Although early studies of executive functioning in children supported Miyake et al.'s (2000) three-factor model, more recent findings supported a variety of undifferentiated or two-factor structures. Using a cohort-sequential design, this study examined whether there were age-related differences in the structure of executive functioning among 6- to 15-year-olds (N = 688). Children were tested annually on tasks designed to measure updating and working memory, inhibition, and switch efficiency. There was substantial task-based variation in developmental patterns on the various tasks. Confirmatory factor analyses and tests for longitudinal factorial invariance showed that data from the 5- to 13-year-olds conformed to a two-factor structure. For the 15-year-olds, a well-separated three-factor structure was found.

The importance of executive functioning (EF) skills in mathematical achievement is well established, and researchers have moved from just measuring working memory or updating to an inclusion of other EF skills, namely, inhibition and shifting. In this article, we review studies that have taken different approaches to measuring EF (e.g., using single vs. multiple indicators) and those that have applied different analytical techniques to conceptualize the structure of EF (e.g., exploratory vs. confirmatory techniques). Across studies, updating is often a unique predictor of math achievement at many ages; the findings relating to inhibition and switching are less conclusive. We discuss these findings in relation to age‐related variance in EF structure, the nature of inhibitory and shifting task requirements, and the role of updating as a limiting factor or a common resource for inhibition and shifting.

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, and all the research assistants who helped with data collection and project management.

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