With both "Cabri" and "Autograph" now venturing into 3D, the dimension that previously was only demonstrated in the classroom with a lot of arm waving and crude wire cages can now be explored dynamically on screen. "Cabri 3D" concentrates on constructions, using the principles of Euclidian geometry, whereas "Autograph" creates objects using a…

This article describes 2 experiments conducted with a computer-aided problem-solving tool called BRAIN, involving 30 adults of varying backgrounds and 15 organizational executives. The BRAIN program encourages users to discover partially and fully formulated insights, through iterative generation of word lists and meaningful statements. Eighty…

Discusses science mapping in the general context of information visualization and reviews attempts to construct maps of science using citation data, focusing on the use of co-citation clusters. Reports new work on a dataset of 36,00 documents using simplified methods for ordination and nesting maps hierarchically. Also discusses virtual-reality…

BMDP/Diamond for Windows was developed as a stand-alone software package for initial data exploration and screening. The program uses advanced visualization techniques to allow one to examine the data from different perspectives, or to manipulate graphics to gain greater insight. Data can be checked quickly for a variety of characteristics. (SLD)

The benefits of visualizing mathematics by using technology such as TI-92+ and mathematically oriented software (DERIVE 5 and CABRI II) are indisputable. On the basis of some examples we would like to show that visualizing techniques can help students to analyse certain mathematical problems better and give them strong support in finding formal…

These proceedings contain the papers of the International Conference on Mobile Learning 2013, which was organised by the International Association for Development of the Information Society, in Lisbon, Portugal, March 14-16, 2013. The Mobile Learning 2013 International Conference seeks to provide a forum for the presentation and discussion of…

A small class of functions is described that easily lend themselves to two-dimensional and three-dimensional visualizations at the basic calculus level. The intended audience is those educators involved in the instruction of elementary calculus. This note is an educational piece that begins with the question: "What happens if a function defined on…

The way in which computer algebra systems, such as Maple, have made the study of physical problems of some considerable complexity accessible to mathematicians and scientists with modest computational skills is illustrated by solving the multiple pendulum problem. A solution is obtained for four pendulums with no restriction on the size of the…

Geographic information systems (GIS) are computer-based tools for geographic data analysis and spatial visualization. They have become one of the information and communications technologies for education at all levels. This article reviews the current status of GIS in schools, analyzes the requirements of a GIS-based learning environment from…

Program visualization is one of the various methods developed over the years to aid novices with their difficulties in learning to program. It consists of different graphical--often animated--and textual objects, visualizing the execution of programs. The aim of program visualization is to enhance students' understanding of different areas of…

This study examines the Wheatley Cube as a measure of spatial/visualization ability. The Wheatley Cube is a computer managed task which requires the subject to visualize a three-dimensional workspace and to find an invisible dot located within this space. Thirty-three undergraduate students were administered four tests of spatial/imaginal ability…

Explores the role of proof in mathematics education and provides justification for its importance in the curriculum. Discusses three applications of dynamic geometry software--heuristics, exploration, and visualization--as tools in the teaching of proof and as potential challenges to the importance of proof. (Author/MM)

Reports on a long-term teaching experiment carried out in the 9th and 10th grades of a scientific high school as part of a larger research project. Aims to clarify the role of a particular software, Cabri Geometry, in the teaching/learning process. Focuses on the social construction of knowledge. (Author/MM)

This study investigated the effects of two computer-implemented techniques (colour and interactive animation) on learning 3D vectors. The participants were 43 female Saudi Arabian high school students. They were pre-tested on 3D vectors using a paper questionnaire that consisted of calculation and visualization types of questions. The students…

Designing successful learning environments entails drawing on theoretical perspectives on learning while, at the same time, being cognisant of the affordances and constraints of the technology. This paper reports on the development of a software environment called "3DMath", a dynamic three-dimensional geometry microworld aimed at enabling learners…