The study presented here addresses the question of how time spent viewing and playing with PBS KIDS educational, non-commercial media at home, in family settings, can foster positive outcomes for children and parents/caregivers. The study focused on PEG+CAT, a first-generation transmedia program designed to promote children's mathematics and approaches to learning (ATL) skills. Target mathematics skills included patterns, geometry (2-D and 3-D shapes), ordinal numbers and counting, and measurable attributes and spatial relationships. Target ATL skills included problem solving, perseverance, and self-regulation. An executive summary and highlights of the report's findings are also available. [For the executive summary, "Supporting Parent-Child Experiences with PEG+CAT Early Math Concepts: Report to the CPB-PBS Ready to Learn Initiative. Executive Summary," see ED594293.]