Usually, all the applications of dynamic geometry systems (DGS) presented to our students are strictly mathematical, meanwhile their interests are normally far away from mathematics. We would like to introduce here a motivating example outside the "standard applications" of DGS, presenting a completely different application of this kind…

Several factors have motivated the use of CAS or DGS in the teaching-learning process, such as: the development of new technologies, the availability of computers, and the widespread use of the Internet, among others. Even more, the trend to include CAS and DGS in the curricula of some undergraduate studies has resulted in the instruction of the…

Dynamic geometry software (DGS), such as Geometer's Sketchpad[TM], Cabri Geometry[TM], and GeoGebra[TM] has become a widely used classroom technology. The broad availability of DGS has given students the opportunity to engage in many aspects of reasoning and proof, including exploration, conjecture development, and proof, in its many roles. By…

These proceedings contain the papers of the 16th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2019), held during November 7-9, 2019, which has been organized by the International Association for Development of the Information Society (IADIS) and co-organised by University Degli Studi di Cagliari, Italy.…

Five guidelines for enhancing the value of a computer graphics program are described and illustrated. Using a well-structured program, correct scaling, normalized device coordinates, word coordinates, and illusions are discussed. (MNS)

A program for drawing a line segment is developed. (MNS)

A method of using microcomputers to teach polar coordinates and graphing is described. Two computer programs plus illustrations are included. (MNS)

Cabri3D is a potentially very useful software for learning and teaching 3D geometry. The dynamic nature of the digital diagrams produced with it provides a useful aid for helping students to better develop concept images of geometric concepts. However, since any Cabri3D diagram represents three-dimensional objects on the two dimensional screen of…

A real-life problem involving a greenskeeper needing to know the area of golf greens is presented, with solutions using a scale drawing, Maple's methods, and Heron's formula. Methods are checked with a computer and discussed mathematically. Three computer program listings are included. (MNS)

The programing language PROLOG is compared to LOGO in terms of its ability to handle mathematical ideas. This is demonstrated by using PROLOG in solving a geometric theorem and two lemmas. The listings of the computer programs used to solve the problems are included. (KR)

Discusses the golden ratio and how to make golden triangles using recursive Logo programs. Presents some outputs of the Penrose tile patterns. (YP)

The kaleidoscope is presented as a suitable topic for a preservice mathematics teacher's first contact with a nontrivial mathematical phenomenon. Included are historical notes on the kaleidoscope, explanation of the inner mechanisms of various kaleidoscope designs, and suggestions for further student investigations. (JJK)

This article describes how the method of reducing the scale of a graph can be used to illustrate many theorems in geometry concerning angle size. Four examples are presented. A computer program is provided to illustrate how such rescaling of figures can be implemented in LOGO. (Author/YP)

A computerized method is described whereby a mirror image pair of drawings, simultaneously drawn by the right and the left hands, can be compared. This BASIC computer program, which is available from the authors, has applications to a variety of psychological studies. (Author/JJK)