This article describes the journey that one elementary school took in examining the roles and responsibilities of the principal, teachers, students, and school environment in supporting mathematical understanding as described by the NCTM Standards. (Contains 2 tables and a bibliography.)

This study aimed to investigate the comparative value of experimenting with physical manipulatives (PM) in a sequential combination with virtual manipulatives (VM), with the use of PM preceding the use of VM, and of experimenting with PM alone, with respect to changes in students' conceptual understanding in the domain of heat and temperature. A…

Math manipulatives let students see the components of an abstract problem, help build a concrete language for talking about math concepts, and encourage students to gain confidence in their ability to figure things out. Many suggestions for using manipulatives in math instruction are offered. (MT)

This article discusses the rationale for the classroom use of manipulative materials. Selection criteria are presented for the guidance of teachers, together with advice on how and how not to use the materials. (MM)

Describes a system to construct paper models of all 51 of the possible fullerene isomers from C60 through C84. Provides students, teachers, and specialists with an inexpensive mechanism to follow the literature interplay on fullerene structures. (JRH)

Describes ways that students can explore mathematical connections through the travels of Geo-dolls. (Contains 12 references.) (Author)

Uses base-ten manipulative pieces to illustrate divisibility tests with single-digit divisors. (YDS)

Describes a lesson on long division using chip trading which follows that algorithm for long division. (MKR)

Shows how geometric truths can be reinforced by simple exercises with lines and dots. (MKR)

The child's attention, how this attention is reasoned about, and how attention works as a surface for pedagogical intervention are central to understanding modern schooling. This article examines attention as an object of knowledge related to the organization and management of individuals. I address what we might learn about attention by studying…

This study evaluated the relative suitability of a range of base materials for producing tactile maps and diagrams via a new ink-jet process. The visually impaired and sighted participants tactilely scanned arrays of symbols that were printed on seven substrate materials, including paper, plastic, and aluminum. In general, the rougher substrates…

Katrina is 10 years old and has Down syndrome. She is making good progress with learning numbers and mathematics. We describe how Katrina has learned number concepts and arithmetic skills over several years. We highlight the influence of early learning habits, visual supports, motivation and practice, and the uses made of different number…

This Action Research Project is meant to investigate the effects of incorporating research-based instructional strategies into instruction and their subsequent effect on student achievement in the area of problem-solving. The two specific strategies utilized are the integration of manipulatives and increased social interaction on a regular basis.…