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)

Describes several activities to provide opportunity for the discovery of number patterns and shows the need for care in the descriptions of such patterns. (Author)

Describes four activities designed to discover numerical patterns using a calculator or paper and pencil. Provides tables and figures for the activities. (YP)

Presents two practice-discovery activities to furnish computational review in a nonroutine setting. Provides a worksheet for the activities. (YP)

Practice on computation is provided using new and novel situations, with discovery of number patterns a bonus of the computation. Activities with disguised addition and multiplication tables for whole numbers and integers are presented for varying levels. (MNS)

The problem of determining the number of squares on a checkerboard is extended to finding the number of rectangles on an n x n board and finding the total numbers of cubes and rectangular solids in an n x n x n cube. (DT)

Patterns emerging when two-digit numbers in various bases are operated on by squaring and summing the digits. (SD)

Three activities and patterns involving the addition table are described, each involving pentagons. (MNS)

This pamphlet includes many non-routine mathematical activities for the commonly used addition, multiplication, and subtraction tables and the Hundred Square. The included activities avoid routine, and often boring, drill problems. This publication provides non-routine practice for the maintenance of computational skills and the discovery of…