outcomes, the purpose of the conference was to discuss actionable steps and considerations for future work. The conference was composed of international researchers with a wide range of expertise and backgrounds. Presentations and discussions during the conference centered broadly on the need to better operationalize and measure the HME as a construct—focusing on issues related to child, family, and community factors, country and cultural factors, and the cognitive and affective characteristics of caregivers and children. Results of the conference and a subsequent writing workshop include a synthesis of core questions and key considerations for the field of research on the HME. Findings highlight the need for the field at large to use multi-method measurement approaches to capture nuances in the HME, and to do so with increased international and interdisciplinary collaboration, open science practices, and communication among scholars.

The goal of this study was to evaluate immediate and delayed effects of a caregiver-implemented picture book intervention to support children's mathematical language and numeracy skills. Eightyfour 3-to 5-year-olds (M age = 4.14) were randomly assigned to intervention (n = 40) or active control (n = 44) conditions. Participants in the intervention condition received three researcher-designed picture books with embedded mathematical language content. The active control group received similar books without mathematical language content. All families were asked to read each book a total of four times over 4 weeks (a total of 12 reading sessions). Children were pretested, posttested, and delayed (8 weeks) posttested on mathematical language and numeracy. The intervention resulted in significant positive effects on mathematical language and numeracy at the posttest. At delayed posttest, the mathematical language effects were not statistically significant, but the numeracy effects persisted. However, when only examining the quantitative language items that aligned with the intervention, the effects of the intervention were significant at both immediate and delayed posttests. Findings suggest picture book interventions can have positive impacts on children's early skills.Educational Impact and Implications Statement Supporting children's mathematical language and numeracy development is important for their success in later mathematics. The findings from this study demonstrate that caregivers reading a set of books with embedded mathematical language to their children over the course of 4 weeks can have strong and persistent effects on children's mathematical language and numeracy skills.

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