Brownian motion is an important stochastic process used in modelling the random evolution of stock prices. In their 1973 seminal paper--which led to the awarding of the 1997 Nobel prize in Economic Sciences--Fischer Black and Myron Scholes assumed that the random stock price process is described (i.e., generated) by Brownian motion. Despite its…

Courses below calculus need to be refocused to emphasise conceptual understanding and realistic applications via mathematical modelling rather than an overarching focus on developing algebraic skills that may be needed for calculus. Without understanding the concepts, students will not be able to transfer the mathematics to new situations or to…

The subject of q-calculus is a rich source of learning activities that address concept formation, exploration, variation, rich training and proof. This paper is a survey of the subject that shows how high school students using a computer algebra system can explore the field and prove some results. (Contains 7 figures.)

A technology instructor's job is not to simply "shovel out" knowledge; they must inspire students to seek out information on their own. Their mission is to prepare students for success in the workplace in the shortest practical time, and one of these workplace requirements is the ability to read and research on the job. Although most technology…

This article discusses how one professional development program (STAR Tech) used communities of practice to help teachers help each other integrate technology tools into the curriculum to benefit students with and without disabilities. This case study focused on the experience of one team member, a third grade teacher of an inclusive classroom.…

In the last years, Instructional Design has seen the development of visual notation systems for supporting and enhancing the design process. Some of them concern the definition of learning goals, while others address the definition of learning activities or learning materials. These tools supposedly reduce the cognitive load and enhance design…

Project 2061 suggests "technology provides the eyes and ears of science--and some of the muscle too. The electronic computer, for example, has led to substantial progress in the study of weather systems...." Obviously, now that teachers have access to a kaleidoscope of technological advancements, middle school science teachers can engage students…

The successful integration of computers in educational environments depends, to a great extent, on students' attitudes towards them. Widely used computer attitude scales (CASs) focus on the beliefs of typical computer users and do not reveal the more refined attitudes of groups that use computers extensively and develop unique relations with them.…

This paper describes the findings of a qualitative study to examine preservice teacher education students' experiences and reasons for creating digital teaching portfolios. Also, it examines the advantages and disadvantages of creating digital teaching portfolios. Findings indicate that the process of creating digital teaching portfolios was a…

In the fall of 2002, Visions In Education, a charter school for home-schooled and independent-study children, opened Visions High School Academy (www.visions academy.org), a virtual project-based high school. The five educators who started the program--Mark Jackson, Fred Lamora, Celine Darby, Jennifer Russell and the author--identified three…

Using the World Wide Web to teach foreign languages is ever increasing. In addition, the teaching of culture in foreign language instruction has become a standard element in most language classes. The combination of these two aspects leads to a dynamic approach for preparing students to compete in the global job market by making them more…

How to use the online social learning communities to improve quality and quantity of interactions in physical social learning communities is an important issue. This work describes the design and implementation of multilayer educational services platforms that enable learners to establish their own online social learning communities and integrate…

Greater opportunities exist now for meeting the needs of gifted and talented students than ever before. Even though the Internet is still in its infancy, the depth and breath of available information that it offers make it a versatile and extensive resource for developing talent. While individuals often view the Internet as a giant library, its…

The use and applications of new technologies in the education of the visually impaired have made substantial strides forward in recent years. New technology allows the visually impaired to enjoy better access to information, to read for themselves and, by extension, to improve their learning literacy. Nevertheless, despite the advances made in…

For history teachers, the Web seems ubiquitous these days. Many of them are completely accustomed to drawing on Web-based resources, constructing their own Web materials, engaging in various kinds of distance learning activities, and hearing colleagues talk about it whether or not they want to listen. It wasn't always this way, of course. The…