Introduces a course using mPowerNet to develop course material by using computers to teach numeracy. Presents the guiding principles of the course, mathematics material, course material, and course guidance. (ASK)

Discusses issues related to the benefits of tutoring systems and the care needed in the domain of mathematics. Argues for a realistic learning environment in which a tutorial system could yield positive results. Lists some relevant and problematic tutoring systems features. Concludes with some guidelines for intelligent tutoring systems design in…

Describes how third grade students worked together to investigate relationships between fractions and percents using a spreadsheet tool. Highlights a dynamic classroom environment in which students and teachers work together as a community to learn and do mathematics. (ASK)

The current emphasis on flexible modes of mathematics delivery involving new information and communication technology (ICT) at the university level is perhaps a reaction to the recent change in the objectives of education. Abstract algebra seems to be one area of mathematics virtually crying out for computer instructional support because of the…

We present a card trick that can be used to review or teach a variety of topics in discrete mathematics. We address many subjects, including permutations, combinations, functions, graphs, depth first search, the pigeonhole principle, greedy algorithms, and concepts from number theory. Moreover, the trick motivates the use of computers in…

The purpose of this paper is to provide researchers with a shared framework, terminology and tool to improve the coherence of research into learning mathematics with CAS and to assist its findings to accumulate into a significant body of knowledge. Experience with calculators in arithmetic led to a framework for number sense. There is an obvious…

In the UK there is increasing concern about the lack of skill in algebraic manipulation that is evident in students entering mathematics courses at university level. In this note we discuss how the computer can be used to ameliorate some of the problems. We take as an example the calculations needed in three dimensional vector analysis in polar…

The Maui Hawaii Educational consortium (the Maui School District and Maui Community College) sought scientifically based evidence for the effectiveness of the "Cognitive Tutor" ("CT") Algebra I Curriculum to inform adoption decisions. Decision makers were particularly interested in whether the use of the "CT" program…

We describe a program that provides structured practice of prerequisite material to students in an ordinary differential equations course using an existing automated homework system originally designed for precalculus and calculus classes. The goal of the program is to improve students' comprehension of material presented in class by timing the…

In a small-scale study of Information and Communication Technology (ICT)-rich primary school, interactive whiteboards (IWBs) were found to be the predominant ICT tools used by teachers. The study sought to identify how the teachers used features of ICT to enhance learning, based on a list of ICT's functions published for teacher education…

This article illustrates how four teacher educators in training were challenged with respect to their epistemology and perceptions of teaching and learning mathematics through their interactions with expressive digital media during a professional development course. The research focused on their experience of communally constructing artifacts and…

Computers and calculators are in general widely used in Norwegian schools, but with limited use in specific school subjects, as particularly in mathematics teaching. Various reports from surveys and research projects indicate that teachers' competence with ICT is a crucial point, and that teachers' lack of knowledge of how to utilise software for…

This article presents an overview of the education system in Malaysia and highlights some issues pertaining to higher education. In addition, this article also looks at some issues specific to the teaching and learning of mathematics both at school and in the universities. Some data on students' achievements in mathematics examination at public…

This book builds on the social nature of learning to provide useful suggestions for reaching reluctant learners. It is based on the assumption that instruction that focuses on students' interests and builds on collaborative and differentiated learning will allow students to move from believing they "can't do mathematics or science" to a feeling of…

Learning in educational settings most often emphasizes declarative and procedural knowledge. Studies of expertise, however, point to other, equally important components of learning, especially improvements produced by experience in the extraction of information: "Perceptual learning." Here we describe research that combines principles of…