An activity is presented that involves an unusual multiplicative operation on natural numbers. Described are interesting properties that students may discover when using the new operation. (JP)

Outlines a guided discovery activity for ascertaining the conditions which allow for the correct tracing of networks. (JP)

Suggested are investigations for junior and senior high school students that may lead to discoveries and at the same time provide a variety of practice in computing with fractions. (JP)

A formula comparable to Pick's formula for area of a polygonal region on a geoboard is presented for the situation in which the standard unit is an equilateral triangle instead of a square. (JP)

This article describes "Math Their Way" techniques for experiential learning of math concepts by deaf children. Finding, comparing, and creating patterns are emphasized at conceptual, connecting, and symbolic levels. Graphing, counting, and measuring exercises are described, as well as ways to steer free time and exploratory learning toward math…

Cones as containers and envelopes are discussed with appropriate activities for middle grade children provided. (MP)

Presented are a series of conjectures and proofs resulting from an examination of patterns and relationships among natural numbers. (JP)

Four specific problems are presented, discussed, and extended to illustrate how diverse instructional strategies, materials, and resources can be used to develop problem-solving skills. (MP)

Number sequences are useful complements to traditional drill and practice. Described is an activity in which the basic rule, add the tens digit to five times the ones digit, is used to generate a sequence of numbers. The dialogue between teacher and student discussing characteristics of emerging patterns is given. (MDH)

A lesson for secondary mathematics pupils on prime numbers designed to capture student interest is presented. The emphasis is on developing lessons that act as motivating forces in the classroom. (MP)

Illustrated are the discovery and verification of new patterns in Pascal's Triangle. Discovery activities appropriate for students when they are learning to expand binomials are provided. (JP)

Abstract ideas in linear algebra are illustrated at different levels of difficulty through the investigation of the solution to a well-known puzzle. Matrices are used to model the puzzle and the concepts of rank, underdetermined systems, and consistency are employed in the solution to the problem. (MDH)