We examined whether African American students differentially responded to dimensions of the observed classroom-learning environment compared with non-African American students. Further, we examined whether these dimensions of the classroom mediated treatment effects of a preschool mathematics intervention targeted at students from low-income…

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…

The purpose of this research is to chart the mathematical actions-on-objects young children use to compose geometric shapes. The ultimate goal is the creation of a hypothetical learning trajectory based on previous research, as well as instrumentation to assess levels of learning along the developmental progression underlying the trajectory. We…

Describes young children's thinking about geometric shapes and discusses implications for teaching and learning. (KHR)

The measurement and description of polygons and paths by elementary school students was studied from a constructivist point of view. A teaching experiment was devised to promote understanding of length based on the hypothesis that as children coordinate their number concept and their one-dimensional/two-dimensional spatial concepts they gain…

This article describes how children build increasingly abstract knowledge of linear measurement, emphasizing ways they relate space and number. Assessments indicate children struggle to understand measurement, especially concepts related to complex paths as in perimeter tasks. This article draws on developmental accounts of children's knowledge of…

Shortcomings of current curricula for geometry in the elementary school are discussed. The use of the computer programing language Logo to develop geometric ideas is described, with supporting research. (MNS)