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)

The Cockcroft Report on English Schools recommends that all schools design their syllabuses and examinations on the assumption that all students will have access to calculators. How to use calculators sensibly to improve what is taught and how curriculum content may change are discussed. (MNS)

Computational skills in multiplication and division are reinforced and practice is provided on these worksheets on estimating, finding factors, and determining divisibility. (MNS)

Developmental differences in reasoning ability and item processing demands are analyzed in a study of cognitive determinants of number analogy performance in two IQ levels of elementary school children and college students. The amount of solution-related information in working memory was the crucial processing demand. Process differentiations of…

To help mathematics teachers introduce and reinforce concepts and processes by using relevant problems, several such problems are presented and discussed. (MNS)