How to help children develop time telling and other aspects of time sense, such as understanding the language of time, duration and sequence, and the cyclical nature of recurring events, is discussed. Activities are included. (MNS)

The non-Euclidean taxicab geometry is described and contrasted with Euclidean geometry, with examples teachers could use with students. (MNS)

Presents alternative equation-solving procedures that emphasize an examination of the steps or operations necessary to perform a calculation, followed by the inversion of those steps. The approach is especially attractive to students with limited mathematical skills. (Author/MKR)

Archimedes' method for estimating the value of pi is developed and compared with the Gregory-Machin infinite series method. Programs for the TI-81 calculator for finding the upper and lower bounds using the classical method and estimating pi using infinite series are provided.(Author/MKR)

Examines ways to integrate a discussion of lotteries into a lesson on combinatorics and probability to enhance the teaching and learning of number sense. (Author/MKR)

Algebraic and transcendental curves are discussed, with attention focused on computing the area of some special regions bounded by the curves. (MNS)

A random arrangement of two contrasting colors in a 20x20 array is used to facilitate students' understanding of the notions of randomness, independence, and long-run frequency. It can also be used to test some prevalent errors in probabilistic reasoning. Three activities are described. (MNS)

Presents data collection activities for the home, school, and community that encourage students to summarize, interpret, and draw inferences. Four types of activities are discussed: observations, surveys, experiments, and sampling. (Author/MKR)

Presents examples using the context of packaging materials and their impact on the environment to help teachers and teacher educators combine mathematics and science through activities that involve higher order thinking and worthwhile tasks. (Author/MKR)

A way that allows students to discover a strategy for determining the area of rectangles, squares, parallelograms, triangles, and trapezoids is described. Students use grid paper and scissors to determine the number of square units that cover a specified space. (KR)

Simple patterns both in mathematics and music are discussed. Several activities using standard instruments and handmade devices are described. (MNS)

Presents examples of how students can create drawings of sets of lines whose envelopes are parabolas, cardioids, epicycloids, or hypocycloids. Provides students with experience in problem solving, reasoning, communication, and connections between numbers and geometry, between mathematics and art, and between mathematics and other applications.…

The importance of using concrete materials to teach fractions is emphasized. Suggestions for preparing inexpensive sets of such materials are given, with nine activities for their use. (MNS)

An overview is provided of 50 years of research on naive theories in human biology. A set of recommendations aimed at confronting student misconceptions and facilitating conceptual change about the structure and function of the human body is presented, with five lessons described. (MNS)

Imaginative ways of using calculators to explore decimal fractions with secondary school and some middle school students are given. Four explorations on terminating and repeating decimals, the length of periods, and relationships are described. An appendix presents mathematical proofs. (MNS)