The construct and measurement of spontaneous attention to a number

Abstract: The Spontaneous Attention to a Number (SAN) construct serves a different purpose than Hannula-Sormunen and colleagues’ Spontaneous Focus on Number (SFON) construct. As an extension of Eleanor J. Gibson’s differentiation theory, the premise of SAN is that children’s step-wise construction of small number concepts enables them to perceptually differentiate among increasingly larger numbers—to distinguish reliably between “oneness” or “twoness” and larger numbers, then between “threeness” and “larger numbers,” and eventually between “fourness” and larger numbers. In contrast, SFON refers to the tendency to attend to numbers in general—an attentional process that, unlike SAN, is separate from enumeration skill. Not surprisingly, then, although the prototype for both the SAN and SFON tasks is Nancy C. Jordan and colleagues’ non-directive nonverbal number task, the independent development of the SAN and SFON tasks resulted in key differences in how they are administered and scored and to whom they are administered.