Powerful geometric software has been available to education for around 20 years but has not had the impact on teaching and learning of mathematics, science and technology that might have been expected. This is in contrast to the widespread adoption of software tools in the world outside education which use geometric algorithms to produce visual…

For online mathematics instructors, synchronous communication can be a challenge due to the need for specialized symbols, graphics, or notations to explain key concepts. While software tools exist to support such communication, they can often be cumbersome and time-consuming for users to adopt in online exchanges. As one way of addressing this…

This study implemented a multiplication program based on systematic practice, aimed at improving children's recall of basic multiplication facts. Four Year 5 classes were recruited to participate in the study. Two classes practised multiplication facts using pencil and paper worksheets and another two classes practised on computers. Eleven…

This article describes pedagogic issues in setting objective tests in mechanics using Question Mark Perception, coupled with MathML mathematics mark-up and the Scalable Vector Graphics (SVG) syntax for producing diagrams. The content of the questions (for a range of question types such as multi-choice, numerical input and variants such as…

The research question addressed by this study is whether or not students made effective use of dynamic geometry software to explore the validity of a geometrical statement. Particular attention was paid to the use of definitions and the types of justifications students employed. Interviews conducted with six secondary mathematics preservice…

The title may appear daunting, but the exercises, which can be presented to students from middle school to graduate school, are not. The exercises center on creating fractal images in the xy-plane with free. easy-to-use software and questions appropriate to the level of the student.

Learning with educational technology in higher education is rapidly increasing and shows promise of providing cost effective instructional delivery to a wide audience. Information technology scholars have begun to explore multiple antecedent variables leading to successful learning with technology. Yet, the ideal conditions or barriers have not…

This paper discusses the implementation of a new e-learning environment that supports non-rote learning of exploratory and inductive statistics within the pedagogical paradigm of social constructivism. The e-learning system is based on a new computational framework that allows us to create an electronic research environment where students are…

Simulations make it possible to explore physical and biological phenomena, where conducting the real experiment is impracticable or difficult. The implementation of a software program describing and simulating a given physical situation encourages the understanding of a phenomenon itself. Fifty-nine students, enrolled at the Mathematical Methods…

Mathematical knowledge can be categorized in different ways. One commonly used way is to distinguish between procedural mathematical knowledge and conceptual mathematical knowledge. Procedural knowledge of mathematics refers to formal language, symbols, algorithms, and rules. Conceptual knowledge is essential for meaningful understanding of…

In this paper, we introduce an electronic collaborative learning environment based on Interactive Instructors of Recreational Mathematics (IIRM), establishing an alternative approach for motivating students towards mathematics. The IIRM are educational software components, specializing in mathematical concepts, presented through recreational…

The LOGO Project, funded by the Texas Education Agency, is designed to not only increase participants' knowledge of technology to teach mathematics but to enhance their self-efficacy and self-determination, or the beliefs that individuals have about their ability to succeed and their motivation for involvement in the task, as well. The purpose of…

An understanding of past technological advancements can help educators understand the influence of new technologies in education. Inventions such as the abacus, logarithms, the slide rule, the calculating machine, computers, and electronic calculators have all found their place in mathematics education. While new technologies can be very useful,…

Geometry is an important branch of mathematics. Geometry curriculum can be enriched by using different Technologies such as graphing calculators and computers. Logo-based different software packages aim to improve conceptual understanding in geometry. The goals of this paper are i) to present theoretical foundations of any compute software…

A description is given of work with geometry students in Weston, Massachusetts. They were aided in thinking like geometers, with a curriculum based on conjecturing and problem posing, using the Geometric Supposer series of computer programs. (MNS)