Presents experimental findings that indicate that some number capacity is present in 22-week old infants, long before the onset of verbal counting. Suggests that verbal counting may have precursors present during infancy. (CS)

Investigated the degree to which early conservation is predicted of later arithmetic achievement by examining the relationship between performance on a conservation task at the beginning of kindergarten and arithmetic achievement towards the end of the second grade. (Author/DB)

Number patterns discovered by third graders are described and discussed. (MK)

Some classroom uses for magic triangles are illustrated and discussed. (MK)

Four worksheets appropriate for various grade levels 1-8 that can be used to provide experience in classifying numbers according to various attributes are given. (MK)

This article elaborates on the following aspects of the role played by the history of mathematics in mathematical education: (1) content of curriculum, (2) standard of rigour, (3) interrelation among topics, (4) understanding of subject matter, (5) cultural viewpoint, and (6) confidence in doing mathematics. (Author/MK)

Magic circles, number puzzles somewhat more complex than magic squares, are described and discussed. (MK)

Outlines some issues in number programing with three- to five-year-old Down's syndrome children as it has developed over the last three years. (MP)

An example is presented that can be used to introduce the study of limits of sequences through recursive formulas yielding square roots. (MP)

A proof is given of the irrationality of the square root of 2 which depends on notions of terminating and repeating decimals. (MP)

A class's struggle with the computer solution of a nontrivial problem is related. The use of algorithms allowed a trial-and-error approach.

Topics discussed include: maximizing the volume of a box, finding different size squares on a geoboard, the angles formed by the hands of a clock, and questions related to three consecutive integers. (MP)

An argument is given for providing children with visual images for number concepts that they can internalize and which can aid understanding of numbers and their relations. (MP)

Topics discussed are: triangular numbers; three proofs of the surface area of a sphere; reverse notation; highest common factors; square roots from a graph; and clock geometry. (MP)

Activities are suggested for setting up a mathematics center for a week or more at a time. The activities relate to weight, counting, puzzles, length, graphing, and ordering. (MP)