This history of binary arithmetic begins with details of Thomas Hariot's contribution and includes specific references to Hariot's manuscripts kept at the British Museum. A binary code developed by Sir Francis Bacon is discussed. Briefly mentioned are contributions to binary arithmetic made by Leibniz, Fontenelle, Gauss, Euler, Benzout, Barlow,…

This is the first volume of a series produced by the State Education Department of the University of the State of New York. Mathematics objectives and sample items included were originally developed by four local school districts and are not intended to be official or comprehensive, but an aid to teachers in constructing curricula and making…

This study investigated three factors associated with third grade children's ability to solve open sentences of the types N + a = b, a + N = b, a - N = b, and N - a = b, where a and b are given whole numbers and N is to be found. Two factors were: (1) the size of the numbers a and b; and (2) the context of the sentence, whether presented alone or…

The design, results, and conclusions of a study to determine the feasibility of interrelating the four basic operations with young children are reported along with implications for curriculum and instruction. (MP)

This game involves one player guessing the numbers and operations of an equation written down by another player. (MP)

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

Complex numbers and trigonometry are used to prove that a given constructed line is equal to the length of one side of a regular pentagon inscribed in a unit circle. (MP)

It is shown that a unit segment can be constructed from a given line segment of length the square root of x if x is a surd. (MP)

A test for divisibility by any prime number is discussed and its proof is given. (MP)

Binomial coefficients are used to prove two conjectures concerning the partitioning of an N-dimensional space. (MP)

The examination by students of the associative property of a binary operation is used to illustrate how students can be involved in mathematical discovery. (MP)

The generation by computers of random numbers is discussed. A BASIC program is given that will generate a set of normally-distributed random numbers. (MP)

The article describes use of the number line to teach special education students money skills. (CL)

One possible way of looking at the limit concept, from the learner's point of view, is proposed; it can easily be built up gradually with little risk of conscious or subconscious conflicts of concepts perceived to be closely related. (MN)

A theory on the origin of Roman numerals proposes that the principal numbers can be stylized in terms of a square. It is speculated that the abacus or its equivalents, such as the counter or chequer-board, was used to count before the alphabet became common. (SW)