Discussed are the geometric patterns formed when two geometric patterns are superimposed. General moire fringes, circular and line gratings, physical applications, and projects for students are described. (CW)

Discusses how different meanings can be given to the proof at different levels and branches of mathematics education. (ASK)

Rich and stimulating instruction in geometry can be provided through playful activities with mosaics such as pattern blocks or design tiles. Presents an intriguing mosaic puzzle to describe activities at various developmental levels and how the activities can help develop children's geometric thinking. (ASK)

Presents interesting activities to develop mental imagery and the ability to transform these images. Concludes that using images facilitates mathematical thought in numerical and geometric settings. (ASK)

Compares students of average ability in three high school geometry classes that utilized computer software in varying amounts. Reports that using computer software may not be beneficial when teaching certain topics in geometry and that using computer software did improve student interest and participation. Contains 13 references. (Author/ASK)

Examines why Chinese undergraduates perform better on an eight-item water-level task (WLT) than do U.S. undergraduates. Results suggest that the combined effect of writing Chinese characters and strong mathematical training in geometry contributes significantly to skills necessary to master the WLT. (MMU)

Presents an activity that integrates biology and mathematics. Involves students in actual biological research and uses geometry, statistics, and computers to interpret data about the leaves of a tree. (ASK)

Examines solution strategies used by elementary preservice teachers to find the perimeter and area of a shaded geometric figure. Investigates inadequacies in the mathematical backgrounds of these students as well as curriculum changes to make in teacher education programs. (Author/CCM)

Presents an activity using fractal cards--eye-catching pop-up cards--by applying simple iterative processes to single sheets of paper. This activity incorporates the concepts of measurement, number systems, sequences, series, limits, recursion, iteration, self-similarity, and fractional dimensions. Contains 12 references. (ASK)

Presents an activity for eighth-grade students and beyond to explore relationships between and among the areas of various polygons. Emphasizes that students should be given the opportunity to design their own examples. (ASK)

Discusses a project focusing on icosahedrons that combines geometry, structure, graphic design, animation, motion, and mechanical and freehand drawing with ancient Greek catapult mechanics. Includes directions on how to both construct a template and develop the pattern for the icosahedrons. (CMK)

Reviews research describing computer functions of construction-oriented computer environments and evaluates their contributions to students' learning of geometry. Topics discussed include constructing geometric concepts; the use of LOGO in elementary school mathematics; software that focuses on geometric construction; and implications for the…

Reviews the evolution of the educational computer software "Geometer's Sketchpad" and its history. The features of the software invite exploration and play and enable users to sense their own role in shaping and crafting their understanding of mathematics. (ASK)

Reports on a case study investigating how secondary preservice mathematics teachers perceive the need for and the benefits of formal proof when given geometric tasks in the context of dynamic geometry software. Results indicate that preservice teachers are concerned that after using dynamic software, high school students will not see the need for…

Presents activities that combine astronomy problems with algebra, geometry, trigonometry, data analysis, and physics. Provides experiences for students in making distance measurements themselves by using the method of parallax. (ASK)