Accumulating evidence suggests that there is a spontaneous preference for numerical, compared to non-numerical (e.g., cumulative surface area), information. However, given a paucity of research on the perception of non-numerical magnitudes, it is unclear whether this preference reflects a specific bias towards number, or a general bias towards the…

Are there some differences so small that we cannot detect them? Are some quantities so similar (e.g., the number of spots on two speckled hens) that they simply look the same to us? Although modern psychophysical theories such as Signal Detection Theory would predict that, with enough trials, even minute differences would be perceptible at an…

Young children are sensitive to both numerical and spatial magnitude cues early in development, but many questions remain about how children's attention to magnitudes relates to their early math achievement. In two studies, we tested three hypotheses related to the flexible attention to magnitudes (FAM) account, which suggests that young…

Humans perceptually extract quantity information from our environments, be it from simple stimuli in isolation, or from relational magnitudes formed by taking ratios of pairs of simple stimuli. Some have proposed that these two types of magnitude are processed by a common system, whereas others have proposed separate systems. To test these…

Although young infants have repeatedly demonstrated successful numerosity discrimination across large sets when the number of items in the sets changes twofold (E. M. Brannon, S. Abbott, & D. J. Lutz, 2004; J. N. Wood & E. S. Spelke, 2005; F. Xu & E. S. Spelke, 2000), they consistently fail to discriminate a twofold change in number when one set…

A critical examination of two key aspects of Piaget's account of how small children come to understand basic number concepts. (Author/CS)

Two experiments examined 6-month-olds' ability to discriminate between visual displays of various number of dots varying in size and position, and with controls for other extraneous variables. Findings indicated that infants could discriminate between large sets on the basis of numerosity if they differed by a large ratio (8 versus 16, but not 8…

Two experiments compared 6-month-olds' numerosity discrimination performance on both large numbers and small numbers with both total filled area and total contour length controlled. Results showed that infants succeeded in discriminating 4 from 8 elements, but failed to discriminate 2 from 4 elements, providing evidence for the existence of two…

Study supported by Mental Health Research Grant 605-5-373.

Used shift-rate recovery method in three experiments to examine extent to which 6-month-olds find perceptual cues such as density and length useful in discrimination of linearly arranged sets of large numbers of objects. Found that infants can discriminate between large number sets by relying on absolute cues such as density and on relative cues…

Investigates preschoolers' knowledge of counting principles by examining their ability to discriminate between features essential for correct counting and features typically present but unessential. Skill in executing the standard counting procedure was found to precede knowledge of the underlying principle. (Author/AS)

Two experiments investigated infants' sensitivity to amount of continuous quantity and to changes in amount of continuous quantity. Found that 6-month-olds looked significantly longer at a novel quantity than at the familiar quantity. Nine-month-olds looked significantly longer at an impossible event than at a possible event. Findings question…

This brief report attempts to resolve the claim that infants preferentially attend to continuous variables over number [e.g. Psychol. Sci. 10 (1999) 408; Cognit. Psychol.44 (2002) 33] with the finding that when continuous variables are controlled, infants as young as 6-months of age discriminate large numerical values [e.g. Psychol. Sci. 14 (2003)…

Performance of 5 students (ages 8 and 10) with moderate intellectual disability was compared as they received the DISTAR Arithmetic instructional intervention and a Discrimination Learning Theory (DLT) intervention not requiring a fast-paced verbal student response. Academic engagement and skill mastery were greater during the DLT intervention.…

This manual, Part 1 of a two-volume series, is a compilation of instructional tasks designed to be used in the home by parents with their children. These home learning activities are one component of the Florida Model of Follow Through Programs. Each instructional task is designed for use in the home by a Parent Educator (P.E.) who has already…