Sixty kindergarten, first-grade, and second-grade children were required to construct numerically equivalent collections and to determine asymmetric-transitive relations among nonequivalent collections, using two strategies of cardinal number: correspondence and counting. A novel "collinear correspondence" task was also introduced and compared…

Described is the adaptation of the materials of the Kent Mathematics Project for use with mildly retarded students aged 11 to 16. (DB)

A commonly used computer method of pseudo-random number generation is reviewed along with an example of a program that uses this method in one of its subroutines. (MN)

Illustrations are provided which show how some algebraic manipulations done prior to doing calculations can eliminate unnecessary storage of data, reduce the total number of needed steps, and avoid overflow. (MN)

Monsters are used as an example to illustrate that multiplication of the natural numbers is associative. (JT)

Experiments are described in which students listened to messages describing the placements of numbers in imaginable matrices. Recall was tested by having students write in the correct cells of a blank matrix. Results appear consistent with a modified level of processing approach. (Author/RM)

An imaginary journey to Planet Seven is used to introduce the concept of number systems not based on ten. Activities include making a base 7 chart, performing base 7 addition and subtraction, designing Planet Seven currency, and developing other base systems for other planets. (MT)

Describes some square-number patterns that fourth-grade students and their teacher discovered. These discoveries began as students pushed wooden cubes together to make square arrangements. (JN)

This article investigates the algebraic structure formed when the process of finding the greatest common divisor and the least common multiple are considered as binary operations on selected subsets of positive integers. (DT)

President Garfield's life is reviewed, and his proof of the Pythagorean theorem is presented. (DT)

Some simple problems are studied with an emphasis on the questions of accuracy and error. (DT)

The system of Gaussian integers is explained, and a new set of integers is derived. (DT)

This paper documents a study concerned with examining the affective response to mathematics among 45 primary school students. The study sought to examine how the children's emerging beliefs, attitudes and feelings about mathematics impacted on their learning of the subject. A particular finding was that these beliefs, attitudes and feelings were…

This textbook is an introductory mathematics course. It is a treatise of arithmetic, containing all the practical parts thereof; both in whole numbers, vulgar fractions, and decimals; likewise the theory of numbers, and their principal properties, demonstrated in a plain and easy manner.

This arithmetic textbook uses small concrete numbers to lead pupils to understanding numbers' properties and relations. This work is intended as a connecting link between the Primary and Written Arithmetics of the Author. It presents a mental analysis of Arithmetic adapted to the younger pupils by its easy gradations, and to advanced pupils by its…