This article describes a calculus lesson that illustrates the nature of cycles in simple systems of nonlinear differential equations through the use of the Lotka-Volterra predator-prey model as incorporated in the computer software package, Phaser (version 1.0). (JJK)

An incident light ray parallel to the optical axis of a parabolic mirror will be reflected at the focal point and vice versa. Presents a mathematical proof that uses calculus, algebra, and geometry to prove this reflective property. (MDH)

Small group work has grown in use throughout the 1980s. Reported are six issues that were raised concerning small groups resulting from a series of workshops for university students in which the students worked on problems in groups, jointly planned tasks, and critiquing their use during their practice experience. (MDH)

Presents a series of hands-on activities for grades K-2, 3-4, 5-6, and 6-8 using the common theme of kites to develop number sense in basic operations and fractions. Teachers' guides and worksheets are provided. (MDH)

Presents teaching methods to rectify the tendency of students and even teachers to divide the smaller number into the larger in problem situations requiring division, while recognizing the impossibility of the answer in the situation. (MDH)

Presents activities that relate the Olympic Games to measurement. Includes descriptions of and worksheets for 5 activities involving estimation, nonstandard units of measure, linear measure, and time measurement for grade levels K-2, 2-4, and 5-8. (MDH)

Reports on the differences in two sections of a college course on differential equations. Results on a common examination showed that writing assignments substituted for traditional homework assignments did not improve test performance. However, survey results indicated that students felt the writing assignments, in lieu of additional homework,…

Explores three questions related to the kindergarten mathematics curriculum: (1) How much do young students' limited abilities to process information hamper performance on worksheet tasks? (2) How is mathematics currently taught in kindergarten? and (3) What materials and activities are appropriate for mathematics learning in kindergarten? (MDH)

Presents activities that integrate story telling, history, and problem solving as a stimulus for discussion and creativity in the elementary mathematics classroom, and a way to relieve children's anxiety in an escalating curriculum. (MDH)

Presents activities developed for teacher training courses for the middle school level that integrate mathematics history with the selected topics of number systems, fractions, and geometry. The activities seek to give relevance to history and to motivate and deepen students' understanding of the evolution of mathematical concepts. (MDH)

One college mathematics teacher finds that asking students to write brief essays about their attitudes toward and experiences with mathematics offers insight into student motivation, perceptions and misperceptions, and emotional responses. The essay serves as a communication and motivational tool for both teacher and students. (MSE)

Presents four curricular alternatives and teaching strategies to improve the general-mathematics curriculum. Teaching strategies include reading mathematics, classroom discussion, an interdisciplinary approach, field trips, use of manipulatives, varied assessment methods, cooperative learning, use of technology, and team teaching. (MDH)

Discusses 4 numerical patterns occurring in the decimal expansions of 2 raised to a negative exponent. Includes two row patterns, one diagonal pattern, and a pattern in the sum of the digits of the expansions. Conjectures are presented for each pattern and subsequently proved. (MDH)

Describes a project designed to explore possible ways to exploit the use of home-owned computers. Project efforts produced a collection of 72 worksheets containing a short program that students use interactively to complete the worksheet at home. A trial period describes the method of use, response of the students, and the response of the…

Ability grouping persists because few practical, financially feasible, and politically palatable alternatives have been explored. Built to accommodate a team of 6 teachers and 135 to 150 students, 1 Virginia middle school's parallel block scheduling plan exchanges tracking for a practical method of working with heterogeneous groups of students.…