The strategy of defining operations by generating two-dimensional number sequences is described. (MP)

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)

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)

This article presents some alternative formulae for Chinese-Western conversion of dates. (CHK)

Understanding rational numbers is often an elusive goal in mathematics. Presented is an approach for teaching rational numbers that has been used with many preservice and elementary school teachers. With some adaptation, the approach could be used with secondary school students. (RH)

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…