Teaching geometry courses for preservice elementary teachers, we observed that difficulty with classifying shapes (and, in particular, composite 3-D shapes) persists even after work with simple shapes to support the writing of accurate and unambiguous definitions. We conducted a self-study of our teaching of 3-D concepts to uncover the concept…

Developmentally appropriate curriculum is a component for quality early childhood care and education. This study was conducted in Debre Markos town, East Gojjam Zone, Ethiopia. The study aimed to evaluate if the textbooks implemented by private preschools are developmentally appropriate or not. Qualitative case study approach was employed and…

This article reports a recent case study providing evidence that toddlers explore mathematical concepts in their outdoor play. The play experiences the toddlers engaged in gave rise to seven mathematical categories. In each of these categories examples are given of some of the ways the toddlers displayed their mathematical knowledge and skill.

Memories for spatial locations often show systematic errors toward the central value of the surrounding region. This bias has been explained using a Bayesian model in which fine-grained and categorical information are combined (Huttenlocher, Hedges, & Duncan, 1991). However, experiments testing this model have largely used locations contained in…

Two experiments examined child and adult processing of hierarchical stimuli composed of geometric forms. Adults (ages 18-23 years) and children (ages 7-10 years) performed a forced-choice task gauging similarity between visual stimuli consisting of large geometric objects (global level) composed of small geometric objects (local level). The…

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…