A student noticed an interesting fact about the base two numerals for perfect numbers. Mathematical explanations for some questions are given. (MNS)

Representation of integers in various bases is explored, with a proof. (MNS)

The second of four quins intended to develop computational skills with non-negative rational numbers through applications to business and industry, this guidebook on minimum course content is designed for the student who has acquired basic computational skills with non-negative rational numbers. Overall course goals are specified, a course outline…

The fourth of four quins intended to develop computational skills with non-negative rational numbers through applications to business and industry, this guidebook on minimum course content is designed for the student who has acquired basic computational skills with non-negative rational numbers. Topics include ratio, proportion, and percentage…

A classification of the simple combinatorial configurations which correspond to various cases of distribution and ordering of objects into boxes is given (in French). Concrete descriptions, structured relations, translations, and formalizations are discussed. (MNS)

Exploring the numerical nature of quadratic equations is the focus of this article. Small solutions, the general case, and a detailed analysis are each presented. (MNS)

A study of a class of numbers called 'Good numbers' can provide students with many opportunities for investigation, conjecture, and proof. Definitions and proofs are presented along with suggested questions. (MNS)

The historical origin of star-polygons is noted and the mathematics of them presented, with illustrations. Seven theorems are included, as well as a computer program designed to classify star-polygons. (MNS)

The Euclidean algorithm for finding the greatest common divisor is presented. (MNS)

This course is intended for students who have a thorough knowledge of college preparatory mathematics including algebra, axiomatic geometry, trigonometry, and analytic geometry. It does not assume they have acquired a background of elementary functions. This teacher's guide contains background information, suggested instructional procedures, and…

This course is intended for students who have a thorough knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry, and analytic geometry. This teacher's guide is for Part II of the course. It is designed to follow Part I of the text. The guide contains background information, suggested instructional…

Fractal geometry is explored, with sections on snowflakes and flow snakes, Mandelbrot's definition of fractal, and other fractals. (MNS)

This module is an introduction to traditional mathematics in Africa. A lesson plan is presented which explores the significance of words in the African number systems and compares them to American mathematical systems. Number words in four African languages are given as examples to illustrate base 5, 10, and 20 systems. Some words have been…

This is the Teacher's Commentary for Mathematics for the Elementary School, Book 1 (Part 2), Special Edition. The writers have relied on the existing SMSG kindergarten and first grade materials as a framework. This special edition is designed to meet the needs of disadvantaged children. Included in the Commentary are background information for the…

Two computer programs are given to provide simulations, for any value of n, to keep count of the frequency of the first significant digit. (MNS)