This case study investigates the impact of the integration of information and communications technology (ICT) in mathematics visualization skills and initial teacher education programmes. It reports on the influence GeoGebra dynamic software use has on promoting mathematical learning at secondary school and on its impact on teachers' conceptions…

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…

This design and development research was motivated by the rapid expansion and use of GeoGebra by mathematics educators (teachers and lecturers) in Indonesia. One of GeoGebra features is GeoGebra Applet that can be used, modified, and/or developed by educators for dynamic and interactive mathematics teaching and learning. At the time of research…

Discusses computer solutions for factoring problems. Includes listing for (1) a program that multiplies two user-chosen factors (X-R times X-S) and allows subsequent multiplications by more linear factors and (2) a program which computes P(X)/(AX plus B), where P(X) is a user-chosen polynomial and AX plus B is a user-chosen divisor. (JN)

How 125 seventh graders had three days of hands-on computer experience is described in some detail. Computer programs are included. (MNS)

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 suggested program is designed for mathematics teachers. It concerns the solution of systems of linear equations, but it does not complete the job on its own. The user is the solver while the computer is merely a computing assistant. (MNS)

This paper, which addresses the issue of representation as an internal construct corresponding to an external abstract configuration, attempts to extend A. A. DiSessa's phenomenological primitives to mathematics (particularly to the notion of circle). Various acceptations of the word representation are examined, using the notion of a circle as an…

An application of functions and their inverses is described--the coding and decoding of messages, or cryptographs. The helpfulness of computers is noted, with two programs listed. (MNS)

Presents a set of classroom activities and a computer program that have been used to help students intuitively grasp, in a minimum of instructional time, such fundamental concepts as hypothesis testing, random sampling, statistical inference and p-values. The lesson shows students how statistical thinking and microcomputers can be used in…

Suggested is the presentation of problems for which student teams are to write computer programs which will reveal the results of guesses at the answer by users of the program. Illustrative problems and programs are included. (MNS)

The use of a synthetic division microcomputer program in searching for the zeros in polynomial functions is described. A program listing and outputs are included. (MNS)

A programing approach is described, using numerical methods to draw implicit functions, without solving the relationships explicitly. Several examples are discussed, with programs and printouts included. (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)