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This paper presents a model, the double integration model, for integrating Computer Science (CS) and mathematics in upper elementary instruction. Fifth-grade students (n=1,037) participated either in the double integrated model (Condition 1; integrated in both CS and Math instruction) or integrated lessons only in CS instruction (Condition 2). After each lesson, students rated their enjoyment, perceived ease, and perceptions of CS-math connections. Multilevel analyses revealed that Condition 1 students reported significantly more positive perceptions and stronger CS-math connections of the lessons than Condition 2 students. Girls in Condition 1 responded more positively than boys on enjoyment and connection items, and outperformed Condition 2 girls across all measures. These findings underscore the double integration model's effectiveness, particularly in enhancing girls' engagement.