Describes the entire process involved when an untried problem was presented to a group of teachers. The lessons learned from their struggles are helpful reminders that open-ended problems should be presented to high school students. (Author/NB)

Investigates mathematics in the societies of Southeast Asia and the South Pacific with special focus on the Philippines. Presents mathematical practices such as counting and measurement, time, geometry, and logic, in ancient and present day times. (KHR)

Illustrates exploration of composition of functions, translations, and inverse functions on a graphing calculator. Includes reproducible student worksheets. (MKR)

Presents an activity, involving pentagons and using a figure manipulator such as The Geometer's Sketchpad, that requires students to reason geometrically without making unsubstantiated assumptions based on diagrams. (MKR)

Presents an activity to help students overcome mathematics anxiety by collecting and organizing data through summarization and graphic representation. (MKR)

Describes the incorporation of audio-taped notes about student work, a rubric for scoring aspects of students' problem solving, and student portfolios in a program of classroom assessment. (MKR)

Describes the use of spreadsheets to discuss mathematical concepts without using algebraic notation. Presents examples using Fibonacci numbers and factorials. (MKR)

Presents activities with 10- and 4-straw flexigons, an object created by stringing together lengths of plastic drinking straws with nylon fishing line. Discusses several geometric theorems that can be demonstrated with flexigons. (MKR)

Presents a strategy for graphing conic sections on the polar plane without using a table of values by beginning with information gained from the graphs of circular functions. (MKR)

Attempts to answer and generalize the question: When is the numerical derivative obtained on the graphing calculator greater than the actual derivative, and when is it smaller? Discusses symmetric difference. (MKR)

Demonstrates the mathematical nature of a pollution problem in a marine environment. Includes reproducible student worksheets. (11 references) (MKR)

Uses probability and Pascal's triangle to analyze the game Plinko from the game show "The Price Is Right." (MKR)

Presents a solution to the problem of finding the probability that a needle would cross a crack in a tile floor when dropped. (MKR)

Analyzes how each of the three opponents could win on the game show "Jeopardy" regardless of their relative standing when they enter the Final Jeopardy round. Analyzes optimal strategies for each contestant using probabilities. (MKR)

Presents a problem and a line of reasoning inspired by working in dynamic geometry environments and allowing students to make a geometric construction on the computer and then manipulate the construction by dragging points, lines, and segments. (MKR)