We define and describe how subitizing activity develops and relates to early quantifiers in mathematics. Subitizing is the direct perceptual apprehension and identification of the numerosity of a small group of items. Although subitizing is too often a neglected quantifier in educational practice, it has been extensively studied as a critical…

As America's Great City Schools implement the Common Core State Standards (CCSS), they have a unique opportunity to integrate strategies for teaching, intervening, and supporting the nation's urban students in a way that will ensure they have the literacy, numeracy, behavioral, and engagement skills necessary to be successful in college and…

The study compared two methods of teaching an initial place value skill: a concrete, semiconcrete, abstract teaching sequence and an abstract-only presentation. Learning-disabled elementary and middle school students (N=24) using the concrete to abstract teaching sequence performed significantly better on three posttests than students taught the…

Twenty-four children (ages 6-9) with mild mental retardation received individualized instruction with either emphasis on Piagetian concepts or emphasis on verbal and number concepts. Although both groups made significant gains over a year, the children receiving the Piagetian emphasis usually gained more and progressed at almost the rate of…

This study evaluated the generally recommended concrete-to-abstract hierarchy for presenting a new skill, with three students with learning disabilities in grades 1, 2, and 4. The three subjects enrolled in the Multidisciplinary Diagnostic and Training Program's classroom housed on the University of Florida campus in Gainesville. Following…