Activities with triangular, square, pentagonal, hexagonal, and octagonal numbers are briefly discussed. (MNS)

Provided are some ideas on teaching elementary numerical methods to sixth-form students. Comments are included on the syllabus recently introduced at Advanced Level in Hong Kong. (MNS)

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)

The evolution of Archimedes' method is traced from its geometrical beginning as a means to approximate pi to its modern version as an analytical technique for evaluating inverse circular and hyperbolic functions. It is felt the web of old and new algorithms provides considerable instructional material, and ideas are offered. (MP)

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)

A geometric model used to teach properties of rational numbers to college students is described. (MK)

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)