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 describes a design research study with ten second-grade students who are part of the Measure Up (MU) research and development project underway at the University of Hawai'i. Students were asked how they counted in multiple bases, specifically how they knew when to go to a new place value and why it was necessary to do so. All ten…

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…

Theorems concerning the probability of the appearance of certain digits in a numeral are stated and proved. (DT)

Research investigating the performance of students in grades 4 through 7 on varying items involving the distributive property is reported; results, showing low performance levels, are analyzed. (DT)

Methods of finding the total number of gifts given in The Twelve Days of Christmas'' are described. (DT)