An interesting comparison of the techniques of geometry and calculus used to solve the same problem. (JP)

Starting from the concept of one-to-one correspondence, an introduction to the different types of infinities is presented. The usual problems concerning the infiniteness of the rational numbers, the real numbers, and the unit interval are given. Several other theorems follow. (LS)

Describes technique in which students are personally involved in acting out and making and manipulating their own sets.'' (Author)

The mathematical skills and competencies necessary for living in contemporary society, for understanding the nature of mathematics as a structural system, and for understanding the role of mathematics in society are listed and discussed. (DT)

How to take advantage of children's everyday activities to introduce basic math concepts.'' (Editor)

The concept that measures fall within intervals is discussed, and suggestions are given for teaching techniques and for student activities emphasizing this concept. (DT)

Outlines a teaching sequence to help students move from finger counting to abstract levels of computation. (Author/SP)

The difficulty of assessing mathematical understanding, some literature and research on the question of measures of understanding, and some examples of items on a test used to measure mathematical understanding are discussed. (DT)