We present a geometrical investigation of the process of creating an infinite sequence of triangles inscribed in a circle, whose areas, perimeters and lengths of radii of the inscribed circles tend to a limit in a monotonous manner. First, using geometrical software, we investigate four theorems that represent interesting geometrical properties,…

This paper concerns teaching Euclidean geometry at the university level. It is based on the authors' personal experience. It describes a sequence of learning activities that combine geometrical constructions with explorations, observations, and explanations of facts related to the geometry of triangle. Within this approach, a discussion of the…

A teacher's belief plays a significant role in the quality of teaching mathematics. In a fictive way, the researcher changed his role from a researcher to a research participant in an imaginative interview. His interior other (David) interviewed him as a researcher. A single interview session was held lasting for about three hours. The…

We present a sequence of classroom activities on Euclidean geometry, both plane and space geometry, used to make three dimensional geometry more catchy and simple. The activity consists of a guided research activity that leads the students to discover unexpected properties of two apparently distant geometrical entities, quadrilaterals and…

The paper presents a case study of the educational exploitation of group blogging for the implementation of a "learning by design" activity. More specifically, a group of students used a blog as a communication and information management tool in the University course of ICT-enhanced Geometry learning activities. The analysis of the designed…

Activities designed to help mathematics teachers integrate information technology into lessons. Activities are based on using the software package !Draw. (MKR)

Describes a method of effectively introducing the concept of radian measure that uses Cabri Geometry II software to construct a circle of arbitrary radius and to measure that radius. The goal is to determine how many of these radii fit around a circle. (DDR)

An activity that shows how mathematics can be used to model events in the real world is described. A way to calculate the area of the sun covered by the moon during a partial eclipse is presented. A computer program that will determine the coverage percentage is also included. (KR)

Describes two types of star charts commonly available for astronomical viewing and outlines a strategy by which teachers can have students use a computer spreadsheet to prepare their own easy-to-use star charts appropriate for the location, date, and time of viewing. (Author/MKR)

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)

Discusses possible approaches to solving the problem of how many different triangles can be formed on an n x n geoboard and the different geometric concepts utilized to formulate a solution. Approaches include counting strategies, writing a computer program, and using difference equations. (MDH)

Described are some classroom experiences teaching the concept of symmetry by having students create frieze patterns using the computer software "mosaic." Examples produced by 14-year-old students are presented, and student thinking in developing the friezes is discussed. (MDH)

Described is an activity that incorporates a computer, geometry, algebra, trigonometry, and calculus to answer questions about the planet Mars. A possible crescent of Mars is compared to those of Venus and Mercury. (KR)

Presents a discussion illustrating student reasoning while using LOGO to draw tilted squares and rectangles. Suggests that teachers recognize that many students use visual imagery to reason and discuss visual reasoning with students. Gives examples of tasks to promote discussion. (MDH)

This manual designed for grade 6 is part of a series for a program to integrate the teaching and learning of mathematical and computer concepts and skills in the elementary school. The manual contains 34 lessons. Each lesson includes information on the topic, suggested grade level, mathematics concepts and skills, objective, prerequisite skills…