Unlike children's early ability to navigate by continuous boundaries, their ability to extract geometric information from an array of objects emerges gradually over childhood. To investigate children's developing representation of object arrays for navigation and its relation to their mental representation of the global spatial layout,…

Similar estimation biases appear in a wide range of quantitative judgments, across many tasks and domains. Often, these biases (those that occur, for example, when adults or children indicate remembered locations of objects in bounded spaces) are believed to provide evidence of Bayesian or rational cognitive processing, and are explained in terms…

Virtual presence describes a users' perception of a virtual reality (VR) environment (VRE), specifically, of their "involvement" (sense of control within a virtual environment with minimal distractions) and "immersion" (multi-input sensory engagement providing apparent realism of objects and interactions). In education, virtual…

Learning the names of geometric shapes is at the intersection of early spatial, mathematical, and language skills, all important for school-readiness and predictors of later abilities in science, technology, engineering, and mathematics (STEM). We investigated whether socioeconomic status (SES) influenced children's processing of shape names and…

Geometry is one of the highest achievements of our species, but its foundations are obscure. Consistent with longstanding suggestions that geometrical knowledge is rooted in processes guiding navigation, the present study examines potential sources of geometrical knowledge in the navigation processes by which young children establish their sense…

The "correspondence problem" is a classic issue in vision and cognition. Frequent perceptual disruptions, such as saccades and brief occlusion, create gaps in perceptual input. How does the visual system establish correspondence between objects visible before and after the disruption? Current theories hold that object correspondence is established…

To better understand the development of children's thinking in three-dimensional geometry, we conducted a teaching experiment with 8- and 9-year olds in which children built and described polyhedra during several lessons. Analysis of pre-/post-assessments showed that children advanced in their geometric reasoning and began to identify, enumerate,…

Four- to 10-year-old children (n = 50) participated in a 2D search task that included geometry (with- and without lines) and feature conditions. During each of 27 trials, participants watched as a cartoon character hid behind one of three landmarks arranged in a triangle on a computer screen. During feature condition trials, participants could use…

Using a sticker search task, Gentner and Rattermann ("Perspectives on thought and language: Interrelations in development" (Gelman & Byrnes, Eds.), pp. 225-227, 1991) found that the ability to ignore surface features and match objects in terms of relative size emerged around 5 years of age. However, because spatial position covaried with relative…

The authors explore how children's play can support the development of the foundations of mathematics learning and how adults can support children's representation of--and thus the "mathematization" of--their play. The authors review research about the amount and nature of mathematics found in the free play of children. They briefly…

This paper presents the results of a study of the structural development of young students' drawings of arrays, and in particular, the significance of using lines instead of drawing individual squares. Students' array drawings were classified on basis of numerical properties, and perceived structural similarities that reflected the spatial…

Children, ages 9 to 13 years, made judgments of proportion with a variety of graphical elements in 2 experiments. A characteristic pattern of over- and underestimation was observed; this pattern was also present, but previously unnoticed, in judgments made by adults. (MDM)

A review of work related to the topological primacy thesis and a critique of some aspects of it are presented. On the basis of the psychological research, it is concluded that topological concepts ought to be taught. (MP)

Seven-year-olds compared successively presented oblique lines which varied as to their position within a square display and their relation to the diagonal axis of the display. Children apparently encoded lines in terms of position and axis features. They used a categorical spatial representational system to compare oblique lines. (Author/RD)

Several critical questions concerning the topological primacy thesis were raised in an extensive literature survey (SE 531 428). Three points related to this criticism are discussed and reinforced, including a reexamination of Laurendeau and Pinard's data (showing that they do not support the hypothesis of topological primacy in children's…