Outlines a geometry task that uses computers to transform some quadrilaterals into other quadrilaterals. (ASK)

Discusses some aspects of learning to read the process of the variation in congruence and relate it to the original geometry of the sphere since it touches on more general questions about how models are appropriated and used. Presents a learning episode that implemented projective models for both spherical and hyperbolic geometry in Object Logo.…

The capacity of the "Geometer's Sketchpad" to trace the path of points by drawing the position of the point at different times provides a powerful tool to help see how velocities are related. Provides a snapshot of the process, along with the traces. (Author/ASK)

This paper illustrates how to teach parallel perspective using Cabri software. Examples include how to move/present cubes, how to use symmetry to draw a star from triangles, how to modify tessellations, and how to present circles by Cabri software. (Author/KHR)

This study investigated the actual learning processes of two preservice teachers as they explored geometry problems with dynamic geometry software and the effects of using the software on developing their mathematical reasoning and proof abilities. A constructivist teaching experiment was designed and implemented for the investigation. Through…

The question "What shape will have the largest area for a given perimeter?" identifies an important relationship between area and perimeter that has long been intuitively realized in many cultures. Historically, numerous cultures have made use of this relationship between area and perimeter when struggling to build dwellings with shapes…

Attempts to lay the groundwork for a study of curves produced as loci using dynamic geometry. Provides some sketches of ways Cabri may be used to enhance the teaching of geometry with particular reference to synthetic plane Euclidean geometry, locus, and the conics. (Contains 26 references.) (ASK)

This paper reports on a series of four studies carried out over a period of four years. These related studies were clinical and qualitative as they investigated middle and high school students' development of geometric thought, particularly as it related to three- dimensional visualization. The studies were carried out in the constructivist…

This paper introduces a teaching unit on using spiral symmetry in a geometry course for secondary education majors. The TI-92 graphing calculator is used to exploit the exponential function to analyze the geometric topic of similarity and to study the derivative of spirals. The paper provides some procedures and programs to generate spirals using…

Explores useful ways of teaching the volume of pyramids using cubic blocks and spreadsheets. Presents a lesson plan with teaching suggestions. (KHR)

Extends a counting activity described in the April 1997 issue of "The Mathematics Teacher" entitled, "The Pyramid Question: A Problem Solving Adventure." In this activity, students must find all triangles with positive integral sides and a perimeter of 36. Considers triangles with perimeters other than 36 for this activity and…

Presents interactive parabolas created from straight segments using a dynamic geometry software and its web component. (Author/KHR)

Describes the maximum-volume-box problem designed to lead students to a deeper understanding of the problem and its solution. Uses the Geometer's Sketchpad as a learning tool. Illustrates some examples of constructing and using the sketch. (KHR)

Describes how to draw lines in centimeter units on a computer monitor with the Logo program. Presents four activities involving drawing geometric shapes. Provides a program to move a turtle slowly. (YP)

Describes the angles-of-a-star problem designed to find the sums of the measures of the angles at the vertices of a five-pointed star. Shows that a good problem may have many correct solutions. (KHR)