Negative numbers extend our number line and greatly simplify our calculations, but sometimes students struggle with the concepts. These fun activities will help kids to make sense of the "other half" of our number system.

An attempt to introduce subtraction of negative integers early in the secondary school curriculum is described. The attempt was not successful, and several aspects of the experiment are discussed. (SD)

Illustrates how a number system in a foreign language can be taught and learned in a cultural context. (PMP)

A discussion of early Egyptian hieroglyphic numeration and calculation is presented. (SD)

The arithmetic needed for complex calculation using an electronic calculator is explained and exemplified. Problems involving square roots, number theory, Fibonacci numbers, and electrical resistances are solved. (SD)

This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include real numbers, similar triangles, variation, non-metric…

This is part two of a three-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to exercises, and suggested test questions. Chapter topics include quadratic equations, the complex number system, equations of the second degree, and systems of first degree equations. (MP)

Reports on the development of a course in modern mathematics for elementary school teachers. The subject matter for the course is concentrated on whole numbers, integers, and rational numbers. Ideas of logic and set theory are brought into the discussion incidently as needed for developing the number systems. Part 1 of the course is a brief essay…

The teacher's guide for the third unit of this SMSG series covers the two chapters on number theory and on the integers. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral objectives are stated, and a time…

Children enjoy playing a game based on addition module seven. The system can be applied to questions concerning the days of a week. (SD)

An approach close to the original Greek geometric point of view regarding the question and proof of the irrationality of the square root of two is given. (MN)

This article gives two methods of resolving natural numbers into prime factors. Depending upon the number that is being resolved, one method may be better to use than the other. However, it is difficult to tell beforehand which is the better method to employ. Examples are given. (Author/MA)

Part two of an article discussing the selection and use of instructional materials for teaching the metric system to both children and adults. (JH)

As an aid to students of Russian, two general rules concerning numerals are suggested: rule of the genitive case and rule of the case of "enumerated object." These rules, together with five secondary rules and corresponding declension forms, define the numeral system. (Text is in Russian.) (SK)