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 Much of the material is taken from "The Strong Law of Small Numbers," an unpublished paper by Richard Kenneth Guy.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)

Patterns generated by the set of natural or counting numbers are discussed. Included are quartic, odd, square, and triangular numbers. (MK)

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)

This book uses foods as catalysts for learning mathematical concepts. Each hands-on activity in this math center suggests accessible, healthful, and easy-to-prepare foods to be used in school or at home. An introduction to parents and teachers includes supplies list, gobble-up germs poster, and food guide pyramid and serving information. The…

This series of booklets is designed for use by students of ninth grade general mathematics. The units are the result of experimental work done by the General Mathematics Writing Project of the National Council of Teachers of Mathematics. The series treats a variety of topics which are suitable for use with general mathematics students. Each unit…

Points out how figurate numbers (numbers that can be represented by dots on particular geometrical polygonal arrays) can be used to permit upper elementary and secondary students to creatively search for patterns within and among series of figurate numbers. (RH) (RH)

What should constitute a preschool mathematics program for children ages 3 and a half to 5 years? What mathematical ideas could youngsters explore? This paper discusses six broad mathematical concepts for investigation by preschoolers: number, space and location, shape, patterns, measurement, and permutations. For each big idea, activities are…

Discusses the use of middle-school students' natural understanding of large numbers to introduce the concept of infinity. Presents activities that investigate infinite sets by demonstrating a one-to-one correspondence between the counting numbers and the given set. Examples include prime numbers, Fibonacci numbers, fractions, even and odd numbers,…

Pascal's triangle can be used as early as grades five and six to teach children to recognize mathematical patterns. Children can be guided to discover patterns or sequences of numbers if they begin with pictures or physical objects which they can manipulate and count. (Author/BB)

Presents a brief definition and examples of residue designs while sharing some of the algebraic thought that a student used to form generalizations about the patterns discovered during the investigations of residue designs. (ASK)

This article presents a chart to illustrate learning paths for children ages 3 to 6 years and sample teaching strategies in the following areas: (1) number and operations; (2) geometry and spatial sense; (3) measurement; (4) pattern/algebraic thinking; and (5) displaying and analyzing data. (KB)

Four activity workshops are suggested which might be used for several different purposes. The reproducible worksheets address clock patterns, patterns with tides, extending Pythagoras, and fractions extended. (PK)

Challenging problems and project ideas for mathematically able students in grades 5 and 6 are reviewed. Number patterns are viewed as a good tool to introduce inductive and deductive thinking. Applications of mathematics in sales, the stock market, opinion polls, weather prediction, and other areas are discussed. (MP)