An experimental task to determine the effects of materials and transformations on number concept development was administered to 120 educable mentally handicapped children from 8 to 10 years of age and 60 nonretarded kindergarten children. (Author/DB)

This column includes the description of a game involving addition and subtraction of integers represented by colored bricks, a general formula for an enlargement in the Cartesian plane, an analysis of the possibilities for certain games of board Solitaire, and a BASIC program for a recreational mathematics problem. (DT)

A summary with examples of the use of the environment in the teaching of mathematics in British elementary schools. (MM)

This study investigated mathematical behaviors on inequality tasks using two alternative response measures in preschool subjects. (Author)

Four worksheets showing how number patterns may be used to give extra practice and insight into the decimal numeration system and the basic properties of arithmetic. (MM)

Children completed three types of equivalent cardination tasks which assessed the influence of different stimulus configurations (linear, linear-nonlinear, and nonlinear), and density of object spacing. Prior results reported by Siegel, Brainerd, and Gelman and Gallistel were not replicated. Implications for understanding cardination concept…

Exponential growth provides an interesting setting for exploration. A sequence of activities and questions which will help students become better acquainted with large numbers and scientific notation, as well as computer notions, is given. (MNS)

Young children's understanding of correspondences and numerical differences between disjoint sets was studied in three experiments. Findings appeared to restrict the theory that young children are limited to perceptually based forms of mathematical reasoning. (Author/MP)

This exercise in mathematical modelling requires understanding of geometric progressions, inequalities, and absolutes. It presents a problem on credit creation in the banking system. (MNS)

Activities using paper punches are described, dealing with one-to-one correspondence, place value, large numbers, prime and composite numbers, operations, geometric shapes, and measurement. (MNS)

Helping children to bridge the gap between physical materials and symbolic representations is the focus of this article. Examples are drawn from numerical topics, with several hierarchies illustrated. (MNS)