The three-dimensional design and production technologies are today widely used in many fields. Automotive, health, art and education, and especially architecture and engineering are among the prominent examples. The three-dimensional design technology can be categorized into two dimensions: design and production. The first of these dimensions,…

This paper presents apps designed to assist students in understanding and developing proofs in geometric theorems. These technologies focus on triangle congruence, triangle similarity and properties of parallelograms. Focus group discussions and initial testing of the apps revealed that the apps offered a more engaging medium for learning proving…

Mobile devices are characterized by attractive advantages, and provide broad benefits in the university students' math teaching. Our study proposes integrating the Mobile Applications in teaching geometry. Findings of the researches showed that students face difficulties in learning geometry. The material and virtual maneuvers may assist the…

A geometrical task is presented with multiple solutions using different methods, in order to show the connection between various branches of mathematics and to highlight the importance of providing the students with an extensive 'mathematical toolbox'. Investigation of the property that appears in the task was carried out using a computerized tool.

GeoGebra is a free tool that has the potential to change both how and what is taught in mathematics. GeoGebra allows teachers and students to explore various mathematical ideas either through the full applet (https://www.geogebra.org/graphing) or by sharing applets via GeoGebra's Materials site (https://www.geogebra. org/materials/). It has many…

An important and interesting area in the study of triangle geometry is the related issue of extrema problems and inequalities. These problems play a significant role in the mathematics study program in high school. In tasks such as these, the difficulty level is high when one does not know in advance what the expected answer is. When one knows…

Illustrates how a simple computer program on transformational geometry can be used. The three examples consider use when the program is unknown, the program listing is known, and the existing program is to be modified. (MNS)

The use of Logo to develop mathematical concepts is advocated. Children's comments as they work with Logo are presented. (MNS)

Having students draw and investigate geometric shapes in a Logo environment is advocated as an excellent way to have them constructively learn geometric concepts. This document illustrates the potential of Logo for getting high school students involved in mathematical explorations by presenting a sequence of seven activities. The activities…

The project described in this article grew from the observation that many geometry students are unable to see anything in a diagram beyond a static presentation. A computerized microworld called "Motions" is described, with illustrations. (MNS)

Some examples are given of geometric exploration and problem solving in which Logo is the primary tool and turtle graphics is the mathematical environment. Students can explore and develop important patterns while building visual intuition. (MNS)

How the computer can become an integral part of mathematics learning at the junior high school level is discussed in terms of mathematics processes. The rationale for activities involving programmed processes and examples of them are given. (MNS)

Described are: how teachers can use the computer language Logo, along with noncomputer activities, for teaching about linear and two-dimensional patterns and about combining shapes to create more complex shapes. Three computer program listings are included. (MNS)

These activities were designed for use at the University of Montana, where they were tested for four quarters in a mathematics for elementary teachers course on informal geometry. They are for use with Apple II-Plus computers with 64K memory or Apple IIe computers and MIT Logo. (Modifications are necessary if the activities are to be used with…

Shortcomings of current curricula for geometry in the elementary school are discussed. The use of the computer programing language Logo to develop geometric ideas is described, with supporting research. (MNS)