Demonstrates that the equation of a circle (x-h)2 + (y-k)2 = r2 with center (h; k) and radius r reduces to a quadratic equation x2-2xh + (h2 + k2 -r2) = O at the intersection with the x-axis. Illustrates how to determine the center of a circle as well as a point on a circle. (Author/ASK)

Describes an experiment with two participants, one of which is familiar with the Geometer's Sketchpad but not with Cabri-Geometre and vice versa. Displays the work of both participants when they are given two geometry problems in secret and 20 minutes to work on each, the first with software that they are familiar with and the second using the…

Presents two problems whose solutions can be enhanced using the Geometer's Sketchpad to solve the problems. Concludes that available computer technology can aid in the analysis and solution of some interesting geometry problems. (ASK)

Outlines a course on fractal geometry and chaos theory. Discusses how chaos theory and fractal geometry have begun to appear as separate units in the mathematics curriculum and offers an eight unit course by pulling together units related to chaos theory and fractal geometry. Contains 25 references. (ASK)

Presents a portfolio assignment giving students an opportunity for creativity in designing their portfolios to demonstrate their progress in the course. Presents examples from student portfolios and outlines portfolio goals. Concludes with student reactions to the class portfolio, information on the grading procedure, and candidate courses for…

Explains how geometric constructions can enrich students' visualization and comprehension of geometry. Presents examples of geometric constructions that students can construct using the Geometer's Sketchpad. (ASK)

Lists several problems that have proven to be successful in getting students to think about topics and notions they thought they knew. Indicates that students have not only solved the conundrums (often with help), but also developed them further into research projects. (Author/ASK)

Presents an analysis of written solutions to geometry exercises in the last year of Greek Lyceum which showed relatively low performance on vector methods. Justifies pupils' false preconceptions with regard to the concept of vectors, and the strong influence of classical geometry teaching in the previous years. (Author/ASK)

Describes a project that utilizes journal writing in the mathematics classroom. Journals are a valuable form of assessment for students and teachers and furnish concrete feedback on a student's understanding of a mathematical concept. (ASK)

Presents a mathematics lesson that focuses on particular connections between geometry and measurement, how change in shape effects the area of the interior region of parallelograms with the same perimeter. (ASK)

Uses the available data about the Titanic's passengers to interest students in exploring categorical data and the chi-square distribution. Describes activities incorporated into a statistics class and gives additional resources for collecting information about the Titanic. (ASK)

Encourages students to use reasoning and quantitative problem-solving skills to discover the solution to an important practical problem related to absolute-value function and statistical median. (ASK)

Presents cooperative-statistics teaching ideas. Argues that the cooperative-teaching approach strengthens introductory statistics teachers' sense of professional community, minimizes the amount of additional time and resources required, and increases the quality of statistics education. Contains 11 references. (ASK)

Uses the random-number generator and list features on the TI-83 graphing calculator to generate lists of sample means to help illustrate the concepts discussed in introductory statistics courses. (ASK)

Introduces a lesson that incorporates numeric, graphic, and algebraic approaches as well as a strong verbal communication component into the maximizing problem. (ASK)