Observation of patterns constructed on geoboards can lead to discussions of properties of primes, number sequences, and complex numbers. (SD)

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)

Activity questions based on the prime factorization of numbers can be answered by reference to the lattice structure of factors. (SD)

Use of graphs in studying greatest common divisors, least common multiples, and other concepts can illustrate patterns related to the definitions of these concepts. (SD)

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)

An analysis of the rabbit problem reveals some of the fascinating properties of the Fibonacci numbers. (MP)

An algebraic development of the Fibonnaci sequence, appropriate for use in beginning algebra classes, is presented. (SD)

Games and activities, which are fun, practical, and related to the child's world, are presented. Suggestions are given for building skills in estimating lengths, guessing how many, recognizing patterns in counting, multiplying with "waffles," classifying by attributes, and adding and subtracting with special cards, relays, and play…