Describes a pattern which emerged from an examination of the digits of the squares of numbers. Provides eight examples having the pattern at the units or tens digit of the number. (YP)

A method of identification of pigs used by farmers is described as an application of a base three numeration system. (MP)

Discusses figurate number learning activities using patterns and manipulative models. Provides examples of square numbers, triangular numbers, pentagonal numbers, hexagonal numbers, and oblong numbers. (YP)

The first four chapters of a 14-chapter, three-volume work on arithmetical applications are contained in this document. Each chapter details the "use classes" of one broad arithmetical concept. (A "use class" of a concept is a set of examples of real world uses of the concept which share a common structure). Each chapter…

More work with fractions needs to be done in the elementary school, with emphasis on concepts rather than computational algorithms. (MP)

This document presents activities for use by middle school teachers which show how rational numbers and proportions are present in many real-world situations, including the collection and analysis of fractions, ratios, percents, and proportions, as well as rational number connections with geometry and similarity. The activities are divided into…

Employs statistical tools to determine whether the digits of Pi are pseudorandom. Discusses the difficulties in answering this question. (Author/NB)

Uses a counting book to discuss how primary-age students can begin to think about a meaning for the equals sign. Mathematical representations emerge from discussions between teacher and student. (Author/NB)

Investigates 2nd and 3rd grade students' estimation of distances traveled during the summer. Uses concepts from measurement, approximation, number sense, and organizing and interpreting information. (KHR)

Several schemes use modular arithmetic to append a check digit to product identification numbers for error detection. Some schemes are discussed, including ones for money orders and library books. Then a foolproof method is presented. (MNS)

Discusses the changing perceptions of numeracy in a changing world, and puts forward arguments for integrating calculator use into the earliest school years. (Author/ASK)

Introduces RSA, one of the most popular public-key cryptosystems that is used to protect the privacy of computer users. Describes the mathematical foundation of public key cryptography. (KHR)

Presents a mathematics game appropriate for middle school or high school students that aids in the teaching and understanding of closure properties. (Author/NB)

Presents five teaching ideas which incorporate ideas related to baseball. Includes student worksheets. (MKR)

Problems set in the real world help students see the relevance of mathematics. Topics that provide sources of real problems are discussed, with examples: mazes, packing, and networks. (MNS)