Discusses the life and artwork of Roger Brown and describes the imagery and content of his work entitled "Celebration of the Uncultivated -- A Garden of the World." Provides a reprint of the painting and activities in visual and language arts, the social science, natural science, and geometry. (CMK)

Illustrates the importance of helping students explore and discover topics in geometry and shows how students who use Geometer's Sketchpad, a powerful computer drawing program, develop a better understanding of geometry. Describes several activities that use the technology to help students discover a wide range of geometric relationships. (AEF)

This article discusses the importance of measurement in providing a foundation for mathematical study and how measurement can be integrated with other mathematical strands. (Contains 1 table.)

This article describes activities for developing an understanding of a formula for calculating the volume of a rectangular prism. The core activity concerns determining the volume of water in a backyard skating rink. (Contains 4 figures.)

This article describes an investigation involving several designs of airplane wings in trial flight simulations based on a NASA CONNECT program. Students' experiences with data collection and interpretation are highlighted. (Contains 5 figures.)

This article showcases four Shel Silverstein works and how they can be used to launch mathematics investigations across the curriculum. Each selection focused on a different mathematical strand; for example, a poem titled "Where the Sidewalk Ends" demonstrates measurement and proportional reasoning, and another poem, "Falling Up," demonstrates…

This article describes an activity in measurement and geometry in which sixth-grade students explore the volume and surface area of a donut. Through calculation, creative thinking, and discovery, the students enhanced their geometric vocabulary and reasoning. (Contains 9 figures.)

The recent development of powerful new technologies such as dynamic geometry software (DGS) with drag capability has made possible the continuous variation of geometric configurations and allows one to quickly and easily investigate whether particular conjectures are true or not. Because of the inductive nature of the DGS, the…

A major goal of mathematics teaching is the involvement of students in the personal process of discovering mathematical ideas and formulating problems. The process of an inductive leap followed by a deductive argument is used in mathematics courses at Phillips Exeter Academy (New Hampshire). Mathematical problems are presented in which the givens…

Discussion of Logo use to teach children computer programing covers the educational theory behind Logo, how it differs from other programing languages, its educational promise, its graphics capabilities, Logo research, and different versions available. It is argued that educational computing will succeed only if it provides new ways of teaching.…

Describes an Apple computer program (listing available from author) which simulates Fraunhofer and Fresnel diffraction using vector addition techniques (vector chaining) and allows user to experiment with different shaped multiple apertures. Graphics output include vector resultants, phase difference, diffraction patterns, and the Cornu spiral…

Based on research showing that successful completion of high school algebra and geometry is a predictor of Scholastic Assessment Test (SAT) success, the Equity 2000 Program encourages school systems to steer minority children into higher-level math courses. Maryland's Prince George's County is one of the program's demonstration projects, showing…

Describes how three dimensional LOGO was used in a workshop session for secondary pupils and mathematics teachers. Provides many commands and output drawings. (YP)

Discusses the use of computers in undergraduate mathematics. Highlights include external software, including spreadsheets and theorem provers; computer generated assessment; multimedia software; computer programming languages; geometric visualization tools; computer algebra systems; and examples from the United States, the United Kingdom, and…

Engineering design graphics education has come a long way in the past two decades. The emergence of solid geometric modeling technology has become the focal point for the graphical development of engineering design ideas. The main attraction of this 3-D modeling approach is the downstream application of the data base to analysis and…