Children's thinking follows natural developmental paths in learning math. When teachers understand those paths and offer activities based on children's progress along them, they build developmentally appropriate math environments. The authors explain math learning trajectories and why teaching math using the trajectories approach is effective. A…

Because disadvantaged children have usually experienced sensory-cognitive deprivation or distortion, it is necessary to discover ways to offset this deficit. A program is being conducted to learn to what degree the introduction of systematic programing, while motivation techniques are retained, can reorient essentially noncognitive learning styles…

This article describes the modifications that 12 early childhood educators in Japan made to the Sorry! board game to encourage kindergartners' logico-mathematical thinking. Logico-mathematical knowledge is described as including classification, seriation, numerical relationships, spatial relationships, and temporal relationships. Examples of seven…

Uses four children's explanations to illustrate their use of assimilation and inference in a butterfly life-cycle activity. Describes how interviewing young children about their understanding, and recording and reflecting upon their answers, can allow teachers to better understand how students process information and construct knowledge, and…

Reviews selected research on children's early formation of categories. Finds sophistication in how children group objects and think about those groupings. Notes findings related to type of grouping (thematic or taxonomic), multiple classifications, overgeneralization, the role of background knowledge on classification abilities, the…