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)

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

In a thesis written for the Doctor of Arts in Mathematics, the connection between Euclid's algorithm and continued fractions is developed and extended to n dimensions. Applications to computer sciences are noted. (SD)

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

The title of this mathematics text for preservice elementary teachers is intended to suggest the book's theme of mathematics as an abstraction from human experience with sticks (lines, segments), stones (sets, counting) and other objects. An introductory chapter which describes the objectives of the author and discusses learning and attitudes…

College students, in three experiments, learned to recite a counting pattern in the base three number system. Although all subjects learned to a criterion of two errorless trials, learning with different rule systems resulted in different levels of understanding and performance on transfer tasks. (GDC)

Difficulties that entering college freshmen showed on a mathematics assessment test are discussed. More students can perform decimal computation than can order decimals. The concept of equivalent decimals should be taught more carefully at every level. (MNS)

This unit is 1 of 12 developed for the university classroom portion of the Mathematics-Methods Program (MMP), created by the Indiana University Mathematics Education Development Center (MEDC) as an innovative program for the mathematics training of prospective elementary school teachers (PSTs). Each unit is written in an activity format that…