This study investigated differences in achievement for control groups learning college algebra using traditional classroom instruction methods compared to experimental groups using computer algebra tutorials for three precalculus topics. Two instructors each taught one control group and one experimental group. No significant differences were…

The second in a series of three articles, some themes of an undercurrent of educational objectives that move beyond the evident content goals are outlined. The themes relate the computer software materials analyzed in Part I to the cognitive experiences that students should have in learning about subject matter. (MDH)

Described is a solution to the problem and a discussion of a computer estimation of the probability. A computer program written in Turbo Pascal and two sample runs are provided. Computations for a more general problem of this nature and changes in the program necessary for use with Apple Pascal are appended. (CW)

Rensselaer Polytechnic Institute (New York) is requiring all of its 1,000 freshmen to take required calculus courses utilizing the "Maple" computer program which can perform computations and quickly plot graphs. The program is intended to free students from meaningless manipulations and focus on concepts. Most students have reacted…

The LOGO subroutine turtle geometry and Euclidean geometry are compared with respect to their treatment of similarity and difference of plane figures. The problem and its proposed solution of introducing a FLIP operation are viewed briefly from the perspectives of mathematics, computer science, and education. (MDH)

Uses three computer software programs to help students develop algebraic reasoning. Programs include spreadsheets, Logo programming language, and Teasers by Tobbs. (ASK)

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)

Attempts to develop a global discussion about the roles of dynamic geometry systems (DGS) by addressing four points: (1) the variety of possible contexts for proof in a DGS; (2) the dual nature of proof (cognitive and social) as reflected in the "milieu" constructed around the use of a DGS; (3) from observing to proving; and (4) overcoming the…

This article suggests a framework to organise a cluster of variables that are associated with students' effective use of computer algebra systems (CAS) in mathematics learning. Based on a review of the literature and from the authors' own teaching experience, the framework identifies the main characteristics of students' interactions with CAS…

The recent development of powerful new technologies such as dynamic geometry software (DGS) with drag capability has made possible the continuous variation of geometric configurations and allows one to quickly and easily investigate whether particular conjectures are true or not. Because of the inductive nature of the DGS, the…

As part of a module on mathematical problem solving in an Initial Teacher Education programme, the student teachers are encouraged to produce alternative solutions to the problems they tackle and, in particular, to consider whether ICT can help. In this paper we discuss a number of unusual solutions produced for some of the problems, specifically…

This study focuses on the nature of preservice elementary school teachers' understandings of several concepts in elementary number theory that are evoked by a computer-based microworld called "Number Worlds". In particular, the focus is on the concepts of factor, multiple and prime number. The notion of "thickness" is examined with respect to…

To help students understand the real-world applications of calculus, our calculus students all take part in a lab. This is not another "computer lab" but a lab where the students perform experiments and then collect and analyze the data. The students are able to verify for themselves many of physical claims that are left as theory in…

The continuous technological progress of the past few decades affords a different orientation to the teaching-learning process, which is useful and advantageous when mathematical concepts are transmitted. This article pursues two different aims. The first one is to examine the present state of the traditional process in relation to the concepts of…

In the past, graphic calculators have been sophisticated and exciting tools for higher mathematics, but few would have considered using them more than occasionally with younger students. All this has now changed with the growing range of software Apps now available for Texas Instruments TI-83 Plus calculators. These Apps are more like computer…