Produces algebraic solutions by reducing the problems to equations and arithmetic solutions that do not use variables. Investigates how the arithmetic solution helps students better understand the problem before they approach it algebraically and how logic used in solving the problem arithmetically can be directly linked to the algebraic…

Provides examples of geometry writing projects and discusses goals and difficulties of using these projects. Explores the process of grading and allowing student revisions of these projects by using a time-saving grading method. (Author/ASK)

Introduces handling data as conceived by Euclid, which provides some interesting possibilities for students to investigate fundamental geometrical ideas as well as relating some elementary geometry with elementary trigonometry. (ASK)

Presents six examples illustrating both the way in which the level of mathematical demand has been raised, and ways in which the response has sometimes been inadequate with the use of graphing calculator technology. (ASK)

Presents an activity that uses the world wide web to teach mathematics. The activity integrates science, language skills, and mathematics with higher levels of problem solving. (ASK)

Presents an activity using the familiar fairy tale "Cinderella" to provide the context for stimulating mathematical thinking about a real life problem. Makes use of graphing calculator technology to investigate the relationship between shoe sizes and shoe lengths. (ASK)

Considers teaching strategies to help children overcome misconceptions and difficulties with the mathematical concept of angles. (ASK)

Discusses the advantages of teaching with open-ended tasks and compares students' responses to open-ended, closed-area, and perimeter tasks. (ASK)

Presents activities to cultivate the tendency to see special qualities in numbers that can be played on certain calendar days. Includes games on the constant of the day, Fibonacci and golden ratio dates, primes, powers, December 25, and the day of the year. (ASK)

Presents an activity using geoboards to recognize similar and different relationships of triangles. (ASK)

Proposes the use of triex problems which emphasize exploration, explanation, and extraction. Provides examples of these kinds of problems. (ASK)

Discusses ways to help students improve their problem-solving skills. Presents some mathematics problems to be used in classrooms. (ASK)

Discusses the importance of communicating ideas in teaching any subject. Presents a story about an elementary-level mathematics lesson having to do with space and shape. Suggests that examining the assumptions held by teachers about the content of mathematics and how to communicate mathematics to students is very beneficial. (ASK)

Describes a house-buying active learning project designed to motivate students in lower level college mathematics courses. Discusses the mathematical content, implementation, evaluation, and benefits of the project. (Author/ASK)

Presents problems to find the integrals of logarithmic and inverse trigonometric functions early in the calculus sequence by using the Fundamental Theorem of Calculus and the concept of area, and without the use of integration by parts. (Author/ASK)