Educators often use manipulatives when teaching mathematics because manipulatives are assumed to promote learning. However, research indicates that instructional variables impact the effectiveness of manipulatives. In this article, the authors consider the relations between two instructional characteristics: (a) level of instructional guidance and…

How can children's natural perceptuo-motor skills be harnessed for teaching and learning mathematical structure? We address this question in the case of the integers. Existing research suggests that adult mental representations of integers recruit perceptuo-motor functionalities involving symmetry. Building on these findings, we designed a…

Three hundred twenty-six disadvantaged boys and girls in pre-kindergarten and kindergarten were pre- and post-tested in clay sculpturing, drawing and verbal cognitive abilities to determine whether teaching children through a non-verbal art medium, clay, would improve their verbal skills. Assessment instruments were developed. Children were…

Compares and contrasts the approaches to mathematics in Montessori schools and traditional schools. Suggests that in a traditional curriculum, math is studied as a separate subject and isolated discipline, in an abstract format, with the entire group of children moving together through the prescribed curriculum. In contrast, the Montessori school…

A study assessed the effectiveness of three cognitive levels of instruction with first graders--three-dimensional (3-D) instruction using real objects, two-dimensional (2-D) instruction using picture representations, and verbal instruction. The study population included 18 first-grade students between the ages of 6 and 8 at a small elementary city…