Portion of the chapter on Numerals" from author's forthcoming book on Japanese and the Other Altaic Languages". Paper delivered at the March 1969 meeting of the Association for Asian Studies on The Periphery of the Japanese Language". (DS)

Presents three algorithms for changing decimal fractions to basic five (quinary) fractions, or for any base to "b-ary fractions. (RP)

The author argues that the idea of canonical elements provides a coherent relationship between equivalence relations, the basis of modern approaches to too many mathematical topics, and the traditional aspect of computation. Examples of equivalent relations, canonical elements, and their calculations are given. (MK)

The historical development of the integers, the rationals, the reals, and the complex numbers is traced. (MK)

An argument is made against the use of the metric system as the sole system of measurement since computers use a hexadecimal system. (MP)

Discusses mastery goals and developmental levels of students aged 3-7 for learning numbers in informal situations. (KHR)

Demonstrates how to use graphing calculators to explore rational number approximations to irrational numbers. (Author/NB)

Describes the kinds of computational abilities achieved by a class of 4th grade students who were part of a research program for teaching rational numbers. In this program, students build on intuitive understandings of percents and proportions for the development of overall understanding of the number system and are encouraged to invent their own…

Discusses the history of different methods of representing numbers and how these representations facilitated counting and computing devices such as the abacus. (MDH)

The author describes an introduction to, and development of, the complex number field. (SD)