Describes a simple experiment that uses a CCD video camera, a display monitor, and a laser-printed bar pattern to illustrate signal sampling problems that produce aliasing or moiri fringes in images. Uses the Fourier transform to provide an appropriate and elegant means to explain the sampling theorem and the aliasing phenomenon in CCD-based…

Overviews a model built to identify and organize successful use of information and communication technology (ICT) in secondary classrooms to support teaching and learning. Teachers found ICT most effective in facilitating routine components of classroom activity; increasing pupil productivity, confidence, and independence; supporting various…

Investigates the effects of inquiry activities on a dynamic geometry environment designed to confront students with contradictions and uncertainties. Characterizes epistemological, didactic, and cognitive aspects of the activities. Analyzes the interplay among these three aspects, students' investigations, and their explanations. (Author/KHR)

Reports on a study designed to build instructional software to improve estimation, reasoning, and problem solving skills using an animation-based tutor for algebra word problems. Concludes that estimation and the solution of simpler problems (i.e., decomposition) are effective strategies. (Author/MM)

Recounts the experiences of faculty members as they addressed some of the challenges presented in choosing and integrating a new technology, the TI-89 hand-held computer algebra system (CAS), into the core mathematics curriculum. Relates in detail deciding which instrument to choose, instructing students to use the technology, affecting the…

Investigates ways to analyze change in various contexts. Focuses on computer technology providing contexts for children's investigations of patterns of change and helping to develop foundational ideas of algebra and calculus. Discusses relationships between patterns of change, fundamental algebraic notions as linear and nonlinear functions, and…

Reviews research on the appropriateness of computer use with young children. Discusses the effects computer use on children's lives, interaction, social and emotional development, learning and thinking in mathematics, and the implications for teachers. (KHR)

Presents ideas for using a spreadsheet to reinforce teaching of enumerative combinatories in the secondary mathematics classroom. (PR)

Describes a project using computer and video technology to help students understand the criteria that were used to evaluate their statistics projects. (MKR)

Describes a classroom activity in which students explore a real-life application of algebra by sending secret messages to each other. (MKR)

Presents an application of the software tool DERIVE in the exploration and visualization of a relationship between logarithmic and exponential functions. (Author/MKR)

The question "What shape will have the largest area for a given perimeter?" identifies an important relationship between area and perimeter that has long been intuitively realized in many cultures. Historically, numerous cultures have made use of this relationship between area and perimeter when struggling to build dwellings with shapes…

Presents a case study of a learner engaged with a probability paradox. The case illustrates a Connected Mathematics Project approach: that primary obstacles to learning probability are conceptual and epistemological and that engagement with paradox can be a powerful means of motivating learners to overcome these obstacles. (71 references)…

Discusses the use of software created for practical, real-world applications to connect mathematics to other subjects and to the world outside the classroom. Software presented includes Design Your Own Home, Bridgebuilder, Physics Explorer, Aldus Superpaint, and Sprout. (MKR)

Presents ways to improve the accuracy of approximations of logarithms in a college-algebra course. (Author/ASK)