Subtractive magic triangles are discussed and questions raised for exploration with mathematics classes. Answers are also included. (MNS)

The relation between the area of a rectangle and its perimeter is clarified by looking at patterns. Several examples involving rectangles with integral sides are presented. (MNS)

Teaching suggestions for graphing the function y=sin 1/x and the greatest integer function are given. (MK)

Main objectives were to clarify the notion of numeration, to clarify understanding the concept, to develop a framework to evaluate understanding and teach numeration, and to single out children's main difficulties associated with this concept. Striking similarities between processes involved in numeration and measure were found. (MP)

Problems are discussed in which addition facts are presented using words instead of numbers. The letters are then replaced by numbers that will make the addition problems correct. (MP)

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)

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)