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)

Worksheets are provided which use basic geometric forms as a vehicle for student discovery of efficient counting procedures and of counting patterns. (DT)

Some patterns resulting from certain operations on numbers are discussed, analyzed, and explained. A method for predicting the outcome of these operations for any number is developed.

Patterns and relationships found in the multiplication table of the numbers zero through nine are discussed as a means to helping students understand certain concepts. (MP)

Playing with number patterns can lead students to discover some divisibility tests. (JT)

Patterns in an array of numerals are analyzed; suggestions are given for guided discovery activities leading to a discussion of the properties of identity, closure, commutativity, inverses, and associativity. (DT)

Suggested activities involving number patterns, using the idea of a number machine." (MM)

Presented is an example of how a child adopted an incorrect method for solution to arithmetic sentences. Methods for detecting and correcting this behavior are discussed. (JP)

The construction of Islamic patterns is outlined as a product of two processes--building up more and more complex grids, followed by taking lines away. (MP)

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)

Evaluated was grade 6 of a televised arithmetic program, "Patterns in Arithmetic." The major goal was to determine whether or not the technique of item-sampling could be incorporated into a design effective for formative curriculum evaluation. Approximately 60 classes near Madison, Wisconsin, participated in the study. Tests were administered at…

Properties of a given array of numbers are discussed and some sample activity cards involving discovery of number patterns are presented. (MP)

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)