This report focuses on prospective secondary mathematics teachers' understanding of irrational numbers. Various dimensions of participants' knowledge regarding the relation between the two sets, rational and irrational, are examined. Three issues are addressed: richness and density of numbers, the fitting of rational and irrational numbers on the…

Presents a system for quick conversion of Chinese cyclical-binary dates to western year dates. (CHK)

All the familiar numbers (rationals, algebraic numbers and a few transcendental numbers) have measure zero. (MM)

Different representations of rational numbers are considered and students are lead through activities that explore patterns in base ten and other bases. With this students are encouraged to solve problems and investigate situations designed to foster flexible thinking about rational numbers.

This programed mathematics textbook is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on…

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)

"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 author shows how changing the restriction context of "Fermat's Last Theorem" alters the statement of impossibility. (MN)

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)