Size and scale are crosscutting ideas integral to scientific understanding. However, research shows that students have little understanding of the size of objects, particularly objects too small to see with the unaided eye. Using a cross-sectional study with 101 middle-school through undergraduate students, a teaching experiment with 24 middle…

Lists six basic principles for building numeracy. Presents variety of activities in four categories of number concepts: spatial relationship, classifying, patterns, and correspondence. Suggests music, movement, and book ideas for each category of activity. Gives directions for making a geoboard and a reusable graph board. (DLH)

The purposes of this study were to: (1) determine the influence of a series of experiences involving the equivalence relation "same length as" and the asymmetric transitive relations "longer than" and "shorter than" on the ability of first and second grade children to classify and seriate objects on the basis of length; (2) investigate the…

Noticing relationships between similar things and developing rules for treating things the same or differently, based on characteristics like color, size, shape, and texture provides the basis of beginning mathematics learning. Based on the view that teachers and parents of young children should provide children with age-appropriate words,…