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)

An activity is described that is designed to give students a chance to learn about speed by calculating their own running or walking speed and the speed of cars. (MP)

This paper discusses the process of investigating a mathematical situation, making conjectures, formulating an equation, then using mathematical induction to show the result is valid. Several examples appropriate for secondary school level are given. (DT)