The mathematicians who developed the computer-aided proof to the Four-Color Conjecture discuss the ramifications of their work and the use of computers in working on the proof of theorems in the future. (MP)

Argues that fractions should still be taught, even though they have been replaced by decimals in most real-world applications. (SJL)

Thirty mildly retarded children (mean age 9 years) participated in a study in which 24 of the children were trained to a prespecified criterion on one of three logical operations tasks involving length: identity conservation, equivalence conservation, or transitivity. (Author)

This paper demonstrates how calculators may be used to motivate a concept called infinite composition of functions. Several mathematical topics, such as continued square roots, continued fractions, and infinite products are treated and discussed as special cases. (Author/MK)

Presented is an example meant to enable students with a scant mathematical education to grasp the meaning of the limit of the binomial distribution. (Author/TG)

The historical development of the integers, the rationals, the reals, and the complex numbers is traced. (MK)

A model is offered for evaluating student attainment of mathematical concepts. The use of this model by teachers and researchers is discussed. (DT)

Presents an activity that illustrates how data stored in a matrix or list can be plotted as a graph in the parameter plotting mode on graphic calculators. (ASK)

Suggests a theoretical framework to address some phenomena of mathematical behavior. Defines the terms "pseudo-conceptual" and "pseudo-analytical" and analyzes examples from classrooms, exams, and homework within the framework. (Author/AIM)

Identifies seven new axes (or dimensions) of variation in mathematics education analogous to the formal-informal and instructionist-constructivist dimensions. (AIM)

This investigation designed for grades three through six centers on the relationship between area and perimeter when solving a problem related to designing a garden. Goals include using area and perimeter in an authentic situation, generating hypotheses, and exploring congruence. (AIM)

Reports a study of mathematical interactions and developing attitudes of children in transition from preschool to school. Two episodes of construction play were analyzed to suggest a model of autonomous learning. Access to self-regulatory social relations was closely linked to accessibility of mathematical meanings. Contains 59 references. (FDR)

Examines 199 middle school students' understanding of percent, focusing on number sense. Reports that students performed better interpreting a quantity expressed as a percent given a pictorial continuous region than when a pictorial discrete set of circles was given. Students had difficulty interpreting a quantity expressed as a percent of a…

Describes an experimental approach to determining the speed of light in water using some simple observations and Fermat's principle. Enables students to integrate mathematical techniques and encourages mathematical exploration in which the students have control over what mathematics and technology to use and when to use them. Presents extensions…

Presents responses to a problem that appeared in the May 2000 issue. The problem was to determine different ways to divide 8 cookies between 3 people. Includes student work from grades 1, 3, and 5. (KHR)