Some patterns in prime numbers and their implications for general theorems are presented. Much of the material is taken from "The Strong Law of Small Numbers," an unpublished paper by Richard Kenneth Guy. (MP)

A chart is described which gives children an opportunity to discover prime and composite numbers and which leads to discussions of the associative and commutative laws, multiplication by 1, and powers and exponents. (DT)

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)

The activities presented are all designed to encourage children to learn about the structure of whole numbers by looking at number patterns in various ways. (DT)

An addition "trick," an analysis of why it works, and steps in constructing other problems of the same type from the basis of a discovery learning activity for addition. (DT)

Four worksheets showing how number patterns may be used to give extra practice and insight into the decimal numeration system and the basic properties of arithmetic. (MM)

Describes an activity in which students, grades 7-12, explore patterns and properties of repunits, an integer written as a string of ones. Includes extensions for exploring algebraic justifications. (MKR)

Completing these worksheets leads students to discover patterns in the distribution of even numbers and numbers obtained by successive additions of 9 (primary grades). Worksheets for intermediate grades involve counting the number of factorizations for integers, and addition of the first nine whole numbers. (SD)

Suggests that there is sufficient interest in the changing arrangements of stars in the flag of the United States over the years to introduce a mathematical investigation into the various possible patterns of stars. (Author/JJK)

Worksheets are provided for an activity involving the use of the calculator in discovering patterns when a number is divided by 9, 99, or 999. (DT)

Suggests that by using elementary concepts and arithmetic methods it is possible to find many interesting aspects of mathematics. The activities could be used to allow students to make individual discoveries about mathematics. (PK)

Discusses the distribution of primes and focuses directly on one particular recurring pattern among them. (Author/NB)

This document provides a listing of the revised sequence of mathematics skills to be taught in grades K-6 in the Lancaster (Pennsylvania) School District. For each level the individual skills are grouped into categories, listed in sequence, and cross-referenced to specific pages in three mathematics textbook series. The categories of skills relate…

The author has written an unpublished summary of his reactions to an earlier article on number patterns used to provoke mathematical investigations. His work is an additional demonstration of the potential mathematics that can be stimulated from such investigations. (JP)