A narcissistic number is a positive integer equal to the sum of its digits raised to an integral power. For example, 15 is equal to 1-cubed plus 5-cubed plus 3-cubed (a narcissistic number of order three). A computer program to find narcissistic numbers up to 10,000 is given and discussed. (JN)

Having students try to generate their own random numbers can lead to much discovery learning as one tries to create 'patternlessness' from formulas. Developing an equidistribution test and runs test, plus other ideas for generating random numbers, is discussed, with computer programs given. (MNS)

Ignored concepts of numbers, notation, and operation with rational numbers are described. It is proposed that these be taught in the time now devoted to paper-and-pencil skills made obsolete by calculators. (MNS)

This report on mathematics education in Soviet elementary schools was prepared by a writer for the Novosti Press Agency in Moscow. It notes that mathematics is taught by subject specialists beginning in grade 4 and provides details on both curriculum and instructional practices. (MNS)

Methods of finding algebraic expressions to fit number patterns are explored. (DT)

A classroom game is described in which students are asked to guess the rule relating a series of three given numbers. (DT)

Directions are given for games in which students can practice addition, subtraction, multiplication, and division skills. Patterns for spinners to be used in the games are provided. (DT)

A number-word puzzle to be solved by using a calculator is presented. (DT)

An activity is presented which uses the automobile odometer as a means of strengthening pupils' understanding of the addition algorithm with particular emphasis on the concepts of place value and renaming. Directions for three classroom games to be used as supplemental activities also are included. (DT)

These worksheets feature activities concerning fractions. The primary-level activities provide opportunities to develop the concept of a fraction and the intermediate-level activities emphasize computation with fractions. (DT)

The limitations in mathematics learning ability inherent in the logical thinking of elementary and junior high students, and the broad spectrum of activities directly affected by these limitations, are discussed. (DT)

The purpose of this research is to compare the rural education practices of China, Taiwan, Canada and the United States. International comparisons of mathematics achievement find that students in Asian countries outperform those from the USA. Excluded from these studies, however, are students from rural areas in China. This study compares the math…

This book is a guide to the development of mathematical talent in students in grades K through 8. The first chapter is on developing mathematical promise and considers characteristics of students who are mathematically promising, the goals of mathematics instruction, how to find and/or create good problems, models for increasing the numbers and…

In our investigation of preservice secondary teachers' understanding of irrational numbers we focus on how different representations influence participants' responses with respect to irrationality. As a theoretical perspective we use the distinction between transparent and opaque representations, that is, representations that "show"…

This report describes an investigation of how young children respond to two types of tasks: (1) finding one-half of a continuous and a discrete material; and (2) attempting to share continuous and discrete material equally between two dolls. Continuous material, such as string, paper, or liquid, is quantified by adults using measurement units. A…