Presents activities to help students develop the notion of geometric congruence and similarity in a hands-on environment. (ASK)

Discusses the interconnection among the various modes of the TI-92 calculator (geometry, data graphing, function graphing, and algebra) and how the power of visualization is extended to provide multiple approaches to complex problem situations. Provides a graphing problem with illustrations and results. (AIM)

Describes a study of third-grade students (N=38) that investigates the development of linear measurement concepts. Three levels of strategies were identified: visual guessing, hash marks, and no physical partitioning. Students who connected numeric and spatial representations proved to be the better problem solvers. Contains 22 reference. (DDR)

Based on a college-level geometry course, presents practical suggestions for integrating exploratory computer applications into the mathematics classroom. Reveals that students need more experimental time with technology to reduce anxiety, and assessments need to be developed and implemented to tap the outcomes of problem solving and higher level…

Presents to second graders the concept of an n-gon, characterized by a commutative diagram which is composed of four ways of judging a given figure. Observes that some children gave persuading arguments containing a critical idea and the concept formation corresponding to a structure-preserved transformation in the diagram. (AIM)

Describes an activity in which geometry and trigonometry are studied using pyramids. Identical model pyramids are constructed from card stock, along with pyramids of different proportions and cuboids to use as controls. Also includes an investigation of some apparently non-scientific claims. (DDR)

Features articles about physical therapy and its history as related to geometry through measurement of body angles. Includes open-ended worksheets for mathematics activities that introduce students to angle measurement, data analysis, and mathematical tools. Activities include: (1) Making Your Own Goniometer; (2) Range of Motion; (3) Active versus…

Presents two ancient problems, trisecting any angle and dividing a circle into any number of equal parts. Illustrates how to use these problems to prompt students to think broadly and creatively about problems instead of letting the apparent boundaries of the problem limit their thoughts. Combines three-dimensional solutions to the problems to…

Describes an engaging project in which students have to design and construct a three-dimensional candy box that would appeal to children. Requires students to make the box out of prisms, pyramids, or cylinders, determine the surface area and volume of the solids, and write a persuasive business letter. (YDS)

Investigates uses of interactive geometry software to enhance students' understanding and reasoning about two-dimensional shapes. Describes basic principles that underlie high-quality geometry instruction. Presents examples that illustrate how appropriate use of dynamic software can enhance students' geometric reasoning. (KHR)

Describes episodes from work with a small group of 8th grade students who were working independently on a geometry course. Uses Geometer's Sketchpad for the tasks. Discusses students' reasoning skills and their interpretation of the painting in terms of the mathematical properties and relationships. (KHR)

Discussion of the use of intelligent tutoring systems (ITSs) highlights the role of the teacher. Experiences at Gallaudet University with the Geometry Proof Tutor (GPT) are related, future expectations for ITSs are suggested, and an ideal intelligent instructional system is proposed that considers the social nature of education. (13 references)…

Included are four learning activities that focus on using and interpreting data as a basis for integrating mathematics, science, and sports. Each activity includes grade level, objectives, materials, directions, answers to questions, extensions, and reproducible handouts. (KR)

Presented are two exercises on the differential geometry of curves. A generalization dealing with smoothness conditions is given that relates the two exercises. Included are the definitions, theorems, propositions, and proofs. (KR)

Explored is an overdetermined system of linear equations to find an appropriate least squares solution. A geometrical interpretation of this solution is given. Included is a least squares point discussion. (KR)