Presents a teacher's guide and reproducible student worksheets to develop the procedure for finding the inverse of a function. (MKR)

Discusses the geometric interpretation of the roots of a quadratic equation. (MKR)

Presents a technique for teaching logarithms using function notation. (MKR)

Presents an investigation of a third-degree polynomial using a TI-82 graphing calculator. Also includes an algebraic solution. (MKR)

Explores many forms of a circle using variations of the distance formula. Metric space is defined and examples of metrics are given, including a "circle" that is a square. Also shown are variations which are not metrics. (MKR)

Provides a set of classroom activities or steps that can be used to determine the area of a triangle on a sphere. (ASK)

Argues that technology influences mathematics education by enabling students and teachers to discover and demonstrate generalizations and properties that were unthinkable a few years ago. Focuses on one example related to a paradox involving parabolas. (DDR)

Lists some ways that sequences were incorporated into mathematics lessons and explains a teacher's observations about the caliber of thinking and questioning that students develop as they learn appropriate ways to use numbers. Provides a number of questions that have been raised by students and the thinking prompted by a discussion of those…

Introduces human graphing by having students standing on certain coordinates instead of points plotted in ink. Includes teacher tips for success and possible graphing explorations. (KHR)

Graphs equations in two variables using a BASIC screen-sweep program that generates solutions to equations by applying the intermediate value theorem. Provides suggestions for investigations that result in graphs of a butterfly, the Cheshire cat, the Trisectrix of Catalna, E. T. waving goodbye, a praying mantis, and others. (MDH)

Discusses an alternative form of the quadratic formula to solve quadratic equations. Presents an application to chemistry to illustrate the need for quadratic formulas better suited to approximations obtained using hand-held calculators. Addresses the problems of rounding errors, accuracy of solutions, and factoring as a method of solution. (MDH)

Presents a mathematics activity that illustrates how such adjectives as elegant, surprising, concise, and challenging can be, and in fact are, attributed to proofs by a not very expert audience. (ASK)

Describes an activity in which students examine bicycle chain-rings, cogs, and gear ratios as a means of exploring algebraic relationships, data collection, scatter plots, and lines of best fit. (KHR)

Discusses representations in the context of solving a system of linear equations. Views representations (concrete, tables, graphs, algebraic, matrices) from perspectives of understanding, technology, generalization, exact versus approximate solution, and learning style. (KHR)

Introduces an activity that focuses on Hooke's law to implement and furnish applications of linear equations and graphing in a physical situation. (KHR)