The archaeology of mathematics is discussed by tracing a portion of the research of Otto Neugebauer and Abraham Sacks. Patterns found on an ancient cuneiform tablet are explored. (MK)

The authors briefly review 12 children's counting books and describe how a group of preschoolers reacted to each. (SJL)

A concept of infinity is described which extrapolates the measuring rather than counting aspects of number. Various theorems are proved in detail to show that "false" properties of infinity in a cardinal sense are "true" in a measuring sense. (MP)

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)

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)

A computer program in BASIC is presented, with the underlying algorithm explained, for multiplying any two multi-digit numbers and obtaining an exact answer. (MP)

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)