A brief survey of the elementary number systems is provided. The natural numbers, integers, rational numbers, real numbers, and complex numbers are discussed; numerals and the use of numbers in measuring are also covered. (DT)

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…

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)

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)

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)

The question of whether the complex numbers can be ordered was investigated. (DT)

"How Students Learn: Mathematics in the Classroom" builds on the discoveries detailed in the best-selling "How People Learn." Now these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. This book shows how to overcome the difficulties in teaching math to…

The minimum number and type of whole-unit weights needed to balance any object is extended to the situation where weights may be placed on both pans of a balance scale. (DT)

Some techniques are given for relating the English system of liquid measure to base two numeration. (DT)